{"id":4950,"date":"2024-12-16T09:43:47","date_gmt":"2024-12-16T08:43:47","guid":{"rendered":"https:\/\/www.hds.bme.hu\/stability\/"},"modified":"2025-12-31T22:03:48","modified_gmt":"2025-12-31T21:03:48","slug":"stability","status":"publish","type":"page","link":"https:\/\/www.hds.bme.hu\/en\/research\/research-groups\/stability\/","title":{"rendered":"Stability"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-background-image:linear-gradient(180deg, var(--awb-color4) 60%,var(--awb-color1) 60%);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:20px;--awb-spacing-right-large:10px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:10px;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:10px;--awb-spacing-left-medium:10px;--awb-width-small:100%;--awb-order-small:0;--awb-margin-top-small:0px;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-aspect-ratio:21 \/ 9;--awb-object-position:49% 9%;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none has-aspect-ratio\" style=\"border-radius:12px;\"><img decoding=\"async\" width=\"2048\" height=\"1365\" title=\"2024_04_12_HDR_tanszek-148\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%272048%27%20height%3D%271365%27%20viewBox%3D%270%200%202048%201365%27%3E%3Crect%20width%3D%272048%27%20height%3D%271365%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2024_04_12_HDR_tanszek-148.webp\" class=\"lazyload img-responsive wp-image-8273 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" alt \/><\/span><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top-medium:40px;--awb-padding-bottom-medium:48px;--awb-padding-top-small:0px;--awb-padding-bottom-small:20px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_3_4 3_4 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:75%;--awb-margin-top-large:20px;--awb-spacing-right-large:2.56%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:2.56%;--awb-width-medium:66.666666666667%;--awb-order-medium:0;--awb-spacing-right-medium:2.88%;--awb-spacing-left-medium:2.88%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\"><p>Instabilities in flow have two important engineering implications. Speed and pressure oscillating in time create sound and noise. This is useful in some cases, such as musical instruments, but in other cases our goal is to reduce it. Another such area is that fluctuations significantly increase the flow resistance or the energy required to maintain the flow.<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-3 fusion-flex-container has-pattern-background has-mask-background hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-right:6%;--awb-padding-left:6%;--awb-padding-top-medium:40px;--awb-padding-right-medium:4%;--awb-padding-bottom-medium:48px;--awb-padding-left-medium:4%;--awb-padding-top-small:20px;--awb-padding-bottom-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:20px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-text fusion-title-size-one\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h1 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:60;line-height:var(--awb-typography1-line-height);\">Our research areas<\/h1><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-position:center top;--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:10px;--awb-spacing-right-large:4.8%;--awb-margin-bottom-large:10px;--awb-spacing-left-large:4.8%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-aspect-ratio:1 \/ 1;--awb-object-position:48% 46%;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-2 hover-type-none has-aspect-ratio\" style=\"border-radius:12px;\"><img decoding=\"async\" width=\"560\" height=\"420\" title=\"Boundary_layer_magnitude_rigid_wall\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27560%27%20height%3D%27420%27%20viewBox%3D%270%200%20560%20420%27%3E%3Crect%20width%3D%27560%27%20height%3D%27420%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2024\/12\/Boundary_layer_magnitude_rigid_wall.gif\" class=\"lazyload img-responsive wp-image-3158 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" alt \/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-4 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:20px;--awb-spacing-right-large:14.4%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:19.2%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:5.76%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-2 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color7);--awb-margin-top:0px;--awb-margin-bottom:16px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">Areoacoustics<\/h4><\/div><div class=\"fusion-title title fusion-title-3 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top:0px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:48;line-height:1.2;\">Noise source modeling and noise propagation analysis<\/h2><\/div><div class=\"fusion-text fusion-text-2\"><p>Our research group is working on modeling wind instruments, such as organ pipes or flutes, or cavity sound, which is an unwanted source of noise in the gaps of vehicles. We developed new models to describe the oscillations using stability testing methods. With the help of additional models, we were able to describe the relationship between the acoustic and flow fields more precisely. Furthermore, we are working on creating low-order models that can be used to examine and simulate the behavior of dynamic systems in real time.<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-4 fusion-flex-container has-pattern-background has-mask-background hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-right:6%;--awb-padding-left:6%;--awb-padding-top-medium:40px;--awb-padding-right-medium:4%;--awb-padding-bottom-medium:48px;--awb-padding-left-medium:4%;--awb-padding-top-small:20px;--awb-padding-bottom-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-5 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:20px;--awb-spacing-right-large:14.4%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:19.2%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:5.76%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-4 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color7);--awb-margin-top:0px;--awb-margin-bottom:16px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">Loss reduction<\/h4><\/div><div class=\"fusion-title title fusion-title-5 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top:0px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:48;line-height:1.2;\">Reducing air resistance with mini vortex generators<\/h2><\/div><div class=\"fusion-text fusion-text-3\"><p>Instabilities in flows contribute significantly to unwanted flow losses. For example, moving a vehicle in water or air requires energy. The increase in losses itself is quite diverse. The loss of flow stability can contribute to the development of turbulence, which still poses serious modeling challenges. In turbulent flow, losses are generally at least an order of magnitude larger than if the flow had remained laminar under similar conditions. Instability waves can not only lead to the development of turbulence, but can also develop in turbulent flow, further increasing losses. Our research group has developed methods, mainly for streamlined bodies, that can delay the laminar-turbulent transition. Among other things, we deal with elastic coatings, the effect of miniature vortex generators, and the modeling of surface roughness. Regardless, we are available in all areas of loss reduction, both within the framework of consulting and joint R&amp;D projects.<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-6 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-position:center top;--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:10px;--awb-spacing-right-large:4.8%;--awb-margin-bottom-large:10px;--awb-spacing-left-large:4.8%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-aspect-ratio:1 \/ 1;--awb-object-position:49% 47%;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-3 hover-type-none has-aspect-ratio\" style=\"border-radius:12px;\"><img decoding=\"async\" width=\"1535\" height=\"945\" title=\"MVG_rec_drawing_illustration_2\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/MVG_rec_drawing_illustration_2.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/MVG_rec_drawing_illustration_2.webp\" class=\"lazyload img-responsive wp-image-8281 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" alt srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%271535%27%20height%3D%27945%27%20viewBox%3D%270%200%201535%20945%27%3E%3Crect%20width%3D%271535%27%20height%3D%27945%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/MVG_rec_drawing_illustration_2-200x123.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/MVG_rec_drawing_illustration_2-400x246.webp 400w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/MVG_rec_drawing_illustration_2-600x369.webp 600w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/MVG_rec_drawing_illustration_2-800x493.webp 800w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/MVG_rec_drawing_illustration_2-1200x739.webp 1200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/MVG_rec_drawing_illustration_2.webp 1535w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 600px\" \/><\/span><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-5 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--link_hover_color: var(--awb-color5);--link_color: var(--awb-color7);--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-bottom:40px;--awb-padding-top-medium:0px;--awb-padding-top-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-flex-end fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-7 fusion_builder_column_1_3 1_3 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:33.333333333333%;--awb-margin-top-large:20px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:30px;--awb-spacing-left-large:5.76%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-margin-bottom-medium:0px;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-margin-top-small:0px;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-6 fusion-sep-none fusion-title-text fusion-title-size-three\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:36;line-height:1.3;\">Projects<\/h3><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-8 fusion_builder_column_2_3 2_3 fusion-flex-column fusion-flex-align-self-stretch\" style=\"--awb-padding-top:36px;--awb-padding-right:40px;--awb-padding-bottom:16px;--awb-padding-left:40px;--awb-overflow:hidden;--awb-bg-color:var(--awb-color1);--awb-bg-color-hover:var(--awb-color1);--awb-bg-size:cover;--awb-box-shadow:0px 2px 4px -1px hsla(var(--awb-color8-h),var(--awb-color8-s),var(--awb-color8-l),calc( var(--awb-color8-a) - 92% ));;--awb-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),var(--awb-color8-l),calc( var(--awb-color8-a) - 92% ));--awb-border-top:1px;--awb-border-right:1px;--awb-border-bottom:1px;--awb-border-left:1px;--awb-border-style:solid;--awb-border-radius:8px 8px 8px 8px;--awb-width-large:66.666666666667%;--awb-margin-top-large:20px;--awb-spacing-right-large:20px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:20px;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:20px;--awb-spacing-left-medium:20px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:20px;--awb-margin-bottom-small:10px;--awb-spacing-left-small:20px;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-4 hover-type-none\" style=\"border-radius:12px;\"><img decoding=\"async\" width=\"358\" height=\"192\" title=\"footer_logo\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/footer_logo.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/footer_logo.webp\" alt class=\"lazyload img-responsive wp-image-8177\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27358%27%20height%3D%27192%27%20viewBox%3D%270%200%20358%20192%27%3E%3Crect%20width%3D%27358%27%20height%3D%27192%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/footer_logo-200x107.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/footer_logo.webp 358w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 358px\" \/><\/span><\/div><div class=\"fusion-title title fusion-title-7 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">NKFIH Scholarships<\/h4><\/div><div class=\"fusion-text fusion-text-4\" style=\"--awb-margin-top:-18px;\"><p>OTKA<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-6 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top-medium:80px;--awb-padding-bottom-medium:60px;--awb-padding-top-small:32px;--awb-padding-bottom-small:32px;--awb-background-color:var(--awb-color4);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-9 fusion_builder_column_1_1 1_1 fusion-flex-column fusion-no-small-visibility fusion-no-medium-visibility\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:20px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-8 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:48;line-height:1.2;\">Research group leaders<\/h2><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-10 fusion_builder_column_1_3 1_3 fusion-flex-column fusion-column-inner-bg-wrapper fusion-column-liftup-border\" style=\"--awb-padding-top:24px;--awb-padding-right:40px;--awb-padding-bottom:18px;--awb-padding-left:40px;--awb-overflow:hidden;--awb-inner-bg-color:var(--awb-color1);--awb-inner-bg-color-hover:var(--awb-color1);--awb-inner-bg-size:cover;--awb-inner-bg-box-shadow:0px 2px 4px -1px hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));;--awb-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));--awb-inner-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));--awb-border-top:2px;--awb-inner-border-top:2px;--awb-border-right:2px;--awb-inner-border-right:2px;--awb-border-bottom:2px;--awb-inner-border-bottom:2px;--awb-border-left:2px;--awb-inner-border-left:2px;--awb-border-style:solid;--awb-inner-border-style:solid;--awb-border-radius:8px 8px 8px 8px;--awb-liftup-border-radius:8px 8px 8px 8px;--awb-width-large:33.333333333333%;--awb-margin-top-large:20px;--awb-spacing-right-large:16px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:16px;--awb-width-medium:33.333333333333%;--awb-order-medium:0;--awb-spacing-right-medium:10px;--awb-spacing-left-medium:10px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-margin-bottom-small:10px;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><span class=\"fusion-column-inner-bg hover-type-liftup\"><a class=\"fusion-column-anchor\" href=\"https:\/\/www.hds.bme.hu\/en\/about-the-department\/our-employees\/gyorgy-paal\/\"><span class=\"fusion-column-inner-bg-image\"><\/span><\/a><\/span><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:center;--awb-aspect-ratio:1 \/ 1;--awb-object-position:52% 0%;--awb-margin-top:24px;--awb-margin-right:24px;--awb-margin-bottom:24px;--awb-margin-left:24px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-5 hover-type-none has-aspect-ratio\" style=\"border-radius:500px;\"><img decoding=\"async\" width=\"1365\" height=\"2048\" title=\"2024_04_12_HDR_tanszek-9\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-9.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-9.webp\" class=\"lazyload img-responsive wp-image-7414 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" alt srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%271365%27%20height%3D%272048%27%20viewBox%3D%270%200%201365%202048%27%3E%3Crect%20width%3D%271365%27%20height%3D%272048%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-9-200x300.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-9-400x600.webp 400w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-9-600x900.webp 600w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-9-800x1200.webp 800w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-9-1200x1800.webp 1200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-9.webp 1365w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 400px\" \/><\/span><\/div><div class=\"fusion-title title fusion-title-9 fusion-sep-none fusion-title-text fusion-title-size-three\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:36;line-height:1.3;\">Dr. Gy\u00f6rgy Pa\u00e1l<\/h3><\/div><div class=\"fusion-text fusion-text-5\" style=\"--awb-content-alignment:left;--awb-font-size:16px;--awb-line-height:26px;--awb-margin-top:-20px;\"><p>university professor<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-11 fusion_builder_column_1_3 1_3 fusion-flex-column fusion-column-inner-bg-wrapper fusion-column-liftup-border\" style=\"--awb-padding-top:24px;--awb-padding-right:40px;--awb-padding-bottom:18px;--awb-padding-left:40px;--awb-overflow:hidden;--awb-inner-bg-color:var(--awb-color1);--awb-inner-bg-color-hover:var(--awb-color1);--awb-inner-bg-size:cover;--awb-inner-bg-box-shadow:0px 2px 4px -1px hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));;--awb-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));--awb-inner-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));--awb-border-top:2px;--awb-inner-border-top:2px;--awb-border-right:2px;--awb-inner-border-right:2px;--awb-border-bottom:2px;--awb-inner-border-bottom:2px;--awb-border-left:2px;--awb-inner-border-left:2px;--awb-border-style:solid;--awb-inner-border-style:solid;--awb-border-radius:8px 8px 8px 8px;--awb-liftup-border-radius:8px 8px 8px 8px;--awb-width-large:33.333333333333%;--awb-margin-top-large:20px;--awb-spacing-right-large:16px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:16px;--awb-width-medium:33.333333333333%;--awb-order-medium:0;--awb-spacing-right-medium:10px;--awb-spacing-left-medium:10px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-margin-bottom-small:10px;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><span class=\"fusion-column-inner-bg hover-type-liftup\"><a class=\"fusion-column-anchor\" href=\"https:\/\/www.hds.bme.hu\/en\/about-the-department\/our-employees\/peter-nagy\/\"><span class=\"fusion-column-inner-bg-image\"><\/span><\/a><\/span><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:center;--awb-aspect-ratio:1 \/ 1;--awb-object-position:52% 0%;--awb-margin-top:24px;--awb-margin-right:24px;--awb-margin-bottom:24px;--awb-margin-left:24px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-6 hover-type-none has-aspect-ratio\" style=\"border-radius:500px;\"><img decoding=\"async\" width=\"1365\" height=\"2048\" title=\"2024_04_12_HDR_tanszek-36\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-36.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-36.webp\" class=\"lazyload img-responsive wp-image-7665 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" alt srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%271365%27%20height%3D%272048%27%20viewBox%3D%270%200%201365%202048%27%3E%3Crect%20width%3D%271365%27%20height%3D%272048%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-36-200x300.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-36-400x600.webp 400w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-36-600x900.webp 600w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-36-800x1200.webp 800w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-36-1200x1800.webp 1200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-36.webp 1365w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 400px\" \/><\/span><\/div><div class=\"fusion-title title fusion-title-10 fusion-sep-none fusion-title-text fusion-title-size-three\" style=\"--awb-margin-top:20px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:36;line-height:1.3;\">Dr. P\u00e9ter Nagy<\/h3><\/div><div class=\"fusion-text fusion-text-6\" style=\"--awb-content-alignment:left;--awb-font-size:16px;--awb-line-height:26px;--awb-margin-top:-20px;\"><p>associate professor<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-7 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-12 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:20px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-11 fusion-sep-none fusion-title-text fusion-title-size-three\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:36;line-height:1.3;\">Additional staff<\/h3><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-13 fusion_builder_column_1_2 1_2 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:3.84%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><ul style=\"--awb-iconcolor:var(--awb-color7);--awb-line-height:30.6px;--awb-icon-width:30.6px;--awb-icon-height:30.6px;--awb-icon-margin:12.6px;--awb-content-margin:43.2px;\" class=\"fusion-checklist fusion-checklist-1 fusion-checklist-default type-icons\"><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon fa-user-alt fas\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>Andr\u00e1s Szab\u00f3<\/p>\n<\/div><\/li><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon fa-user-alt fas\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>M\u00e1rton Kulcs\u00e1r<\/p>\n<\/div><\/li><\/ul><\/div><\/div><\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"parent":4969,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"100-width.php","meta":{"footnotes":""},"class_list":["post-4950","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Stability - BME Department of Hydrodynamic Systems<\/title>\n<meta name=\"robots\" content=\"index, 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