Influence of wall waviness on friction and pressure drop in channels
An attention has been given to investigate the flow behavior of an incompressible viscous fluid confined in horizontal wavy channels and set in motion due to the movement of the upper wall and the pressure differences. The governing equations have been solved analytically as well as numerically subj...
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1981-01-01
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Online Access: | http://dx.doi.org/10.1155/S0161171281000628 |
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doaj-17d8e66507d84525ba8d6f82944eb9362020-11-25T01:04:42ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014480581810.1155/S0161171281000628Influence of wall waviness on friction and pressure drop in channelsK. Vajravelu0Ali H. Nayfeh1Department of Mathematics, East Carolina University, Greenville 27834, North Carolina, USADepartment of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg 24061, Virginia, USAAn attention has been given to investigate the flow behavior of an incompressible viscous fluid confined in horizontal wavy channels and set in motion due to the movement of the upper wall and the pressure differences. The governing equations have been solved analytically as well as numerically subject to the relevant boundary conditions by assuming that the solution consists of two parts: a mean part and a disturbance or perturbed part. For small and moderate Reynolds numbers, the analytical solution for the perturbed part has been found to be in good agreement with the numerical one. The effects of Reynolds number, the pressure gradient parameter, and the undulation wavenumber on friction and pressure drop are found to be quite significant. In addition to the flow behavior for both long and short waves and for large Reynolds numbers, the effect of the wall waviness on friction and pressure drop has been examined for any arbitrary amplitude of the wavy wall.http://dx.doi.org/10.1155/S0161171281000628incompressible viscous flowlaminar flowpressure dropskin frictionand waviness. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
K. Vajravelu Ali H. Nayfeh |
spellingShingle |
K. Vajravelu Ali H. Nayfeh Influence of wall waviness on friction and pressure drop in channels International Journal of Mathematics and Mathematical Sciences incompressible viscous flow laminar flow pressure drop skin friction and waviness. |
author_facet |
K. Vajravelu Ali H. Nayfeh |
author_sort |
K. Vajravelu |
title |
Influence of wall waviness on friction and pressure drop in channels |
title_short |
Influence of wall waviness on friction and pressure drop in channels |
title_full |
Influence of wall waviness on friction and pressure drop in channels |
title_fullStr |
Influence of wall waviness on friction and pressure drop in channels |
title_full_unstemmed |
Influence of wall waviness on friction and pressure drop in channels |
title_sort |
influence of wall waviness on friction and pressure drop in channels |
publisher |
Hindawi Limited |
series |
International Journal of Mathematics and Mathematical Sciences |
issn |
0161-1712 1687-0425 |
publishDate |
1981-01-01 |
description |
An attention has been given to investigate the flow behavior of an
incompressible viscous fluid confined in horizontal wavy channels and set in motion due to the movement of the upper wall and the pressure differences. The governing equations have been solved analytically as well as numerically subject to the relevant boundary conditions by assuming that the solution consists of two parts: a mean part and a disturbance or perturbed part. For small and moderate Reynolds numbers, the analytical solution for the perturbed part has been found to be in good agreement with the numerical one. The effects of Reynolds number, the pressure gradient parameter, and the undulation wavenumber on friction and pressure drop are found to be quite significant. In addition to the flow behavior for both long and short waves and for large Reynolds numbers, the effect of the wall waviness on friction and pressure drop has been examined for
any arbitrary amplitude of the wavy wall. |
topic |
incompressible viscous flow laminar flow pressure drop skin friction and waviness. |
url |
http://dx.doi.org/10.1155/S0161171281000628 |
work_keys_str_mv |
AT kvajravelu influenceofwallwavinessonfrictionandpressuredropinchannels AT alihnayfeh influenceofwallwavinessonfrictionandpressuredropinchannels |
_version_ |
1725196587382079488 |