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Subsonic flow past localised heating elements in boundary layers

Published online by Cambridge University Press:  24 May 2017

A. F. Aljohani  and
J. S. B. Gajjar Open the ORCID record for J. S. B. Gajjar [Opens in a new window]
A. F. Aljohani
Affiliation:
Department of Mathematics, Faculty of Science, University of Tabuk, Saudi Arabia School of Mathematics, University of Manchester, Manchester M13 9PL, UK
J. S. B. Gajjar*
Affiliation:
School of Mathematics, University of Manchester, Manchester M13 9PL, UK
*
†Email address for correspondence: [email protected]
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Abstract

The problem of subsonic flow past micro-electro-mechanical-system-type (MEMS-type) heating elements placed on a flat surface, where the MEMS devices have hump-shaped surfaces, is investigated using triple-deck theory. The compressible Navier–Stokes equations supplemented by the energy equation are considered in the limit that the Reynolds number is large. The triple-deck problem is formulated, and the linear and nonlinear analysis and results are presented. The current work is a generalisation of the problem discussed by Koroteev & Lipatov (J. Fluid Mech., vol. 707, 2012, pp. 595–605; Z. Angew. Math. Mech., vol. 77, 2013, pp. 486–493), where the MEMS devices have flat-shaped surfaces. The results show that the hump-shaped heating elements enhance large drops in pressure, and peaks and troughs in the skin friction over the centre of the hump compared with the flat-shaped devices, which may be useful for controlling the flow.

JFM classification

Aerodynamics: Aerodynamics Boundary Layers: Boundary Layers Flow Control: Flow Control
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 821 , 25 June 2017 , R2
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Copyright
© 2017 Cambridge University Press 

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References

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