Transonic flow over localised heating elements in boundary layers

The problem of transonic flow past an array of micro-electro-mechanical-type (MEMS-type) heating elements placed on a flat surface is investigated using the triple-deck theory. The compressible Navier–Stokes equations supplemented by the energy equation are considered for large Reynolds numbers. The...

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Bibliographic Details
Published in:Journal of fluid mechanics 2018-06, Vol.844, p.746-765
Main Authors: Aljohani, A. F., Gajjar, J. S. B.
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary element method
Boundary layer
Boundary layers
Chebyshev approximation
Compressibility
Computational fluid dynamics
Decks
Energy equation
Flat surfaces
Heating
JFM Papers
Mathematical models
Microelectromechanical systems
Navier-Stokes equations
Numerical methods
Pressure distribution
Supersonic flow
Theory
Transonic flow
Triple-deck theory
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Summary:The problem of transonic flow past an array of micro-electro-mechanical-type (MEMS-type) heating elements placed on a flat surface is investigated using the triple-deck theory. The compressible Navier–Stokes equations supplemented by the energy equation are considered for large Reynolds numbers. The triple-deck problem is formulated with the aid of the method of matched expansions. The resulting nonlinear viscous lower deck problem, coupled with the upper deck problem governed by the nonlinear Kármán–Guderley equation, is solved using a numerical method based on Chebyshev collocation and finite differences. Our results show the differences in subsonic and supersonic flow behaviour over heated elements. The results indicate the possibility of using the elements to favourably control the transonic flow field.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2018.216