Transonic flow over localised heating elements in boundary layers

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Abstract

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 non-linear viscous lower deck problem coupled with the upper deck problem governed by the nonlinear Karman- Guderlay 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 a possibility of using the elements to favourably control the transonic flow field.

Bibliographical metadata

Original languageEnglish
JournalJournal of Fluid Mechanics
Early online date12 Apr 2018
DOIs
Publication statusPublished - 10 Jun 2018

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