Modeling of fluid flow along a small heated irregularity on the plate surface in the framework of double-deck boundary layer structure

Indian Journal of Pure and Applied Mathematics. 2026. Vol. 57. No. 3. P. 808–825.

Gaydukov R. K.

The paper is deals with the heat transfer in the laminar flow of a viscous incompressible fluid along a plate with a small heated localized irregularity. It is well known that double- and triple-deck structures of the boundary layer arise in such flow problems. These structures make it possible, among other things, to describe the phenomenon of separation of the boundary layer behind irregularities. In this paper, we study the heat transfer in the double-deck structure of the boundary layer. The asymptotic solution with double-deck structure is constructed for the problem under consideration for large Reynolds numbers. The results of numerical simulation of heat transfer in the region near the streamlined surface are presented. In particular, the effect of the presence of a separation zone (region with vortex) on heat transfer was studied, as well as the magnitude of the heat flux from the streamlined surface. The obtained results  can be used in the design of  cooling systems for microsized devices.

Keywords: asymptotics, heat transfer, численное моделирование, numerical modeling, асимптотики, теплоперенос, Double-deck structure, двухпалубная структура