Local temperature perturbations in the boundary layer in regime of free viscous-inviscid interaction

TL;DR

This paper investigates how local heating elements affect supersonic laminar boundary layer flows, using free interaction theory and numerical solutions to understand the influence of thermal perturbations on flow behavior.

Contribution

It introduces a numerical approach to analyze local temperature perturbations in supersonic boundary layers within the free interaction regime.

Findings

Flow disturbances are described by free interaction theory for specific thermal source sizes.

Numerical solutions are constructed for the viscous asymptotic layer in supersonic flow.

Thermal perturbations influence pressure distribution in the boundary layer.

Abstract

We analyze the disturbed flow in the supersonic laminar boundary layer when local heated elements are placed on the surface. It is exhibited that these flows are described in terms of free interaction theory for specific sizes of thermal sources. We construct the numerical solution for flat supersonic problem in the viscous asymptotic layer in which the flow is described by nonlinear equations for vorticity, temperature with the interaction condition which provides influence of perturbations to the pressure in the main order.