Self-similar analysis of the time-dependent compressible and incompressible boundary layers including heat conduction

Abstract

We investigate the incompressible and compressible heat conducting boundary layer with applying the two-dimensional self-similar Ansatz. Analytic solutions can be found for the incompressible case which can be expressed with special functions. The parameter dependencies are studied and discussed in details. In the last part of our study we present the ordinary differential equation (ODE) system which is obtained for compressible boundary layers.

arXiv comment15 pages, 4 figures

References in corpus (4)

• A class of new stable, explicit methods to solve the non-stationary heat equation
• Analytic self-similar solutions of the Oberbeck-Boussinesq equations
• New stable, explicit, first order method to solve the heat conduction equation
• Self-similar analysis of a viscous heated Oberbeck-Boussinesq flow system