Investigation of incompressible boundary layers with viscous heat conduction

The incompressible boundary layers are investigated including viscous heat conduction applying the two-dimensional self-similar Ansatz. Analytic solutions are evaluated for the velocity and for the pressure fields. The velocity field can be expressed with the Gaussian and the error functions. Due to the viscous heating term no analytic results are available for the temperature distribution. The parameter dependencies are examined, discussed and shown on the presented figures.