Thermal Boundary Layers Without Coupling of the Velocity Field to the Temperature Field

Abstract

Our considerations of boundary-layer flows up until now have referred only to the velocity field. These will now be correspondingly extended to include the temperature field. It will be assumed that heat is transferred to the flow field through the surrounding walls, so that a temperature field forms together with the velocity field. It will be seen that the temperature field also has a boundary=layer character at high Reynolds numbers, i.e. the temperature field can also be divided into two regions: in the region close to the wall, where the thermal conductivity λ plays a role, and a region where λ can be neglected. If both a velocity field and a temperature field exist, there is generally also a mutual coupling between these two fields.