Transient turbulent heat transfer in annuli

An analysis is made of unsteady convective heat transfer in a hydrodynamically stabilized steady turbulent flow of a viscous incompressible fluid in concentric annuli. The wall heat flux varies with time according to an arbitrary law. The formulation permits the heat transfer coefficient to vary also with time and position. The energy equation is solved using the method of superposition and separating variables by finite integral transform. Use of the generalized results is detailed illustrated by application to the case where the wall heat flux varies exponentially with time. Results are discussed subject to different Reynolds and Prandtl numbers. (orig.)