Integral transform for periodic laminar forced convection in simultaneously developing flow

This work presents a theoretical study of periodic laminar forced convectio n for the simultaneously developing flow between parallel plates channel A generic boundary condition of the fifth kind that accounts for both externa l convection and wall thermal capacitance effects is imposed. The flow is s ubjected to a periodic variation of the inlet temperature. The results are obtained through the generalized integral transform technique (GITT). This hybrid numerical-analytical approach is applied to the steady two-dimension al incompressible Navier-Stokes equations in stream-function-only formulati on and the energy equation. Numerical results with automatic global accurac y control are produced for the temperature distribution for different value s of Reynolds and Blot numbers, dimensionless inlet frequency, and fluid-to -wall thermal capacitance ratio.