This work present s a theoret ical study of periodic laminar forced convection for the simultaneously developing ow between parallel plates channel. A generic boundary condition of the fth kind that account s for bot h external convection and wall thermal capacit ance effect s is imposed. The ow is subjected to a periodic variat ion of the inlet temperat ure. The results are obtained through the generalized integral transform technique ( GITT) . This hybrid numerical-analyt ical approach is applied to the steady two-dimensional incompressible Navier-Stokes equat ions in stream-function-only formulation and the energy equat ion. Numerical results with automatic global accuracy control are produced for the temperat ure distribution for different values of Reynolds and Biot numbers, dimensionless inlet frequency, and uid-to-wall thermal capacit ance ratio.
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