Analytical Solution of Laminar Forced Convection in a Heated Channel Subjected to Reciprocating Flow

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  A. M. A. Regeb   |      A. K. M Alshara   |   

Hydrodynamics and heat transfer in a fully developed laminar incompressible reciprocating channel flow subjected to a constant heat flux has been investigated analytically using similarity transformation. An exact analytical solution for the velocity, local, and bulk temperature as well as of Nusselt number has been obtained. The effect of the parameters Pr, Ao, y, and X/Dh on u, T, Tb, Nux, and Nux are presented. The results showed that the local Nusselt number is increased with increasing Womersly number (y) while the dimensionless temperature is increased with Womersly and decreased with amplitude (Ao). Prandtl number has a significant effect on local Nusselt number. The results were found in very good agreement with that obtained numerically using the finite volume method. The comparison with the experimental results of other authors gave a reasonable identification.