Numerical simulation and optimization of heat transfer in reciprocating flows in two-dimensional channels

Forced convection h eat transfer in laminar reciprocating flow in a two-dimensional channel based on Womersley number (alpha), Prandtel number (Pr), Pressure gradient amplitude and cross section thickness of the channel. As characteristic length is numerically simulated using spectral element method (SEM). In flow with high alpha, temperature distribution is highly affected by Richardson annular effect. Although increasing alpha enhances heat transfer rate, but it actually reduces oscillations amplitude and flow penetration length, hence it reduces heat transfer rate. These two contradictory effects predict existence of optimum frequency for heat transfer rate in a specific geometry. In our study pressure gradient amplitude has been chosen as a design parameter rather than penetration length. At this study optimum values of frequency and geometrical parameters are investigated.