This paper describes an analytically and numerically study of heat transfer mechanism in laminar pulsatile flow at low Reynolds number inside annular space and a heated cylinder. The equations are solved by a Crank-Nicholson finite difference method. Computations are carried out for a kinetic Reynolds number range of 0 ≤ Re_ω ≤ 1000, while the pulsation amplitude is fixed at a value A_w = 0.75 and the Prandtl number (Pr=0.7). We are interested more particularly in the evolution of the temperature and Nusselt number. The results show that indicate clearly how pulsation affects the rate of heat transfer and how the phenomenon depends on the kinetic Reynolds number Re_ω. The effects of a kinetic Reynolds numbers on heat transfer are investigated. The results showed that the temperature gradient is significant at the inlet of annular space. The relative mean Nusselt Number (Nu_(ps))_m is varied with frequency about two modes. For the low frequencies the heat transfer is significant along a heated wall, but for the high frequencies the heat transfer does not change practically with the pulsations. Theses results are in good agreement with those obtained experimentally and numerically by other researchers.
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