A numerical study is reported to investigate the transient free-convective flow through a vertical porous annulus. A closed-form solution is also presented for temperature, velocity, skin friction, and rate of heat transfer for the steady fully developed flow. During the course of numerical computation, an excellent agreement was found between steady state solutions with transient solutions at large values of time. It is also seen that steady state temperature and velocity are independent of Prandtl number in the absence of suction/injection, while dependent on Prandtl number in the presence of suction/injection.
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Jha et al. (2011) studied this question.
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