In this paper, we develop numerical methods for the natural convection flow
from a vertical Bat plate with a surface temperature oscillation. In the s
teady case, numerical results for the Grashof numbers 0-625 an obtained usi
ng an iterative approach and the results for small Grashof numbers are vali
dated using a perturbation method. For larger values of the Grashof numbers
, an unsteady numerical scheme is constructed and the results obtained at l
arge times are compared with the steady solutions. Further, the results for
very large Glashof numbers, up to 10 000, show that the unsteady solution
approaches a steady solution. All the results obtained show that the propos
ed methods are very efficient and accurate. (C) 2001 Elsevier Science Ltd.
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