In the present investigation, a numerical study of the flow and heat transfer analysis of viscoelastic\r\nsecond grade fluid due to heated, continuous stretching of a vertical sheet has been carried out. The\r\nstretching velocity is assumed to vary linearly with the distance measured from the leading edge. The\r\nsurface heat flux is assumed to be varied in power of distance measured from the leading edge. The\r\ngoverning differential equations are transformed by introducing proper non-similarity variables and\r\nsolved numerically using two different methods, namely, the local non-similarity method with second\r\nlevel of truncation and the implicit finite difference method for values of ? (=Grx/Rex\r\n2) ranging from 0 to\r\n10. The comparisons of the results obtained by the aforementioned methods are found in excellent\r\nagreement. Effects of the viscoelastic parameter, ? (Deborah number) on the skin-friction and the heat\r\ntransfer coefficients have been shown graphically for the fluid with Prandtl number equal to 0.7, 7.03\r\nand 15.0.
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