Viscous Flows

By: Ahmer Mehmood

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Synopsis: Exact solution of Navier-Stokes equations is possible only for very simple flow situations such as unidirectional flows. Due to the nonlinear nature of these equations their analytic solutions are rare and the situation gets worse in the case of unsteady and multidimensional flow problems. In this book we report highly accurate and purely analytic solutions to some steady/unsteady multidimensional viscous flows over flat surface. Heat transfer analysis has also been carried out where the flat surface is considered as a stretching sheet. In each case the skin friction and the rate of heat transfer has been reported. The issue of cooling of stretching sheet in the presence of viscous dissipation has been discussed in detail. We have used homotopy analysis method to solve the governing nonlinear differential equations. The results are purely analytic and highly accurate. The accuracy of results has been proved by calculating the residual errors and (or) giving the comparison with the existing results. for unsteady flows it is worthy to mention here that our analytic solutions are uniformly valid for all time in the whole spatial domain.