@misc{Prasad_Kerehalli_Vinayaka_Flow, author={Prasad, Kerehalli Vinayaka and Vajravelu, Kuppalapalle and Pop, I.}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={The boundary layer flow and heat transfer of a viscous fluid over a nonlinear permeable shrinking sheet in a thermally stratified environment is considered. The sheet is assumed to shrink in its own plane with an arbitrary power-law velocity proportional to the distance from the stagnation point. The governing differential equations are first transformed into ordinary differential equations by introducing a new similarity transformation. This is different from the transform commonly used in the literature in that it permits numerical solutions even for asymptotically large values of the power-law index, m.}, abstract={The coupled non-linear boundary value problem is solved numerically by an implicit finite difference scheme known as the Keller- Box method. Numerical computations are performed for a wide variety of power-law parameters (1 < m < 100,000) so as to capture the effects of the thermally stratified environment on the velocity and temperature fields. The numerical solutions are presented through a number of graphs and tables. Numerical results for the skin-friction coefficient and the Nusselt number are tabulated for various values of the pertinent parameters.}, title={Flow and heat transfer at a nonlinearly shrinking porous sheet: the case of asymptotically large power-law shrinking rates}, type={artykuł}, keywords={boundary layer flow, porous shrinking sheet, Keller-Box method, similarity solutions, heat transfer}, }