TY - GEN
A1 - Prasad, Kerehalli Vinayaka
A1 - Vajravelu, Kuppalapalle
A1 - Pop, I.
A2 - Jurczak, Paweł - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
N2 - 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.
L1 - http://zbc.uz.zgora.pl/Content/74438/10.2478_ijame-2013-0047.pdf
L2 - http://zbc.uz.zgora.pl/Content/74438
KW - boundary layer flow
KW - porous shrinking sheet
KW - Keller-Box method
KW - similarity solutions
KW - heat transfer
T1 - Flow and heat transfer at a nonlinearly shrinking porous sheet: the case of asymptotically large power-law shrinking rates
UR - http://zbc.uz.zgora.pl/dlibra/docmetadata?id=74438
ER -