Creator:
Prasad, Kerehalli Vinayaka ; Vajravelu, Kuppalapalle ; Pop, I.
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Subject and Keywords:
boundary layer flow ; porous shrinking sheet ; Keller-Box method ; similarity solutions ; heat transfer
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. ; 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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 18, number 3 (2013)