Object structure

Creator:

Prasad, Kerehalli Vinayaka ; Vajravelu, Kuppalapalle ; Pop, I.

Contributor:

Jurczak, Paweł - red.

Title:

Flow and heat transfer at a nonlinearly shrinking porous sheet: the case of asymptotically large power-law shrinking rates

Group publication title:

IJAME, volume 18 (2013)

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

Date:

2013

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.2478/ijame-2013-0047

Pages:

779-791

Source:

IJAME, volume 18, number 3 (2013)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

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Rights:

Biblioteka Uniwersytetu Zielonogórskiego