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

• Autorzy: Prasad K. V. , Vajravelu K. , Pop I.

Identyfikatory

DOI

10.2478/ijame-2013-0047

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

boundary layer flow; porous shrinking sheet; Keller-box method; similarity solutions; heat transfer

PL

warstwa graniczna przepływu; metoda Keller-Box; przenikanie ciepła

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2013
• Tom: Vol. 18, no. 3
• Strony: 779--791
• Opis fizyczny: Bibliogr. 39 poz., tab., wykr.

Twórcy

autor

Prasad K. V.

• Department of Mathematics, Bangalore University Bangalore 560001, India

autor

Vajravelu K.

• Department of Mathematics University of Central Florida Orlando, Florida 32816, USA

autor

Pop I.

• Faculty of Mathematics, University of Cluj R-3400 Cluj, CP 253, Romania

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