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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2012 Volume 53, Issue 6, Pages 78–87 (Mi pmtf1423)

This article is cited in 3 papers

Soret and dufour effects on MHD free convective heat and mass transfer with thermophoresis and chemical reaction over a porous stretching surface: Group theory transformation

N. Siva Ramana, K. K. Sivagnana Prabhua, R. Kandasamyb

a Department of Chemical Engineering, Anna University, Chennai, India
b Research Center for Computational Fluid Dynamics, FSTPi, University Tun Hussein Onn Malaysia, Johor, Malaysia

Abstract: The group theoretic method is applied for solving the problem of the combined influence of the thermal diffusion and diffusion thermoeffect on magnetohydrodynamic free convective heat and mass transfer over a porous stretching surface in the presence of thermophoresis particle deposition with variable stream conditions. The application of one-parameter groups reduces the number of independent variables by one; consequently, the system of governing partial differential equations with boundary conditions reduces to a system of ordinary differential equations with appropriate boundary conditions. The equations along with the boundary conditions are solved numerically by using the Runge–Kutta–Gill integration scheme with the shooting technique. The impact of the Soret and Dufour effects in the presence of thermophoresis particle deposition with a chemical reaction plays an important role on the flow field.

Keywords: group theory transformation, magnetohydrodynamic, Soret and Dufour effects, chemical reaction, thermophoresis particle deposition.

UDC: 536.24; 539.217.1, 512.745

Received: 18.02.2011
Revised: 02.07.2011


 English version:
Journal of Applied Mechanics and Technical Physics, 2012, 53:6, 871–879

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