Radiation and Dufour Effects on Unsteady MHD Mixed Convective Flow in an Accelerated Vertical Wavy Plate with Varying Temperature and Mass Diffusion

Authors

  • Jagdish PRAKASH Department of Mathematics, University of Botswana, Gaborone
  • Bangalore Rushi KUMAR Fluid Dynamics Division, School of Advanced Sciences, VIT University, Vellore
  • Ramachandran SIVARAJ Fluid Dynamics Division, School of Advanced Sciences, VIT University, Vellore

Keywords:

Radiation, Dufour effect, wavy plate, varying temperature, varying mass diffusion

Abstract

This paper studies flow, heat, and mass transfer characteristics of unsteady mixed convective magnetohydrodynamic (MHD) flow of a heat absorbing fluid in an accelerated vertical wavy plate, subject to varying temperature and mass diffusion, with the influence of buoyancy, thermal radiation and Dufour effect. The momentum, energy and mass diffusion equations are coupled non-linear partial differential equations, which are solved by perturbation technique. The features of the fluid flow, heat and mass transfer characteristics are analyzed by plotting graphs, and the physical aspects are discussed in detail to interpret the effects of significant parameters of the problem.

doi:10.14456/WJST.2014.69

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Author Biography

Jagdish PRAKASH, Department of Mathematics, University of Botswana, Gaborone

Associate Professor

References

A Barletta, S Lazzari, E Magyari and I Pop. Mixed convection with heating effects in a vertical porous annulus with a radially varying magnetic field. Int. J. Heat Mass Tran. 2008; 51, 5777-84.

A Afify. Similarity solution in MHD effects of thermal diffusion and diffusion thermo on free convective heat and mass transfer over a stretching surface considering suction or injection. Comm. Nonlinear Sci. Numer. Simulat. 2009; 14, 2202-14.

S Srinivas and R Muthuraj. Effects of thermal radiation and space porosity on MHD mixed convection flow in a vertical channel using homotopy analysis method. Comm. Nonlinear Sci. Numer. Simulat. 2010; 15, 2098-108.

R Sivaraj and BR Kumar. Viscoelastic fluid flow over a moving vertical cone and flat plate with variable electric conductivity. Int. J. Heat Mass Tran. 2013; 61, 119-28.

KA Yih. The effect of transpiration on coupled heat and mass transfer in mixed convection over a vertical plate embedded in a saturated porous medium. Int. Comm. Heat Mass Tran. 1997; 24, 265-75.

A Barletle. Combined forced and free convection with viscous dissipation in a vertical duct. Int. J. Heat Mass Tran. 1999; 42, 2243-53.

SS Motsa. The effects of thermal radiation, hall currents, Soret, and Dufour on MHD flow by mixed convection over a vertical surface in porous media. SAMSA J. Pure Appl. Math. 2008; 3, 58-65.

YC Ching, HF Oztop, MM Rahman, MR Islam and A Ahsan. Finite element simulation of mixed convection heat and mass transfer in a right triangular enclosure. Int. Comm. Heat Mass Tran. 2012; 39, 689-96.

PVSN Murthy, S Mukherjee, D Srinivasacharya and PVSSSR Krishna. Combined radiation and mixed convection from a vertical wall with suction/injection in a non-Darcy porous medium. Acta Mechanica 2004; 168, 145-56.

T Grosan and I Pop. Thermal radiation effect on fully developed mixed convection flow in a vertical channel. Tech. Mech. 2007; 1, 37-47.

B Khaefinejad and C Aghanajafi. Laminar flow with simultaneously effects of mixed convection and thermal radiation in a channel. J. Fusion Energ. 2009; 28, 83-90.

J Prakash, R Sivaraj and BR Kumar. Influence of chemical reaction on unsteady MHD mixed convective flow over a moving vertical porous plate. Int. J. Fluid Mech. 2011; 3, 1-14.

R Sivaraj and BR Kumar. Chemically reacting dusty viscoelastic fluid flow in an irregular channel with convective boundary. Ain Shams Eng. J. 2013; 4, 93-101.

R Kandasamy, K Periasamy and KKS Prabhu. Effects of chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection. Int. J. Heat Mass Tran. 2005; 48, 1388-94.

MA Mansour, NF El-Anssary and AM Aly. Effects of chemical reaction and thermal stratification on MHD free convective heat and mass transfer over a vertical stretching surface embedded in a porous media considering Soret and Dufour numbers. Chem. Eng. J. 2008; 145, 340-5.

R Sivaraj and BR Kumar. Unsteady MHD dusty viscoelastic fluid Couette flow in an irregular channel with varying mass diffusion. Int. J. Heat Mass Tran. 2012; 55, 3076-89.

BR Kumar and R Sivaraj. Heat and mass transfer in MHD viscoelastic fluid flow over a vertical cone and flat plate with variable viscosity. Int. J. Heat Mass Tran. 2013; 56, 370-9.

M Anghel, HS Takhar and I Pop. Dufour and Soret effects on free-convection boundary layer over a vertical surface embedded in a porous medium. Studia. Univ. Babes-Bolyai Math. 2000; 45, 11-21.

A Postelnicu. Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. Heat Mass Tran. 2007; 43, 595-602.

D Pal and H Mondal. Soret and Dufour effects on MHD non-Darcian mixed convection heat and mass transfer over a stretching sheet with non-uniform heat source/sink. Phys. B 2012; 407, 642-51.

BR Kumar and R Sivaraj. MHD viscoelastic fluid non-Darcy flow over a vertical cone and a flat plate. Int. Comm. Heat Mass Tran. 2013; 40, 1-6.

JH Jang, WM Yan and HC Liu. Natural convection heat and mass transfer along a vertical wavy surface. Int. J. Heat Mass Tran. 2003; 46, 1075-83.

JH Jang and WM Yan. Mixed convection heat and mass transfer along a vertical wavy surface. Int. J. Heat Mass Tran. 2004; 47, 419-28.

A Mahdy, RA Mohamed and FM Hady. Heat and mass transfer in MHD free convection along a vertical wavy plate with variable surface heat and mass flux. Lat. Am. Appl. Res. 2009; 39, 337-44.

AC Cogley, WG Vincent and SE Giles. Differential approximation to radiative heat transfer in a non-grey gas near equilibrium. Am. Inst. Aeronaut. Astronaut. 1968; 6, 551-3.

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Published

2014-01-20

How to Cite

PRAKASH, J., KUMAR, B. R., & SIVARAJ, R. (2014). Radiation and Dufour Effects on Unsteady MHD Mixed Convective Flow in an Accelerated Vertical Wavy Plate with Varying Temperature and Mass Diffusion. Walailak Journal of Science and Technology (WJST), 11(11), 939–954. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/688