IJPAM: Volume 113, No. 5 (2017)




H. Kumar
Department of Information Technology
Ibri College of Technology
Ibri, OMAN


IAnalytical solution of steady laminar flow of viscous electrically conducting incompressible fluid, over a semi-infinite inclined plate, which is at prescribed mass flux, in a porous medium with heat generation and chemical reaction is presented in the manuscript. The effects of various parameters like Schmidt number, chemical reaction, thermal Grashof number, solutal Grashof number, angle of inclination on the velocity, temperature and concentration are graphically presented are shown. The results obtained, show that these parameters are substantially influence.


Received: May 29, 2016
Revised: December 29, 2016
Published: April 1, 2017
Revised: April 24, 2017: Wrong issue number. The original file is available here.

AMS Classification, Key Words

AMS Subject Classification: 76D10, 76R50, 80A20
Key Words and Phrases: heat transfer, mass transfer, heat generation, concentration, inclined wall, chemical reaction

Download Section

Download paper from here.
You will need Adobe Acrobat reader. For more information and free download of the reader, see the Adobe Acrobat website.


P. Ganesan, G. Palani, Natural convection effects on impulsively started inclined plate with heat and mass transfer, Heat and Mass Transfer, 39 (2003) 277-283.P. Ganesan, G. Palani, Finite difference analysis of unsteady natural convection MHD flow past an inclined plate with variable surface heat and mass flux, Int. J. Heat Mass Transfer, 47 (2004) 4449-4457.E.M. Sparrow, R.B. Husar, Longitudinal vortices in natural convection flow on inclined plates, J. Fluid. Mech., 37 (1969) 251-255.S.A.M. Said, M.A. Habib, H.M. Badr, S. Anwar, Turbulent natural convection between inclined isothermal plates, Computers & Fluid, 34 (2005) 1025-1039.C.H. Chen, Heat and mass transfer in MHD flow with variable wall temperature and concentration, Acta Mechanica, 172 (2004) 219-235.M.A. Hossain, I. Pop, M. Ahmad, MHD free convection flow from an isothermal plate, J. Theo. and Appl. Mech., 1 (1996) 194-207.M. Anghel, M.A. Hossain, S. Zeb, Combined heat and mass transfer by free convection past an inclined flat plate, Int. J. Appl. Mech. and Engg., 2 (2001) 473-497.M. Bhuvaneswari, S. Sivasankaran, Y.J. Kim, Exact analysis of radiation convective flow heat and mass transfer over an inclined plate in a porous medium, World Applied Journal, 10 (2010) 774-778.S. Sivasankaran, M. Bhuvaneswari, P. Kandaswamy, E.K. Ramasami, Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined Surface, Nonlinear Analysis: Modelling and Control, 11 (2006) 201-212.G.C. Shit, R. Haldar, Thermal radiation and hall effect on MHD flow, heat and mass transfer over an inclined permeable stretching sheet, Thermal Science, 15(Suppl.2) (2011) S195-S204.R. Kandasamy, I. Muhaimin, A.B. Khamis, Thermophoresis and variable viscosity effects on MHD mixed convective heat and mass transfer past a porous wedge in the presence of chemical reaction, Heat Mass Transfer, 45 (2009) 703-712.R. Kandasamy, S.P.A. Devi, Effects of chemical reaction, heat and mass transfer on non-linear laminar boundary-layer flow over a wedge with suction or injection, Journal of Computational and Applied Mechanics, 5 (2004) 21-31.K. Vajravelu, A. Hadjinicolaou, Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation, Int. Comm. Heat Mass Transfer, 20 (1993) 417-430.H. Kumar, Heat transfer over a stretching porous sheet subjected to power law heat flux in presence of heat source, Thermal Science, 15(Suppl.2) (2011) S187-S194.H. Askarizadeh, H. Ahmadikia, Analytical Analysis of the Dual-phase-lag Heat Transfer Equation in a Finite Slab with Periodic Surface Heat Flux, IJE Transactions-C, 27 (6) (2014) 971-978.B.M. Ziapour, F. Rahimi, Numerical Study of Natural Convection Heat Transfer in a Horizontal Wavy Absorber Solar Collector Based on the Second Law Analysis, IJE Transactions-A, 29 (1)(2016) 109-117.M.S. Alam, M.A.H. Khan, Analysis of Magneto-hydrodynamics Jeffery-Hamel Flow with Nanoparticles by Hermite-Padé Approximation, IJE Transactions-A, 28 (1) (2015) 599-607.H.M. Ramadan, A.J. Chamkha, Two-phase free convection flow over an infinite permeable inclined plate with non-uniform particle-phase density, International Journal of Engineering Science, 37 (1999) 1351-1367.H. Kumar, Mixed convective-magnetohydrodynamic flow of a micropolar fluid with ohmic heating, radiation and viscous dissipation over a chemically reacting porous plate subjected to a constant heat flux and concentration gradient, J. Serb. Chem. Soc., 79 (4) (2014) 469-480.H. Kumar, Heat transfer in MHD boundary layer flow through a porous medium, due to a non-isothermal stretching sheet, with suction, radiation, and heat annihilation, Chem. Eng. Comm., 200 (7) (2013) 895-906.

How to Cite?

DOI: 10.12732/ijpam.v113i5.1 How to cite this paper?

International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 5
Pages: 523 - 539

Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).