Skip to content
BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access September 2, 2014

Effect of MHD and Injection through one side of a long vertical channel embedded in porous medium with transpiration cooling

  • K. Govardhan EMAIL logo , K. Kaladhar , G. Nagaraju and B. Balaswamy
From the journal Open Engineering

Abstract

This paper examines the effect of MHD, and injection through one side of a long vertical channel embedded in porous medium with transpiration cooling. The governing nonlinear partial differential equations have been transformed by similarity transformation into a set of ordinary differential equations, which are solved numerically by Adam-moultan Predictor-Corrector method with Newton-Raphson Method for missing initial conditions. Proflles of dimensionless velocity, temperature and concentration are shown graphically for different parameters entering into the analysis. Also the effects of the pertinent parameters on the heat transfer rates are tabulated. An analysis of the results obtained shows that the flow field is influenced appreciably by emerging parameters of the present study.

[1] Pop I. and Ingham D. B., Convective Heat Transfer: Computational and Mathematical Modelling of Viscous Fluids and Porous Media, Pergamon, Oxford, 2001 Search in Google Scholar

[2] Vafai K., Handbook of Porous Media, Vol. II, Marcel Dekker, New York, 2002 Search in Google Scholar

[3] Bejan A. and Kraus A. D., Heat Transfer Handbook, Wiley, New York, 2003 Search in Google Scholar

[4] Nield D. A. and Bejan A., Convection in Porous Media, 4nd edn, Springer, New York, 2013 http://dx.doi.org/10.1007/978-1-4614-5541-710.1007/978-1-4614-5541-7Search in Google Scholar

[5] Moreau R., Magneto hydrodynamics, Kluwer Academic publisher. Dordrecht, 1990 Search in Google Scholar

[6] Shohel M. and Fraser R. A., Mixed convectionradiation interaction in a vertical porous channel: Entropy generation, Energy, 28(15), 2003, 1557–1577 http://dx.doi.org/10.1016/S0360-5442(03)00154-310.1016/S0360-5442(03)00154-3Search in Google Scholar

[7] Zaheer A. and Hayat T., Radiation effects on MHD flow in a porous space, Int. J. Heat and Mass Transfer., 51(5–6), 2008, 1024–1033 10.1016/j.ijheatmasstransfer.2007.05.031Search in Google Scholar

[8] Pal D., Magnetohydrodynamic non-Darcy mixed convection heat transfer from a vertical heated plate embedded in a porous medium with variable porosity, Commun. Nonlinear Sci. Numer. Simul., 15(12), 2010, 3974–3987 http://dx.doi.org/10.1016/j.cnsns.2010.02.00310.1016/j.cnsns.2010.02.003Search in Google Scholar

[9] Rashidi M. M. and Erfani E., A new analytical study of MHD stagnation-point flow in porous media with heat transfer, Computers & Fluids, 40(1), 2011, 172–178 http://dx.doi.org/10.1016/j.compfluid.2010.08.02110.1016/j.compfluid.2010.08.021Search in Google Scholar

[10] Rashidi M. M. and Hayat T. and Erfani E. and Mohimanian Pour S. A. and Awatif Hendi A., Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk, Communications in Nonlinear Science and Numerical Simulation, 16(11), 2011, 4303–4317 http://dx.doi.org/10.1016/j.cnsns.2011.03.01510.1016/j.cnsns.2011.03.015Search in Google Scholar

[11] Turkyilmazoglu M. and Senel P., Heat and mass transfer of the flow due to a rotating rough and porous disk, Int. J. of Thermal Sciences, 63, 2013, 146–156 http://dx.doi.org/10.1016/j.ijthermalsci.2012.07.01310.1016/j.ijthermalsci.2012.07.013Search in Google Scholar

[12] Srinivasacharya D. and Upendar M., Soret and dufour effects on MHD mixed convection heat and mass transfer in a micropolar fluid, Cent. Eur. J. Eng., 3(4), 2013, 679–689 http://dx.doi.org/10.2478/s13531-013-0131-810.2478/s13531-013-0131-8Search in Google Scholar

[13] Wang C. Y. and Skalak F. J., Fluid injection through one side a long vertical channel, AICHE Journal, 20(3), 1974, 603–605 http://dx.doi.org/10.1002/aic.69020032610.1002/aic.690200326Search in Google Scholar

[14] Huang C. L., Application of quasilinearization technique to the vertical channel flow and heat convection, Int. J. Non-Linear Mech., 13, 1978, 55–60 http://dx.doi.org/10.1016/0020-7462(78)90015-X10.1016/0020-7462(78)90015-XSearch in Google Scholar

[15] Banis S. and Turkey I., Injection of a non-Newtonian fluid through one side of a long vertical channel, Acta Mechanica., 151, 2001, 163–170 http://dx.doi.org/10.1007/BF0124691510.1007/BF01246915Search in Google Scholar

[16] Guria M., Ghosh S. K. and Pop I., Three Dimensional Free convection flow in a vertical channel filled with a porous medium, Journal of Porous Media, 12, 2009, 985–995 http://dx.doi.org/10.1615/JPorMedia.v12.i10.5010.1615/JPorMedia.v12.i10.50Search in Google Scholar

[17] Attia H. A., Steady flow over a Rotating disk in Porous medium with heat transfer, Nonlinear Analysis: Modeling and Control, 14(1), 2009, 21–26 10.15388/NA.2009.14.1.14527Search in Google Scholar

[18] Das S. S., Sataparthy A., Das J. K. and Panda I. P., Mixed Convection heat and Mass transfer in three dimensional flow of a Viscous incompressible fluid past a vertical porous medium with periodic permeability, Int J of Applied Engineering Research, 3(8), 2008, 1105–1120 Search in Google Scholar

[19] Rashidi M. M., Mohimanian Pour S. A., Hayat T. and Obaidat S., Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method, Computers & Fluids, 54, 2012, 1–9 http://dx.doi.org/10.1016/j.compfluid.2011.08.00110.1016/j.compfluid.2011.08.001Search in Google Scholar

[20] Rashidi M. M., Hayat T., Keimanesh T. and Yousefian H., A study on heat transfer in a second-grade fluid through a porous medium with the modified differential transform method, Heat Transfer-Asian Research, 42(1), 2013, 31–45 http://dx.doi.org/10.1002/htj.2103010.1002/htj.21030Search in Google Scholar

[21] Rama G. Subbareddy and Ibrahim S., Free convection on vertical stretching surface with suction and blowing, Applied Science Research, 52(3), 1994, 247–257 http://dx.doi.org/10.1007/BF0085395210.1007/BF00853952Search in Google Scholar

Published Online: 2014-9-2
Published in Print: 2014-12-1

© 2014 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Downloaded on 27.4.2024 from https://www.degruyter.com/document/doi/10.2478/s13531-013-0174-x/html
Scroll to top button