Volume 4, Issue 2, June 2018, Page: 18-26
Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation
Kamalesh Kumar Pandit, Department of Mathematics, Gauhati University, Guwahati, India
Sinam Iboton Singh, Department of Mathematics, Gauhati University, Guwahati, India
Dipak Sarma, Department of Mathematics, Gauhati University, Guwahati, India
Received: Jul. 28, 2018;       Accepted: Aug. 29, 2018;       Published: Sep. 30, 2018
DOI: 10.11648/j.ijfmts.20180402.11      View  370      Downloads  27
Abstract
The present paper aims at investigating the boundary layer flow of an unsteady MHD free convection heat and mass transfer flow of a viscous, incompressible and electrically conducting fluid over an impulsively started infinite vertical plate in presence of thermal radiation. The magnetic Reynolds number is considered to be so small that the induced magnetic field can be neglected. Exact solution of the governing equations is obtained in closed form by Laplace transform technique. Expression for skin friction, Nusselt number and Sherwood number are derived. The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically whereas the numerical values of skin friction, the Nusselt number and the Sherwood number are presented in tabular form for various values of pertinent flow parameters. It is being found that the mass diffusion tends to reduce the fluid velocity whereas thermal radiation has reverse effect on the fluid velocity throughout the boundary layer region. Mass diffusion tends to reduce the species concentration whereas time has reverse effect on the species concentration throughout the boundary layer region. The radiation parameter and mass diffusion decreases the skin friction whereas Prandtl number has reverse effect on it. The radiation parameter reduces the rate of heat transfer whereas as time progress the rate of heat transfer is getting accelerated.
Keywords
MHD, Thermal Radiation, Heat and Mass Transfer, Impulsively Started Vertical Plate
To cite this article
Kamalesh Kumar Pandit, Sinam Iboton Singh, Dipak Sarma, Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation, International Journal of Fluid Mechanics & Thermal Sciences. Vol. 4, No. 2, 2018, pp. 18-26. doi: 10.11648/j.ijfmts.20180402.11
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[1]
Stokes G. G. (1851). On the effect of internal friction of fluids on the motion of pendulums. Camb. Phil. Trans. IX, 8-106.
[2]
Soundalgekar V. M. (1977). Free convection effects on the Stokes problem for an infinite vertical plate. ASME J. Heat Transfer, 99, 499-501.
[3]
Georgantopoulos G. A., Douskos C. N., Kafousias N. G. and Goudas C. L. (1978). Lett. in Heat and Mass Transfer, 6, 379.
[4]
Raptis A. and Singh A. K. (1983). MHD free convection flow past an accelerated vertical plate. Int. Comm. Heat Mass Transfer, 10, 313.
[5]
Soundalgekar V. M. and Takhar H. S. (1977). On MHD flow and heat transfer over a semi-infinite plate under transverse magnetic field. Nuclear Engineering and Design, 42, 233-236.
[6]
Soundalgekar V. M. and Wavre P. D. (1977). Unsteady free convection flow past an infinite vertical plate with variable suction and mass transfer. Int. J. Heat Mass Transfer, 20, 1375-1380.
[7]
Gupta A. S., Pop I. and Soundalgekar V. M. (1979). Free convection effects on the flow past an accelerated vertical plate in an incompressible dissipative fluid. Rev. Roum. Sci. Techn.-Mec. Apl., 24, 561-568.
[8]
Jha B. K., Prasad R. and Rai S. (1991). Mass transfer effects on the flow past an exponentially accelerated vertical plate with constant heat flux. Astrophysics and Space Science, 181, 125-134.
[9]
Soundalgekar V. M. and Takhar H. S. (1993). Radiation effects on free convection flow past a semi-infinite vertical plate. Modeling, Measurement and Control B, 51, 31-40.
[10]
Das U. N., Deka R. K. and Soundalgekar V. M. (1994). Effects of mass transfer on flow past an impulsively started vertical infinite vertical plate with constant heat flux and chemical reaction. Forschung in Ingenieurwesen, 60, 284-287.
[11]
Takhar H. S., Gorla R. S. and Soundalgekar V. M. (1996). Radiation effects on MHD free convection flow of a radiating gas past a semi-infinite vertical plate. Int. J. Numerical Methods Heat Fluid Flow, 6, 77-83.
[12]
Takhar H. S. and Beg O. A. (1996). Non-Darcy convective boundary layer flow past a semi-infinite vertical plate in saturated porous media. Heat Mass Transfer, 32, 33-44.
[13]
Hossain M. A. and Takhar H. S. (1996). Radiation effect on mixed convection along a vertical plate with uniform surface temperature. Heat and Mass Transfer, 31, 243-248.
[14]
Raptis A. and Perdikis C. (1999). Radiation and free convection flow past a moving plate. Int. J. of App. Mech. and Eng., 4, 817-821.
[15]
Muthucumaraswamy R., Ganesan P. and Soundalgekar V. M. (2000). Theoretical solution of flow past an impulsively started vertical plate with variable temperature and mass diffusion. Forschung im Ingenieurwesen, 66, 147-151.
[16]
Muthucumaraswamy R. and Ganesan P. (2002). Heat transfer effects on flow past an impulsively started semi-infinite vertical plate with uniform heat flux. Nuclear Engineering and Design, 215, 243-250.
[17]
Samad Md. A. and Rahman M. M. (2006). Thermal radiation interaction with unsteady MHD flow past a vertical porous plate immersed in a porous medium. Journal of Naval Architecture and Marine Engineering, 3, 7-14.
[18]
Muthucumaraswamy R. and Janakiraman (2006). MHD and Radiation effects on moving isothermal vertical plate with variable mass diffusion. Theor. Appl. Mech., 33 (1), 17-29.
[19]
Chaudhary and Jain A. (2007). Combined heat and mass transfer effects on MHD free convection flow past an oscillating plate embedded in porous medium. Rom. Journal Phys., 52 (5-7), 505-524.
[20]
Prasad V. R., Reddy N. B. and Muthucumaraswamy R. (2007). Radiation and mass transfer effects on two-dimensional flow past an impulsively started infinite vertical plate. Int. J. Thermal Sci., 46 (12), 1251-1258.
[21]
Muthucumaraswamy R., Sathappan K. E. and Natarajan R. (2008). Mass transfer effects on exponentially accelerated isothermal vertical plate. Int. J. of Appl. Math. and Mech., 4 (6), 19-25.
[22]
Muthucumaraswamy R. and Vijayalakshmi A. (2008). Effects of heat and mass transfer on flow past an oscillating vertical plate with variable temperature. Int. J. of Appl. Math and Mech., 4 (1), 59-65.
[23]
Mohamed R. A., Mahdy A. and Hady F. M. (2008). Combined radiation and free convection from a vertical wavy surface embedded in porous media. Int. J. of Appl. Math and Mech., 4 (1), 49-58.
[24]
Deka R. K. and Neog B. C. (2009). Unsteady MHD flow past a vertical oscillating plate with thermal radiation and variable mass diffusion. Chamchuri Journal of Mathematics, 1 (2), 79-92.
[25]
Muthucumaraswamy R., Raj M. S. and Subramanian V. S. A. (2009). Unsteady flow past an accelerated infinite vertical plate with variable temperature and uniform mass diffusion. Int. J. of Appl. Math and Mech., 5 (6), 51-56.
[26]
Rajesh V. and Verma V. K. S. (2009). Radiation and mass transfer effects on MHD free convection flow past an exponentially accelerated vertical plate with variable temperature. ARPN J. of Engg. and Appl. Sci., 4 (6), 20-26.
[27]
Sangapatnam S., Nandanoor B. R. and Vallampati R. P. (2009). Radiation and mass transfer effects on MHD free convection flow past an impulsively started isothermal vertical plate with dissipation. Thermal Science, 13 (2), 171-181.
[28]
Suneetha S., Bhaskar Reddy N. and Ramachandra Prasad V. (2009). Effects of thermal radiation on the natural convective heat and mass transfer of a viscous incompressible gray absorbing-emitting fluid flowing past an impulsively started moving vertical plate with viscous dissipation. Thermal Science, 13 (2), 71 – 181.
[29]
Suneetha S., Bhaskar Reddy N., Ramachandra Prasad V. (2008). Thermal radiation effects on MHD free convection flow past an impulsively started vertical plate with variable surface temperature and concentration. J. Naval Archit. Marine Eng., 5 (2), 57-70.
[30]
Mahmoud M. A. A. (2009). Thermal radiation effect on unsteady MHD free convection flow past a vertical plate with temperature dependent viscosity. Can J. Chem. Eng., 87, 47-52.
[31]
Seth G. S., Nandkeolyar R. and Ansari Mds. (2013). Effects of thermal radiation and rotation on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with ramped temperature in a porous medium. J. Appl. Fluid Mech., 6, 27-38.
[32]
Rajput U. S. and Kumar S. (2012). Radiation effects on MHD flow past an impulsively started vertical plate with variable heat and mass transfer. Int. J. of Appl. Math. and Mech., 8 (1), 66-85.
[33]
Mukhopadhyay S., Bhattacharyya K., Layek G. C. (2011). Steady boundary layer flow and heat transfer over a porous moving plate in presence of thermal radiation. Int. J. Heat Mass Transfer, 54, 2751-2757.
[34]
Cramer K. R. and Pai S. I. (1973). Magneto fluid dynamics for engineers and applied physicists McGraw Hill Book Company, New York.
Browse journals by subject