Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-25T16:08:00.689Z Has data issue: false hasContentIssue false
  • English
  • Français

Flow Features of a Conducting Fluid Near an Accelerated Vertical Plate in Porous Medium with Ramped Wall Temperature

Published online by Cambridge University Press:  13 March 2014

P. K. Kundu ,
K. Das  and
N. Acharya
P. K. Kundu
Affiliation:
Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India
K. Das*
Affiliation:
Department of Mathematics, Kalyani Government Engineering College, Kalyani, W.B., Pin-741235, India
N. Acharya
Affiliation:
Department of Mathematics, Narula Institute of Technology, Kolkata-700109
*
[email protected]
Get access

Abstract

The unsteady MHD free convection and mass transfer boundary layer flow of an incompressible electrically conducting fluid past an accelerated infinite vertical flat plate embedded in porous medium with ramped wall temperature is considered here. It is assumed that the plate accelerates in its own plane in the presence of thermal radiation incorporating first order chemical reaction. The governing equations are solved analytically using the Laplace transformation technique. The flow phenomenon has been characterized with the help of flow parameters such as permeability parameter, Hartmann number, phenomenon has been characterized with the help of flow parameters such as permeability parameter, Hartmann number, thermal radiation parameter etc. The influences of these parameters on the velocity, temperature field and concentration distribution have been studied and the results are presented graphically and discussed quantitatively. Also, the effects of the various parameters on the skin friction coefficient, the rate of heat and mass transfer at the surface are discussed.

Keywords

Free convectionMHD flowPorous mediumThermal radiationChemical reactionLaplace transforms
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 3 , June 2014 , pp. 277 - 288
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Das, K. and Sanyal, D. C., “Hydromagnetic Unsteady Free Convection Flow Past a Hot Vertical Plate,” The Mathematics Education, 30, pp. 227–236 (1966).Google Scholar
2.Soundalgekar, V. M., Das, U. N. and Deka, R. K., “Free Convection Effects on MHD Flow Past an Infinite Vertical Oscillating Plate with Constant Heat Flux,” Indian Journal of Mathematics, 39, pp. 195–202 (1997).Google Scholar
3.Sahoo, P. K., Dutta, N. and Biswal, S., “Magneto-hydrodynamic Unsteady Free Convection Flow Past an Infinite Vertical Plate with Constant Suction and Heat Sink,” Indian Journal for Pure and Applied Mathematics, 34, pp. 145–155 (2003).Google Scholar
4.Das, K., “Hydromagnetic Unsteady Free Convection Flow Past an Impulsively Started Vertical Plate,” Journal of Mechanics Continuum and Mathematica Sciences, 1, pp. 27–31 (2006).Google Scholar
5.Greif, R., Habib, I. S. and Lin, J. C., “Laminar Convection of a Radiating Gas in a Vertical Channel,” Journal of Fluid Dynamics, 46, pp. 513–520 (1971).Google Scholar
6.Gupta, P. S. and Gupta, A. S., “Radiation Effect on Hydrodynamic Convection in a Vertical Channel,” International Journal Heat and Mass Transfer, 17, pp. 1437–1442 (1974).CrossRefGoogle Scholar
7.Soundalgekar, V. M. and Takhar, H. S., “Radiative Convective Flow Past a Semi Infinite Vertical Plate,” Modeling Measure Control, 51, pp. 31–40 (1992).Google Scholar
8.Cogly, A. C., Vincentine, W. C. and Gilles, S. E., “Differential Approximation for Radiative Transfer in an Non-Grey Gas Near Equilibrium,” AIAA Journal, 6, pp. 551–555 (1968).CrossRefGoogle Scholar
9.Takhar, H. S., Gorla, R. S. R. and Soundalgekar, V. M., “Radiation Effects on MHD Free Convection Flow of a Radiating Gas Past a Semi Infinite Vertical Plate,” International Journal of Numerical Methods for Heat and Fluid Flow, 6, pp. 77–88 (1996).CrossRefGoogle Scholar
10.Hossain, M. A. and Takhar, H. S., “Radiative Effect on Mixed Convection Along a Vertical Plate with Uniform Surface Temperature,” International Journal Heat and Mass Transfer, 31, pp. 243–248 (1996).CrossRefGoogle Scholar
11.Hossain, M. A., Alim, M. A. and Rees, D. A. S., “Effects of Radiation on Free Convection from a Porous Vertical Plate,” International Journal Heat and Mass Transfer, 42, pp. 181–191 (1999).CrossRefGoogle Scholar
12.Ghaly, A. Y. and Elbarbary, E. M. E., “Radiation Effect of MHD Free Convection Flow of a Gas at a Stretching Surface with a Uniform Free Stream,” Journal of Applied Mathematics, 2, pp. 93–103 (2002).CrossRefGoogle Scholar
13.Muthcuumaraswamy, R. and Senthil, K. G., “Heat and Mass Transfer Effects on Moving Vertical Plate in the Presence of Thermal Radiation,” Theoretical Applied Mathematics, 31, pp. 35–46 (2004).Google Scholar
14.Majumder, M. K. and Deka, R. K., “MHD Flow Past an Impulsively Started Infinite Vertical Plate in Presence of Thermal Radiation,” Romanian Journal of Physics, 52, pp. 565–573 (2007)Google Scholar
15.Seth, G. S., Ansari, Md. S. and Nandkeolyar, R., “MHD Natural Convection Flow with Radiative Heat Transfer Past an Impulsively Moving Plate with Ramped Wall Temperature,” Heat and Mass Transfer, 47, pp. 551–561 (2011).CrossRefGoogle Scholar
16.Singh, A. K., “Finite Difference Analysis of MHD Free Convective Flow Past an Accelerated Vertical Porous Plate,” Astrophysics and Space Science, 94, pp. 395–400 (1983).CrossRefGoogle Scholar
17.Dash, G. C. and Das, S. S., “Hall Effects on MHD Flow Along an Accelerated Porous Flat Plate with Mass Transfer and Internal Heat Generation,” Mathematics Engineering Industrial, 7, pp. 389–404 (1999).Google Scholar
18.Panda, J. P., Dash, G. C. and Das, S. S., “Unsteady Free Convective Flow and Mass Transfer of a Rotating Elastico-Viscous Liquid Through Porous Media Past a Vertical Porous Plate,” AMSE Journal of Modelling Measurement Control B, 72, pp. 47–59 (2003).Google Scholar
19.Toki, C. J., “Free Convection and Mass Transfer Flow Near a Moving Vertical Porous Plate: An Analytical Soluton,” Journal of Applied Machine, ASME, 75, pp. 0110141–0110148 (2008).Google Scholar
20.Das, K. and Jana, S., “Heat and Mass Transfer Effects on the Unsteady MHD Free Convection Flow Near a Moving Vertical Plate In Porous Medium,” Bulletin of Society of Mathematicians Banja Luka, 17, pp. 15–32 (2010).Google Scholar
21.Das, K., “Exect Solution of MHD Free Convection Flow and Mass Transfer Near a Moving Vertical Plate in Presence of Thermal Radiation,” African Journal of Mathematical Physics, 8, pp. 29–41 (2010).Google Scholar
22.Apelblat, A., “Mass Transfer with a Chemical Reaction of the First Order. Effects of Axial Diffusion,” Chemical Engineering Journal, 23, pp. 193–199 (1982).CrossRefGoogle Scholar
23.Jensen, K. F., Einset, E. Q. and Fotiadis, D. I., “Flow Phenomenain Chemical Vapor Deposition of Thin Films,” Annual Review of Fluid Mechanics, 23, pp. 197–232 (1991).CrossRefGoogle Scholar
24.Cheng, W. T. and Lin, H. T., “Non Similarity Solution and Correlation of Transient Heat Transfer in Laminar Boundary Layer Flow over a Wedge,” International Journal of Engineering Science, 40, pp. 531–538 (2002).CrossRefGoogle Scholar
25.Bor, K. L., “Heat Transfer Analysis for the Falkner Skan Wedge Flow by the Differential Transformation Method,” International Journal Heat and Mass Transfer, 48, pp. 5036–5045 (2005).Google Scholar
26.Muhaimin, , Kandasamy, R. and Hashim, I., “Effect of Chemical Reaction, Heat and Mass Transfer on Nonlinear Boundary Layer Past a Porous Shrinking Sheet in the Presence Of Suction,” Nuclear Engineering and Design, 240, pp. 933–939 (2010).CrossRefGoogle Scholar
27.Makinde, O. D. and Olanrewaju, P. O., “Unsteady Mixed Convection with Soret and Dufour Effects Past a Porous Plate Moving Through a Binary Mixture of Chemically Reacting Fluid,” Chemical Engineering Communications, 198, pp. 920–938 (2011).CrossRefGoogle Scholar
28.Das, K. and Das, R., “Effects of Radiation and Transpiration on MHD Free Convection and Mass Transfer Flow Through a Porous Medium of a Chemically Reacting Fluid,” Journal of Indian Acadbmie Mathematics, 32, pp. 405–419 (2010).Google Scholar
29.Das, K., “Magnetohydrodynamics Free Convection Flow of a Radiating and Chemically Reacting Fluid Past an Impulsively Moving Plate with Ramped Wall Temperature,” Journal of Applied Mechanics, ASME, 79, pp. 0610171-1–0610171-11 (2012).CrossRefGoogle Scholar
30.Chandran, P., Sacheti, N. C. and Singh, A. K., “Natural Convection Near a Vertical Plate with Ramped Wall Temperature,” Heat and Mass Transfer, 41, pp. 59–464 (2005).CrossRefGoogle Scholar
31.Azzam, G. E. A., “Radiation Effects on the MHD Mixed Free Forced Convective Flow Past a Semi-Infinite Moving Vertical Plate for High Temperature Differences,” Physica Scripta, 66, pp. 71–76 (2002).CrossRefGoogle Scholar
32.Gebhart, B., Jaluria, Y., Mahajan, R. L. and Sammakia, B., Buoyancy Induced Flows and Transport, Hemisphere Pub. Corp., New York. Chaps.3, 6, 7, 8, 10, 12 (1988).Google Scholar