Journal of Applied Science and Engineering

Published by Tamkang University Press

1.30

Impact Factor

2.10

CiteScore

D. Srinivasacharya This email address is being protected from spambots. You need JavaScript enabled to view it.1, B. Mallikarjuna2 and R. Bhuvanavijaya2

1Department of Mathematics, National Institute of Technology, Warangal. 506004, India
2Department of Mathematics, Jawaharlal Nehru Technological University Anantapur, A.P. 515002, India


 

Received: March 20, 2015
Accepted: July 9, 2015
Publication Date: September 1, 2015

Download Citation: ||https://doi.org/10.6180/jase.2015.18.3.07  


ABSTRACT


This paper presents an investigation of the influence of variable viscosity, variable thermal conductivity and thermal radiation on mixed convective flow due to a vertical wavy surface immersed in a fluid saturated Darcy porous medium. The viscosity and thermal conductivity of the fluid are assumed to be varying with respect to temperature. The Rosseland approximation is used to describe the radiative heat flux. The governing flow, momentum, energy and concentration equations are transformed into a set of ordinary differential equations using the similarity transformation and then solved numerically. The obtained results are compared with previously existing results admit an excellent accuracy. The effects of various physical parameters on velocity, temperature and concentration as well as Nusselt number and Sherwood number are presented graphically in two cases, i.e., aiding flow and opposing flow.


Keywords: Vertical Wavy Surface, Variable Properties, Thermal Radiation, Darcy Porous Medium


REFERENCES


  1. [1] Cheng, W. T. and Lin, C. H., “Unsteady Mass Transfer in Mixed Convective Heat flow from a Vertical Plate Embedded in a Liquid-saturated Porous Medium with Melting Effect,” International Communications in Heat and Mass Transfer, Vol. 35, pp. 13501354 (2008). doi: 10.1016/j.icheatmasstransfer.2008.08.003
  2. [2] Bakier, A. Y., Rashad, A. M. and Mansour, M. A., “Group Method Analysis of Melting Effect on MHD Mixed Convection Flow from Radiate Vertical Plate Embedded in a Saturated Porous Medium,” Communications in Nonlinear Science and Numerical Simulations, Vol. 14, pp. 21602170 (2009). doi: 10.1016/j. cnsns.2008.06.016
  3. [3] Makinde, O. D. and Aziz, A., “MHD Mixed Convection from a Vertical Plate Embedded in a Porous Medium with a Convective Boundary Condition, International Journal of Thermal Sciences, Vol. 49, pp. 1813 1820 (2010). doi: 10.1016/j.ijthermalsci.2010.05.015
  4. [4] Guedda, M., Aly, E. H. and Ouahsine, A., “Analytical and ChPDM Analysis of MHD Mixed Convection Over a Vertical Flat Plate Embedded in a Porous Medium Filled with Water at 4 C,” Applied Mathematical Modelling, Vol. 35, pp. 51825197 (2011). doi: 10. 1016/j.apm.2011.04.014
  5. [5] Kaya, A., “Effects of Conjugate Heat Transfer on Steady MHD Mixed Convective Heat Transfer Flow Over A Thin Vertical Plate Embedded in a Porous Medium with High Porosity,” Mathematical Problems in Engineering, Article ID: 261871, Vol. 2012, p. 19 (2012). doi: 10.1155/2012/261871
  6. [6] Merkin, J. H., Lok, Y. Y. and Pop, I., “Mixed Convection Boundary Layer Flow on a Vertical Surface in a Porous Medium with a Constant Convective Boundary Conditions,” Transport in Porous Medium, Vol. 99, 413425 (2013). doi: 10.1007/s11242-013-0193-3
  7. [7] Jang, J. H. and Yan, W. M., “Mixed Convection Heat and Mass Transfer Along a Vertical Wavy Surface,” International Journal of Heat and Mass Transfer, Vol. 47, pp. 419428 (2004). doi: 10.1016/j.ijheatmasstransfer. 2003.07.020
  8. [8] Molla, M. M. and Hossain, M. A., “Radiation Effect on Mixed Convection Laminar Flow Along a Vertical Wavy Surface,” International Journal of Thermal Sciences, Vol. 46, pp. 926935 (2007). doi: 10.1016/j. ijthermalsci.2006.10.010
  9. [9] Mahdy, A., “Mixed Convection Heat and Mass Transfer on a Vertical Wavy Plate Embedded in a Saturated Porous Media,” International Journal of Applied Mathematics and Mechanics, Vol. 5, No. 7, pp. 8897 (2008). doi: 10.1016/j.amc.2006.05.037
  10. [10] Aydin, O. and Kaya, A., “Radiation Effect on MHD Mixed Convection Flow about a Permeable Vertical Plate,” Heat and Mass Transfer, Vol. 45, pp. 239246 (2008). doi: 10.1007/s00231-008-0428-y
  11. [11] Hassanien, I. A. and Al-arabi, T. H., “Non-Darcy Unsteady Mixed Convection Flow Near the Stagnation Point on a Heated Vertical Surface Embedded in a Porous Medium with Thermal Radiation and Variable Viscosity,” Communications in Nonlinear Science and Numerical Simulations, Vol. 14, pp. 13661376 (2009). doi: 10.1016/j.cnsns.2008.02.011
  12. [12] Hayat, T., Abbas, Z., Pop, I. and Asghar, S., “Effect of Radiation and Magnetic Field on the Mixed Convection Stagnation Point Flow Over a Vertical Stretching Sheet in a Porous Medium,” International Journal of Heat and Mass Transfer, Vol. 53, pp. 466474 (2010). doi: 10.1016/j.ijheatmasstransfer.2009.09.010
  13. [13] Pal, D. and Talukdar, B., “Combined Effects of Joule Heating and Chemical Reaction on Unsteady Magnetohydrodynamic Mixed Convection of a Viscous Dissipating Fluid Over a Vertical Plate in Porous Media with Thermal Radiation,” Mathematical and Computer Modelling, Vol. 54, pp. 30163036 (2011). doi: 10. 1016/j.mcm.2011.07.030
  14. [14] Makinde, O. D., Heat and Mass Transfer by MHD Mixed Convection Stagnation Point Flow Toward a Vertical Plate Embedded in a Highly Porous Medium with Radiation and Internal Heat Generation,” Meccanica, Vol. 47, pp. 11731184 (2012). doi: 10.1007/ s11012-011-9502-5
  15. [15] Narayana, M., Khidir, A. A., Sibanda, P. and Murthy, P. V. S. N., “Viscous Dissipation Andthermal Radiation Effects on Mixed Convection from a Vertical Plate in a Non-Darcy Porous Medium,” Transport in Porous Media, Vol. 96, pp. 419428 (2013). doi: 10.1007/ s11242-012-0096-8
  16. [16] Lai, E. C. and Kulacki, F. A., “Effects of Variable Viscosity on Convective Heat Transfer Along a Vertical Surface in a Saturated Porous Medium,” International Journal of Heat and Mass Transfer, Vol. 33, pp. 1189 1194 (1990). doi: 10.1016/0017-9310(90)90084-8
  17. [17] Slattery, J. C., Momentum, Energy and Mass Transfer in Continua, Mc. Graw-Hill, New York (1972). doi: 10.1002/aic.690180446
  18. [18] Lai, F. C., “Coupled Heat and Mass Transfer by Mixed Convection from a Vertical Plate in a Saturated Porous Medium,” International Communications in Heat and Mass Transfer, Vol. 18, pp. 93106 (1991). doi: 10. 1016/0735-1933(91)90011-R