Abstract
Combined heat and mass transfer in free, forced and mixed convection flows along a porous wedge with internal heat generation in the presence of uniform suction or injection is investigated. The boundary-layer analysis is formulated in terms of the combined thermal and solute buoyancy effect. The flow field characteristics are analyzed using the Runge-Kutta-Gill method, the shooting method, and the local nonsimilarity method. Due to the effect of the buoyancy force, power law of temperature and concentration, and suction/injection on the wall of the wedge, the flow field is locally nonsimilar. Numerical calculations up to third-order level of truncation are carried out for different values of dimensionless parameters as a special case. The effects of the buoyancy force, suction, heat generation, and variable wall temperature and concentration on the dimensionless velocity, temperature, and concentration profiles are studied. The results obtained are found to be in good agreement with previously published works.
Similar content being viewed by others
References
M. A. Combarnous and S. A. Bories, “Hydro-Thermal Convection in Saturated Porous Media,” Adv. Hydrosci. 10, 231–307 (1975).
I. Catton, “Natural Convection Heat Transfer in Porous Media,” Int. J. Eng. Sci. 33, 131–138 (1985).
P. Cheng and W. J. Minkowycz, “Free Convection about a Vertical Flat Plate Embedded in a Porous Medium with Application to Heat Transfer from a Dike,” J. Geophys. Res. 82, 2040–2048 (1977).
A. Bejan, “The Method of Scale Analysis: Natural Convection in Porous Media,” in Natural Convection: Fundamentals and Applications, Ed. by W. Aung, S. Kakac, and S. Viskanta (Hemisphere, Washington, 1985), pp. 548–572.
D. A. Nield and A. Bejan, Convection in Porous Media (Springer, New York, 1999).
R. Kandasamy, Muhaimin, I. Hashim, and Ruhaila, “Thermophoresis and Chemical Reaction Effects on Non-Darcy Mixed Convective Heat and Mass Transfer Past a Porous Wedge with Variable Viscosity in the Presence of Suction or Injection,” Nuclear Eng. Des. 238, 2699–2705 (2008).
Muhaimin, R. Kandasamy, I. Hashim, and Ruhaila, “Influence of Thermal Stratification and Variable Viscosity on Non-Darcy Mixed Convective Heat Transfer Past a Porous Wedge in the Presence of Viscous Dissipation,” Int. J. Appl. Math. Stat. 13, 9–23 (2008).
B. Gebhart and L. Pera, “The Nature of Vertical Natural Convection Flows Resulting from the Combined Buoyancy Effects of Thermal and Mass Diffusion,” Int. J. Heat Mass Transfer 14, 2025–2050 (1971).
L. Pera and B. Gebhart, “Natural Convection Boundary Layer over Horizontal and Slightly Inclined Surfaces,” Int. J. Heat Mass Transfer 16, 1131–1146 (1972).
T. S. Chen and C. F. Yuh, “Combined Heat and Mass Transfer in Mixed Convection along Vertical and Inclined Plates,” Int. J. Heat Mass Transfer 23, 527–537 (1980).
R. Kandasamy and 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,” J. Comput. Appl. Mech. 5, 21–31 (2004).
K. A. Yih, “MHD Forced Convection Flow Adjacent to Non-Isothermal Wedge,” Int. Commun. Heat Mass Transfer 26, 819–827 (1999).
T. Watanabe, K. Funazaki, and H. Taniguchi, “Theoretical Analysis on Mixed Convection Boundary Layer Flow over a Wedge with Uniform Suction or Injection,” Acta Mech. 105, 133–141 (1994).
N. G. Kafoussias and N. D. Nanousis, “Magnetohydrodynamic Laminar Boundary Layer Flow over a Wedge with Suction or Injection,” Canad. J. Phys. 75, 733–745 (1997).
E. M. Sparrow, H. Quack, and C. J. Boerner, “Local Nonsimilarity Boundary Layer Solution,” AIAA J. 8, 1936–1942 (1970).
E. M. Sparrow and H. S. Yu, “Local Nonsimilarity Thermal Boundary Layer Solutions,” Trans. ASME, J. Heat Transfer 93, 328–334 (1971).
W. J. Minkowycz and E. M. Sparrow, “Local Nonsimilarity Solutions for Natural Convection on a Vertical Cylinder,” J. Heat Transfer 96, 178–183 (1974).
J. L. Novotny, J. D. Bankston, and J. R. Lloyd, “Local Nonsimilarity Applied to free Convection Boundary Layers with Radiation Interaction,” Progr. Astronaut. Aeronaut. 39, 309–330 (1975).
A. Mucoglu and T. S. Chen, “Mixed Convection on Inclined Surfaces,” Trans. ASME, J. Heat Transfer 101, 442–426 (1979).
W. J. Minkowycz and E. M. Sparrow, “Numerical Solution Scheme for Local Nonsimilarity Boundary Layer Analysis,” Numer. Heat Transfer 1, 69–85 (1978).
N. G. Kafoussias and E. W. William, “An Improved Approximation Technique to Obtain Numerical Solutions of a Class of Two-Point Boundary Value Similarity Problems in Fluid Mechanics,” Int. J. Numer. Methods Fluid 17, 145–162 (1993).
W. R. Risbeck, T. S. Chen, and B. F. Armaly, “Laminar Mixed Convection on Horizontal Flat Plates with Variable Surface Heat Flux,” Int. J. Heat Mass Transfer 37, 699–704 (1994).
T. Watanabe, “Thermal Boundary Layer over a Wedge with Uniform Suction or Injection in Forced Flow,” Acta Mech. 83, 119–126 (1990).
M. A. Hossain and A. Nakayama, “Non-Darcy Free Convection Flow along a Vertical Cylinder Embedded in a Porous Medium with Surface Mass Flux,” Int. J. Heat Fluid Flow 14, 385–390 (1993).
M. A. Hossain, N. Banu, and A. Nakayama, “Non-Darcy Forced Convection Flow over a Wedge Embedded in a Porous Medium,” Numer. Heat Transfer, A 26, 399–414 (1994).
W. J. Minkowycz, E. M. Sparrow, G. E. Schneider, and R. H. Pletcher, Handbook of Numerical Heat Transfer (John Wiley and Sons, New York, 1988).
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian Text © I. Muhaimin, R. Kandasamy, P. Loganathan, P. Puvi Arasu.
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 53, No. 2, pp. 99–110, March–April, 2012.
Rights and permissions
About this article
Cite this article
Muhaimin, I., Kandasamy, R., Loganathan, P. et al. Local nonsimilarity solution for the impact of the buoyancy force on heat and mass transfer in a flow over a porous wedge with a heat source in the presence of suction/injection. J Appl Mech Tech Phy 53, 231–241 (2012). https://doi.org/10.1134/S0021894412020113
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894412020113