Mixed Convection Flow of Couple Stress Fluid in a Non-Darcy Porous Medium with Soret and Dufour Effects

D. Srinivasacharya; K. Kaladhar

doi:10.6180/jase.2012.15.4.11

Mixed Convection Flow of Couple Stress Fluid in a Non-Darcy Porous Medium with Soret and Dufour Effects

D. Srinivasacharya This email address is being protected from spambots. You need JavaScript enabled to view it.¹ and K. Kaladhar¹

¹Department of Mathematics, National Institute of Technology, Warangal-506 004, India

Received: August 14, 2011
Accepted: May 8, 2012
Publication Date: December 1, 2012

Download Citation: ||https://doi.org/10.6180/jase.2012.15.4.11

ABSTRACT

An analysis is presented to investigate the Soret and Dufour effects on the mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a non-Darcy porous medium saturated with couple stress fluid. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and then solved numerically. Special cases of the present investigation are compared with previously published work and found to be in good agreement. Profiles 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 rates of heat and mass transfer in terms of the local Nusselt and Sherwood numbers are discussed.

Keywords: Mixed Convection, Non-Darcy Porous Medium, Couple Stress Fluid, Soret and Dufour Effect

REFERENCES

[1] Nield, D. A. and Bejan, A., Convection in Porous Media, Springer-Verlag, New York (2006).
[2] Eckeret, E. R. G. and Drake, R. M., Analysis of Heat and Mass Transfer, McGraw Hill, Newyark (1972).
[3] Kafoussias, N. G., “Local Similarity Solution for Combined Free-Forced Convective and Mass Transfer Flow Past a Semi-Infinite Vertical Plate,” Int. J. Energy Res., Vol. 14, pp. 305309 (1990).
[4] Dursunkaya, Z. and Worek, W. M., “Diffusion-Thermo and Thermal Diffusion Effects in Transient and Steady Natural Convection from a Vertical Surface,” Int. J. Heat Mass Transfer, Vol. 35, pp. 20602065 (1992).
[5] Kafoussias, N. G. and Williams, N. G., “Thermal-Diffusion and Diffusion-Thermo Effects on Mixed FreeForced Convective and Mass Transfer Boundary Layer Flow with Temperature Dependent Viscosity,” Int. J. Engng. Sci., Vol. 33, pp. 13691384 (1995).
[6] Postelnicu, A., “Influence of a Magnetic Field on Heat and Mass Transfer by Natural Convection from Vertical Sufaces in Porous Media Considering Soret and Dufour Effects,” Int. J. Heat Mass Transfer, Vol. 47, pp. 14671475 (2004).
[7] Alam, M. S. and Rahman, M. M., “Dufour and Soret Effects on Mixed Convection Flow Past a Vertical Porous Flat Plate with Variable Suction,” Nonlinear Analysis: Modeling and Control, Vol. 11, pp. 312 (2006).
[8] Abreu, C. R. A., Alfradique, M. F. and Silva, A. T., “Boundary Layer Flows with Dufour and Soret Effects: I: Forced and Natural Convection,” Chemical Engineering Science, Vol. 61, pp. 42824289 (2007).
[9] Lakshmi Narayana, P. A. and Murthy, P. V. S. N., “Soret and Dufour Effects in a Doubly Stratified Darcy Porous Medium,” Journal of Porous Media, Vol. 10, pp. 613624 (2007).
[10] Srinivasacharya, D. and RamReddy, Ch., “Soret and Dufour Effects on Mixed convection in a Non-Darcy Porous Medium Saturated with Micropolar Fluid,” Nonlinear Analysis: Modelling and Control, Vol. 16, pp. 100115 (2011).
[11] Stokes, V. K., “Couple Stresses in Fluid,” The Physics of Fluids, Vol. 9, pp. 17091715 (1966).
[12] Srivastava, L. M., “Peristaltic Transport of a CoupleStress Fluid,” Rheol, Acta, Vol. 25, pp. 638641 (1986).
[13] Shehawey, E. F. E. and Mekheimer, K. S., “CoupleStresses in Peristaltic Transport of Fluids,” J. Phys. D. Appl. Phys., Vol. 27, pp. 11631170 (1994).
[14] Dulal Pal, Rudraiah, L. M. and Devanathan, R., “A Couple Stress Model of Blood Flow in the Microcirculation,” Bull. Math. Biol., Vol. 50, pp. 329344 (1988).
[15] Chiang, H. L., Hsu, C. H. and Lin, J. R., “Lubrication Performance of Finite Journal Bearings Considering Effects of Couple Stresses and Surface Roughness,” Tribol. Int., Vol. 37, pp. 297307 (2004).
[16] Naduvinamani, N. B., Hiremath, P. S. and Gurubasavaraj, G., “Effect of Surface Roughness on the Couple-Stress Squeeze Filmbetween a Sphere and a Flat Plate,” Tribol. Int., Vol. 38, pp. 451458 (2005).
[17] Jian, C. W., Chang, and Chen, C. K., “Chaos and Bifurcation of a Flexible Rotor Supported by Porous Squeeze Couple Stress Fluid Film Journal Bearings with Non-Linear Suspension,” Chaos, Solitons Fractals, Vol. 35, pp. 358375 (2006).
[18] Lu, R. F. and Lin, J. R., “A Theoretical Study of Combined Effects of Non-Newtonian Rheology and Viscosity Pressure Dependence in the Sphere-Plate Squeeze-Film System,” Tribol. Int., Vol. 40, pp. 125 131 (2007).
[19] Srinivasacharya, D. and Kaladhar, K., “Mixed Convection Flow of Couple Stress Fluid between Parallel Vertical Plates with Hall and Ion-Slip Effects,” Commun Nonlinear Sci Numer Simulat., Vol. 17, pp. 2447 2462 (2012).
[20] Cebeci, T. and Bradshaw, P., Physical and Computational Aspects of Convective Heat Transfer, SpringerVerlag, New York (1988).
[21] McDougall, T. J., “Double Diffusive Convection Caused by Coupled Molecular Diffusion,” J. Fluid Mech., Vol. 126, pp. 379397 (1982).