Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-27T08:19:48.680Z Has data issue: false hasContentIssue false
  • English
  • Français

Mixed Convection Heat and Mass Transfer in a Micropolar Fluid with Soret and Dufour Effects

Published online by Cambridge University Press:  03 June 2015

D. Srinivasacharya  and
Ch. RamReddy
D. Srinivasacharya*
Affiliation:
Department of Mathematics, National Institute of Technology, Warangal-506004, andhra Pradesh, India
Ch. RamReddy*
Affiliation:
Department of Mathematics, National Institute of Technology, Warangal-506004, andhra Pradesh, India
*
Corresponding author. URL: http://www.nitw.ac.in/nitwnew/facultypage.aspx?didno=9&fidno=557 Email: [email protected]
Email: [email protected]
Get access

Abstract

A mathematical model for the steady, mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a micropolar fluid in the presence of Soret and Dufour effects is presented. The non-linear governing equations and their associated boundary conditions are initially cast into dimensionless forms using local similarity transformations. The resulting system of equations is then solved numerically using the Keller-box method. The numerical results are compared and found to be in good agreement with previously published results as special cases of the present investigation. The non-dimensional velocity, microrotation, temperature and concentration profiles are displayed graphically for different values of coupling number, Soret and Dufour numbers. In addition, the skin-friction coefficient, the Nusselt number and Sherwood number are shown in a tabular form.

Keywords

80M2080A2076A0576E06Mixed convectionheat and mass transfermicropolar fluidSoret and Dufour effects
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 4 , August 2011 , pp. 389 - 400
Copyright
Copyright © Global-Science Press 2011

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

[1] Eckeret, E. R. G. and Drake, R. M., Analysis of Heat and Mass Transfer, McGraw Hill, Newyark, 1972.Google Scholar
[2] Bejan, A., Convection Heat Transfer, Newyork: John Wiley, 1984.Google Scholar
[3] 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. Trans., 35 (1992), pp. 2060–2065.Google Scholar
[4] Kafoussias, N. G. and Williams, N. G., Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective and mass transfer boundary layer flow with temperature dependent viscosity, Int. J. Eng. Sci., 33 (1995), pp. 1369–1384.CrossRefGoogle Scholar
[5] 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. Trans., 47 (2004), pp. 1467–1475.Google Scholar
[6] Abreu, C. R. A., Alfradique, M. F. and Silva, A. T., Boundary layer flows with Dufour and Soret effects: I: forced and natural convection, Chem. Eng. Sci., 61 (2006), pp. 4282–4289.CrossRefGoogle Scholar
[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. Anal. Model. Contr., 11 (2006), pp. 3–12.CrossRefGoogle Scholar
[8] Narayana, P. A. Lakshmi and Murthy, P. V. S. N., Soret and Dufour effects in a doubly stratified Darcy porous medium, J. Porous. Media., 10 (2007), pp. 613–624.Google Scholar
[9] Eringen, A. C., Theory of micropolar fluids, J. Math. Mech., 16 (1966), pp. 1–18.Google Scholar
[10] Lukaszewicz, G., Micropolar Fluids-Theory and Applications, Birkhauser, Basel, 1999.CrossRefGoogle Scholar
[11] Ahmadi, G., Self-similar solution of incompressible micropolar boundary layer flow over a semiinfinite plate, Int. J. Eng. Sci., 14 (1976), pp. 639–646.Google Scholar
[12] Jena, S. K. and Mathur, M. N., Mixed convection flow of a micropolar fluid from an isothermal vertical plate, Comput. Math. Appl., 10 (1984), pp. 291–304.CrossRefGoogle Scholar
[13] Gorla, R. S. R., Lin, P. P. and Yang, An-Jen, Asymptotic boundary layer solutions for mixed convection from a vertical surface in a micropolar fluid, Int. J. Eng. Sci., 28 (1990), pp. 525–533.Google Scholar
[14] Wang, T.-Y., The coupling of conduction with mixed convection of micropolar fluids past a vertical flat plate, Int. Commun. Heat. Mass. Trans., 25 (1998), pp. 1075–1084.Google Scholar
[15] Beg, O. A., Bhargava, R., Rawat, S. and Kahya, E., Numerical study of micropolar con-vective heat and mass transfer in a non-Darcy porous regime with Soret and Dufour effects, EJER., 13 (2008), pp. 51–66.Google Scholar
[16] Rawat, S. and Bhargava, R., Finite element study of natural convection heat and mass transfer in a micropolar fluid saturated porous regime with Soret/Dufour effects, Int. J. Appl. Math. Mech., 5 (2009), pp. 58–71.Google Scholar
[17] Cebeci, T. and Bradshaw, P., Physical and Computational Aspects of Convective Heat Transfer, Springer-Verlin, 1984.Google Scholar
[18] Na, T. Y., Computational Mehtods in Engineering Boundary Value Problems, Academic Press, Newyork 1979.Google Scholar
[19] Alabraba, M. A., Bestman, A. R. and Ogulu, A., Laminar convection in binary mixture of hydromagnetic flow with radiative heat transfer-I, Astrophys. Space. Sci., 195 (1992), pp. 431–439.Google Scholar
[20] Cowin, S. C., Polar fluids, Phys. Fluids., 11 (1968), pp. 1919–1927.Google Scholar
[21] 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., 14 (1990), pp. 305–309.Google Scholar
[22] Keller, H. B., Numerical methods in boundary-layer theory, Annu. Rev. Fluid. Mech., 10 (1978), pp. 417–433.CrossRefGoogle Scholar
[23] Kumari, M., Takhar, H. S. and Nath, G., Flow and heat transfer of a viscoelastic fluid over a flat plate with magnetic field and a presure gradient, Ind. J. Pure. Appl. Math., 28 (1997), pp. 109–121.Google Scholar
[24] Ishak, A., Nazar, Roslinda and Pop, I., Mixed convection boundary layer flow adjacent to a vertical surface embedded in a stable stratified medium, Int. J. Heat. Mass. Trans., 51 (2008), pp. 3693–3695.CrossRefGoogle Scholar
[25] Bachok, N., Ishak, A. and Pop, I., Mixed convection boundary layer flow near the stagnation point on a vertical surface embedded in a porous medium with anisotropy effect, Trans. Porous. Media., 82 (2010), pp. 363–373.Google Scholar