Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method
American Journal of Applied Mathematics
Volume 3, Issue 3, June 2015, Pages: 157-168
Received: Mar. 6, 2015; Accepted: Mar. 16, 2015; Published: Jun. 8, 2015
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Authors
Lasker Ershad Ali, Mathematics Discipline, Khulna University, Khulna, Bangladesh
Ariful Islam, Mathematics Discipline, Khulna University, Khulna, Bangladesh
Nazmul Islam, Mathematics Discipline, Khulna University, Khulna, Bangladesh
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Abstract
Micropolar fluid behavior on MHD free convection and mass transfer with constant heat and mass fluxes is studied numerically. Finite difference technique is used as the main tool for the numerical approach. Micropolar fluid behavior on MHD steady free convection and mass transfer with constant heat and mass fluxes have been considered and its similarities solution have been obtained. Similarity equations of the corresponding momentum, angular momentum, temperature and concentration equations are derived by employing the usual similarity technique. The dimensionless similarity equations for momentum, angular momentum, temperature and concentration equations solved numerically by explicit finite difference technique. With the help of graphs the effects of the various important parameters entering into each of the problems on the velocity, microrotation, temperature and concentration profiles within the boundary layer are separately discussed.
Keywords
Micropolar Fluid, Finite Difference Method, Mass Transfer and MHD Free Convection
To cite this article
Lasker Ershad Ali, Ariful Islam, Nazmul Islam, Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method, American Journal of Applied Mathematics. Vol. 3, No. 3, 2015, pp. 157-168. doi: 10.11648/j.ajam.20150303.23
References
[1]
Callahan, G. D., and Marner, W. J., (1976), Transient free convection with mass transfer on an isothermal vertical flat plate. International Journal of Heat and Mass Transfer, 19:165–174.
[2]
Char, M. I., and Chang, C. L., (1995), Laminar free convection flow of micropolar fluids from a curved surface. Journal of Physics D: Applied Physics, 28:1324–1331.
[3]
El-Haikem, M. A., Mohammadein, A. A. and El-Kabeir, S. M. M., (1999), Joule heating effects on magneto hydrodynamic free convection flow of a micropolar fluid. International Journal of Communication Heat and Mass Transfer, 2:219-227.
[4]
El-Amin, M. F., (2001), Magneto hydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction. Journal of Magnetism and Magnetic Materials, 234(3):567-574.
[5]
El-Arabawy, H. A. M., (2003), Effect of suction/injection on the flow of a micropolar fluid past a continuously moving plate in the presence of radiation. International Journal of Heat and Mass Transfer, 46:1471-1477.
[6]
Eringen, A. C., (1966), Theory of micropolar fluids. Journal of Mathematical Mechanics, 16:1-18.
[7]
Gorla, R. S. R., (1992), Mixed convection in a micropolar fluid from a vertical surface with uniform heat flux. International Journal of Engineering and Science, 30:349–358.
[8]
Haque, M. Z., Alam, M. M., Ferdows, M., and Postelnicu, A., (2012), Micropolar fluid behaviors on steady MHD free convection and mass transfer flow with constant heat and mass fluxes, joule heating and viscous dissipation. Journal of King Saud University–Engineering Sciences, 24:71–84.
[9]
Mohammadein, A. A. and Gorla R. S. R., (1996), Effects of transverse magnetic-field on mixed convection in a micropolar fluid on a horizontal plate with vectored mass-transfer. Acta Mechanica, 118:1-12.
[10]
Peddiesen, J., and McNitt, R. P., (1970), Boundary layer theory for micropolar fluid. Recent Advanced Engineering Science, 5:405-426.
[11]
Rahman, M. M., and Sattar, M. A., (2006), Magneto hydrodynamic convective flow of a micropolar fluid past a continuously moving porous plate in the presence of heat generation/absorption. ASME, Journal of Heat Mass Transfer, 128:142-152.
[12]
Rees, D. A. S., and Bassom, A. P., (1996), The Blasius boundary layer flow of a micropolar fluid. International Journal of Engineering and Science, 34:113-124.
[13]
Soundalgekar, V.M., and Ganesan, P., (1981), Finite difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate. International Journal of Engineering and Science, 19:757–770.
[14]
Takhar, H. S., and Soundalgekar, V. M., (1985), Flow and heat transfer of micropolar fluid past a porous plate. International Journal of Engineering and Science, 23:201-205.
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