THERMAL SCIENCE
International Scientific Journal
THERMO-MICROPOLAR FLUID FLOW ALONG A VERTICAL PERMEABLE PLATE WITH UNIFORM SURFACE HEAT FLUX IN THE PRESENCE OF HEAT GENERATION
ABSTRACT
A two-dimensional steady convective flow of thermo-micropolar fluid past a vertical permeable flat plate in the presence of heat generation with uniform surface heat flux has been analyzed numerically. The local similarity solutions for the flow, microrotation (angular velocity) and heat transfer characteristics are illustrated graphically for various material parameters entering into the problem. The effects of the pertinent parameters on the local skin friction coefficient, plate couple stress, and the rate of heat transfer are also calculated and displayed graphically. The results show that skin friction coefficient (viscous drag) and the rate of heat transfer (Nusselt number) in micropolar fluid are less compared to that of the Newtonian fluid.
KEYWORDS
PAPER SUBMITTED: 2008-06-10
PAPER REVISED: 2008-09-09
PAPER ACCEPTED: 2008-12-08
THERMAL SCIENCE YEAR
2009, VOLUME
13, ISSUE
Issue 1, PAGES [23 - 26]
- Eringen, A. C., Theory of Micropolar Fluids, J. Math. Mech., 16 (1966), 1, pp.1-18
- Hadimoto, B., Tokioka, T., Two-Dimensional Shear Flows of Linear Micropolar Fluids, Int. J. Eng. Sci., 7 (1969), 5, pp. 515-522
- Lockwood, F., Benchaitra, M., Friberg, S., Study of Lyotropic Liquid Crystals in Viscometric Flow and Clastohydrodynamic Contact, ASLE Tribology Trans., 30 (1987), 4, pp. 539-548
- Ariman, T., Turk, M. A., Sylvester, N. D., Microcontinuum Fluid Mechanics - A Review, Int. J. Eng. Sci., 12 (1974), 4, pp. 273-293
- Ahmadi, G., Self-Similar Solution of Incompressible Micropolar Boundary Layer Flow over a Semi- Infinite Plate, Int. J. Eng. Sci., 14 (1976), 7, pp. 639-646
- Soundalgekar, V. M., Takhar, H. S., Flow of a Micropolar Fluid on a Continuous Moving Plate, Int. J. Eng. Sci., 21 (1983), 8, pp. 961-965
- Gorla, R. S. R., Mixed Convection in a Micropolar Fluid from a Vertical Surface with Uniform Heat Flux, Int. J. Engng. Sci., 30 (1992), 3, pp. 349-358
- Rees, D. A. S., Pop, I., Free Convection Boundary Layer Flow of Micropolar Fluid from a Vertical Flat Plat, IMA J. Appl. Math., 61 (1998), 2, pp. 179-197
- Mohammadein, A. A., Gorla, R. S. R., Heat Transfer in a Micropolar Fluid over a Stretching Sheet with Viscous Dissipation and Internal Heat Generation, Int. J. Num. Meth., Heat Fluid Flow., 11 (2001), 1, pp. 50-58
- Aissa, W. A., Mohammadein, A. A., Joule Heating Effects in a Micropolar Fluid Past a Stretching Sheet with Variable Electric Conductivity, J. Comput. Appl. Mech., 6 (2005), 1, pp. 3-13
- Markin, J. H., Mahmood,T., Mixed Convection Boundary Layer Similarity Solution, Prescribed Heat Flux, ZAMP., 40 (1989), 1, pp. 61-68
- Char, M.-I., Chang, C.-L., Laminar Free Convection Flow of Micropolar Fluids from a Curved Surface, J. Phys. D: Appl. Phys., 28 (1995), 7, pp. 1324-1331
- Kelson, N. A., Farrell, T. W., Micropolar Flow over a Porous Stretching Sheet with Strong Suction or Injection, Int. Comm. Heat Mass Transfer., 28 (2001), 4, pp. 479-488
- Bhargava, R., Kumar, L., Takhar, H. S., Finite Element Solution of Mixed Convection Micropolar Flow Driven by a Porous Stretching Sheet, Int. J. Engng. Sci., 41 (2003), 18, pp. 2161-2178
- Bhargava, R., et al., Numerical Solutions for Micropolar Transport Phenomena over a Nonlinear Stretching Sheet, Nonlin. Analy.: Modl. Control., 12 (2007), 1, pp. 45-63
- Rahman, M. M., Sattar, M. A., Magneto Hydrodynamic Convective Flow of a Micropolar Fluid Past a Continuously Moving Vertical Porous Plate in the Presence of Heat Generation/Absorption, ASME J. H. Transfer., 128 (2006), 2, pp. 142-152
- Rahman, M. M., Sultana, T., Radiative Heat Transfer Flow of Micropolar Fluid with Variable Heat Flux in a Porous Medium., Nonlinear Analysis: Modeling Control, 13 (2008), 1, pp. 71-87
- Jena, S. K., Mathur, M. N., Similarity Solution for Laminar Free Convection Flow of Thermo-Micropolar Fluid Past a Non-Isothermal Vertical Flat Plate, Int. J. Engng. Sci., 19 (1981), 11, pp. 1431-1439
- Peddison, J., McNitt, R. P., Boundary Layer Theory for Micropolar Fluid, Recent Adv. Eng. Sci., 5 (1970), pp. 405-426
- Nachtsheim, P. R., Swigert, P., Satisfaction of the Asymptotic Boundary Conditions in Numerical Solution of the System of Non-Linear Equations of Boundary Layer Type, NASA TND-3004, 1965
- Maleque, K. A., Sattar, M. A., The Effects of Variable Properties and Hall Current on Steady MHD Laminar Convective Fluid Flow Due to a Porous Rotating Disk, Int. J. Heat Mass Trans., 48 (2005), 23-24, pp. 4963-7492
- El-Arabawy, H. A. M., Effect of Suction/Injection on the Flow of a Micropolar Fluid Past a Continuously Moving Plate in the Presence of Radiation, Int. J. Heat Mass Transfer., 46 (2003), 8, pp. 1471-1477