THERMAL SCIENCE
International Scientific Journal
ANALYTICAL SOLUTION OF STAGNATION FLOW OF A MICROPOLAR FLUID TOWARDS A VERTICAL PERMEABLE SURFACE
ABSTRACT
In this paper, stagnation flow of a micropolar fluid towards a vertical permeable surface with two cases, Newtonian fluid (K = 0) and non-Newtonian fluid (K = 1) are studied in presence of suction and injection. The transformed non-linear equations are solved analytically by homotopy analysis method and some results are compared with numerical solutions for validity. Analytical results for the velocity profiles, the temperature profiles, the skin friction coefficient and the local Nusselt number are presented for various values of the flow parameters and also these results demonstrate obvious effect of suction and injection on temperature profiles on investigation of such flows, particularly for non-Newtonian fluid.
KEYWORDS
PAPER SUBMITTED: 2009-07-04
PAPER REVISED: 2009-11-28
PAPER ACCEPTED: 2009-12-01
THERMAL SCIENCE YEAR
2010, VOLUME
14, ISSUE
Issue 2, PAGES [383 - 392]
- Eringen, A. C., Microcontinuum Field Theories. II: Fluent Media, Springer, New York, USA, 2001
- Ramachandran, N., Chen, T. S., Armaly, B. F., Mixed Convection in Stagnation Flows Adjacent to Vertical Surfaces, ASME Journal of Heat Transfer, 110 (1988), 2, pp. 373-377
- Hassanien, I., Gorla, R. S. R., Combined Forced and Free Convection in Stagnation Flows of Micropolar Fluids over Vertical Non-Isothermal Surfaces, International Journal of Engineering Science, 28 (1990), 8, pp. 783-792
- Devi, C. D. S., Takhar, H. S., Nath, G., Unsteady Mixed Convection Flow in Stagnation Region Adjacent to a Vertical Surface, Heat and Mass Transfer, 26 (1991), 2, pp. 71-79
- Lok, Y. Y., Amin, N., Campean, D., Pop, I., Steady Mixed Convection Flow of a Micropolar Fluid Near the Stagnation Point on a Vertical Surface, International Journal of Numerical Methods for Heat & Fluid Flow, 15 (2005), 7, pp. 654-670
- Lok, Y. Y., Amin, N., Pop, I., Unsteady Mixed Convection Flow of a Micropolar Fluid Near the Stagnation Point on a Vertical Surface, International Journal of Thermal Science, 11 (2006), 12, pp. 49-57
- Ahmadi, G., Self-Similar Solution of Incompressible Micropolar Boundary Layer Flow over a Semi-Infinite Plate, International Journal of Engineering Science, 14 (1976), 7, pp. 639-646
- Kline, K.A., A Spin-Vorticity Relation for Unidirectional Plane Flows of Micropolar Fluids, International Journal of Engineering Science, 15 (1977), 2, pp. 131-134
- Gorla, R. S. R., Combined Forced and Free Convection in Micropolar Boundary Layer Flow on a Vertical Flat Plate, International Journal of Engineering Science, 26 (1988), 4, pp. 385-391
- Ishak, A., Nazar, R., Pop, I., The Schneider Problem for a Micropolar Fluid, Fluid Dynamics Research, 38 (2006), 7, pp. 489-502
- Ishak, A., Nazar, R., Pop, I., Moving Wedge and Flat Plate in a Micropolar Fluid, International Journal of Engineering Science, 44 (2006), 18-19, pp. 1225-1236
- Ishak, A., Nazar, R., Pop, I., Boundary-Layer Flow of a Micropolar Fluid on a Continuous Moving or Fixed Surface, Canadian Journal of Physics, 84 (2006), 5, pp. 399-410
- Liao, S.-J., On the Analytic Solution of Magnetohydrodynamic Flows of Non-Newtonian Fluids over a Stretching Sheet, J. Fluid. Mech., 488 (2003), pp. 189-212
- Liao, S.-J., On the Homotopy Analysis Method for Nonlinear Problems, Appl. Math. Comput., 147 (2004), 2, pp. 499-513
- Liao, S.-J., A New Branch of Solutions of Boundary-Layer Flows over an Impermeable Stretched Plate, Int. J. Heat Mass Transfer, 48 (2005), 12, pp. 2529-2539
- Liao, S.-J., An Analytic Solution of Unsteady Boundary-Layer Flows Caused by an Impulsively Stretching Plate, Commun. Nonlinear. Sci. Numer. Simul., 11 (2006), 3, pp. 326-339
- Liao, S.-J., Campo, A., Analytic Solutions of the Temperature Distribution in Blasius Viscous Flow Problems, J. Fluid. Mech., 453 (2002), February, pp. 411-425
- Liao, S.-J., Pop, I., Explicit Analytic Solution for Similarity Boundary Layer Equations, Int. J. Heat Mass Transfer, 47 (2004), 1, pp. 75-85
- Joneidi, A. A., et al., Analytical Treatment on Magnetohydrodynamic (MHD) Flow and Heat Transfer Due to a Stretching Hollow Cylinder, International Journal for Numerical Methods in Fluids, 63 (2009), 5, pp. 548-563
- Hayat, T., Kara, A. H., A Variational Analysis of Non-Newtonian Flow in a Rotating System, Internat. J. Comput. Fluid Dyn., 20 (2006), 3, pp, 157-162
- Hayat, T., Oscillatory Solution in Rotating Flow of a Johnson-Segalman Fluid, Z. Angew. Math. Mech., 85 (2005), 6, pp. 449-456