NUMERICAL SOLUTION OF UNSTEADY FREE CONVECTION FLOW IN A SECOND GRADE FLUID
DOI:
https://doi.org/10.11113/jt.v78.7819Keywords:
Unsteady, second grade fluid, free convection, heat transfer, finite difference methodAbstract
In this paper, the problem of unsteady free convection flow moves along a vertical plate in a second grade fluid is studied. The vertical plate with constant temperature is considered. The dimensional governing equations are transformed into non dimensional equations using appropriate dimensionless variables and solved numerically using Finite Difference Method. Numerical results for velocity and temperature profiles are displayed graphically for viscoelastic parameter, Grashof number and Prandtl number and discussed in details. It is found that, increasing the values of Grashof number and time leads to increase in the velocity profiles. Increasing the values of the Prandtl number and viscoelastic parameter is found to decrease the velocity profile. It is further found that, increasing the values of Prandtl number tends to decrease the thermal boundary layer thickness.Â
References
Goerke, A.R., Leung, J. and Wickramasinghe, S.R. 2002. Mass and Momentum Transfer in Blood Oxygenators. Chemical Engineering Science. 57: 2035-2046.
Vrentas, J.S. and Vrentas, C.M. 1996. Axial Moment Analyses of Convective Heat and Mass Transfer Processes. Chemical Engineering Science. 51: 921-929.
Elperin, T. and Fominnykh, A. 2001. Effect of Solute Concentration Level on the Rate of Coupled Mass and Heat Transfer during Solid Sphere Dissolution in a Uniform Fluid Flow. Chemical Engineering Science. 56: 3065-3074.
Kassim, A.R.M., Mohammad, N. F., Shafie, S. and Pop, I. 2013. Constant Heat Flux Solution for Mixed Convection Boundary Layer Viscoelastic Fluid. Heat and Mass Transfer. 49:163-171.
Fosdick, R. L. and Rajagopal, K. R. 1979. Anomalous Feature in the Model of Second order Fluids. Archieve for Rational Mechanics and Analysis. 70: 145-152.
Dunn, J. E. and Fosdisk, R. L. 1974. Thermodynamics, Stability and Boundedness of Fluids of Complexity 2 and Fluids of Second-grade. Archieve for Rational Mechanics and Analysis. 56: 191-252.
Rajagopal, K. R., Na, T. Y. and Gupta, A. S. 1984. Flow of a Viscoelatic Fluid over a Stretching Sheet. Rheological Acta. 23: 213-215.
Bujurke, N.M., Biradar, S.N. and Hiremath, P. S. 1987. Second-order Fluid Flow past a Stretching Sheet with Heat Transfer. Journal of Applied Mathematics and Physics. 38:653-657.
Mustafa, N., Asghar, S. and Hossain, M. A. 2010. Natural Convection Flow of Second-grade Fluid along a Vertical Heated Surface with Variable Heat Flux. International Journal of Heat and Mass Transfer. 53: 5856-5862.
Samiulhaq, Khan, I., Ali, F. and Shafie, S. 2014. Free Convection Flow of a Second Grade Fluid with Ramped Wall Temperature. Heat Transfer Research. 45(7): 579-588.
Ali, F., Khan, I. and Shafie, S. 2014. Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate. Plos One. 9(2).
Khan, I., Ali, F. Shafie, S. and Qasim, M. 2014. Unsteady Free Convection Flow in a Walter’s-B Fluid and Heat Transfer Analysis. Bulletin of the Malaysian Sciences Society. 37: 437-448.
Downloads
Published
Issue
Section
License
Copyright of articles that appear in Jurnal Teknologi belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions, or any other reproductions of similar nature.
