THERMAL SCIENCE

International Scientific Journal

Mojtaba Babaelahi

,

Davood Domairry Ganji

,

Amin Ahmadi Joneidi

ANALYTICAL TREATMENT OF MIXED CONVECTION FLOW PAST VERTICAL FLAT PLATE

ABSTRACT
The problem of steady incompressible mixed convection flow past vertical flat plate has been considered. The velocity and temperature equations for this problem are reduced to set of non-linear ordinary differential equations by appropriate transformation and are solved by optimal homotopy asymptotic method. Results show that this method provides us with a convenient way to control the convergence of approximation series and adjust convergence regions when necessary. It is concluded that increment of the Prandtl number leads to diminishing of the temperature values.
KEYWORDS
mixed convection, flat plate, temperature, optimal homotopy asymptotic method
PAPER SUBMITTED: 2009-06-06
PAPER REVISED: 2009-12-15
PAPER ACCEPTED: 2009-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI1002409B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2010, VOLUME 14, ISSUE Issue 2, PAGES [409 - 416]
REFERENCES
  1. Nayfeh, A. H., Mook, D. T., Nonlinear Oscillations, John Willey and Sons, New York, USA, 1979
  2. He, J. H., Homotopy Perturbation Method for Bifurcation on Nonlinear Problems, Int. J. Non-Linear Sci. Numer. Simul., 6 (2005), 2, pp. 207-208
  3. He, J. H., An Elementary Introduction to the Homotopy Perturbation Method, Computers & Mathematics with Applications, 57 (2009), 3, pp. 410-412
  4. He, J. H., A Review on Some New Recently Developed Nonlinear Analytical Techniques, Int. J. Non-linear Sci. Numer. Simul., 1 (2000), 1, pp. 51-70
  5. Ariel, P. D., Homotopy Perturbation Method and the Natural Convection Flow of a Third Grade Fluid through a Circular Tube, Nonlinear Science Letters A, 1 (2010) 1, pp. 43-52
  6. Ganji, D. D., et al., A Comparative Comparison of He's Method with Perturbation and Numerical Methods for Nonlinear Vibrations Equations, International Journal of Nonlinear Dynamics in Engineering and Sciences, 1 (2009), 1, pp. 1-20
  7. Golbabai, A., Ahmadian, D., Homotopy Pade Method for Solving Linear and Nonlinear Integral Equations, International Journal of Nonlinear Dynamics in Engineering and Sciences, 1 (2009), 1, pp. 59-66
  8. He, J. H., Variational Iteration Method - Some Recent Results and New Interpretations, Journal of Computational and Applied Mathematics, 207 (2007), 1, pp. 3-17
  9. Liao, S. J., The Proposed Homotopy Analysis Technique for the Solution of Nonlinear Problems, Ph. D. thesis, Shanghai Jiao Tong University, Shanghai, China, 1992
  10. Joneidi, A. A., et al., Analytical Treatment on Magnetohydrodynamic (MHD) Flow and Heat Transfer Due to a Stretching Hollow Cylinder, Int. J. Numer. Meth. Fluids, (2009), DOI: 10.1002/fld.2087
  11. Joneidi, A. A., Domairry, G., Babaelahi, M., Analytical Treatment of MHD Free Convective Flow and Mass Transfer over a Stretching Sheet with Chemical Reaction, Journal of the Taiwan Institute of Chemical Engineers, (2009), doi:10.1016/j.jtice.2009.05.008
  12. Zhou, J. K., Differential Transformation and Its Applications for Electrical Circuits (in Chinese), Huarjung University Press, Wuuhahn, China, 1986
  13. Babaelahi, M., Ganji, D. D., Joneidi, A. A., Analysis of Velocity Equation of Steady Flow of a Viscous Incompressible Fluid in Channel with Porous Walls, Int. J. Numer. Meth. Fluids, (2009), DOI: 10.1002/fld.2114.
  14. Joneidi, A. A., Ganji, D. D., Babaelahi, M., Differential Transformation Method to Determine Fin Efficiency of Convective Straight Fins with Temperature Dependent Thermal Conductivity, Int. Comm. Heat and Mass Trans., 36 (2009), 7, pp. 757-762
  15. He, J. H., An Elementary Introduction to Recently Developed Asymptotic Methods and Nanomechanics in Textile Engineering, Int. J. of Modern Phys. B, 221 (2008), 21, pp. 3487-3578
  16. Marinca, V., Herisanu, N., Application of Optimal Homotopy Asymptotic Method for Solving Nonlinear Equations Arising in Heat Transfer, Int. Comm. Heat and Mass Trans., 35 (2008), 6, pp. 710-715
  17. Marinca, V., et al., An Optimal Homotopy Asymptotic Method Applied to the Steady Flow of a Fourth-Grade Fluid Past a Porous Plate, Applied Mathematics Letters, 22 (2009), 2, pp. 245-251
  18. Marinca, V., Herisanu. N., Optimal Homotopy Asymptotic Method with Application to Thin Film Flow, Central European Journal of Physics, 6 (2008), 3, pp. 1608-1644
  19. Herisanu, N., et al., A New Analytical Approach to Nonlinear Vibration of an Electrical Machine, Proceedings of the Romanian Academy, Series A, 9 (2008), 3, pp. 229-236
  20. Joneidi, A. A., Ganji, D. D., Babaelahi, M., Micropolar Flow in a Porous Channel with High Mass Transfer, Int. Comm. Heat and Mass Trans., 36 (2009), 10, pp. 1082-1088
  21. Gebhart, B., et al., Buoyancy-Induced Flows and Transport, Hemisphere Publication, Washington DC, USA, 1988
  22. Oosthuizen, P. H., Naylor, D., An Introduction to Convective Heat Transfer Analysis, McGraw Hill, New York, USA, 1999
PDF VERSION [DOWNLOAD]
Analytical treatment of mixed convection flow past vertical flat plate

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence