THERMAL SCIENCE

International Scientific Journal

Adem Kilicman

,

Yasir Khan

,

Ali Akgül

,

Naeem Faraz

,

Esra Karatas Akgül

,

Mustafa Inc

ANALYTIC APPROXIMATE SOLUTIONS FOR FLUID FLOW IN THE PRESENCE OF HEAT AND MASS TRANSFER

ABSTRACT
This paper outlines a comprehensive study of the fluid-flow in the presence of heat and mass transfer. The governing non-linear ODE are solved by means of the homotopy perturbation method. A comparison of the present solution is also made with the existing solution and excellent agreement is observed. The implementation of homotopy perturbation method proved to be extremely effective and highly suitable. The solution procedure explicitly elucidates the remarkable accuracy of the proposed algorithm.
KEYWORDS
homotopy perturbation method, heat and mass transfer, fluid flow
PAPER SUBMITTED: 2017-11-17
PAPER REVISED: 2017-12-10
PAPER ACCEPTED: 2017-12-27
PUBLISHED ONLINE: 2018-02-18
DOI REFERENCE: https://doi.org/10.2298/TSCI171117029K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S259 - S264]
REFERENCES
  1. Dehghan, M., Shokri, A., A numerical method for KdV equation using collocation and radial basis functions, Nonlin. Dynam., 50 (2007), 1-2, pp.111-120.
  2. Dehghan, M., Tatari, M., Determination of a control parameter in a one dimensional parabolic equation using the method of radial basis functions, Mathematical and Computer Modeling, 44(2006), 11-12, pp. 1160-1168.
  3. Dehghan, M., Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices, Math. Comput. Simul., 71(2006), 1, pp.16-30.
  4. He, J.H., Homotopy perturbation technique, Comp. Meth. Appl. Mech. Engrg, 178 (1999), 3-4, pp. 257-292.
  5. Khan, Y., Wu, Q., Homotopy Perturbation transform method for nonlinear equations using He's polynomials, Comput. Math. Appl., 61(2011), 8, pp. 1963-1967.
  6. He, J. H., A Note on the Homotopy Perturbation Method, Thermal Science, 14(2010), 2, pp. 565-568.
  7. Khan, Y., Wu, Q., Faraz, N. & Yildirim, A., The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet, Comput. Math. Appl., 61(2011), 11, pp. 3391-3399.
  8. He, J. H., Analytical methods for thermal science-an elementary introduction, Thermal Science, 15(2011), Suppl. 1, pp. S1-S3.
  9. Khan, Y., Faraz, N., Yildirim, A., & Wu, Q., A Series Solution of the Long Porous Slider, Tribology Transactions, 54(2011), 2, pp. 187-191
  10. Khan, Y., Two-dimensional boundary layer flow of chemical reaction MHD fluid over a shrinking sheet with suction and injection, J. Aerosp. Eng., 27 (2014), 5, pp. 04014019.
  11. Khan, Y., Latifizadeh, H., Application of new optimal homotopy perturbation and Adomian decomposition methods to the MHD non-Newtonian fluid flow over a stretching sheet, Inter. J. Numer. Methods Heat Fluid Flow, 24 (2014), 1, pp. 124-136.
PDF VERSION [DOWNLOAD]
Analytic approximate solutions for fluid flow in the presence of heat and mass transfer

© 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