Oblique stagnation flow of Jeffery fluid over a stretching convective surface optimal solution

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 25, Issue 3, 2015, Pages 454-471

  Mehmood, R ^a   Nadeem, Sohail ^a   Akbar, Noreen ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY   (Pakistan)

Author keywords

Jeffery fluid; Stagnation point

Indexed keywords

BOUNDARY CONDITIONS; FLOW FIELDS; FRICTION; HEAT FLUX; LINEAR TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; TEMPERATURE CONTROL;

CONVERGENT SERIES; JEFFERY FLUID; NONLINEAR DIFFERENTIAL EQUATION; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; OPTIMAL HOMOTOPY ANALYSIS METHODS; SERIES SOLUTIONS; SIMILARITY TRANSFORMATION; STAGNATION POINTS; TEMPERATURE PROFILES; VELOCITY PROFILES;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 84928475805     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/HFF-01-2014-0019     Document Type: Article

References (25)

1. Abbasbandy, S. (2010), "Numerical solutions of the integral equations: homotopy perturbation method and adomian's decomposition method", Mathematical and Computer Modelling, Vol. 173, pp. 493-500.
2. Aziz, A. (2009), "A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition", Commun. Nonlinear Sci. Numer. Simulat, Vol. 14 No. 4, pp. 1064-1068.
3. Aziz, A. (2010), "Hydrodynamic and thermal slip flow boundary layers over a flat plate with constant heat flux boundary condition", Commun. Nonlinear Sci. Numer. Simulat, Vol. 15 No. 4, pp. 573-580.
4. Chiam, T.C. (1994), "Stagnation-point flow towards a stretching plate", J. Phys. Soc. Jpn, Vol. 63 No. 6, pp. 2443-2444.
5. Ellahi, R. and Hameed, M. (2012), "Numerical analysis of steady non-Newtonian flows with heat transfer analysis, MHD and nonlinear slip effects", Int J Numer Meth Heat Fluid Flow, Vol. 22 No. 1, pp. 24-38.
6. Ellahi, R., Riaz, A. and Nadeem, S. (2013), "Series solutions of magnetohydrodynamic peristaltic flow of a jeffrey fluid in eccentric cylinders", Journal of Applied Mathematics & Information Sciences, Vol. 7 No. 4, pp. 1441-1449.
7. Hiemenz, K. (1911), "Die grenzschicht an einem in den gleichförmigen flüessigkeitsstrom eingetauchten geraden Kreiszylinder", Dinglers Polytechnisches Journal, pp. 326, 391-393.
8. Howarth, L. (1951), "CXLIV. The boundary layer in three dimensional flow-part II. The flow near a stagnation point", Philosophical Magazine Series 7, Vol. 42 No. 335, pp. 1433-1440.
9. Ishak, A. (2010), "Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition", Appl. Math. Comput, Vol. 217 No. 2, pp. 837-842.
10. Kimiaeifar, A. and Bagheri, G.H. (2011), "On the analytical solution of non-orthogonal stagnation point flow towards a stretching sheet", Int. J. Appl. Math, Vol. 41 No. 2.
11. Labropulua, F. and Pop, I. (2010), "Non-orthogonal stagnation-point flow towards a stretching surface in a non-Newtonian fluid with heat transfer", Int. J. Thermal Sci, Vol. 49 No. 2, pp. 1042-1050.
12. Liao, S.J. (2009), "Notes on the homotopy analysis method: some definitions and theorems", Comm. Nonlinear. Sci. Numer. Simulat, Vol. 14 No. 4, pp. 983-997.
13. Liao, S.J. (2010), "An optimal homotopy-analysis approach for strongly nonlinear differential equations", Comm. Nonlinear Sci Numer. Simulat, Vol. 15 No. 8, pp. 2003-2016.
14. Lok, Y.Y., Ishak, A. and Pop, I. (2011), "MHD stagnation-point flow towards a shrinking sheet", Int J Numer Meth Heat Fluid Flow, Vol. 21 No. 1, pp. 61-72.
15. Mahapatra, T.R. and Gupta, A.S. (2002), "Heat transfer in stagnation-point flow towards a stretching sheet", Heat Mass Tran, Vol. 38 No. 6, pp. 517-521.
16. Makinde, O.D. (2010a), "On MHD heat and mass transfer over a moving vertical plate with a convective surface boundary condition", Can. J. Chem. Eng, Vol. 88, pp. 983-990.
17. Makinde, O.D. (2010b), "Similarity solution of hydromagnetic heat and mass transfer over a vertical plate with a convective surface boundary condition", Int. J. Phys. Sci, Vol. 5 No. 6, pp. 700-710.
18. Makinde, O.D. and Aziz, A. (2010), "MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition", Int. J. Therm. Sci, Vol. 49 No. 9, pp. 1813-1820.
19. Makinde, O.D. and Olanrewaju, P.O. (2010), "Buoyancy effects on thermal boundary layer over a vertical plate with a convective surface boundary condition", Trans. ASME J. Fluid Eng, Vol. 132 No. 4, pp. 044502-044502.
20. Makinde, O.D., Chinyoka, T. and Rundora, L. (2011), "Unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions", Comput. Math. with Appl, Vol. 62 No. 9, pp. 3343-3352.
21. Mehmood, R., Nadeem, S. and Akbar, N.S. (2013), "Non-orthogonal stagnation point flow of a micropolar second grade fluid towards a stretching surface with heat transfer", J. Taiwan. Inst. Chem. Eng, Vol. 44 No. 4, pp. 586-595.
22. Nadeem, S. and Akbar, N.S. (2010), "Influence of heat and mass transfer on a peristaltic motion of a Jeffrey-six constant fluid in an annulus", Heat and Mass Transfer, Vol. 46 No. 5, pp. 485-493.
23. Nadeem, S. and Saleem, S. (2013), "Analytical treatment of unsteady mixed convection MHD flow on a rotating cone in a rotating frame", J. Taiwan. Inst. Chem. Eng, Vol. 44 No. 4, pp. 596-604.
24. Nadeem, S., Mehmood, R. and Akbar, N.S. (2013), "Optimized analytical solution for oblique flow of a casson nano fluid with convective boundary conditions", Int. J. Therm. Sci, Vol. 78 No. 3, pp. 90-100.
25. Nadeem, S., Riaz, A. and Ellahi, R. (2013), "Peristaltic flow of a Jeffery fluid in a rectangular duct having compliant walls", Chemical Industry & Chemical Engineering Quarterly, Vol. 19, pp. 399-409.