Boundary layer flow of an Oldroyd-B fluid with convective boundary conditions

Heat Transfer - Asian Research

Volumn 40, Issue 8, 2011, Pages 744-755

  Hayat, T ^a,b   Iqbal, Z ^a   Mustafa, M ^c   Obaidat, S ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b KING SAUD UNIVERSITY   (Saudi Arabia)

^c NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY   (Pakistan)

Author keywords

Convective boundary conditions; Oldroyd B fluid; Series solutions

Indexed keywords

ANALYTIC SOLUTION; BOUNDARY LAYER APPROXIMATION; HOMOTOPY ANALYSIS METHODS; LIMITING CASE; OLDROYD-B FLUID; SERIES SOLUTIONS; SPATIAL DOMAINS; SURFACE HEAT TRANSFER; TWO-DIMENSIONAL EQUATIONS;

BOUNDARY CONDITIONS; BOUNDARY LAYERS;

FLUIDS;

EID: 81255156398     PISSN: 10992871     EISSN: 15231496     Source Type: Journal    
DOI: 10.1002/htj.20381     Document Type: Article

References (33)

1. Fetecau C, Fetecau C. Starting solutions for some unsteady unidirectional flows of a second grade fluid. Int J Eng Sci 2005;43:781-789.
2. Hayat T, Naeem I, Ayub M, Siddiqui AM, Asghar S, Khalique CM. Exact solutions of second grade aligned MHD fluid with prescribed vorticity. Nonlinear Analysis: Real World Appl 2009;10:2117-2126.
3. Soh CW, Mureithi EW. Exact and numerical solutions of a fully developed generalized second-grade incompressible fluid with power-law temperature-dependent viscosity. Int J Non-Linear Mech 2006;41:271-280.
4. Tan WC, Masuoka T. Stokes problem for a second grade fluid in a porous half space with heated boundary. Int J Non-Linear Mech 2005;40:515-522.
5. Asghar S, Hayat T, Ariel PD. Unsteady Couette flows in a second grade fluid with variable material properties. Comm Non-Linear Sci Num Simul 2009;14:154-159.
6. Fetecau C, Zierep J. On a class of exact solutions of equations of motion of a second grade fluid. Acta Mech 2005;15:135-138.
7. Hayat T, Abbas Z, Sajid M. Heat and mass transfer analysis on the flows of a second grade fluid in the presence of chemical reaction. Phys Lett A 2008;372:2400-2408.
8. Hayat T, Nawaz M, Sajid M, Asghar S. The effect of thermal radiation on the flow of a second grade fluid. Comput Math Appl 2009;58:369-379.
9. Hayat T, Qasim M. Radiation and magnetic field effects on the unsteady mixed convection flow of a second grade fluid over a vertical stretching sheet. Int J Numer Meth Fluids DOI: 10.1002/fld.2285.
10. Hayat T, Nawaz M. Soret and Dufour effects on the mixed convection flow of a second grade fluid subject to Hall and ion-slip currents. Int J Numer Meth Fluids DOI:10.1002/fld.2405.
11. Zierep J, Bohning R, Fetecau C. Numerical results for the conservation of energy of Maxwell media for the Rayleigh-Stokes problem. Int J Nonlinear Mech 2009;44:862-864.
12. Tripathi D, Pandey SK, Das S. Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel. Appl Math Comput 2010;215:3645-3654.
13. Hayat T, Mustafa M, Mesloub S. Mixed convection boundary layer flow over a stretching surface filled with a Maxwell fluid in presence of Soret and Dufour's effect. Zeitschrift Fur Naturforschung 2010;65a:401-410.
14. Zheng L, Zhao F, Zhang X. Exact solutions for generalized Maxwell fluid flow due to oscillatory and constantly accelerating plate. Nonlinear Anal: RWA 2010;11:3744-3751.
15. Wang S, Tan WC. Stability analysis of double-diffusive convection of Maxwell fluid in a porous medium heated from below. Phys Lett A 2008;372:3046-3050.
16. Bhatnagar RK, Gupta G, Rajagopal KR. Flow of an Oldroyd-B fluid due to a stretching sheet in the presence of a free stream velocity. Int J Nonlinear Mech 1995;30:391-405.
17. Sajid M, Abbas Z, Javed T, Ali N. Boundary layer flow of an Oldroyd-B fluid in the region of a stagnation point over a stretching sheet. Can J Phys 2010;88:635-640.
18. Aziz A. A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. Comm Nonlinear Sci Num Sim 2009;14:1064-1068.
19. Magyari E. Comment on a similarity solution for laminar thermal boundary layer over a flat plate with convective surface boundary condition by A. Aziz. Comm Nonlinear Sci Num Simul 2009;14;1064-1068. Comm Nonlinear Sci Num Simul 2011;16:599-601.
20. Yao S, Fang T, Zhong Y. Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions. Comm Nonlinear Sci Num Simul 2011;16:752-760.
21. Ishak A. Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition. Appl Math Comput 2010;217:837-842.
22. Aziz A. Hydrodynamic and thermal slip flow boundary layers over a flat plate with constant heat flux boundary condition. Comm Nonlinear Sci Num Simul 2010;15:573-580.
23. Makinde OD, Olanrewaju PO. Buoyancy effects on thermal boundary layer over a vertical plate with a convective surface boundary condition. Trans ASME, J Fluid Eng 2010;132:044502-2.
24. Liao SJ. Notes on the homotopy analysis method: Some definitions and theorems. Comm Non-Linear Sci Num Simul 2009;14:983-997.
25. Liao SJ. On the relationship between the homotopy analysis method and Euler transform. Comm Nonlinear Sci Num Simul 2010;15:1421-1431.
26. Abbasbandy S, Parkes EJ. Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method. Int J Comp Math 2010;87:2303-2313.
27. Abbasbandy S, Shirzadi A. A new application of the homotopy analysis method: Solving the Sturm-Liouville problems. Comm Nonlinear Sci Num Simul 2011;16:112-126.
28. Bataineh AS, Noorani MSM, Hashim I. On a new reliable modification of homotopy analysis method. Comm Nonlinear Sci Num Simul 2009;14:409-423.
29. Hayat T, Qasim M, Abbas Z. Homotopy solution for unsteady three-dimensional MHD flow and mass transfer in a porous space. Comm Nonlinear Sci Num Simul 2010;15:2375-2387.
30. Hayat T, Mustafa M, Shehzad SA, Obaidat S. Melting heat transfer in the stagnation-point flow of an upper-convected Maxwell (UCM) fluid past a stretching sheet. Int J Num Meth Fluids doi:10.1002/fld.2503.
31. Hayat T, Mustafa M, Mesloub S. Influence of thermal radiation on the unsteady mixed convection flow of a Jeffrey fluid over a stretching sheet. Z Naturforsch 2010;65a:711-719.
32. Mahapatra TR, Gupta AS. Heat transfer in stagnation-point flow towards a stretching sheet. Heat Mass Transf 2002;38:517-521.
33. Sahoo B. Hiemenz flow and heat transfer of a third grade fluid. Comm Nonlinear Sci Num Simul 2009;14:811-826.