Stagnation-point flow of Maxwell fluid with magnetic field and radiation effects

Heat Transfer - Asian Research

Volumn 41, Issue 1, 2012, Pages 23-32

  Hayat, T ^a,b   Rafique, Ansa ^a   Malik, M Y ^a   Obaidat, S ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Heat transfer; Maxwell fluid; MHD; Stagnation point flow

Indexed keywords

APPLIED MAGNETIC FIELDS; ENERGY EQUATION; HOMOTOPY ANALYSIS METHODS; LOCAL NUSSELT NUMBER; MAXWELL FLUID; NONLINEAR PROBLEMS; SERIES SOLUTIONS; SKIN FRICTION COEFFICIENT; STAGNATION POINT FLOW; STRETCHING SHEET;

FLUIDS; FRICTION; HEAT TRANSFER; MAGNETIC FIELDS; MAXWELL EQUATIONS; NUSSELT NUMBER; RADIATION EFFECTS;

MAGNETOHYDRODYNAMICS;

EID: 83755185652     PISSN: 10992871     EISSN: 15231496     Source Type: Journal    
DOI: 10.1002/htj.20385     Document Type: Article

References (26)

1. Fetecau C, Vieru D, Mahmood A, Fetecau C. On the energetic balance for the flow of a Maxwell fluid due to a constantly accelerating plate. Acta Mech 2009;203:89-96.
2. Fetecau C, Awan AU, Fetecau C. Taylor-Couette flow of an Oldroyd-B fluid in a circular cylinder subject to a time-dependent rotation. Bull Math Soc Sci Math Roumanie Tome 2009;52:117-128.
3. Vieru D, Fetecau C, Fetecau C. Exact solutions for the flow of an Oldroyd-B fluid due to an infinite plate. Z Angew Mech 2008;59:834-847.
4. Wang S, Tan W. Stability analysis of soret-driven double-diffusive convection of Maxwell fluid in a porous medium. Int J Heat Fluid Flow 2010. (in press).
5. 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.
6. Tan WC, Masuoka T. Stokes' first problem for an Oldroyd-B fluid in a porous half space. Phys Fluids 2005;17:023101-023107.
7. Fetecau C, Fetecau C. The first problem of Stokes for an Oldroyd-B fluid. Int J Nonlinear Mech 2003;38:1539-1544.
8. Hayat T, Siddiqui AM, Asghar S. Some simple flows on Oldroyd-B fluid. Int J Eng Sci 2001;39:135-147.
9. Hayat T, Fetecau C, Sajid M. On MHD transient flow of Maxwell fluid in a porous medium and rotating frame. Phys Lett A 2008;372:1639-1644.
10. Husain M, Hayat T, Fetecau C, Asghar S. On accelerated flows of an Oldroyd-B fluid in a porous medium. Nonlinear Analysis, Real World Appl 2008;9:1394-1408.
11. Hayat T, Nadeem S, Asghar S. Hydromagnetic Couette flow of an Oldroyd-B fluid in a rotating system. Int J Eng Sci 2004;42:6578.
12. Yang D, Zhu KQ. Start up flow of a viscoelastic fluid in a pipe with fractional Maxwell's model. doi:10.1016/j.camwa.2008.09.052.
13. Yin Y, Zhu KQ. Oscillating flow of a viscoelastic fluid in a pipe with the fractional Maxwell model. Appl Math Comput 2006;173:231-242.
14. Zheng LC, Wang KN, Gao YT. Unsteady flow and heat transfer of a generalized Maxwell fluid due to a hyperbolic sine accelerating plate. Comp Math Appl 2010. (in press).
15. Jia JH, Du JY, Wang Y, Hau HX. Investigation of the wall friction in the pipe induced by the oscillating flow. 2008;222:387-392.
16. Liao SJ. Beyond perturbation: Introduction to homotopy analysis method. Chapman and Hall, CRC Press; 2003.
17. Liao SJ. Notes on the homotopy analysis method: some definitions and theorems. Commun Nonlinear Sci Numer Simul 2009;14:983-997.
18. Abbasbandy S. The application of homotopy analysis method to nonlinear equation arising in heat transfer. Phys Lett A 2006;360:109-113.
19. Abbasbandy S. Homotopy analysis method for heat radiation equations. Int Commun Heat Mass Transf 2007;34:380-387.
20. Hayat T, Abbas Z. Channel flow of a Maxwell fluid with chemical reaction. Z Angew Math Phys 2008;59:124-144.
21. Hayat T, Awais M. Three-dimensional flow of upper-convected Maxwell (UCM) fluid. doi: 10.1002/fld.2289.
22. Hayat T, Abbas Z, Sajid M. HD Stagnation-point flow of an upper-convected Maxwell fluids over a stretching surface. Chaos Solitons Fractals 2009;39:840-848.
23. 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:10.002/fld.2285.
24. Ishak A, Jafar K, Nazar R, Pop I. MHD stagnation point flow towards a stretching sheet. Physica A 2009;388:3377-3383.
25. Ishak A, Nazar R, Bachok N, Pop I. MHD mixed convection flow near the stagnation-point on a vertical permeable surface. Physica A 2010;389:40-46.
26. Malik MY, Hussain A, Nadeem S, Hayat T. Flow of a third grade fluid between coaxial cylinders with variable viscosity. Z Naturforsch 2009;64a:588-596.