MHD Viscous flow and heat transfer induced by a permeable shrinking sheet with prescribed surface heat flux

WSEAS Transactions on Mathematics

Volumn 9, Issue 5, 2010, Pages 365-375

  Ali, Fadzilah M D ^a   Nazar, Roslinda ^b   Arifin, Norihan M D ^a  

^a UNIVERSITY PUTRA MALAYSIA   (Malaysia)

^b UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

Author keywords

Boundary layer; Heat transfer; Magnetohydrodynamic; Shrinking sheet; Suction; Surface heat flux

Indexed keywords

APPLIED MAGNETIC FIELDS; AXISYMMETRIC; BOUNDARY-LAYER SEPARATION; DUAL SOLUTIONS; FINITE-DIFFERENCE SCHEME; HARTMANN NUMBERS; INDUCED MAGNETIC FIELDS; KELLER-BOX METHOD; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; SHRINKING SHEET; SKIN FRICTION COEFFICIENT; SUCTION; SUCTION PARAMETER; SUCTION SURFACES; SURFACE HEAT FLUXES; TEMPERATURE PROFILES; VISCOUS FLUIDS; WALL TEMPERATURES;

BOUNDARY LAYERS; FRICTION; HEAT EXCHANGERS; HEAT TRANSFER; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; SHRINKAGE; TWO DIMENSIONAL; VISCOUS FLOW;

HEAT FLUX;

EID: 77954770350     PISSN: 11092769     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. H. Blasius, Grenzschichten in Flüssigkeiten mit kleiner Reibung, Zeitschrift für Mathematik Physik, Vol.56, 1908, pp.1-37.
2. BC. Sakiadis, Boundary layer behavior on continuous solid surfaces. II. Boundary layer on a continuous flat surface, AIChEJ, Vol.7, 1961, pp. 221-225.
3. LJ. Crane, Flow past a stretching plate, Journal of Applied Mathematics and Physics (ZAMP), Vol.21, 1970, pp. 645-647.
4. PS. Gupta, AS. Gupta, Heat and mass transfer on a stretching sheet with suction and blowing, Canadian Journal of Chemical Engineering, Vol.55, 1977, pp. 744-746.
5. E. Magyari, B. Keller, B, Exact solutions for self-similar boundary-layer flows induced by permeable stretching walls, European Journal of Mechanics B-Fluids, Vol.19, 2000, pp. 109-122
6. CY. Cheng, Magnetic field effects on coupled heat and mass transfer by mixed convection along a vertical surface embedded in a porous medium by integral methods, Proceedings of the 4th WSEAS International Conference on Heat and Mass Transfer, Gold Coast, Queensland, Australia, January, 2007, pp. 86-91.
7. T. Al-Azab, Unsteady mixed convection heat and mass transfer past an infinite porous plate with thermophoresis effect, WSEAS Transactions on Heat and Mass Transfer, Vol.4, Issue 2, 2009, pp. 23-33.
8. Z. Boricic, D. Nikodijevic, B. Blagojevic, Z. Stamenkovic, Universal solutions of unsteady two-dimensional MHD boundary layer on the body with temperature gradient along surface, WSEAS Transactions on Fluid Mechanics, Vol.4, Issue 3, 2009, pp. 97-106.
9. M. Narahari, Natural convection of unsteady Couette flow between two vertical parallel plates in the presence of constant heat flux and radiation, Proceedings of the 11th WSEAS International Conference on Mathematical and Computational Methods in Science and Engineering, Morgan State University, Baltimore, USA, November, 2009, pp. 73-78.
10. JH. Merkin, T. Mahmood, Mixed convection boundary layer similarity solutions: prescribed wall heat flux, Journal of Applied Mathematics and Physics (ZAMP), Vol.40, 1989, pp. 51-68.
11. N. Ramachandran, TS. Chen, BF. Armaly, Mixed convection in stagnation flows adjacent to vertical surfaces, Journal of Heat Transfer, Vol.110, 1988, pp. 373-377.
12. A. Ishak, Mixed convection boundary layer flow over a vertical cylinder with prescribed surface heat flux, Journal of Physics A: Mathematical and Theoretical, Vol.42, 2009, pp. 195501.
13. N. Bachok, A. Ishak, The effects of suction and injection on a moving flat plate in a parallel stream with prescribed surface heat flux, Proceedings of the 9th WSEAS International Conference on Applications of Computer Engineering, Penang, Malaysia, March, 2010, pp. 111-118.
14. T. Fang, Boundary layer flow over a shrinking sheet with power-law velocity, International Journal of Heat and Mass Transfer, Vol.51, 2008, pp. 5838-5843.
15. CY. Wang, Stagnation flow towards a shrinking sheet, International Journal of Non-Linear Mechanics, Vol.43, 2008, pp. 377-382.
16. M. Rahimpour, SR. Mohebpour, A. Kimiaeifar, GH. Bagheri, On the analytical solution of axisymmetric stagnation flow towards a shrinking sheet, International Journal of Mechanics, Vol.2, No.1, 2008, pp. 1-10.
17. TG. Fang, J. Zhang J, S-S Yao, Viscous flow over an unsteady shrinking sheet with mass transfer, Chinese Physics Letters, Vol.26, 2009, pp. 014703-1-014703-4.
18. FM. Ali, R. Nazar, NM. Arifin, I. Pop, Unsteady shrinking sheet with mass transfer in a rotating fluid, International Journal for Numerical Methods in Fluids, DOI: 10.1002/fld.2325, 2010 (in press)
19. TG. Fang, J. Zhang, Thermal boundary layers over a shrinking sheet: an analytical solution, Acta Mechanica, Vol.209, 2010, pp. 325-343.
20. M. Miklavcic, CY. Wang, Viscous flow due to a shrinking sheet, Quarterly of Applied Mathematics, Vol.64, 2006, pp. 283-290.
21. M. Sajid, T. Hayat, The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet, Chaos, Solitons and Fractals, Vol.39, 2009, pp. 1317-1323.
22. T. Fang, J. Zhang , Closed-form exact solutions of MHD viscous flow over a shrinking sheet, Communication in Nonlinear Science and Numerical Simulation, Vol.14, 2009, pp. 2853-2857.
23. M. Sajid, T. Javed, T. Hayat, MHD rotating flow of a viscous fluid over a shrinking surface. Nonlinear Dynamic, Vol.51, 2008, pp. 259-265.
24. T. Hayat, Z. Abbas, T. Javed, M. Sajid, Threedimensional rotating flow induced by a shrinking sheet for suction. Chaos, Solitons and Fractals, Vol.39, 2009, pp. 1615-1626.
25. YY. Lok, A. Ishak, I. Pop, MHD stagnationpoint flow towards a shrinking sheet, International Journal for Numerical Methods in Heat Fluid Flow, 2009, online.
26. HB. Keller, T. Cebeci, Accurate numerical methods for boundary layer flows. II: Twodimensional turbulent flows, AIAA Journal, vol.10, 1972, pp. 1193-1199.
27. TY. Na, Computational Methods in Engineering Boundary Value Problem, Academic Press, 1979.
28. T. Cebeci, P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer, 1984.
29. T. Cebeci, J. Cousteix, Modeling and Computing of Boundary-Layer Flows: Laminar, Turbulent and Transitional Boundary Layers in Incompressible and Compressible Flows, Springer, 2005.