MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field

Applied Mathematics and Mechanics (English Edition)

Volumn 32, Issue 4, 2011, Pages 409-418

  Ali, F M ^a   Nazar, R ^b   Arifin, N M ^a   Pop, I ^c  

^a UNIVERSITY PUTRA MALAYSIA   (Malaysia)

^b UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

^c BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

boundary layer; heat transfer; induced magnetic field; magnetohydrodynamic (MHD) flow; numerical solution; stretching sheet

Indexed keywords

BOUNDARY LAYER EQUATIONS; INCOMPRESSIBLE VISCOUS FLUIDS; INDUCED MAGNETIC FIELDS; LOCAL NUSSELT NUMBER; MAGNETIC PARAMETERS; MAGNETOHYDRODYNAMIC (MHD) FLOW; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; NUMERICAL RESULTS; NUMERICAL SOLUTION; SHOOTING METHODS; SIMILARITY TRANSFORMATION; SKIN FRICTION COEFFICIENT; STAGNATION-POINT FLOW; STRETCHING SHEET; TEMPERATURE PROFILES;

BOUNDARY LAYERS; FRICTION; MAGNETIC FIELDS; NONLINEAR EQUATIONS; NUSSELT NUMBER; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

MAGNETOHYDRODYNAMICS;

EID: 79954518408     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-011-1426-6     Document Type: Article

References (22)

1. E. E. Tzirtzilakis N. G. Kafoussias 2003 Biomagnetic fluid flow over a stretching sheet with nonlinear temperature dependent magnetization Journal of Applied Mathematics and Mechanics (ZAMP) 54 551 565 10.1007/s00033-003-1100-5 1097.76539 1994024 (Pubitemid 36931511)
2. E. E. Tzirtzilakis G. B. Tanoudis 2003 Numerical study of biomagnetic fluid flow over a stretching sheet with heat transfer International Journal for Numerical Methods in Heat and Fluid Flow 13 7 830 848 10.1108/09615530310502055 1183.76940 2015497 (Pubitemid 37319918)
3. E. E. Tzirtzilakis N. G. Kafoussias 2010 Three-dimensional magnetic fluid boundary layer flow over a linearly stretching sheet ASME Journal of Heat Transfer 132 011702-1 011702-8 10.1115/1.3194765
4. M. Q. Al-Odat R. A. Damseh T. A. Al-Azab 2006 Thermal boundary layer on an exponentially stretching continuous surface in the presence of magnetic field effect International Journal of Applied Mechanics and Engineering 11 289 299 1195.76425
5. B. T. Li L. C. Zheng X. X. Zhang 2009 Multiple solutions of laminar flow in channels with a transverse magnetic field Chinese Physics Letters 26 094101-1 094101-3
6. K. Hiemenz 1911 Die grenzschicht an einem in den gleichförmigen flüssigkeitsstrom eingetauchten geraden kreiszylinder Polytechnic Journal 326 321 324
7. E. R. G. Eckert 1942 Die berechnung des warmeubergangs in der laminaren grenzschicht umstromter korpe VDI Forschungsheft 416 1 23 18066
8. T. R. Mahapatra A. S. Gupta 2001 Magnetohydrodynamic stagnation point flow towards a stretching sheet Acta Mechanica 152 191 196 10.1007/BF01176953 0992.76099 (Pubitemid 34043754)
9. T. R. Mahapatra A. S. Gupta 2002 Heat tansfer in stagnation-point flow towards a stretching sheet Heat and Mass Transfer 38 517 521 10.1007/s002310100215 (Pubitemid 34777515)
10. T. R. Mahapatra A. S. Gupta 2004 Stagnation-point flow of a viscoelastic fluid towards a stretching surface International Journal of Non-Linear Mechanics 39 811 820 10.1016/S0020-7462(03)00044-1 05138492
11. R. Nazar N. Amin D. Filip I. Pop 2004 Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet International Journal of Engineering Science 42 1241 1253 10.1016/j.ijengsci.2003.12.002 2074321
12. A. Ishak R. Nazar I. Pop 2006 Mixed convection boundary layers in the stagnation-point flow towards a stretching vertical sheet Meccanica 41 509 518 10.1007/s11012-006-0009-4 1163.76412
13. C. Y. Wang 2006 Stagnation slip flow and heat transfer on a moving plate Chemical Engineering Science 61 23 7668 7672 10.1016/j.ces.2006.09.003 (Pubitemid 44648038)
14. R. S. R. Gorla 1976 Non-Newtonian fluid at a stagnation point in the presence of a transverse magnetic field Mechanics Research Communications 3 1 6 10.1016/0093-6413(76)90074-4 0357.76005
15. J. Zhu L. C. Zheng X. X. Zhang 2009 Analytical solution to stagnation-point flow and heat transfer over a stretching sheet based on homotopy analysis Applied Mathematics and Mechanics (English Edition) 30 4 463 474 10.1007/s10483-009-0407-2 1165.74338 2513427
16. J. Zhu L. C. Zheng Z. G. Zhang 2010 Effects of slip condition on MHD stagnation-point flow over a power-law stretching sheet Applied Mathematics and Mechanics (English Edition) 31 4 439 448 10.1007/s10483-010-0404-z 05818413 2647988
17. M. Kumari H. S. Takhar G. Nath 1990 MHD flow and heat transfer over a stretching surface with prescribed wall temperature or heat flux Wärme und Stoffübertragung 25 6 331 336 10.1007/BF01811556
18. H. S. Takhar M. Kumari G. Nath 1993 Unsteady free convection flow under the influence of a magnetic field Archive of Applied Mechanics 63 313 321 10.1007/BF00793897 0794.76083 (Pubitemid 23704760)
19. Cowling, T. G. Magnetohydrodynamics, Interscience Publication, New York (1957)
20. T. V. Davies 1962 The magneto-hydrodynamic boundary layer in the two-dimensional steady flow past a semi-infinite plat plate I, uniform conditions at infinity Proceedings of the Royal Society A 273 496 508 10.1098/rspa.1963.0105
21. J. Hartmann 1937 Hg-dynamics I, theory of the laminar flow of an electrically conducting liquid in a homogenous magnetic field Matematisk-Fysiske Meddelelser 15 6 1 28
22. D. B. Meade B. S. Haran R. E. White 1996 The shooting technique for the solution of two-point boundary value problems Maple Technology 3 85 93