Purely analytic solutions of magnetohydrodynamic swirling boundary layer flow over a porous rotating disk

Computers and Fluids

Volumn 39, Issue 5, 2010, Pages 793-799

  Turkyilmazoglu, M ^a  

^a HACETTEPE UNIVERSITY   (Turkey)

Author keywords

Analytic solution; Homotopy analysis method; Hydromagnetic effects; Rotating disk flow; Suction and blowing

Indexed keywords

ANALYTIC SOLUTION; ANALYTICAL EXPRESSIONS; ELECTRICALLY CONDUCTING FLUIDS; EXACT SOLUTION; EXPLICIT FORMULA; HOMOTOPY ANALYSIS METHODS; INJECTION VELOCITY; MEAN VELOCITY PROFILES; PHYSICAL SIGNIFICANCE; POROUS ROTATING DISKS; ROTATING DISK FLOW; THROUGH THE WALL; TRANSVERSE MAGNETIC FIELD;

BOUNDARY LAYER FLOW; DISKS (STRUCTURAL COMPONENTS); EXPONENTIAL FUNCTIONS; LAMINAR BOUNDARY LAYER; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; ROTATION; WHEELS;

ROTATING DISKS;

EID: 76949100381     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2009.12.007     Document Type: Article

References (32)

1. Ackroyd J.A.D. On the steady flow produced by a rotating disc wit either surface suction of injection. J Eng Phys 12 (1978) 207-220
2. Ariel P.D. On computation of mhd flow near a rotating-disk. Z Angew Math Mech 82 (2001) 235-246
3. Adomian G. A review of the decomposition method in applied mathematics. J Math Anal Appl 135 (1988) 501-544
4. Adomian G. Solving frontier problems of physics: the decomposition methods (1994), Kluwer Academic, Boston
5. He J.H., and Wu X.-H. Exp-function method for nonlinear wave equations. Chaos Solitons Fract 30 (1999) 700-705
6. He J.H. Variational iteration method - a kind of nonlinear analytical technique: some examples. Int J Non-Linear Mech 34 (1999) 699-708
7. Karmishin A.V., Zhukov A.I., and Kolosov V.G. Methods of dynamic calculation and testing for thin-walled structures (1990), Masinostroyenie, Moscow
8. Liao SJ. The proposed homotopy analysis technique for the solution of nonlinear problems. PhD thesis, Shanghai Jiao Tong University, 1992.
9. Liao S.J. A uniformly valid analytic solution of 2d viscous flow past a semi-infinite flat plate. J Fluid Mech 385 (1999) 101-128
10. Liao S.J., and Campo A. Analytic solutions of the temperature distribution in blasius viscous flow problems. J Fluid Mech 453 (2002) 415-421
11. Liao S.J. A non-iterative numerical approach for 2d viscous flow problems governed by the falkner-skan equation. Int J Numer Methods Fluids 35 (2001) 495-518
12. Liao S.J., and Cheung K.F. Homotopy analysis of nonlinear progressive waves in deep water. J Eng Math 45 (2003) 105-116
13. Liao S.J., and Pop I. Explicit analytic solution for similarity boundary layer equations. Int J Heat Mass Transfer 47 (2004) 75-85
14. Hayat T., Khan M., and Ayub M. On the explicit analytic solutions of an oldyrod6-constant fluid. Int J Eng Sci 42 (2004) 123-135
15. He J.H. Homotopy perturbation technique. Comput Meth Appl Mech Eng 178 (1999) 257-262
16. Sajid M., and Hayat T. Comparison of ham and hpm methods in nonlinear heat conduction and convection equations. Nonlinear Anal: Real World Appl 9 (2008) 2296-2301
17. Liang S., and Jefrey D.J. Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation. Commun Nonlinear Sci Numer Simulat 14 (2009) 4057-4064
18. Kármán T.V. Uber laminare und turbulente reibung. Zeitschnnift fur Angewantee Mathematik und Mechanik 1 (1921) 233-252
19. Cochran W.G. The flow due to a rotating disk. Proc Camb Phil Soc 30 (1934) 365-375
20. Prandtl L. Motion of fluids with very little viscosity. Tech Memo Natn Advis Comm Aeronaut Wash 452 (1904)
21. Stuart J.T. On the effects of uniform suction on the steady flow due to a rotating disk. Q J Mech Appl Math 7 (1954) 446-457
22. Sparrow E.M., and Gregg J.L. Heat transfer from a rotating disk to fluids of any Prandtl number. J Heat Transfer 81 (1959) 249-251
23. Kuiken H.K. The effect of normal blowing on the flow near a rotating disk of infinite extent. J Fluid Mech 47 (1971) 789-798
24. Katukani T. Hydromagnetic flow due to a rotating disk. J Phys Soc Jpn 17 (1962) 1496-1506
25. Sparrow E.M., and Cess R.D. Magnetodydrodynamic flow and heat transfer about a rotating disk. ASME J Appl Mech 29 (1962) 181-187
26. Thacker W.I., Kumar S.K., and Watson L.T. Magnetohydrodynamic flow and heat transfer about a rotating disk with suction and injection at the disk surface. Comput Fluids 16 (1988) 183-193
27. Watanabe T., and Oyama T. Magnetohydrodynamic boundary layer flow over a rotating disk. Zeitschnift f́ur Angewante Mathematik und Mechanik 71 (1992) 522-524
28. Cheng Y., Liao S.J., and explicit O.t. purely analytic solution of von karman swirling viscous flow. Commun Nonlinear Sci Numer Simulat 11 (2006) 83-93
29. He J.H. Comparison of homotopy perturbation method and homotopy analysis method. Appl Math Comput 156 (2004) 527-539
30. Liao S.J. Notes on the homotopy analysis method: some definitions and theorems. Commun Nonlinear Sci Numer Simulat 14 (2009) 983-997
31. Liao S.J. Beyond perturbation: introduction to homotopy analysis method (2003), Chapman & Hall/CRC
32. Turkyilmazoglu M. Linear absolute and convective instabilities of some two- and three dimensional flows. PhD thesis, University of Manchester, 1998.