Analytical solution of heat transfer over an unsteady stretching permeable surface with prescribed wall temperature

Journal of the Taiwan Institute of Chemical Engineers

Volumn 41, Issue 2, 2010, Pages 169-177

  Ziabakhsh, Z ^a   Domairry, G ^a   Mozaffari, M ^a   Mahbobifar, M ^a  

^a BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Auxiliary parameter; Heat transfer; Homotopy analysis method (HAM); Numeric solution; Unsteady stretching permeable surface; Wall temperature

Indexed keywords

HOMOTOPY ANALYSIS METHOD (HAM); HOMOTOPY ANALYSIS METHODS; NUMERIC SOLUTIONS; PERMEABLE SURFACE; WALL TEMPERATURE; WALL TEMPERATURES;

BOUNDARY LAYER FLOW; HEAT EXCHANGERS; NUMERICAL ANALYSIS;

HEAT TRANSFER;

EID: 77249101501     PISSN: 18761070     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtice.2009.08.010     Document Type: Article

References (36)

1. Abbasbandy S. Homotopy Analysis Method For Heat Radiation Equations. International Communication Heat and Mass Transfer 34 (2007) 380
2. Ali A., and Mehmood A. Homotopy Analysis of Unsteady Boundary Layer Flow Adjacent to Permeable Stretching Surface in a Porous Medium. Communication in Non-linear Science and Numerical Simulation 13 (2008) 340
3. Ali A., Mehmood A., and Shah T. Heat Transfer Analysis of Unsteady Boundary Layer Flow By Homotopy Analysis Method. Communication in Non-linear Science and Numerical Simulation 13 (2008) 902
4. Andersson H.I., Aarseth J.B., and Dandapat B.S. Heat Transfer in a Liquid Film on an Unsteady Stretching Surface. International Journal of Heat and Mass Transfer 43 (2000) 69
5. Crane L.J. Flow Past a Stretching Plate. Zeitschrift für Angewandte Mathematic and Physics 21 (1970) 645
6. Devi C.D.S., Takhar H.S., and Nath G. Unsteady Mixed Convection Flow in Stagnation Region Adjacent to a Vertical Surface. Journal of Heat Mass Transfer 26 (1991) 71
7. Domairry G., and Nadim N. Assessment of Homotopy Analysis Method and Homotopy Perturbation Method in Non-Linear Heat Transfer Equation. International Communication Heat and Mass Transfer 35 (2008) 93
8. Grubka L.J., and Bobba K.M. Heat Transfer Characteristics of a Continuous, Stretching Surface with Variable Temperature. ASME Journal of Heat Transfer 107 (1985) 248
9. Gupta P.S., and Gupta A.S. Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing. Canadian Journal of Chimerical Engineering 55 (1977) 744
10. Hayat T., and Sajid M. An Analytic Solution for Thin Film Flow of a Forth Grade Fluid Down a Vertical Cylinder. Physics Letter A 361 (2007) 316
11. Hayat T., and Khan M. Homotopy Solutions for a Generalized Second Grade Fluid Past a Porous Plate. Nonlinear Dynamics 24 (2005) 395
12. Hayat T., Abbas Z., and Sajid M. MHD Boundary Layer Flow of an Upper-Convected Maxwell Fluid in a Porous Channel. The Computer Fluid Dynamic 20 (2006) 229
13. Hayat T., Abbas Z., Sajid M., and Asghar S. The Influence of Thermal Radiation on MHD Flow of a Second Grade Fluid. International Journal of Heat Mass Transfer 50 (2007) 931
14. Hayat T., Javed T., and Abbas Z. MHD Flow of a Micropolar Fluid near a Stagnation-Point towards a Non-Linear Stretching Surface. Nonlinear Analysis: Real World Applications 10 (2009) 1514
15. Hayat T., Abbas Z., and Sajid M. Heat and Mass Transfer Analysis on the Flow of a Second Grade Fluid in the Presence of Chemical Reaction. Physics Letters A 372 (2008) 2400
16. Ishak A., Nazar R., and Pop I. Mixed Convection on the Stagnation Point Flow toward a Vertical Continuously Stretching Sheet. ASME Journal of Heat Transfer 129 (2007) 1087
17. Ishak A., Nazar R., and Pop I. Heat Transfer over an Unsteady Stretching Permeable Surface with Prescribed Wall Temperature. Nonlinear Analysis: Real World Applications 10 (2009) 2909
18. Liao, S. J., "Proposed Homotopy Analysis Techniques for the Solution of Nonlinear Problems," Ph.D. dissertation, Shanghai Jiao Tong University (1992).
19. Liao S.J. Beyond Perturbation: Introduction To Homotopy Analysis Method (2003), Chapman & Hall/CRC Press, Boca Raton
20. Liao S.J. An Approximate Solution Technique not Depending on Small Parameters: a Special Example. International Journal of Non-Linear Mechanics 303 (1995) 371
21. Liao S.J. An Explicit, Totally Analytic Approximation of Blasius's Viscous Flow Problems. International Journal of Non-Linear Mechanics 34 (1999) 759
22. Liao S.J. On the Homotopy Analysis Method for Nonlinear Problems. Applied Mathematics and Computation 47 (2004) 499
23. Liao S.J. A New Branch of Solutions of Boundary-Layer Flows over an Impermeable Stretched Plate. International Journal of Heat Mass Transfer 48 (2005) 2529
24. Liao S.J. An Analytic Solution of Unsteady Boundary-Layer Flows Caused by an Impulsively Stretching Plate. Communications in Non-linear Science and Numerical Simulation 11 (2006) 326
25. Mehmood A., Ali A., and Shah T. Unsteady Boundary-Layer Viscous Flow Due to an Impulsively Started Porous Plate. Canadian Journal of Physics 86 (2008) 1079
26. Mehmood A., Ali A., Takhar H.S., and Shah T. Corrigendum: Unsteady Three-Dimensional MHD Boundary Layer Flow Due to the Impulsive Motion of the Stretching Sheet. Acta Mechanica 199 (2008) 241
27. Nadeem S. Thin Film Flow of a Third Grade Fluid With Variable Viscosity. Zeitschrift für Naturforschung (2009)
28. Nadeem S., and Ali M. Analytical Solutions for Pipe Flow of a Fourth Grade Fluid with Reynold and Vogel's Models of Viscosities. Communications in Nonlinear Science and Numerical Simulation 14 (2009) 2073
29. Nadeem S., and Awais M. Thin Film Flow of an Unsteady Shrinking Sheet through Porous Medium with Variable Viscosity. Physics Letters A 372 (2008) 4965
30. Nadeem S., Hayat T., Abbasbandy S., and Ali M. Effects of Partial Slip on a Fourth-grade Fluid with Variable Viscosity: An Analytic Solution. Nonlinear Analysis: Real World Applications (2009) doi:10.1016/j.nonrwa.2009.01.030
31. Nazar R., Amin N., and Pop I. Unsteady Boundary Layer Flow Due to a Stretching Surface in a Rotating Fluid. Mechanics Research Communications 31 (2004) 121
32. Williams J.C., and Rhyne T.B. Boundary Layer Development on a Wedge Impulsively Set into Motion. SIAM Journal of Applied Mathematics 38 (1980) 215
33. Ziabakhsh Z., and Domairry G. Solution of the Laminar Viscous Flow in a Semi-Porous Channel in the Presence of a Uniform Magnetic Field by Using the Homotopy Analysis Method. Communication in Non-linear Science and Numerical Simulation 14 (2009) 1284
34. Ziabakhsh Z., and Domairry G. Analytic Solution of Natural Convection Flow of a Non-Newtonian Fluid Between Two Vertical Flat Plates Using Homotopy Analysis Method. Communication in Non-linear Science and Numerical Simulation 14 (2009) 1868
35. Ziabakhsh Z., Domairry G., and Ghazizadeh H.R. Analytical Solution of the Stagnation-Point Flow in a Porous Medium by Using the Homotopy Analysis Method. Journal of the Taiwan Institute of Chemical Engineers 40 (2009) 91
36. Ziabakhsh Z., Domairry G., and Bararnia H. Analytical Solution of Non-Newtonian Micropolar Fluid Flow with Uniform Suction/Blowing and Heat Generation. Journal of the Taiwan Institute of Chemical Engineers 40 (2009) 443