Flow of power-law fluid over a stretching surface: A Lie group analysis

International Journal of Non-Linear Mechanics

Volumn 48, Issue , 2013, Pages 65-71

  Jalil, Mudassar ^a,b   Asghar, Saleem ^b,c  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b COMSATS Institute of Information Technology ^*  (Pakistan)

^c KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

Author keywords

Boundary layer flow; Exact solution; Exponentially stretching surface; Lie group analysis; Power law fluid

Indexed keywords

EXACT ANALYTICAL SOLUTIONS; EXACT SOLUTION; INFINITESIMAL GENERATOR; LIE GROUP ANALYSIS; NUMERICAL SOLUTION; PERTURBATION METHOD; POWER LAW FLUID; POWER LAW INDEX; POWER-LAW; SHEAR THICKENING FLUID; SHEAR THINNING FLUIDS; SIMILARITY TRANSFORMATION; STRETCHING SURFACE; STRETCHING VELOCITY; SURFACE CONDITIONS;

BOUNDARY LAYER FLOW; MATHEMATICAL TECHNIQUES; SHEAR FLOW; SHEAR THINNING;

NON NEWTONIAN FLOW;

EID: 84865856856     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2012.07.004     Document Type: Article

References (30)

1. B.C. Sakiadis Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow AIChE Journal 7 1961 26 28
2. B.C. Sakiadis Boundary-layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface AIChE Journal 7 1961 221 225
3. L.J. Crane Flow past a stretching plate Zeitschrift für Angewandte Mathematik und Physik 21 1970 645 647
4. V.G. Fox, L.E. Erickson, and L.T. Fan Methods for solving the boundary layer equations for moving continuous flat surfaces with suction and injection AIChE Journal 14 1969 726 736
5. P.S. Gupta, and A.S. Gupta Heat and mass transfer on a stretching sheet with suction or blowing Canadian Journal of Chemical Engineering 55 1977 744 746
6. W.H.H. Banks Similarity solutions of the boundary-layer equations for a stretching wall Journal de Mécanique Théorique et Appliquée 2 1983 375 392 (Pubitemid 14483527)
7. M.E. Ali The effect of suction or injection on the laminar boundary layer development over a stretched surface Journal of Engineering Science King Saud University 8 1996 43 58
8. E. Magyari, and B. Keller Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface Journal of Physics D Applied Physics 32 1999 577 585
9. E.M.A. Elbashbeshy Heat transfer over an exponentially stretching continuous surface with suction Archives of Mechanics 53 2001 643 651 (Pubitemid 33814501)
10. K.R. Rajagopal, T.Y. Na, and A.S. Gupta Flow of a viscoelastic fluid over a stretching sheet Rheologica Acta 23 1984 213 215
11. S.K. Khan Boundary layer viscoelastic fluid flow over an exponentially stretching sheet International Journal of. Applied Mechanics and Engineering 2 2006 321 335
12. M. Pakdemirli Boundary layer flow of power-law fluids past arbitrary profiles IMA Journal of Applied Mathematics 50 1993 133 148 (Pubitemid 23704803)
13. M. Pakdemirli Similarity analysis of boundary layer equations of a class of non-Newtonian fluids International Journal of Non-Linear Mechanics 29 1994 187 196
14. I.A. Hassanien Flow and heat transfer on a continuous flat surface moving in a parallel free stream of power-law fluid Applied Mathematical Modelling 20 1996 779 784
15. L. Zheng, X. Zhang, and J. He Suitable heat transfer model for self-similar laminar boundary layer in power law fluids Journal of Thermal Science 13 2004 150 154
16. H.I. Andersson, and V. Kumaran On sheet-driven motion of power-law fluids International Journal of Non-Linear Mechanics 41 2006 1228 1234 (Pubitemid 46400655)
17. S. Friedlander, and M.M. Vishik Dynamo theory, vorticity generation, and exponential stretching Chaos 1 1991 198 205
18. G.W. Bluman, and S. Kumei Symmetries and Differential Equations Applied Mathematical Sciences vol. 81 1989 Springer New York, NY, USA
19. N.H. Ibragimov CRC Handbook of Lie Group Analysis of Differential Equations vol. 2 1995 CRC Press Boca Raton, Florida, USA
20. P.J. Olver Application of Lie Groups to Differential Equations 1989 Springer New York, NY, USA
21. L.V. Ovsiannikov Group Analysis of Differential Equations 1982 Academic Press New York, NY, USA
22. M. Yürüsoy, M. Pakdemirli, and Ö.F. Noyan Lie group analysis of creeping flow of a second grade fluid International Journal of Non-Linear Mechanics 36 2001 955 960 (Pubitemid 32331222)
23. M. Pakdemirli, Y. Aksoy, M. Yürüsoy, and C.M. Khalique Symmetries of boundary layer equations of power-law fluids of second grade Acta Mechanica Sinica 24 2008 661 670
24. M. Jalil, S. Asghar, and M. Mushtaq Lie group analysis of mixed convection flow with mass transfer over a stretching surface with suction or injection Mathematical Problems in Engineering 2010 10.1155/2010/264901
25. M.A.A. Hamad, and M. Ferdows Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: a Lie group analysis Communications in Non-linear Science and Numerical Simulation 2011 10.1016/j.cnsns.2011.02.024
26. R.B. Bird, W.E. Stewart, and E.N. Lightfoot Transport Phenomena 1960 John Wiley New York
27. M.S. Abel, P.S. Datti, and N. Mahesha Flow and heat transfer in a power-law fluid over a stretching sheet with variable thermal conductivity and non-uniform heat source International Journal of Heat and Mass Transfer 52 2009 2902 2913
28. T. Cebeci, and P. Bradshaw Physical and Computational Aspects of Convective Heat Transfer 1984 Springer-Verlag New York
29. M. Sajid, and T. Hayat Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet International Communications in Heat and Mass Transfer 35 2008 347 356
30. C.C. Lin, and L.A. Segel Mathematics Applied to Deterministic Problems in Natural Science 1988 SIAM New York