Boundary layer flow over a stretching sheet with variable thickness

Applied Mathematics and Computation

Volumn 218, Issue 13, 2012, Pages 7241-7252

  Fang, Tiegang ^a   Zhang, Ji ^a   Zhong, Yongfang ^b  

^a North Carolina State University   (United States)

^b BEHREND COLLEGE   (United States)

Author keywords

Analytical solution; Numerical solution; Power law velocity; Similarity solution; Stretching surface; Variable thickness

Indexed keywords

ANALYTICAL SOLUTIONS; NUMERICAL SOLUTION; POWER-LAW; SIMILARITY SOLUTION; STRETCHING SURFACE; VARIABLE THICKNESS;

BOUNDARY LAYERS; THICKNESS CONTROL;

VELOCITY;

EID: 84862829844     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.12.094     Document Type: Article

References (30)

1. T. Altan, S. Oh, and H. Gegel Metal Forming Fundamentals and Applications 1979 American Society of Metals Metals Park, OH
2. E.G. Fisher Extrusion of Plastics 1976 Wiley New York
3. Z. Tadmor, and I. Klein Engineering Principles of Plasticating Extrusion 1970 Polymer Science and Engineering Series New York, Van Norstrand Reinhold
4. B.C. Sakiadis Boundary-layer behavior on continuous solid surface: I. Boundary-layer equations for two-dimensional and axisymmetric flow J. AIChe. 7 1961 26 28
5. B.C. Sakiadis Boundary-layer behavior on continuous solid surface: II. Boundary-layer equations for two-dimensional and axisymmetric flow J. AIChe. 7 1961 221 225
6. F.K. Tsou, E.M. Sparrow, and R.J. Goldstain Flow and heat transfer in the boundary layer on a continuous moving surface Int. J. Heat Mass Transf. 10 1967 219 235
7. L.J. Crane Flow past a stretching plate Zeitschrift fur Angewandte Mathematik und Physik 21 4 1970 645
8. W.H.H. Banks Similarity solutions of the boundary-layer equations for a stretching wall J. Mec. Theor. Appl. 2 1983 375 392 (Pubitemid 14483527)
9. B.K. Dutta, P. Roy, and A.S. Gupta Temperature field in flow over a stretching sheet with uniform heat flux Int. Commun. Heat Mass Trans. 12 1985 89 94 (Pubitemid 16456605)
10. L.J. Grubka, and K.M. Bobba Heat transfer characteristics of a continuous stretching surface with variable temperature ASME J. Heat Transfer 107 1985 248 250 (Pubitemid 15475815)
11. C.K. Chen, and M.I. Char Heat transfer of a continuous stretching surface with suction and blowing J. Math. Anal. Appl. 135 1988 568 580
12. M.E. Ali On thermal boundary layer on a power law stretched surface with suction or injection Int. J. Heat Fluid Flow 16 1995 280 290
13. E.M.A. Elbashbeshy Heat transfer over a stretching surface with variable surface heat flux J. Phys. D: Appl. Phys. 31 1998 1951 1954 (Pubitemid 128576951)
14. E. Magyari, and B. Keller Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface J. Phys. D-Appl. Phys. 32 5 1999 577 585
15. E. Magyari, and B. Keller Exact solutions for self-similar boundary-layer flows induced by permeable stretching walls Euro. J. Mech. B-Fluids 19 1 2000 109 122
16. E. Magyari, M.E. Ali, and B. Keller Heat and mass transfer characteristics of the self-similar boundary-layer flows induced by continuous surfaces stretched with rapidly decreasing velocities Heat Mass Transf. 38 1-2 2001 65 74 (Pubitemid 34881890)
17. E. Magyari, I. Pop, and B. Keller New analytical solutions of a well-known boundary value problem in fluid mechanics Fluid Dyn. Res. 33 2003 313 317 (Pubitemid 37343244)
18. S.J. Liao A new branch of solutions of boundary-layer flows over a stretching flat plate Int. J. Heat Mass Transf. 49 12 2005 2529 2539
19. S.J. Liao A new branch of solution of boundary-layer flows over a permeable stretching plate Int. J. Non-Linear Mech. 42 2007 819 830
20. L.L. Lee, and Boundary layer over a thin needle Phys. Fluids 10 4 1967 822 828
21. T. Cebeci, and T.Y. Na Laminar free-convection heat transfer from a needle Phys. Fluids 12 2 1969 463 465
22. J.P. Narain, and M.S. Uberoi Combined forced and free-convection heat transfer from thin needles in a uniform stream Phys. Fluids 15 1972 1879 1882
23. J.P. Narain, and M.S. Uberoi Combined forced and free-convection over thin needles Int. J. Heat Mass Transf. 16 1973 1505 1511
24. J.L.S. Chen Mixed convection flow about slender bodies of revolution J. Heat Transf. 109 1987 1033 1036 (Pubitemid 18530833)
25. S.L. Lee, T.S. Chen, and B.F. Armaly Mixed convection along vertical cylinders and needles with uniform surface heat flux J. Heat Transf. 109 1987 711 716 (Pubitemid 17634195)
26. C.Y. Wang Mixed convection on a vertical needle with heated tip Phys. Fluids A 2 1990 622 625
27. S. Ahmad, N.M. Arifin, R. Nazar, and I. Pop Mixed convection boundary layer flow along vertical thin needles: assisting and opposing flows Int. Commun. Heat Mass Transf. 35 2008 157 162
28. A. Ishak, R. Nazar, and I. Pop Boundary layer flow over a continuously moving thin needle in a parallel free stream Chinese Phys. Lett. 24 10 2007 2895 2897
29. S. Ahmad, N.M. Arifin, R. Nazar, and I. Pop Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux Heat Mass Transf. 44 2008 473 479 (Pubitemid 350276133)
30. F.M. White Viscous Fluid Flow second edition 1991 McGraw-Hill New York