A family of new solutions on the wall jet

European Journal of Mechanics, B/Fluids

Volumn 27, Issue 3, 2008, Pages 322-334

  Xu, Hang ^a   Liao, Shi Jun ^a   Wu, Guo Xiong ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Algebraic decay; Boundary layer; Injection suction; Similarity solution; Wall jet

Indexed keywords

BOUNDARY LAYERS; JETS; NUMERICAL METHODS; PROBLEM SOLVING; WALL FLOW;

ALGEBRAIC DECAY; INJECTION/SUCTION; SIMILARITY SOLUTION; WALL JETS;

FLUID MECHANICS;

EID: 41549147246     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2007.07.002     Document Type: Article

References (18)

1. Glauert M.B. The wall jet. J. Fluid Mech. 1 (1956) 625-643
2. Merkin J.H., and Needham D.J. A note on the wall-jet problem. J. Eng. Math. 20 (1986) 21-26
3. Needham D.J., and Merkin J.H. A note on the wall-jet problem, II. J. Eng. Math. 21 (1987) 17-22
4. Cohen J., Amitay M., and Bayly B.J. Laminar-turbulent transition of wall jet flows subjected to blowing and suction. Phys. Fluids 4 (1992) 283-289
5. Magyari E., and Keller B. The algebraically decaying wall jet. Eur. J. Mech. B Fluids 23 (2004) 601-605
6. S.J. Liao, The proposed homotopy analysis techniques for the solution of nonlinear problems, Ph.D. dissertation, Shanghai Jiao Tong University, Shanghai, 1992 (in English)
7. Liao S.J. Beyond Perturbation: Introduction to the Homotopy Analysis Method (2003), Chapman & Hall/CRC Press, Boca Raton
8. Liao S.J. On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. J. Fluid Mech. 488 (2003) 189-212
9. Liao S.J., and Campo A. Analytic solutions of the temperature distribution in Blasius viscous flow problems. J. Fluid Mech. 453 (2002) 411-425
10. Xu H. An explicit analytic solution for convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream. Int. J. Eng. Sci. 43 (2005) 859-874
11. Xu H., and Liao S.J. Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate. J. Non-Newton. Fluid Mech. 159 (2005) 46-55
12. Xu H., Liao S.J., and Pop I. Series solution of unsteady boundary layer flows of non-Newtonian fluids near a forward stagnation point. J. Non-Newton. Fluid Mech. 139 (2006) 31-43
13. Liao S.J., and Magyari E. Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones. Z. Angew. Math. Phys. 57 (2006) 777-792
14. Weidman P.D., Kubistchek D.G., and Brown D.G. Boundary-layer similarity flow driven by power-law shear. Acta Mech. 102 (1997) 199-215
15. Kuiken H.K. On boundary layers in fluid mechanics that decay algebraically along stretches of wall that are not vanishingly small. IMA J. Appl. Math. 27 (1981) 387-405
16. Kuiken H.K. A 'backward' free-convective boundary layer. Quart. J. Mech. Appl. Math. 34 (1981) 397-413
17. Magyari E., Keller B., and Pop I. Boundary-layer similarity flows driven by a power-law shear over a permeable plane surface. Acta Mech. 163 (2003) 139-146
18. Barenblatt G.I. Scaling laws for fully developed turbulent shear flows. Part 1. Basic hypotheses and analysis. J. Fluid Mech. 248 (1993) 513-520