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The jet over a stretching wall with suction or injection

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Abstract

The steady laminar wall jet over a stretching surface in the presence of lateral suction or injection is considered. Similarity solutions absent in previous publications are found in some new ranges of parameters in the governing equation. The accuracy and reliability of the solutions have been checked through detailed convergence study and compared with the solutions from the numerical method and analytic method, and excellent agreement has been found. This gives the strongest evidence that those solutions are indeed new ones.

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References

  1. Cohen J, Amitay M, Bayly B J. Laminar-turbulent transition of wall jet flows subjected to blowing and suction. Phys Fluids A, 1992, 4: 283–289

    Article  ADS  MATH  Google Scholar 

  2. Glauert M B. The wall jet. J Fliud Mech, 1956, 1: 625–643

    Article  MathSciNet  ADS  Google Scholar 

  3. Merkin J H, Needham D J. A note on the wall-jet problem. J Eng Math, 1986, 20: 21–26

    Article  Google Scholar 

  4. Needham D J, Merkin J H. A note on the wall-jet problem II. J Eng Math, 1987, 21: 17–22

    Article  Google Scholar 

  5. Weidman P D, Kubischek D G, Brown S N. Boundary layer similarity flow driven by power-law shear. Acta Mech, 1997, 120: 199–215

    Article  MATH  Google Scholar 

  6. Magyari E, Keller B. Boundary-layer similarity flows driven by a powerlaw shear over a permeable plane surface. Acta Mech, 2003, 163: 139–146

    Article  MATH  Google Scholar 

  7. Magyari E, Keller B. The algebraically decaying wall jet. Eur J Mech B-Fluids, 2004, 23: 601–605

    Article  MATH  Google Scholar 

  8. Xu H, Liao S J, Wu G X. a family of new solutions on the wall jet. Eur J Mech B-Fluids, 2008, 27: 322–334

    Article  MathSciNet  MATH  Google Scholar 

  9. Guerra D R S, Su J, Freire A P S. The near wall behavior of an impinging jet. Int J Heat Mass Transfer, 2005, 48: 2829–2840

    Article  Google Scholar 

  10. Pantokratoras A. The nonsimilar laminar wall jet along a moving wall, in a free stream and in a free stream/moving wall. Appl Math Model, 2011, 35: 471–481

    Article  MathSciNet  MATH  Google Scholar 

  11. Fang T, Lee C F. Three-dimensional wall-bounded laminar boundary layer with span-wise cross free stream and moving boundary. ActaMech, 2009, 204: 235–248

    MATH  Google Scholar 

  12. Eriksson J G, Karlsson R I, Persson J, An experimental study of a two-dimensional plane turbulent wall jet. Exp Fluids, 1988, 25: 50–60

    Article  Google Scholar 

  13. Katz Y, Horev E, Wygnanski I. The forced turbulent wall jet. J Fluid Mech, 1992, 242: 577–609

    Article  ADS  Google Scholar 

  14. Bakke P. An experimental investigation of a wall jet. J Fluid Mech, 1957, 2: 467–472

    Article  ADS  Google Scholar 

  15. Liao S J. Beyond Perturbation: Introduction to Homotopy Analysis Method. Boca Raton: Chapman & Hall/CRC Press, 2003

    Book  Google Scholar 

  16. Cheng J, Liao S J, Mohapatra R N, et al. Series solutions of stagnation slip flow and heat transfer by the homotopy analysis method. Sci China Ser G-Phys Mech Astron, 2009, 52: 893–899

    Article  ADS  Google Scholar 

  17. Jiao X Y, Gao Y, Lou S Y. Approximate homotopy symmetry method: Homotopy series solutions to the sixth-order Boussinesq equation. Sci China Ser G-Phys Mech Astron, 2009, 52: 1169–1178

    Article  ADS  Google Scholar 

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Correspondence to Hang Xu or GuoXiong Wu.

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Xu, H., Wu, G. The jet over a stretching wall with suction or injection. Sci. China Phys. Mech. Astron. 54, 502–510 (2011). https://doi.org/10.1007/s11433-010-4234-4

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  • DOI: https://doi.org/10.1007/s11433-010-4234-4

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