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Transient compressible boundary layer on a wedge impulsively set into motion

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Summary

The development of a compressible boundary layer over a wedge impulsively set into motion is studied in this paper. The initial motion is independent of the leading edge effect and the solutions are those of a Rayleigh-type problem. The motion tends to an ultimate steady state of Falkner-Skan type. The equations governing the transient boundary layer from the initial steady state to the terminal steady-state change their character after certain time due to the leading edge effect and thereafter solution depends on both the end conditions. Numerical solutions are obtained through the second-order accuracy upwind scheme. The effects of the Falkner-Skan parameter and the surface temperature on the transient flow and heat transfer are also studied. It has been found that the flow separation does not occur form≧−0.0707 when θ w = 1.5 (hot wall), andm≧−0.118 when θ 0.5 (cold wall).

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References

  1. Stewartson, K.: On the impulsive motion of a flat plate in a viscous fluid. Quart. J. Mech. Appl. Math. 4 (1951) 182–192

    Google Scholar 

  2. Schlichting, H.: Boundary layer theory. New York: McGraw-Hill 1968

    Google Scholar 

  3. Dennis, S. C. R.: The motion of a viscous fluid past an impulsively started semi-infinite flat plate. J. Ins. Math. Appl. 10 (1972) 105–117

    Google Scholar 

  4. Hall, M. G.: The boundary layer over an impulsively started flat plate. Proc. Roy. Soc. London A. 316 (1969) 401–414

    Google Scholar 

  5. Wang, J. C. T. On the numerical methods for the singular parabolic equations in fluid dynamics. J. Comp. Phys. 52 (1983) 464–479

    Google Scholar 

  6. Wang, J. C. T. Renewed studies on the unsteady boundary layers governed by singular parabolic equations. J. Fluid Mech. 52 (1985) 413–427

    Google Scholar 

  7. Van de Vooren, A. I.;Botta, E. F. E.;Stout, J.: The boundary layer on a disk at rest in a rotating fluid. Q. J. Mech. Appl. Math. 40 (1987) 15–32

    Google Scholar 

  8. Smith, S. H. The impulsive motion of a wedge in a viscous fluid. ZAMP 18 (1967) 508–522

    Google Scholar 

  9. Nanbu, K.: Unsteady Falkner-Skan flow. ZAMP 22 (1971) 1167–1172

    Google Scholar 

  10. Williams, J. C.;Rhyne, T. B.: Boundary layer development on a wedge impulsively set into motion. SIAM J. Appl. Math. 38 (1980) 215–224

    Google Scholar 

  11. Varga, R. S. Matrix iterative analysis. New York: Prentice-Hall 1962

    Google Scholar 

  12. Williams III, J. C.;Johnson, W. D. Semisimilar solutions to unsteady boundary flows including separation. AIAA J. 12 (1974) 1388–1393

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 721 302, Kharagpur, India

    S. Bhattacharyya & A. S. Gupta

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  1. S. Bhattacharyya
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  2. A. S. Gupta
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Bhattacharyya, S., Gupta, A.S. Transient compressible boundary layer on a wedge impulsively set into motion. Arch. Appl. Mech. 66, 336–342 (1996). https://doi.org/10.1007/BF00795250

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  • DOI: https://doi.org/10.1007/BF00795250

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