Astrophysics and Space Science

, Volume 60, Issue 1, pp 125–171 | Cite as

Free convection effects on the unsteady laminar boundary-layer flow past a porous limiting surface with uniform suction in stellar atmospheres

  • G. C. Pande
  • G. A. Georgantopoulos
  • C. L. Goudas


Unsteady two-dimensional free convection flow of a viscous fluid (e.g., of a stellar atmosphere) past a porous limiting surface (e.g., of a star) through which suction with uniform velocity occurs is considered when the free-stream velocity and the temperature of the limiting surface are arbitrary functions of time. General solution of the equations governing the flow is obtained in closed form with the help of two-sided Laplace transform technique under the assumption that there exists a mean steady flow to which is superimposed the unsteady flow. Further, in order to demonstrate the applications of the results of the general theory, four particular cases have been considered by prescribing physically acceptable different time-dependent forms to the temperature of the limiting surface and to the free-stream velocity. The results thus obtained for these four cases are discussed quantitatively.


Arbitrary Function Steady Flow Viscous Fluid Free Convection Unsteady Flow 
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  1. Ballabh, R. and Pande, G. C.: 1970,Bull. Math. (Roumania) 14 (62), 259.Google Scholar
  2. Ballabh, R. and Singh, D.: 1967,Ganita 18, 39.Google Scholar
  3. Goldstein, R. J. and Briggs, D. G.: 1964,J. Heat Transfer (Trans. ASME) 86C, 296.Google Scholar
  4. Hashimoto, H.: 1957,J. Phys. Soc. Japan 12, 68.Google Scholar
  5. Holman, J. P.: 1972,Heat Transfer, McGraw-Hill Book Company.Google Scholar
  6. Houghton, E. L. and Boswell, R. P.: 1969,Further Aerodynamics for Engineering Students, Edward Arnold (Publishers) Ltd., London.Google Scholar
  7. Illingworth, C. R.: 1950,Proc. Camb. Phil. Soc. 46, 603.Google Scholar
  8. Ingham, D. B.: 1977,J. Appl. Mech. (Trans. ASME) 44E, 396.Google Scholar
  9. Jahnke, E., Emde, F., and Lösch, F.: 1960,Tables of Higher Functions, McGraw-Hill Book Company.Google Scholar
  10. Jakob, M. and Hawkins, G. A.: 1957,Elements of Heat Transfer, John Wiley & Sons, Inc., p. 148.Google Scholar
  11. Kameswararao, A.: 1961,Appl. Sci. Res. A10, 141.Google Scholar
  12. Lal, K.: 1969,J. Appl. Mech. (Trans. ASME) 36E, 327.Google Scholar
  13. Lighthill, M. J.: 1950,Proc. Roy. Soc. 202A 359.Google Scholar
  14. Lighthill M. J.: 1954,Proc. Roy. Soc. 224A, 1.Google Scholar
  15. Menold, E. R. and Yang, K. T.: 1962,J. Appl. Mech. (Trans. ASME) 29E, 124.Google Scholar
  16. Messiha, S. A. S.: 1965,Proc. Math. Phys. Soc. of U.A.R. 29, 93.Google Scholar
  17. Messiha, S. A. S.: 1966,Proc. Math. Phys. Soc. of U.A.R. 30, 9.Google Scholar
  18. Nanda, R. S. and Sharma, V. P.: 1962,J. Phys. Soc. Japan 17, 1651.Google Scholar
  19. Pande, G. C.: 1975,Ind. J. Pure Appl. Math. 6, 819.Google Scholar
  20. Pop, I.: 1969a,Rozprawy Inżynierskie (Poland) 17, 173.Google Scholar
  21. Pop, I.: 1969b,ZAMP 20, 560.Google Scholar
  22. Pop, I.: 1971,Arch. Mech. Stosowanej 23, 303.Google Scholar
  23. Proctor, M. R. E.: 1977,J. Fluid Mech. 82, 97.Google Scholar
  24. Schetz, J. A. and Eichhorn, R.: 1962,J Heat Transfer (Trans. ASME) 84C, 334.Google Scholar
  25. Schlichting, H.: 1968,Boundary-Layer Theory, McGraw-Hill Book Company.Google Scholar
  26. Siegel, R.: 1958,J. Heat Transfer (Trans. ASME) 80C, 347.Google Scholar
  27. Singh, D.: 1964,Appl. Sci. Res. 13A, 437.Google Scholar
  28. Soundalgekar, V. M.: 1971,I.U.T.A.M. Symposium (Canada), p. 1911.Google Scholar
  29. Stuart, J. T.: 1955,Proc. Roy. Soc. 231A, 116.Google Scholar
  30. Sugawara, S. and Michiyoshi I.: 1952,Proc. First Japan Nat. Cong. Appl. Mech., p. 501.Google Scholar
  31. Van der Pol, B. and Bremmer, H.: 1955,Operational Calculus, Cambridge University Press.Google Scholar
  32. Watson, E. J.: 1955,Proc. Roy. Soc. 231A, 104.Google Scholar
  33. Watson, J.: 1958,Quart. J. Mech. Appl. Math. 11, 302.Google Scholar
  34. Weir, A. D.: 1976,J. Fluid Mech. 75, 49.Google Scholar

Copyright information

© D. Reidel Publishing Co 1979

Authors and Affiliations

  • G. C. Pande
    • 1
  • G. A. Georgantopoulos
    • 1
  • C. L. Goudas
    • 1
  1. 1.Dept. of MechanicsUniversity of PatrasGreece

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