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Thermal radiation effects on free convection over a rotating axisymmetric body with application to a rotating hemisphere

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Języki publikacji
EN
Abstrakty
EN
This paper deals with the interaction of thermal radiation with free convection, laminar boundary-layer flow past a heated rotating axisymmetric round-nosed body of uniform surface temperature. The fluid considered is a gray, absorbing-emitting but nonscattering medium, and Rosseland approximation is used to describe the radiative heat flux. The difficulty of having a unified mathematical treatment of this problem is due to the nonsimilarity nature of the governing equations arising from the buoyant force-field and the transverse curvature of the body. The important parameters of this problem are the Planck number, Rd, the buoyancy parameter, ..., and the wall to free stream temperature ratio, .... Numerical solution of the boundary-layer equations are performed using the Keller-box method as well as the local nonsimilarity method. The theory is applied to a rotating hemisphere for a gas with Prandtl number of 0.72. The effects of the parameters ..., Rd and ... are shown on the velocity and temperature profiles, as well as on the local skin friction coefficient and local rate of heat transfer.
Rocznik
Strony
55--74
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
  • Department of Mathematics, University of Dhaka, 1000 Dhaka, Bangladesh
autor
  • Faculty of Mathematics University of CLUJ R-3400 CLUJ, CP 253, Romania
autor
  • Faculty of Mathematics University of CLUJ R-3400 CLUJ, CP 253, Romania
Bibliografia
  • 1. W. H. BANKS, The laminar boundary layer on a rotating sphere, Acta Mechanica, 24, 273-283, 1976.
  • 2. L. A. DORFMAN and V. A. MIRNOVA, Solutions of equations for the thermal boundary layer at rotating axisymmetnc surface, Iit. J. Heat Mass Transfer, 13, 81-92, 1970.
  • 3. B. T. CHAO, and R. GREIF, Laminar forced convection over rotating bodies, Trans. ASME J. Heat Transfer. 96, 463-466, 1974.
  • 4. C. CREMERS and D. L. FINLEY, Natural convection about isothermal sphere, In: Fourth Int. Heat Transfer Conference, Paris-Versailles , 4, Paper No. 1.5, Elsevier, Amsterdam 1970.
  • 5. M. H. LEE, D. R. JENG and K.G. DE WITT, Laminar boundary layer transfer over rotating bodies in forced flow, Trans. ASME J. Heat Transfer, 100, 496-502, 1978.
  • 6. A. A. KRANSE and J. SCHENK, Thermal free convection from a solid sphere, Appl. Sci. Res. A15, 397-403, 1966.
  • 7. T. CHIANG, A. OSSIN and C. L. TIEN, Laminar free convection from a sphere, Trans. ASME J. Heat Transfer, 84, 537-542, 1964.
  • 8. T. S. CHEN and A. MUCOGLU, Analysis of mixed, forced and free convection about a sphere, Int. J. Heat Mass Transfer, 20, 867-875, 1977.
  • 9. A. MUCOGLU and T. S. CHEN, Mixed convection about a sphere with uniform surface heat flux, Trans. ASME J. Heat Transfer, 100, 542-544, 1978.
  • 10. H. J. MERCK, Rapid calculation for boundary layer transfer for wedge solutions and asymptotic expansions, J. Fluid Mech., 5, 460-480, 1959.
  • 11. B. T. CHAO and R. O. FAGBENLE, On Merk’s method of calculating boundary layer transfer, Int. J. Heat Mass Transfer, 17, 223-240, 1974.
  • 12. A. SUWONO, Buoyancy effects on flow and heat transfer on rotating axisymmetric roundnosed bodies, Int. J. Heat Mass Transfer, 23, 819-831, 1980.
  • 13. M. A. HOSSAIN, S. K. DAS and I. POP, MHD free convection flow near rotating axisymmetric round-nosed bodies, Magnitnaya Gidrodinamika, 2, 68-73, 1996.
  • 14. R. D. CESS, Interaction of thermal radiation with free convection heat transfer, Int. J. Heat Mass Transfer. 9, 1269-1277, 1966.
  • 15. V. S. ARPACI, Effect of thermal radiation on the laminar free convection from a heated vertical plate, Int. J. Heat Mass Transfer, 11, 871-881, 1968.
  • 16. E. H. CHENG and M. N. OZISIK, Radiation with free convection in an absorbing, emitting and scattering medium, Int. J. Heat Mass Transfer, 15, 1243-1252, 1972.
  • 17. S. HASEGAWA, R. ECHIGO and K. FAKUD, Analytic and experimental studies on simultaneous radiative and free convective heat transfer along a vertical plate, Proc. Japanese Soc. Mech. Engng., 38 2873-2883, 1972 and 39, 250-257, 1973.
  • 18. J.D. BANKSTON, J.R. LOYD and J.L. NOVOTNY, Radiation convectioninteraction in an absorbing-emitting liquid in natural convection boundary layer flow, Trans. ASME J. Heat Transfer, 99, 125-127, 1977.
  • 19. E. M. SPARROW and R. D. CESS, Radiation heat transfer-augmented media, Int. J. Heat Mass Transfer, 5, 179-806, 1962.
  • 20. R. D. CESS, The interaction of thermal radiation in boundary layer heat transfer, [in:] Proc. Third Int. Heat Transfer Conference, 5, 154-163, 1966.
  • 21. M. A. HOSSAIN and H. S. TAKHAR, Radiation effect on mixed convection along a vertical plate with uniform surface temperature, Heat and Mass Transfer, 31, 243-248, 1966.
  • 22. M. A. HOSSAIN, D. A. S. REES and I. POP, Free convection-radiationinteraction from an isothermal plate inclined at a small angle to the horizontal, Acta Mechanica, 127, 63-73, 1998.
  • 23. M. A. HOSSAIN and M. A. AALIM, Natural convection-radiation interaction on boundary layer flow along a thin vertical cylinder, Heat and Mass Transfer, 32, 515-520, 1997.
  • 24. T. CEBECI and P. BRADSHAW, Physical and computational aspects of convective heat transfer, Springer, New York 1994.
  • 25. R. SIEGEL and J.R. HOWEL, Thermal radiation heat transfer, McGraw-Hill, New York 1987.
  • 26. M. M. ALI, T. S. CHEN and B.F. ARMALY, Natural convection-radiation interaction in boundary layer flow over horizontal surface, AIAA J., 22, 1797-1803, 1984.
  • 27. E. M. SPARROW and H.S. Yu, Local non-similarity boundary layer solutions, Trans. ASME J. Heat Transfer, 93, 328-334, 1971.
  • 28. M. A. HOSSAIN, N. BANU and A. NAKAYAMA, Non-Darcy forced convection boundary layer flow over a wedge embedded in a saturated porous medium, Num. Heat Transfer, Part A 26, 399-414, 1994.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0002-0056
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