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New analysis of natural convection boundary layer flow on a horizontal plate with variable wall temperature

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Warianty tytułu
PL
Nowa analiza naturalnego opływu konwekcyjnej warstwy przyściennej na poziomej płycie o zróżnicowanej temperaturze powierzchni
Języki publikacji
EN
Abstrakty
EN
In this study, steady laminar free convection boundary layer flow on a horizontal plate is investigated through analytical solutions. By transforming the governing non-dimensional boundary layer equations into an ordinary differential equation, the application of the Homotopy Analysis Method can be practical. So in this case, the analytical results for different Prandtl numbers and constant M values which portray the power index are achieved. The trend goes on large amounts of (M ��>> 1) and the results are compared with other efforts. Furthermore, the effects of different values of Prandtl number and M values on temperature and velocity profiles are verified.
PL
W pracy zajęto się swobodnym, laminarnym opływem konwekcyjnej warstwy przyściennej na poziomej płycie w ujęciu czysto analitycznym. Bezwymiarowe równania warstwy przekształcono do postaci różniczkowej zwyczajnej, co pozwoliło na zastosowanie metody homotopii. Otrzymano analityczne wyniki określające wykładnik potęgowy opływu dla różnych wartości liczby Prandtla oraz stałej M. Badania rozszerzono na �>> 1, a rezultaty porównano z opracowaniami innych badaczy. Zweryfikowano również wpływ liczby Prandtla oraz stałej M na rozkład temperatury i prędkości opływu w rozważanej warstwie.
Rocznik
Strony
1001--1010
Opis fizyczny
Bibliogr. 27 poz., rys., tab.
Twórcy
autor
Bibliografia
  • 1. Abouei Mehrizi A., Domairry G., Khesali M.A., Latif Aghili A., 2011, Analysis of transient heat flow in a long narrow tube with convection and radiation, Proc. International Congress on Advances in Applied Physics and Materials Science, 411-414
  • 2. Ackroyd J.A.D., 1976, Laminar natural convection boundary layers on near-horizontal plates, Proc. Roy. Soc. London A, 352, 249-274
  • 3. Afzal N., 1985, Higher order effects in natural convection flow over a uniform flux horizontal surface, Heat and Mass Transfer, 19, 3, 177-180
  • 4. Afzal N., Hussain T., 1986, Effects of large suction in natural convection boundary layer on a horizontal plate, Heat and Mass Transfer, 20, 3, 203-206
  • 5. Brouwers H.J.H., 1993, The effect of blowing or suction on laminar free convection heat transfer on flat horizontal plates, Heat and Mass Transfer, 28, 6, 341-344
  • 6. Chen T.S., Buchanan W.P., Armaly B.F., 1993, Natural convection on vertical and horizontal plates with vectored surface mass transfer, International Journal of Heat and Mass Transfer, 36, 2, 479-487
  • 7. Chen T.S., Tien H.C., Armaly B.F., 1986, Natural convection on horizontal, inclined, and vertical plates with variable surface temperature or heat flux, International Journal of Heat and Mass Transfer, 29, 10, 1465-1478
  • 8. Clifton J.V., Chapman A.J., 1969, Natural convection on a finite-size horizontal plate, International Journal of Heat and Mass Transfer, 12, 12, 1573-1584
  • 9. Daniels P.G., 1992, A singularity in thermal boundary-layer flow on a horizontal surface, Journal of Fluid Mechanic, 242, 419-440
  • 10. Domairry G., Nadim N., 2008, Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation, International Communications in Heat and Mass Transfer, 35, 1, 93-102
  • 11. Domairry G., Fazeli M., 2009, Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature-dependent thermal conductivity, Communications in Non-linear Science and Numerical Simulation, 14, 2, 489-499
  • 12. Gill W.N., Zeh D.W., Del Casal, D.W., 1965, Free convection on a horizontal plate, The Journal of Applied Mathematics and Physics (ZAMP), 16, 4, 539-541
  • 13. Goldstein R.J., Sparrow E.M., Jones D.C., 1973, Natural convection mass transfer adjacent to horizontal plates, International Journal of Heat and Mass Transfer, 16, 5, 1025-1035
  • 14. Hayat T., Sajid M., 2007, Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet, International Journal of Heat and Mass Transfer, 50, 1-2, 75-84
  • 15. Jones D.R., 1973, Free convection from a semi-infinite plate inclined at a small angle, The Quarterly Journal of Mechanics and Applied Mathematics, 26, 1, 77-98
  • 16. Kitamura K., Kimura F., 1995, Heat transfer and fluid flow of natural convection adjacent to upward-facing horizontal plates, International Journal of Heat and Mass Transfer, 38, 17, 3149-3159
  • 17. Liao SJ., 1992, The proposed homotopy analysis technique for the solution of nonlinear problems, Ph.D. Thesis, Jiao Tong University, Shanghai
  • 18. Liao SJ., 2003, Beyond Perturbation: Introduction to Homotopy Analysis Method, Chapman & Hall, Boca Raton, Florida
  • 19. Lin H.-T., Yu W.-S., 1988, Free convection on a horizontal plate with blowing and suction, Journal of Heat Transfer, 110, 3, 793-796
  • 20. Lin H.-T., Yu W.-S., Yang S.-L., 1989, Free convection on an arbitrarily inclined plate with uniform surface heat flux, Heat and Mass Transfer, 24, 3, 183-190
  • 21. Mahajan R.L., Gebhart B., 1980, Higher-order boundary layer effects in plane horizontal natural convection flows, Journal of Heat Transfer, 102, 2, 368-371
  • 22. Pera L., Gebhart B., 1973, Natural convection boundary layer flow over horizontal and slightly inclined surfaces, International Journal of Heat and Mass Transfer, 16, 6, 1131-1146
  • 23. Pop I., Ishak A., Ahmad R., Nazar R., Deswita L., 2009, Similarity solutions of free convection boundary layer flow on a horizontal plate with variable wall temperature, European Journal of Scientific Research, 27, 2, 188-198
  • 24. Raju M.S., Liu X.Q., Law C.K., 1984, A formulation of combined forced and free convection past horizontal and vertical surfaces, International Journal of Heat and Mass Transfer, 27, 12, 2215-2224
  • 25. Rotem Z., Claassen L., 1969, Natural convection above unconfined horizontal surfaces, Journal of Fluid Mechanic, 39, 1, 173-192
  • 26. Stewartson K., 1958, On the free convection from a horizontal plate, The Journal of Applied Mathematics and Physics (ZAMP), 9, 3, 276-282
  • 27. Yu W.-S, Lin H.-T., 1988, Free convection heat transfer from an isothermal plate with arbitrary inclination, Heat and Mass Transfer, 23, 4, 203-211
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM6-0030-0011
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