Summary
The non-similar boundary layer solutions are presented to study the mixed convective flow of a power-law fluid above a vertical adiabatic surface with a steady thermal source at the leading edge. The boundary layer equations contain an important mixed convection parameter. The governing non-similar equations are solved by means of a novel finite difference scheme for several values of the power-law viscosity index, the buoyancy parameter and the non-Newtonian Prandtl number of the fluid. The solutions obtained are uniformly valid over the entire regime of the buoyancy parameter ranging from forced convection to free convection limits. Consideration is given to the case of buoyancy-assisted and buoyancy-opposed plumes.
Similar content being viewed by others
References
Afzal, N.: Mixed convection in a two-dimensional buoyant plume. J. Fluid Mech.105, 347–368 (1981).
Jaluria, Y.: Mixed convection in a wall plume. Comp. Fluids10, 91–104 (1982).
Riley, D. S., Drake, D. G.: Mixed convection in an axisymmetric buoyant plume. Q. J. Mech. Appl. Math.36, 43–54 (1983).
Afzal, N.: Mixed convection in an axisymmetric buoyant plume. Int. J. Heat Mass Transfer26, 381–388 (1983).
Haaland, S. E., Sparrow, E. M.: Mixed convection plume above a horizontal line source situated in a forced convection approach flow. Int. J. Heat Mass Transfer26, 433–444 (1983).
Krishnamurthy, R., Gebhart, B.: Mixed convection in wall plumes. Int. J. Heat Mass Transfer27, 1679–1689 (1984).
Rao, K. V., Armaly, B. F., Chen, T. S.: Analysis of laminar mixed convective plumes along vertical adiabatic surfaces. J. Heat Transfer106, 552–557 (1984).
Afzal, N.: Mixed convection in buoyant plumes. In: Handbook of heat and mass transfer operation (Cheremissinof, N. P., ed.), pp. 389–440. Texas: Gulf Publishing 1985.
Rao, K. V., Armaly, B. F., Chen, T. S.: Mixed convection plumes arising from a thermal point source. J. Heat Transfer107, 720–722 (1985).
Afzal, N.: Mixed convection plume above a point heat source in a vertical free stream. Int. J. Heat Mass Transfer28, 2043–2047 (1985).
Krishnamurthy, R., Gebhart, B.: Mixed convection from a horizontal line source of heat. Int. J. Heat Mass Transfer29, 344–347 (1986).
Lin, H. T., Chen, J. J.: Forced convection heat transfer from concentrated and distributed thermal sources. J. Chin. Inst. Eng.10, 681–689 (1987).
Lin, H. T., Chen, J. J.: Mixed convection wall plumes. Int. J. Heat Mass Transfer30, 1721–1726 (1987).
Wilks, G., Hunt, R.: Vertical mixed convection flow about a horizontal line source of heating or cooling. Int. J. Heat Mass Transfer30, 1119–1131 (1987).
Hunt, R., Wilks, G.: A computer extended series examination of mixed convection in a buoyant plume. Comp. Fluids17, 497–508 (1989).
Nakamura, S.: Applied numerical method with software. Singapore: Prentice-Hall 1991.
Gorla, R. S. R., Nakamura, S.: Combined convection from a rotating cone to micropolar fields. Int. J. Eng. Fluid Mech. (Submitted).
Pop, I., Lee, J. K., Gorla, R. S. R.: Convective wall plume in power-law fluids. Int. J. Heat Mass Transfer (in press).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lee, J.K., Gorla, R.S.R., Nakamura, S. et al. Mixed convection in wall plume of power-law fluids. Acta Mechanica 102, 47–58 (1994). https://doi.org/10.1007/BF01178517
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01178517