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Mixed convection along a vertical cone with uniform surface heat flux for fluids of any Prandtl number

Kumari M., Jaradat M. A., Pop I.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 3

733-744

An analysis of a steady laminar mixed convection boundary layer flow along a vertical cone of constant wall heat flux for any Prandtl number is presented. A mixed convection parameter [...], as proposed by Lin and Chen (1988), is used to serve as a controlling parameter that determines the relative importance of the forced and the free convection flows. New coordinates and dependent variabIes are then defined in terms of [...], so that the transformed non-similar boundary layer equations give computationally efficient numerical solutions which are valid over the entire range of the mixed convection flow from the forced convection limit [...] to the free convection limit [...] for fluids of any Prandtl number. The effect of the mixed convection parameter and the Prandtl number on the velocity and temperature profile s as well as on the skin friction and heat transfer coefficients are shown for both cases of buoyancy assisting and buoyancy opposing flow conditions, respectively.

Radiation interaction on forced and free convection across a horizontal cylinder

Hossain M. A., Kutubuddin M., Takhar H. S.

Applied Mechanics and Engineering

1999

Vol. 4, no 2

219-235

An analysis is performed to study the flow and heat transfer characteristics of laminar combined forced and free convection, with the effects of radiation, of a viscous incompressible and optically dense fluid from a horizontal cylinder. The transformed convection equations of non-similar boundary layers obtained for both the forced convection flow and the natural convection flow dominated regimes are solved by the implicit finite difference method. Numerical results are obtained for different physical parameters, such as the Rosseland parameter, Rd and the surface temperature parameter, __ , for fluids having the Prandtl number of 0.7. Results are presented in terms of local skin-friction and the local Nusselt number against the angular displacement, _ ,as well as the buoyancy parameter, __ . It is observed that both the local shear and the Nusselt number increase due to an increase in the values of Rd and __ , in the entire pure forced to pure free convection regimes.