Free Convection From a Vertical Cone at High Prandtl Numbers

1974 ◽  
Vol 96 (1) ◽  
pp. 115-117 ◽  
Author(s):  
S. Roy
1992 ◽  
Vol 70 (12) ◽  
pp. 1253-1260 ◽  
Author(s):  
John E. Daskalakis

We assess the effects of free convection on the boundary layer formed along a flat surface stretching vertically in a quiescent fluid. The flow is laminar and incompressible, the buoyancy forces conform to the Boussinesq approximation and the surface temperature is variable. The two-point boundary value problem of the coupled momentum and energy equations is solved using a simple and accurate relaxation method that provides the general nonsimilar solution to the flow. The effect of free-convection currents on velocity and temperature profiles, skin friction, and heat transfer is studied by varying the flow Grashof and Prandtl numbers. Zero shear stress and heat-transfer rate are predicted at some axial coordinate on a surface with decreasing wall temperature. Also the skin friction is markedly modified by the buoyancy while the heat transfer at the surface is correspondingly only moderately influenced.


1970 ◽  
Vol 29 (6) ◽  
pp. 1608-1618 ◽  
Author(s):  
R. S. Nanda ◽  
H. K. Mohanty

2020 ◽  
Vol 307 ◽  
pp. 01029
Author(s):  
Mohamed Amine Medebber ◽  
Nourddine Retiel ◽  
belkacem Ould said ◽  
Abderrahmane Aissa ◽  
Mohammed El Ganaoui

A transient two dimensional study of free convection in a vertical cylinder partially annulus is conducted numerically. Uniform temperature is imposed cross a vertical wall, while the top and bottom walls are adiabatic. The governing equations are solved numerically by using a finite volume method. The coupling between the continuity and momentum equations is effected using the SIMPLER algorithm. Solutions have been obtained for Prandtl numbers equal to 7.0, Rayleigh numbers of 103to 106and height ratios 0.5. The influence of physical and geometrical parameters on the isotherms, velocity fields, average Nusselt has been numerically investigated.


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