Natural Convection Along Slender Vertical Cylinders With Variable Surface Heat Flux

1989 ◽  
Vol 111 (4) ◽  
pp. 1108-1111 ◽  
Author(s):  
J. J. Heckel ◽  
T. S. Chen ◽  
B. F. Armaly
1962 ◽  
Vol 84 (4) ◽  
pp. 334-338 ◽  
Author(s):  
J. A. Schetz ◽  
R. Eichhorn

The viscous flow equations for the unsteady free convection of a fluid near a doubly infinite vertical plate whose temperature or heat flux is an arbitrary function of time are treated by means of Laplace transforms. Exact solutions are obtained for several typical examples with arbitrary Prandtl number. The results are then generalized to give integral expressions for the velocity and temperature fields due to any prescribed time variation in wall temperature or surface heat flux.


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