Turbulent mixed flow of free and forced convection between vertical parallel plates

The heat-transfer problems of combined free and forced convection by a fully developed laminar flow in a vertical channel of constant axial wall temperature gradient with or without heat generations are approached by a new method. By introducing a complex function which is directly related to the velocity and temperature fields, the coupled momentum and energy equations are readily combinable to a Helmholtz wave equation in the complex domain. This greatly reduces the complexities of the problems. For illustrations, the cases of flows between parallel plates and in a rectangular channel are treated. It shows that this method is more direct and powerful than those of previous investigations.

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Buoyancy effects on turbulent transport in combined free and forced convection between vertical parallel plates

International Journal of Heat and Mass Transfer ◽

10.1016/0017-9310(80)90207-0 ◽

1980 ◽

Vol 23 (10) ◽

pp. 1325-1336 ◽

Cited By ~ 36

Author(s):

Nakajima Masamoto ◽

Fukui Keisuke ◽

Ueda Hiromasa ◽

Mlzushina Tokuro

Keyword(s):

Forced Convection ◽

Turbulent Transport ◽

Parallel Plates ◽

Free And Forced Convection

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An Analysis of Laminar Free and Forced Convection between Finite Vertical Parallel Plates

Journal of Heat Transfer ◽

10.1115/1.3450004 ◽

1973 ◽

Vol 95 (1) ◽

pp. 53-59 ◽

Cited By ~ 43

Author(s):

J. Quintiere ◽

W. K. Mueller

Keyword(s):

Heat Transfer ◽

Forced Convection ◽

Wall Temperature ◽

Parallel Plates ◽

Constant Property ◽

Uniform Wall Temperature ◽

Approximate Analytical Solutions ◽

Wide Range ◽

Free And Forced Convection ◽

Prandtl Numbers

Approximate analytical solutions are presented for constant-property laminar free- and forced-convection flows between finite vertical parallel plates. For free convection, the thermal boundary conditions considered include the thermally symmetric channel with uniform wall temperature or step change in wall temperature and the unsymmetric channel with uniform but unequal wall temperatures. For forced convection and combined free and forced convection, the thermally symmetric and uniform thermal boundary condition is considered. Where possible, results are compared with available numerical and experimental results. Particular attention is given to heat-transfer results, which cover a wide range of Rayleigh and Prandtl numbers. For combined convection the heat-transfer results are related to the impressed pressure difference and flow rate.

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