Laminar Film Condensation on a Porous Vertical Wall With Uniform Suction Velocity

1964 ◽  
Vol 86 (4) ◽  
pp. 481-489 ◽  
Author(s):  
K. C. Jain ◽  
S. G. Bankoff

A perturbation method developed by Chen for laminar film condensation on a vertical, constant-temperature wall, taking into account condensate subcooling and vapor drag, is refined and extended to the case where some of the condensate is sucked off at constant velocity through a porous wall. The refinement consists of a single, rather than a double, power-series expansion in the heat capacity and the acceleration parameters. The extension consists of an exact solution of the Nusselt problem with constant suction velocity, followed by a perturbation procedure to take into account the heat capacity and acceleration effects. The results show that substantial increases in heat transfer can be effected in this manner, especially at high Prandtl numbers.

1970 ◽  
Vol 92 (2) ◽  
pp. 252-256 ◽  
Author(s):  
Ji Wu Yang

The problem of film condensation on a porous wall has been solved by a boundary layer treatment. A dimensionless suction velocity parameter β, which is proportional to the uniform suction velocity vw and 1/4th the power of longitudinal coordinate (x1/4), is defined to characterize the process. The results are restricted to small values of β, as the solutions are given by power series expansion in β. The effects of uniform suction on heat transfer, condensation rate, film thickness, and velocity and temperature profiles are demonstrated through various examples. In general, uniform suction causes a substantial increase of heat transfer and condensation rate, especially at low subcooling and at high Prandtl numbers. The problem involves three governing parameters: subcooling, Prandtl number, and suction velocity. Comparison with the previous work of Jain and Bankoff is discussed.


1976 ◽  
Vol 98 (1) ◽  
pp. 108-113 ◽  
Author(s):  
M. Epstein ◽  
D. H. Cho

Laminar film condensation of a saturated vapor on a vertical melting surface is treated theoretically, with emphasis on departures from a previous treatment produced by: (a) arbitrary liquid Prandtl numbers and (b) condensation-melting systems involving two materials of immiscible liquids. An integral method is utilized which takes full account of the effects of both liquid film inertia and shear force at the condensing vapor-liquid film interface. For a one-component system accurate numerical results for the melting rates are displayed graphically and define the range of validity of a simple treatment of this problem based on Nusselt’s method. For a two-component system, illustrative calculations are made for the condensation of a refrigerant vapor on melting ice.


1959 ◽  
Vol 81 (1) ◽  
pp. 13-18 ◽  
Author(s):  
E. M. Sparrow ◽  
J. L. Gregg

The problem of laminar-film condensation on a vertical plate is attacked using the mathematical techniques of boundary-layer theory. Starting with the boundary-layer (partial differential) equations, a similarity transformation is found which reduces them to ordinary differential equations. Energy-convection and fluid-acceleration terms are fully accounted for. Solutions are obtained for values of the parameter cpΔT/hfg between 0 and 2 for Prandtl numbers between 1 and 100. These solutions take their place in the boundary-layer family along with those of Blasius, Pohlhausen, Schmidt and Beckmann, and so on. Heat-transfer results are presented. It is found that the Prandtl-number effect, which arises from retention of the acceleration terms, is very small for Prandtl numbers greater than 1.0. Low Prandtl number (0.003–0.03) heat-transfer results are given in Appendix 2, and a greater effect of the acceleration terms is displayed.


1973 ◽  
Vol 95 (2) ◽  
pp. 174-178 ◽  
Author(s):  
J. W. Yang

A boundary-layer analysis is made for laminar film condensation on a sphere. Similarity transformations are made for two cases. The first case includes both the inertia forces and heat convection; the solutions are valid in the upper stagnation region. The second case excludes the inertia forces; the solutions are valid over the entire surface for high Prandtl numbers. Results of heat-transfer rate, condensation rate, and film thickness are presented. Comparisons with a vertical plate and a horizontal cylinder are discussed.


10.2514/3.866 ◽  
1997 ◽  
Vol 11 ◽  
pp. 119-121
Author(s):  
Lorenzo Mottura ◽  
Luigi Vigevano ◽  
Marco Zaccanti ◽  
F. Mendez ◽  
G. Becerra ◽  
...  

10.2514/3.931 ◽  
1997 ◽  
Vol 11 ◽  
pp. 526-532
Author(s):  
V. R. Murthy ◽  
Yu-An Lin ◽  
Steven W. O' ◽  
Hara Har ◽  
Sheng-An Yang

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