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Condensation on a porous horizontal plate with large suction

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Summary

Laminar film condensation of a saturated vapor flowing across a horizontal, porous flat is considered. A special case is analyzed in which the condensate is removed through the wall at a rate sufficient to maintain a constant liquid boundary layer thickness far downstream from the leading edge. An exact solution of this case yields expressions for heat flux, boundary layer thickness, and interfacial velocity and shear.

Zusammenfassung

Laminarfilm-Kondensation von Sattdampf, der über eine horizontale poröse ebene Platte fließt, wird betrachtet. Es wird ein Spezialfall untersucht, bei dem das ganze Kondensat durch die Wand abgeführt wird, so daß die Flüssigkeits-Grenzschichtdicke weit von der Vorderkante konstant bleibt. Von einer exakten Lösung werden Ausdrücke für die Wärmestromdichte, Grenzschichtdicke, Grenzflächen, Geschwindigkeit und Schubspannung erhalten.

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Abbreviations

C p :

Specific heat at constant pressure-Btu/lbm °F

h fg :

Latent heat of condensation-Btu/lbm

k :

Thermal conductivity-Btu/hr-ft-°F

q :

Heat flow per unit time and area-Btu/ft2-hr

T :

Temperature °F

ΔT=T s −T w :

Subcooling-°F

u, U :

Streamwise liquid and vapor velocities-ft/sec

v, V :

Transverse liquid and vapor velocities-ft/sec

x :

Streamwise coordinate-ft

y :

Transverse coordinate-ft

α:

Thermal diffusivity of condensate-ft2/sec

σ:

Liquid boundary layer thickness-ft

θ:

Dimensionless temperature (eq.8)

μ:

Dynamic viscosity-lbm/ft-sec

γ:

Kinematic viscosity-ft2/sec

ρ:

Density-lbm/ft3

ρ* :

Density ratio ρ/ρ′

τ:

Local shear component of stress-lbf/ft2

*:

Dimensional

′(prime):

Vapor

s :

Saturation

w or 0:

At surface of the plate

σ:

At phase interface

References

  1. J.W. Yang,Effect of Uniform Suction on Laminar Film Condensation on a Porous Vertical Wall, Trans. ASME, J. Ht. Trans., p. 252, May 1970.

  2. A.T. Kramer andB. Otterman,Analysis of Vapor Condensation on a Horizontal Flat Plate with Non-Uniform Suction, Mech. Eng. Report #4, Northeastern Univ., Boston 1971.

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  3. H. Schlichting,Boundary Layer Theory (McGraw-Hill 1955), p. 229.

  4. I.G. Shekriladze andV.I. Gomelauri,Theoretical Study of Laminar Film Condensation of Flowing Vapour, Int. J. Heat Mass Transfer9, 581 (1966).

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Authors and Affiliations

  1. Dept. of Mech. Engineering, Northeastern University, Boston, Mass., USA

    Bernard Otterman

Authors
  1. Bernard Otterman
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Otterman, B. Condensation on a porous horizontal plate with large suction. Journal of Applied Mathematics and Physics (ZAMP) 23, 125–130 (1972). https://doi.org/10.1007/BF01593209

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  • DOI: https://doi.org/10.1007/BF01593209

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