Theoretical investigation of laminar film condensation of a saturated vapor flow over an isothermal surface

1968 ◽  
Vol 15 (3) ◽  
pp. 897-899
Author(s):  
Yu. G. Zhulev ◽  
V. A. Kosarenkov
Keyword(s):  
Theoretical Investigation ◽  
Saturated Vapor ◽  
Film Condensation ◽  
Vapor Flow ◽  
Isothermal Surface ◽  
Laminar Film ◽  
Laminar Film Condensation

Similar Solutions for Laminar Film Condensation with Adverse Pressure Gradients

1973 ◽  
Vol 95 (2) ◽  
pp. 268-270 ◽  
Author(s):  
P. M. Beckett
Keyword(s):  
Numerical Solutions ◽  
Saturated Vapor ◽  
Film Condensation ◽  
Pressure Gradients ◽  
Two Dimensional ◽  
Laminar Film ◽  
Approximate Models ◽  
Laminar Film Condensation ◽  
Similar Solutions

Steady two-dimensional laminar film condensation is investigated when the saturated vapor has the Falkner–Skan mainstream. Numerical solutions and approximate models are discussed with reference to other published work.

Laminar Film Condensation on a Vertical Melting Surface

1976 ◽  
Vol 98 (1) ◽  
pp. 108-113 ◽  
Author(s):  
M. Epstein ◽  
D. H. Cho
Keyword(s):  
Liquid Film ◽  
Saturated Vapor ◽  
Previous Treatment ◽  
Film Condensation ◽  
Full Account ◽  
Component System ◽  
Laminar Film ◽  
Laminar Film Condensation ◽  
Melting Surface ◽  
Prandtl Numbers

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.

The Effect of Noncondensable Gas on Laminar Film Condensation of Liquid Metals

1973 ◽  
Vol 95 (1) ◽  
pp. 6-11 ◽  
Author(s):  
R. H. Turner ◽  
A. F. Mills ◽  
V. E. Denny
Keyword(s):  
Liquid Metals ◽  
Dominant Role ◽  
Boundary Layer Separation ◽  
Vertical Surface ◽  
Film Condensation ◽  
Vapor Flow ◽  
Interfacial Resistance ◽  
Noncondensable Gas ◽  
Laminar Film ◽  
Laminar Film Condensation

The effect of noncondensable gas on laminar film condensation of a liquid metal on an isothermal vertical surface with forced vapor flow is analyzed. Where necessary the interfacial resistance due to thermodynamic nonequilibrium is included for a condensation coefficient σ = 1. A computer program has been developed to solve a finite-difference analog of the governing partial differential equations and is applied here to the mercury–air and sodium–argon systems. Heat-transfer results are presented for vapor velocities in the range 1 to 100 fps with mass fraction of gas varying from 10−5 to 3 × 10−2. The overall temperature difference ranged from 0.1 to 30 deg F while the temperature levels were 1200 and 900 deg R for mercury–air and 2000 and 1500 deg R for sodium–argon. The effect of noncondensable gas is most marked for low vapor velocities and high gas concentrations. At the lower pressure levels the inter facial resistance plays a dominant role, causing maxima in the curves of q/qNu versus x. For the mercury–air system the adverse buoyancy force causes vapor boundary-layer separation when the free-stream vapor velocity is low.

Flow Regimes for Laminar Film Condensation on a Vertical Plate With an Upward Vapor Flow

2020 ◽  
Vol 142 (4) ◽  
Author(s):  
Kentaro Kanatani
Keyword(s):  
Nusselt Number ◽  
Film Thickness ◽  
Average Nusselt Number ◽  
Vertical Plate ◽  
Film Condensation ◽  
Integral Model ◽  
Vapor Flow ◽  
Plate Length ◽  
Laminar Film ◽  
Laminar Film Condensation

Abstract Laminar film condensation on a vertical plate with an upward vapor flow is studied. An approximate integral model of the condensate film and the boundary layer of the vapor is numerically solved, taking into account both gravity and interfacial shear. Here, three types of solution are examined: (i) zero film thickness at the bottom; (ii) zero flowrate with a finite film thickness at the bottom; and (iii) negative flowrates at the bottom. The film thickness and the average Nusselt number are shown as functions of the distance along the plate and the plate length, respectively. The terminal lengths of the solutions of the types (i) and (ii) are calculated against the degree of the subcooling. Moreover, the results are compared with those derived using the approximation method where the shearing stress on the vapor–liquid interface is composed of only the momentum transferred by the suction mass (the Shekriladze–Gomelauri approach). It is found that the average Nusselt number is well described by the Shekriladze–Gomelauri model in the range of the solution type (ii), while the average Nusselt number for the thinnest-film solution of the type (iii) is asymptotically consistent with the Shekriladze–Gomelauri value for long plates.

Effects of Vapor Superheat and Condensate Subcooling on Laminar Film Condensation

1999 ◽  
Vol 122 (1) ◽  
pp. 192-196 ◽  
Author(s):  
J. Mitrovic
Keyword(s):  
Heat Transfer ◽  
Single Phase ◽  
Saturated Vapor ◽  
Interfacial Shear ◽  
Film Condensation ◽  
Sensible Heat ◽  
Laminar Film ◽  
Laminar Film Condensation ◽  
Condensation Model ◽  
The Heat Transfer Coefficient

Nusselt’s model is employed to illustrate the effects of vapor superheat and condensate subcooling on laminar film condensation occurring under simultaneous actions of gravity and interfacial shear. The vapor superheat affects the condensation kinetics in cooperation with heat transfer in both phases. Under comparable conditions, the condensate film is thinner and the heat transfer coefficient larger for superheated than for saturated vapor. The heat flux on the cooling surface arising from the sensible heat of condensate increases as the critical point of the condensing substance is approached and, at this point, the Nusselt condensation model gives the single-phase boundary layer solutions. [S0022-1481(00)00701-5]

Erratum: "Flow Regimes for Laminar Film Condensation on a Vertical Plate with an Upward Vapor Flow" [ASME J. Heat Transfer, 142, pp. 041603-1-041603-9 (2020)]

2021 ◽  
Author(s):  
Kentaro Kanatani
Keyword(s):  
Heat Transfer ◽  
Vertical Plate ◽  
Flow Regimes ◽  
Film Condensation ◽  
Vapor Flow ◽  
Laminar Film ◽  
Laminar Film Condensation

Abstract This is an erratum of "Flow Regimes for Laminar Film Condensation on a Vertical Plate with an Upward Vapor Flow" [ASME J. Heat Transfer, 142, pp. 041603-1-041603-9 (2020)].

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