Momentum and Heat Transfer in Laminar Flow of Gas With Liquid-Droplet Suspension Over a Circular Cylinder

1967 ◽  
Vol 89 (2) ◽  
pp. 185-193 ◽  
Author(s):  
M. E. Goldstein ◽  
Wen-Jei Yang ◽  
J. A. Clark
Keyword(s):  
Heat Transfer ◽  
Circular Cylinder ◽  
Skin Friction ◽  
Gas Flow ◽  
Flow Problem ◽  
Liquid Droplet ◽  
Two Phase ◽  
Momentum And Heat Transfer ◽  
Layer Flow ◽  
Gas Liquid Flow

An analysis has been made to determine the heat transfer and friction characteristics in a two-phase (gas-liquid) flow over a circular cylinder. It is demonstrated that the resulting two-layer flow problem can be formulated exactly within the framework of laminar boundary layer theory. Two cases are studied; (1) For the parameter E greater or equal to 0.1 and the drop trajectories straight and, (2) For E less or equal to 0.1 and for any drop trajectory. Solutions obtained in power series include the local liquid-film thickness, velocity and temperature profiles, skin friction and Nusselt number. Numerical results disclose a significant increase in both heat transfer rate and skin friction over those of a pure gas flow. The theoretical prediction compares favorably with experimental results of Acrivos, et al. [1].

Dependence of Gas Bubble Diameter from the Gas Flow Rate in Upward Two-Phase Flow in an Inclined Flat Channel

2014 ◽  
Vol 9 (2) ◽  
pp. 136-144
Author(s):  
Anastasia Gorelikova ◽  
Oleg Kashinsky ◽  
Vyacheslav Randin ◽  
Aleksandr Chinak
Keyword(s):  
Heat Transfer ◽  
Flow Rate ◽  
Gas Flow ◽  
Bubbly Flow ◽  
Bubble Diameter ◽  
Flow Rate Ratio ◽  
Flat Channel ◽  
Gas Flow Rate ◽  
Two Phase ◽  
Gas Liquid Flow

Experimental study of heat transfer and wall shear stress in an upward bubbly flow in an inclined flat channel is presented. The measurements were performed in the range of superficial liquid velocities 0.31.1 m/s and different values of volumetric gas flow rate ratio. Measurements of hydrodynamic structure were carried out by electrochemical method using a miniature sensors of friction. The values of average friction and heat transfer coefficient at different orientations of the channel were determined. It is shown that there is a significant dependence of friction and heat transfer on the channel inclination angle in the gas-liquid flow

Film Boiling in a Forced-Convection Boundary-Layer Flow

1961 ◽  
Vol 83 (3) ◽  
pp. 370-375 ◽  
Author(s):  
R. D. Cess ◽  
E. M. Sparrow
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Skin Friction ◽  
Forced Convection ◽  
Practical Interest ◽  
Film Boiling ◽  
Convection Boundary Layer ◽  
Pure Liquid ◽  
Two Phase ◽  
Layer Flow

An analysis has been made to determine the heat transfer and friction characteristics in forced-convection film boiling on a flat plate. It is shown that the resulting two-phase flow problem can be formulated exactly within the framework of laminar boundary-layer theory. Solutions covering the parameter range of practical interest have been obtained by a combination analytical-numerical method. Heat-transfer and skin-friction results are presented both graphically and as simple, closed form analytical expressions. Relative to the case of pure liquid flow, the skin friction is substantially reduced due to film boiling. The heat transfer is found to increase as (ΔT)1/2, a much smaller dependence than in other convection phenomena.

Numerical modeling of the influence of bubbles on flow and heat transfer in the descending gas-liquid flow in a pipe

2012 ◽  
Vol 9 (1) ◽  
pp. 131-135
Author(s):  
M.A. Pakhomov
Keyword(s):  
Heat Transfer ◽  
Gas Phase ◽  
Liquid Flow ◽  
Bubble Diameter ◽  
Gas Content ◽  
Two Phase ◽  
Eulerian Description ◽  
Flow And Heat Transfer ◽  
Gas Liquid Flow ◽  
The Mathematical Model

The paper presents the results of modeling the dynamics of flow, friction and heat transfer in a descending gas-liquid flow in the pipe. The mathematical model is based on the use of the Eulerian description for both phases. The effect of a change in the degree of dispersion of the gas phase at the input, flow rate, initial liquid temperature and its friction and heat transfer rate in a two-phase flow. Addition of the gas phase causes an increase in heat transfer and friction on the wall, and these effects become more noticeable with increasing gas content and bubble diameter.

scholarly journals THIRD-ORDER GENERALIZED DISCONTINUOUS IMPULSIVE PROBLEMS ON THE HALF-LINE

2021 ◽  
Vol 26 (4) ◽  
pp. 548-565
Author(s):  
Feliz Minhós ◽  
Rui Carapinha
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Flow Problem ◽  
Sufficient Conditions ◽  
Half Line ◽  
Third Order ◽  
Impulsive Problems ◽  
Layer Flow

In this paper, we improve the existing results in the literature by presenting weaker sufficient conditions for the solvability of a third-order impulsive problem on the half-line, having generalized impulse effects. More precisely, our nonlinearities do not need to be positive nor sublinear and the monotone assumptions are local ones. Our method makes use of some truncation and perturbed techniques and on the equiconvergence at infinity and the impulsive points. The last section contains an application to a boundary layer flow problem over a stretching sheet with and without heat transfer.

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