Motion of a two‐phase bubble through a quiescent liquid

An analytical model for the temperature distribution of a spray column, three-phase direct contact heat exchanger is developed. So far there were only numerical models available for this process; however to understand the dynamic behaviour of these systems, characteristic models are required. In this work, using cell model configuration and irrotational potential flow approximation characteristic models has been developed for the relative velocity and the drag coefficient of the evaporation swarm of drops in an immiscible liquid, using a convective heat transfer coefficient of those drops included the drop interaction effect, which derived by authors already. Moreover, one-dimensional energy equation was formulated involving the direct contact heat transfer coefficient, the holdup ratio, the drop radius, the relative velocity, and the physical phases properties. In addition, time-dependent drops sizes were taken into account as a function of vaporization ratio inside the drops, while a constant holdup ratio along the column was assumed. Furthermore, the model correlated well against experimental data.

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“…Substituting (23) and (29) into (26), and ignoring bubbles mass, in comparison with added mass that is,…”

Section: Theoretical Modellingmentioning

confidence: 99%

“…The evaporating drop radius is time dependent and can be found using the simple relation given by Wanchoo and Rina [26] as follows:…”

Section: Theoretical Modellingmentioning

confidence: 99%

Analytical Modelling of a Spray Column Three-Phase Direct Contact Heat Exchanger

Mahood

Sharif

Hosseini

et al. 2013

ISRN Chemical Engineering

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“…Thc nvcragc density givcn in eq'(l).can be cnlculatcd *.otOing to-tho mais balance around a.constant mass bubblc of two ptrasos. In t987, [14].used the following .quution to calculate the averagc density: P,, l.s)' t4,/…”

Section: Regults and Dlscusslonmentioning

confidence: 99%

Rise Velocity and Drag Coefficient of Collapsing Two-Phase Bubble Condensing in an Immiscible Liquid

Abdulmajeed¹

2007

IJCPE

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“…Assuming equilibrium of the drag, gravity, and buoyancy forces, the equation of motion for a collapsing two-phase bubble can be written as phase bubble, the average density of 'the drobble (Wanchoo and Raina, 1987) can be estimated as Combining Eqs. 1 and 2,…”

Section: Development Of Correlations Drag Coeflcient CDmentioning

confidence: 99%