Enhancement of Convective Heat and Mass Transfer From Two Bubbles at High Reynolds Number

2006 ◽  
Vol 129 (2) ◽  
pp. 211-219 ◽  
Author(s):  
Abdullah Abbas Kendoush
Keyword(s):  
Mass Transfer ◽  
Reynolds Number ◽  
Velocity Distribution ◽  
Analytical Solutions ◽  
High Reynolds Number ◽  
The Other ◽  
Method Of Images ◽  
High Reynolds ◽  
Two Bubbles ◽  
Fluid Spheres

Abstract Analytical solutions to the heat convection from two bubbles were obtained. These solutions were applied to the two bubbles with the flow along their line of centers and perpendicular to their line of centers. The method of images has been used to give a solution to the velocity distribution around the two bubbles. The derived solutions apply to fluid spheres. In general the derived solutions were compared well with the other available analytical and numerical results. Some avenues for further research were pointed out.

scholarly journals Experimental investigation of interfacial mass transfer mechanisms for a confined high‐reynolds‐number bubble rising in a thin gap

AIChE Journal ◽  
2016 ◽  
Vol 63 (6) ◽  
pp. 2394-2408 ◽  
Author(s):  
Matthieu Roudet ◽  
Anne‐Marie Billet ◽  
Sébastien Cazin ◽  
Frédéric Risso ◽  
Véronique Roig
Keyword(s):  
Mass Transfer ◽  
Experimental Investigation ◽  
Reynolds Number ◽  
High Reynolds Number ◽  
Interfacial Mass Transfer ◽  
Bubble Rising ◽  
High Reynolds ◽  
Transfer Mechanisms

scholarly journals Flow Structure and Deformation of Two Bubbles Rising Side by Side in a Quiescent Liquid

Fluids ◽  
2021 ◽  
Vol 6 (11) ◽  
pp. 390
Author(s):  
Hiroaki Kusuno ◽  
Toshiyuki Sanada
Keyword(s):  
Reynolds Number ◽  
High Reynolds Number ◽  
Bond Number ◽  
Potential Interaction ◽  
Flow Structures ◽  
Rotation Direction ◽  
Spherical Bubbles ◽  
High Reynolds ◽  
Quiescent Liquid ◽  
Two Bubbles

In the motion of two spherical bubbles rising side by side, the bubbles are known to attract each other at a high Reynolds number (Re = ρUd/μ). Furthermore, spherical bubbles kiss and bounce under certain conditions; however, deformable bubbles repel each other without kissing. This paper experimentally and numerically presents the flow structures and shape of the nonkissing repulsion of deformable bubbles. For the experimental analysis, we organized bubble behaviors by Galilei number (Ga = ρg1/2d3/2/μ) and Bond number (Bo = ρgd2/σ). The bubbles repelled each other without kissing near the unstable critical curve of a single bubble. The curvature inside the gap, which is similar to the shape of a zigzag behavior bubble, was large. For the numerical analysis, the velocity of the equatorial plane inside the gap was larger due to the potential interaction, although the velocity behind was the opposite due to the strengthened vorticity generated at the surface. Furthermore, the double-threaded wake emerged behind the interacting bubbles, and it showed that the rotation direction was repulsion regardless of whether the bubbles attracted or repelled each other. The streamline behind the bubbles in the 2D plane was from the outside to the inside.

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