Abstract
Velocity and concentration distribution near the interface of moving bubble in liquid are investigated experimentally and numerically. The tangential and nominal velocity distributions of liquid in the vicinity of the interface are measured by a Laser Doppler anemometer. Then a numerical model for predicting the liquid velocity distribution around a bubble is developed and the results are compared with some other models by checking with the experimental data from a Particle Imaging Velocimeter (PIV). The species concentration distribution of liquid near the interface is measured by using holographic interferometer. It is shown in the experiment that the concentration at distance about 10−2 mm from the interface is far from the thermodynamic equilibrium value, and some insight in understanding the interfacial mass transfer is discussed.
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Abbreviations
- P :
-
Pressure, Pa
- R :
-
Axial length from bubble center, \((R = R_{\text{B}} + {\text{y}})\)
- r(x):
-
Radius normal to flow direction, m
- \(r^{*}\) :
-
Radial distance \(\left[ {r^{*} = {{r(x)} \mathord{\left/ {\vphantom {{r(x)} {R_{\text{B}} }}} \right. \kern-0pt} {R_{\text{B}} }}} \right]\)
- \(R_{\text{B}}\) :
-
Radius of rising bubble, m
- S :
-
Cross-correlation coefficient
- t :
-
Contact time of fluid and bubble, s
- T :
-
Temperature
- u :
-
Liquid flow velocity, cm s−1
- U :
-
Velocity of external fluid, m s−1
- \(U_{\text{B}}\) :
-
Velocity of rising bubble, m s−1
- u :
-
Tangential velocity, m s−1
- v :
-
Radial velocity, m s−1
- X :
-
Coordination in \(X\) direction
- x :
-
Length from the front stagnation point, radian, n
- Y :
-
Coordination in \(Y\) direction
- y :
-
Normal distance to the surface of bubble, m
- \(\eta\) :
-
Dimensionless variable
- \(\nu\) :
-
Dynamical viscosity \((\nu = \rho /\mu )\), m2 s−1
- \(\theta\) :
-
Center angle from the front stagnation point \((\theta = {r \mathord{\left/ {\vphantom {r R}} \right. \kern-0pt} R})\)
- \(\mu\) :
-
Viscosity of the fluid, kg s−1 m−1
- \(\xi\) :
-
Function of \(\eta\)
- \(\rho\) :
-
Density of the fluid, kg m−3
- \(\psi\) :
-
Stream function
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Yu, KT., Yuan, X. (2017). Micro Behaviors Around Rising Bubbles. In: Introduction to Computational Mass Transfer. Heat and Mass Transfer. Springer, Singapore. https://doi.org/10.1007/978-981-10-2498-6_8
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DOI: https://doi.org/10.1007/978-981-10-2498-6_8
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Online ISBN: 978-981-10-2498-6
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