Theoretical Modeling and Correlational Analysis of Single Bubble Dynamics From Submerged Orifices in Liquid Pools

Theoretical Modeling and Correlational Analysis of Single Bubble Dynamics From Submerged Orifices in Liquid Pools

Bibliographic Details
Main Author: Kasimsetty, Sundeep Kumar
Language:English
Published: University of Cincinnati / OhioLINK 2008
Subjects:
Chemical Engineering
Mathematics
Mechanical Engineering
Plastics
Adiabatic Bubble Dynamics
Theoretical Model
Numerical Simulation
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=ucin1204918468
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-ucin12049184682021-08-03T06:12:23Z Theoretical Modeling and Correlational Analysis of Single Bubble Dynamics From Submerged Orifices in Liquid Pools Kasimsetty, Sundeep Kumar Chemical Engineering Mathematics Mechanical Engineering Plastics Adiabatic Bubble Dynamics Theoretical Model Numerical Simulation The growth dynamics of a single gas bubble from inception to departure, emanating from a submerged capillary tube orifice in quiescent liquid pools has been theoretically modeled. The mathematical model represents a fundamental balance of forces due to buoyancy, viscosity, surface tension, liquid inertia, and gas momentum transport, and the consequent motion of the evolving gas-liquid interface. Theoretical solutions describe the dynamic bubble behavior (incipience, growth, necking and departure) as it grows from the tip of a capillary tube orifice in an isothermal pure liquid pool. Also complete Navier Stokes equations are solved using VOF model to simulate the different stages in the evolution of the bubble. Variations in bubble shapes and sizes, equivalent diameter, and growth times with capillary orifice diameter and air flow rates are outlined. These results are also found to be in excellent agreement with the experimental data available in the literature. The parametric trends suggest a two-regime ebullient transport: (a) a constant volume regime where the bubble diameter is not affected by the flow rate, and (b) a growing bubble regime where bubble size increases with flow rate. The experimental data available in the literature for a wide range of liquids, flow rates and orifice sizes are analyzed to develop regime maps that characterize these two regimes. For a given liquid, the transition from the constant volume regime and the growing bubble regime is determined by the non-dimensional parameter, <i>BoFr<sup>0.5</sup></i> = 1 , that defines the interaction between buoyancy, surface tension and inertial forces. Correlation for isolated adiabatic bubble departure diameters is also developed based on a non-linear regression analysis of experimental data. The correlation considers the effects of thermo physical properties of the gas and liquid phases, orifice diameters and gas flow rates, and describes the experimental data published in the literature with in ± 10 percent. 2008-04-18 English text University of Cincinnati / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ucin1204918468 http://rave.ohiolink.edu/etdc/view?acc_num=ucin1204918468 unrestricted This thesis or dissertation is protected by copyright: some rights reserved. It is licensed for use under a Creative Commons license. Specific terms and permissions are available from this document's record in the OhioLINK ETD Center.
collection NDLTD
language English
sources NDLTD
topic Chemical Engineering
Mathematics
Mechanical Engineering
Plastics
Adiabatic Bubble Dynamics
Theoretical Model
Numerical Simulation
spellingShingle Chemical Engineering
Mathematics
Mechanical Engineering
Plastics
Adiabatic Bubble Dynamics
Theoretical Model
Numerical Simulation
Kasimsetty, Sundeep Kumar
Theoretical Modeling and Correlational Analysis of Single Bubble Dynamics From Submerged Orifices in Liquid Pools
author Kasimsetty, Sundeep Kumar
author_facet Kasimsetty, Sundeep Kumar
author_sort Kasimsetty, Sundeep Kumar
title Theoretical Modeling and Correlational Analysis of Single Bubble Dynamics From Submerged Orifices in Liquid Pools
title_short Theoretical Modeling and Correlational Analysis of Single Bubble Dynamics From Submerged Orifices in Liquid Pools
title_full Theoretical Modeling and Correlational Analysis of Single Bubble Dynamics From Submerged Orifices in Liquid Pools
title_fullStr Theoretical Modeling and Correlational Analysis of Single Bubble Dynamics From Submerged Orifices in Liquid Pools
title_full_unstemmed Theoretical Modeling and Correlational Analysis of Single Bubble Dynamics From Submerged Orifices in Liquid Pools
title_sort theoretical modeling and correlational analysis of single bubble dynamics from submerged orifices in liquid pools
publisher University of Cincinnati / OhioLINK
publishDate 2008
url http://rave.ohiolink.edu/etdc/view?acc_num=ucin1204918468
work_keys_str_mv AT kasimsettysundeepkumar theoreticalmodelingandcorrelationalanalysisofsinglebubbledynamicsfromsubmergedorificesinliquidpools
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