Abstract
The paper aims to give a comprehensive investigation of the two dimensional deformation of a single bubble in a straight duct and a 90° bend under the zero gravity condition. For this, the two phase flow lattice Boltzmann equation (LBE) model is used. An averaging scheme of boundary condition implementation has been applied and validated. A generalized deformation benchmark has been introduced. By presenting and analyzing the shape of the bubbles moving through the channels, the effects of the all important nondimensional numbers on the bubble deformation are examined thoroughly. It is seen that by increasing the Weber number the rate of the deformation enhances. Besides, because of the velocity dissimilarity between the particles constructing the bubble, the initial coordinates and the diameter of the bubble play a great role in the future behavior of the bubble. The density ratio has a little effect on the shape of the bubble within the assumed range of the density ratio. Moreover, as the Reynolds number or the viscosity ratio is decreased, higher rate of deformation is exhibited. Finally it is found that there is an inverse proportionality between the amplitude and frequency of the bubble deformation.
Highlights
Flow is of great importance in many industrial processes, such as design of boilers, heat transport systems where phase change occurs, and cavitation phenomenon in pumps
In the absence of the gravity, uniform velocity and fully-developed condition are applied as boundary conditions at the inlet and outlet of the channels, respectively
To characterize two phase flow with mentioned boundary conditions, first, we introduce the parameters contributing to the deformation of a single bubble in a 2-D straight duct
Summary
Flow is of great importance in many industrial processes, such as design of boilers, heat transport systems where phase change occurs, and cavitation phenomenon in pumps. How to cite this paper: Daryan, H.M.M. and Rahimian, M.H. (2015) Numerical Simulation of Single Bubble Deformation in Straight Duct and 90 ̊ Bend Using Lattice Boltzmann Method. H. Rahimian tems, detailed knowledge of the bubble dynamics is required. Rahimian tems, detailed knowledge of the bubble dynamics is required For this reason, a lot of studies have investigated this subject, experimentally and numerically. Dynamic behavior of a rising bubble in a stagnant liquid has been studied and correlations for bubble rise velocity and shape regimes have been provided by [1]-[3]. An extensive review of experimental studies was presented by Clift et al [4]
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