Numerical simulation of single bubble rising in vertical and inclined square channel using lattice Boltzmann method
نویسندگان
چکیده
A lattice Boltzmann equation (LBE)model based on the Cahn–Hilliard diffuse interface approach is used to investigate thedynamics of a bubble rising in a vertical and inclined square channelwith large density and viscosity ratios. Deformation parameter D, film thickness d, and terminal velocity Ut of the bubble are interrelated quantities which depend on non-dimensional numbers such as Bond number Bo, Morton number Mo, and ratio between bubble diameter and channel width k as it was reported by previous experimental studies. As k is increased, higher D and smaller d are exhibited. This finding is independent of the value of Bo and Mo. In addition, a relationship was established between d and D with nondimensional numbers such as Capillary number Ca andWeber numberWe. An evaluation was performed for inclined channels to relate the Froude number Frwith the inclination angle y, where in each case there is a critical value of ywhich corresponds to the highest value of Fr, consequently highestUt. This finding is consistent with previous simulation and experimental results. Moreover, a relation was established between the critical value of y and Ca and Bo. This three-dimensional study was performed using a range of Bo (1oBoo12), Mo (10 oMoo10) and the inclination of the channel is varied from 0 to 751. & 2010 Elsevier Ltd. All rights reserved.
منابع مشابه
Hydrodynamic investigation of multiple rising bubbles using lattice Boltzmann method
Hydrodynamics of multiple rising bubbles as a fundamental two-phase phenomenon is studied numerically by lattice Boltzmann method and using Lee two-phase model. Lee model based on Cahn-Hilliard diffuse interface approach uses potential form of intermolecular forces and isotropic finite difference discretization. This approach is able to avoid parasitic currents and leads to a stable procedure t...
متن کاملNumerical Simulation of Fluid Flow Past a Square Cylinder Using a Lattice Boltzmann Method
The method of lattice boltzmann equation(LBE) is a kinetic-based approach for fluid flow computations. In the last decade, minimal kinetic models, and primarily the LBE, have met with significant success in the simulation of complex hydrodynamic phenomena, ranging from slow flows in grossly irregular geometries to fully developed turbulence, to flow with dynamic phase transitions. In the presen...
متن کاملNumerical Study of Bubble Separation and Motion Using Lattice Boltzmann Method
In present paper acombination of three-dimensional isothermal and two-dimensional non-isothermal Lattice Boltzmann Method have been used to simulate the motion of bubble and effect of wetting properties of the surface on bubble separation. By combining these models, three-dimensional model has been used in two-dimension for decreasing the computational cost. Firstly, it has been ensured that th...
متن کاملUsing Lattice Boltzmann Method to Investigate the Effects of Porous Media on Heat Transfer from Solid Block inside a Channel
A numerical investigation of forced convection in a channel with hot solid block inside a square porous block mounted on a bottom wall was carried out. The lattice Boltzmann method was applied for numerical simulations. The fluid flow in the porous media was simulated by Brinkman-Forchheimer model. The effects of parameters such as porosity and thermal conductivity ratio over flow pattern and t...
متن کاملSimulation of Micro-Channel and Micro-Orifice Flow Using Lattice Boltzmann Method with Langmuir Slip Model
Because of its kinetic nature and computational advantages, the Lattice Boltzmann method (LBM) has been well accepted as a useful tool to simulate micro-scale flows. The slip boundary model plays a crucial role in the accuracy of solutions for micro-channel flow simulations. The most used slip boundary condition is the Maxwell slip model. The results of Maxwell slip model are affected by the ac...
متن کامل