Single bubble rising dynamics for moderate Reynolds number using lattice Boltzmann method. (English) Zbl 1242.76264
Summary: Dynamics of a single rising gas bubble is studied using a lattice Boltzmann method (LBM) based on the Cahn-Hilliard diffuse interface approach. The bubble rises due to gravitational force. However, deformation and velocity of the bubble depend on the balance of other forces produced by surface tension, inertia, and viscosity. Depending on the primary forces acting on the system, bubble dynamics can be classified into different regimes. These regimes are achieved computationally by systematically changing the values of Morton number \((Mo)\) and Bond number \((Bo)\) within the following ranges (\(1\times 10^{-5}<Mo<3\times 10^{4}\)) and \((1<Bo<1\times 10^{3})\). Terminal shape and Reynolds number \((Re)\) are interactive quantities that depend on size of bubble, surface tension, viscosity, and density of surrounding fluid. Accurate simulation of terminal shape and \(Re\) for each regime could be satisfactorily predicted and simulated, since they are also functions of \(Mo\) and \(Bo\). Results are compared with previous experimental results.
MSC:
| 76M28 | Particle methods and lattice-gas methods |
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
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