Computational fluid dynamics analysis of air-water bubble columns

Effect of model formulation on flow‐regime predictions for bubble columns

“…¼ 0.5, and a uniform flow was obtained for Re % 500 and a d % 0:5. This disagreement with the flow map presented in Figure 2 is due to the adjustment to the drag model 29 for the present study.…”

“…Additional studies were subsequently performed to determine changes in flow behavior when the effective viscosity is used for both phases. 29 However, the changes in the flow transitions were found to be very small and will not be reported here. In this work, Sato's bubble-induced turbulence (BIT) model 30 is used to determine the pseudo-turbulent effective viscosity:…”

“…The target values considered for Re were 100, 400, 700, 1000, 1300, 29 In general, the simulations returned the target values for Re and a d , except when the flow transitioned to heterogeneous flow.…”

“…The antisymmetric part of G represents the sum of the vorticity tensors for each phase. The dot product of the antisymmetric tensor in G with (u c À u d ) can be expressed 29 as the sum of a lift force:…”

Linear stability analysis of a two-fluid model for air–water bubble columns

“…A detailed description of the derivation procedure can be found in Monahan (2007). As noted previously, we first determined the uniform state, for which d = d0 , u c = 0, and u d = u d0 i, where d0 and u d0 are constants and i represents the unit vector in the upward (vertical) direction.…”