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15.12.2 Momentum Exchange

The momentum transfer from the continuous phase to the discrete phase is computed in ANSYS FLUENT by examining the change in momentum of a particle as it passes through each control volume in the ANSYS FLUENT model. This momentum change is computed as


 F = \sum \left(\frac{18 \mu C_D {\rm Re}}{\rho_p d^{2}_{p}24} ({u}_p - u) + F_{\rm other} \right) \dot{m}_p \Delta t (15.12-1)


where      
  $\mu$ = viscosity of the fluid
  $\rho_p$ = density of the particle
  $d_p$ = diameter of the particle
  Re = relative Reynolds number
  $u_{p}$ = velocity of the particle
  $u$ = velocity of the fluid
  $C_D$ = drag coefficient
  $\dot{m}_p$ = mass flow rate of the particles
  $\Delta t$ = time step
  $F_{\rm other}$ = other interaction forces

This momentum exchange appears as a momentum source in the continuous phase momentum balance in any subsequent calculations of the continuous phase flow field and can be reported by ANSYS FLUENT as described in this section in the separate User's Guide.


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Release 12.0 © ANSYS, Inc. 2009-01-23