82

FIGURE 7.15 Distribution of particle volume into surrounding Eulerian cells (two-dimensional case).

of common edge segments of adjacent computational cells on which dispersed phase particles overlap:

Ai = 4 {Rp + Si) (Rp + ¿2) A3 = 4 (Rp - Si) (Rp - 52)

¿2 = 4 (Rp - Si) (Rp + S2) A4 = 4 (Rp + Si) (Rp - S2) (7.8)

Numerical experiments indicate that such an approximation may be acceptable for most engineering simulations. These approximations may be extended to three-dimensional simulations by considering volumes instead of areas.

The momentum transfer rate from the dispersed phase particles to the continuous phase is the opposite of the sum of all the forces exerted by the continuous phase on the dispersed phase:

is cell

Scmis the net source due to dispersed phase particles (Eq. (4.ii)). FD, FL and FVM are drag, lift and virtual mass forces (Section 4.2.i). It must be noted that Eq. (7.9) assumes that the volume-averaged momentum transfer (from the dispersed phase)

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