Dy. Liu, A FURTHER DISCUSSION ON BASIC EQUATIONS FOR 2-PHASE FLOW - ON COLLISION STRESS OF SOLID-PHASE, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(2), 1998, pp. 216-224
The following points are argued: (i) there are two independent kinds o
f interaction on interfaces, i.e. the interaction between phases and t
he collision interaction, and the jump relations on interfaces can acc
ordingly be resolved; (ii) the stress in a particle can also be divide
d into background stress and collision stress corresponding to the two
kinds of interaction on interfaces respectively; (iii) the collision
stress, in fact, has no jump on interface, so the averaged value oi it
s derivative is equal to the derivative of its averaged value; (iv) th
e stress of solid phase in the basic equations for two-phase flow shou
ld include the collision stress, while the stress in the expression of
the inter-phase force contains the background one only. Based on the
arguments, the strict method for deriving the equations for two-phase
now developed by Drew, Ishii et al. is generalized to the dense two-ph
ase flow, which involves the effect of collision stress.