Abou-Arab

In another class of models, pioneered by Elghobashi and Abou-Arab (1983) and Chen (1985), a particle turbulent viscosity, derived by extending the concept of turbulence from the gas phase to the solid phase, has been used. This is the so-called k—s model, where the k corresponds to the granular temperature and s is a dissipation parameter for which another conservation law is required. By coupling with the gas phase k—s turbulence model, Zhou and Huang (1990) developed a k—s model for turbulent gas-particle flows. The k—s models do not... 

Mansour, S.A., Belal, M.H., Abou-Arab, A.A.K., Gad, M.F. Monitoring of pesticides and heavy metals in cucumber fruits produced from different farming systems. Chemosphere 75, 601-609 (2009)... 

As regards the pressure, at a given location the pressure has been considered to be the same for all the phases. Further, when any area is occupied by different phases, the pressure has been assumed to be shared by the phases proportional to the fractional area occupied by the phases. This approach has been used by several investigators in the past (Kataoka, 1986 Kataoka and Serizawa, 1989 Elgobashi and Abou-Arab, 1983). 

Elghobashi, S.E. and Abou-Arab, T.W. (1983), A two-equation turbulence model for two-phase flows, Phys. Fluids, 26, 931-938,... 

The parameter values chosen in the gas phase turbulence model are the same as those used for the standard single phase k-e model (see sect 1.3.5). The additional interaction term parameter is set at a fixed value, (7,3 = 1.3, as suggested by Elghobashi and Abou-Arab [38]. 

Dry RJ, Beeby CJ (1997) Applications of CFB technology to gas-solid reactions. In Grace JR, Avidan AA, Knowlton TM (eds) Circulating Fluidized Beds, First Edition, Blackie Academic Professional, London, chap 12, pp 441-465 Elghobashi SE, Abou-Arab TW (1983) A two-equation turbulence model for two-phase flows. Phys Fluids 26 931-938... 

Elghobashi SE, Abou-Arab TW (1983) A two-equation tuibulence model for two-phase flows. 

---