Thermo-mechanical modeling of turbulent heat transfer in gas–solid flows including particle collisions

Experimental study of turbulent gas–solid heat transfer at different particles temperature

“…The mathematical modeling based on new twophase k-s and k h -s h model has been described in [28,29] in details.…”

“…Saffar-Avval et al [27] developed a new k-s=k h -s h model for two-phase flows with heat transfer and introduced the source terms in the governing equations due to the presence of the solid phase. Extended k-s=k h -s h model to two-and fourway coupling by Mansoori et al [28,29], showed suitability of this model for two-phase flows with heat transfer, while in two-way modeling, two phases coupling is considered and in four-way approach, solid phase interaction is added to model by simulating the particle collisions.…”

Study of Heat Transfer and Hydrodynamics in the Fluidized Bed Reactors

“…In agreement with the numerical results, the experiments showed that the addition of hot particles to the suspension can cause an increase in the heat transfer coefficient. Also, in another paper [18] they used their four-way EulerianLagrangian formulation to study the particle-particle heat transfer in turbulent gas-solid flows in a riser. Their formulation included the particle-particle collisions, in addition to the k τ − and the k θ θ τ − model equations.…”

“…Their numerical simulations included an inelastic soft sphere collision model, but unsteadiness and variation of gas velocity in the gas lens between two colliding particles and the noncontinuum effects were neglected. Validations of the predicted velocity and heat transfer were also presented in [18]. Saffar-Avval et al [19] performed simulations of gas-solid turbulent upward flows in a vertical pipe using the Eulerian-Lagrangian approach.…”

Population Balance Model of Heat Transfer in Gas-Solid Processing Systems

“…In systems with intensive motion of particles, the particle-particle and particle-wall heat transfers occur through inter-particle and particle-wall collisions so that both experimental and modeling study of these collision processes is of primary interest. For modeling and simulation of collisional heat transfer processes in gas-solid systems, an Eulerian-Lagrangian approach, with Lagrangian tracking for the particle phase (Boulet et al, 2000, Mansoori et al, 2002, Chagras et al, 2005, population balance models (Mihálykó et al, 2004, and CFD simulation in the framework of EulerianEulerian approach (Chang and Yang, 2010) have been applied. The population balance equation is a widely used tool in modeling the disperse systems of process engineering (Ramkrishna, 2000) describing a number of fluid-particle and particleparticle interactions.…”