Simulation of gas-solid particle flows over a wide range of concentration

Abstract

A two‐fluid model of gas–solid particle flows that is valid for a wide range of the solid‐phase volume concentration (dilute to dense) is presented. The governing equations of the fluid phase are obtained by volume averaging the Navier–Stokes equations for an incompressible fluid. The solid‐phase macroscopic equations are derived using an approach that is based on the kinetic theory of dense gases. This approach accounts for particle–particle collisions. The model is implemented in a control‐volume finite element method for simulations of the flows of interest in two‐dimensional, planar or axisymmetric, domains. The chosen mathematical model and the proposed numerical method are applied to three test problems and one demonstration problem. © 1998 John Wiley & Sons, Ltd.

The Effect of Undulated Wall on Natural Convection Heat Transfer in Vertical Channels

“…The equation representing the wall is considered to be mathematically expressible in a suitable sinusoidal, and the governing coupled Navier-Stokes and energy equations together with the continuity equation are solved by using CVFEM(Control Volume Finite Element) method. As it has been discussed in the previous works of Patankar [9], Baliga and Patankar [10], Prakash and Patankar [11], Schneider Raw [12], Masson et al [13] , Masson and Baliga [14], Saabas and Baliga [15], Costa and al. [16], Prakash [17] and Tran and al.…”