Microchannel heat transfer and dispersion of nanoparticles in slip flow regime with constant heat flux

Eulerian–Lagrangian modeling of solid particle behavior in a square cavity with several pairs of heaters and coolers inside

“…Oztop et al • Following [9][10][11][12]14], it is assumed that for such low volume fractions of solid particles considered here the particles have negligible effects on the flow field (one-way coupling); • The initially stagnant particles are distributed randomly inside the cavity; • Local thermal equilibrium is assumed between the particle and the ambient fluid; • The rebound Particles are considered sticky, i.e., they will stick to the surface when they come in contact with the walls. Considering the low concentration of particles, this widely-used assumption [e.g., in 9,11,14,18], should not affect the results significantly.…”

“…Such system a type of particulate flow, a multiphase system of disperse phase (solid particles) and the carrier phase (ambient fluid). several studies have been carried out to provide a better understanding of such multiphase system using the hybrid Eulerian-Lagrangian methods [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27], where the carrier phase and disperse phase are simulated by Eulerian and Lagrangian approaches (one-way or two-way coupled), respectively. A less typical approach, which is more suitable for denser particulate flows, is based on a continuum description of particle material (a multiphase non-Newtonian multiphase system) solved using an Eulerian-Eulerian or (more recently) LagrangianLagrangian approaches [28,29].…”

“…A less typical approach, which is more suitable for denser particulate flows, is based on a continuum description of particle material (a multiphase non-Newtonian multiphase system) solved using an Eulerian-Eulerian or (more recently) LagrangianLagrangian approaches [28,29]. Afshar et al [9] numerically simulated the dispersion of nanoparticles in slip flow regime with constant heat flux using Eulerian-Lagrangian methods. Their results showed that a decrease in the particle diameter will result in an increase in the heat transfer rate.…”

Eulerian–Lagrangian analysis of solid particle distribution in an internally heated and cooled air-filled cavity

“…Newtonian fluid and two-dimensional flow, Thermophysical properties are constant except for the air density which varies according to the Boussinesq approximation, Following [10,11,29], it is assumed that for such low volume fractions of solid particles considered here the particles have negligible effects on the flow field, The initially stagnant particles are distributed randomly in the cavity, Local thermal equilibrium between the particle and air, Particles are sticky, i.e. they will stick to the surface when they come in contact with the walls [15,19].…”

“…particle deposition on heat exchanger surfaces can reduce the heat transfer rate and adversely affect the energy efficiency of these equipment [8,9]. Therefore, several studies have been carried out to understand this problem using Eulerian-Lagrangian methods [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”