Lattice Boltzmann method for slip flow heat transfer in circular microtubes: Extended Graetz problem

Free convective flow of heat generating fluid through a porous vertical channel with velocity slip and temperature jump

“…Motivated by Zheng et al [12], the main objective of this paper was to investigate the combined effects of partial slip and temperature jump on the free convective flow of heat generating and absorbing fluid through a micro-channel thereby extending the work done in [8] to a micro-channel. More details on velocity slip and temperature jump can be found in the work by Haddad et al [13,14], Hooman et al [15], Chen [16] and Aziz [17].…”

A joint lattice Boltzmann and molecular dynamics investigation for thermohydraulical simulation of nano flows through porous media

“…Because the LBM is a mesoscopic method which can be considered as a particle based method and at the same time is independent of actual number of molecules, it require less computational resources for low Kn flows. Recently there have been attempts to use the LBM for gaseous flows in slip flow regime (micro scale) [6][7][8][9][10][11][12][13][14][15][16][17][18] but only a few papers can be mentioned for the use of LBM in transition regime (nano scale) [19][20][21][22][23][24][25][26]. In our previous work, we proposed a modified thermal lattice LBM, in which a new effective relaxation time is defined as a function of the Knudsen number, which can simulate wide range of thermal flow regimes.…”

Non-isothermal rarefied gas flow in microtube with constant wall temperature

“…Several authors examined extended Graetz problem of rarefied gas flow in microtube. [9][10][11] Barisik et al 9 solved problem analytically, comprising axial conduction and viscous dissipation effects, using Gram-Schmidt orthogonalization technique. Comparative analysis between first and second order slip model of incompressible gas flow, with viscous dissipation and axial heat conduction taken into account, is presented by Aziz and Niedbalski, 10 with combining analytical and numerical approach.…”