We develop the fundamentals in rule-based mathematics and physics dealing with nanoscale transport processes and apply our formulations to the design of nano/information technology systems. We showcase the versatility of lattice Boltzmann method (LBM) as a tool to simulate apparently different...

In recent years, the lattice Boltzmann method (LBM) has become an alternative and attractive approach to simulate numerous fluid flow problems. A colloidal mixture of nano-sized particles in a base liquid called nanofluid, which is the new generation of heat transfer fluid for various heat...

In this paper, a rigid thickless lamina is immersed in a quiescent viscous fluid and it undergoes transverse finite amplitude harmonic oscillations near a solid surface. The surrounding flow physics is computed through the lattice Boltzmann method. In order to account for the presence of the...

In this paper, the Immersed Moving Boundary-Lattice Boltzmann (IMB-LB) method is compared with the single relaxation time and multiple-relaxation-time versions of the Immersed Boundary-Lattice Boltzmann (IB-LB) method in terms of the amount of numerical velocity slip produced on solid...

A comprehensive numerical model was developed to predict the electrochemical performance of solid oxide fuel cell (SOFC). The multi-component Lattice Boltzmann (LB) model based on kinetic theory for gas mixtures combined with a representative elementary volume (REV) scale LB algorithm based on...

In this study, free convection heat transfer in a concentric annulus between a cold square and heated elliptic cylinders in presence of magnetic field is investigated. The square and elliptic cylinders are maintained at uniform temperatures and it is assumed that the walls are insulating...

In this paper, a new lattice Boltzmann model for the coupled nonlinear system of viscous Burgers’ equation is proposed by using the double evolutionary equations. Through selecting equilibrium distribution functions and amending functions properly, the governing evolution system can be...

Lattice Boltzmann simulations of a particulate suspension in plane Poiseuille flow and two-dimensional bifurcation flow are conducted to investigate the blood cell behavior at microvascular bifurcations. The simulation results of Poiseuille flow at a low hematocrit reveal that particles are...

A fractional step lattice Boltzmann scheme is presented to greatly improve the stability of the lattice Boltzmann method (LBM) in modelling incompressible flows at high Reynolds number. This method combines the good features of the conventional LBM and the fractional step technique. Through the...

Lattice Boltzmann simulations of three-dimensional drops spreading on a uniform solid surface will be discussed. It will be shown that, if the liquid–liquid interface is sufficiently thick, the contact line velocities obtained from the simulations agree well with theoretical predictions based...