In this paper magnetohydrodynamic free convection flow of CuO–water nanofluid in a square enclosure with a rectangular heated body is investigated numerically using Lattice Boltzmann Method (LBM) scheme. The effective thermal conductivity and viscosity of nanofluid are calculated by KKL...

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...

Gaseous flow and heat transfer in micro-channels are simulated by the lattice Boltzmann method (LBM). Thermal LB model with viscous heat dissipation has been adopted in the simulation. A new boundary treatment is proposed based on macro variables in order to capture the velocity slip and...

A three-dimensional multispeed thermal model of the finite difference lattice Boltzmann method (FDLBM) is proposed. In the FDLBM we can select particle velocities independently from the lattice configuration. Particle velocities of the proposed model consist of vectors pointing to the vertex...

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...

The classical Chapman–Enskog expansion is performed for the recently proposed finite-volume formulation of lattice Boltzmann equation (LBE) method [D.V. Patil, K.N. Lakshmisha, Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh, J. Comput. Phys. 228 (2009)...

A new multiphase lattice Boltzmann model based on the cascaded collision operator is developed to study the spinodal decomposition of critical quenches in the inertial hydrodynamic regime. The proposed lattice Boltzmann model is able to investigate simulations of multiphase spinodal...

In this paper, a lattice Boltzmann model with an amending function is proposed for the generalized Kuramoto–Sivashinsky equation that has the form ut+uux+αuxx+βuxxx+γuxxxx=0. With the Chapman–Enskog expansion, the governing evolution equation is recovered correctly from the continuous...

A new lattice Boltzmann model within the framework of D2Q9 lattices for Bingham plastics is proposed. The essence of the present model lies in incorporation of the effect of local shear rate into the lattice equilibrium distribution function. With this arrangement, particle distribution...

We present the numerical results of simulations of complex fluids under shear flow. We employ a mixed approach which combines the lattice Boltzmann method for solving the Navier–Stokes equation and a finite difference scheme for the convection–diffusion equation. The evolution in time of...