We show that a phenomenological hydrodynamic lattice-gas model of two-phase flow, developed by Rothman and Keller in 1988 and used extensively for numerical simulations since then, can be derived from an underlying model of particle interactions. From this result, we elucidate the nature of the hydrodynamic limit of the Rothman-Keller model.

this article investigates the nonlinear, steady boundary layer flow and heat transfer of an incompressible eyring-powell non-newtonian fluid from an isothermal sphere with biot number effects. the transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-difference keller box technique. the influ...

The present paper investigates the transient mixed convective boundary layer flow of an incompressible non-Newtonian quiescent nanofluid adjacent to a vertical stretching surface. The effects of the Brownian motion and thermophoresis are included for the nanofluid. Using appropriate non-similarity transformations the non-dimensional, coupled and highly non-linear system of equations is solved n...

This paper discusses two-dimensional heat flow of an incompressible non-Newtonian hydromagnetic fluid over a power-law stretching curved sheet. The energy equation the problem considers radiative flux influenced by viscous dissipation and surface frictional heating. Lorentz force Joule heating are taken in consequence applied variable magnetic field satisfying solenoidal nature magnetism. gover...

The current study focuses on the natural-convection flow of nanofluids with boundary layer over a circular cylinder uniform thermal wall varying magnetic force from 0 to 1.5, radiative effects 1, heat generation and Joule heating 1. problem is represented in form partial differential equations. dimensional equations converted into dimensionless help suitable stream functions. Then, resultant ar...

Center for Computational Materials Science, Institute of General Physics, Technical University of Vienna, Getreidemarkt 9/134, A-1060 Vienna, Austria; Department of Physics and Theoretical Chemistry, Facultad de Quomica and Facultad de Estudios Superiores Cuautitlen, Universidad Nacional Autonoma de Mexico, 04510 Mexico D.F., apartado 70-528, Mexico E-mail: [email protected], keller@servi...