The method of lattice boltzmann equation(LBE) is a kinetic-based approach for fluid flow computations. In the last decade, minimal kinetic models, and primarily the LBE, have met with significant success in the simulation of complex hydrodynamic phenomena, ranging from slow flows in grossly irregular geometries to fully developed turbulence, to flow with dynamic phase transitions. In the presen...

We develop a theory for stick-slip motion in ultrathin liquid films confined between two moving atomically flat surfaces. Our model is based on the hydrodynamic equation for flow coupled to the dynamic order parameter field describing the ‘‘shear melting and freezing’’ of the confined fluid. This model successfully accounts for the observed phenomenology of friction in ultrathin films, includin...

Nonlinearity in finite-Reynolds-number flow results in particle migration transverse to fluid streamlines, producing the well-known "tubular pinch effect" in cylindrical pipes. Here we investigate these nonlinear effects in highly confined systems where the particle size approaches the channel dimensions. Experimental and numerical results reveal distinctive dynamics, including complex scaling ...

a new mathematical model for identifying pollution sources in aquifers is presented. the model utilizes lagrange constrained optimization method (lcom) and is capable to inversely solve unsteady fluid flow in saturated, heterogeneous, anisotropic confined and/or unconfined aquifers. throughout the presented model, complete advection-dispersion equation, including the adsorption as well as retar...

Jet impingement heat transfer is an effective and practical approach that is employed in many industrial processes where heating, cooling, or drying is required. Details of the heat or mass transfer rate have been investigated both experimentally and numerically and can be found in the published literature. In most of the numerical studies, control-volume approach has been employed to solve the...