In this paper, the unsteady flow of two immiscible fluids with heat transfer is studied numerically with a modified cubic B-spine Differential Quadrature Method. Generalized Couette two immiscible dusty (fluid-particle suspension) and pure (Newtonian) are considered through rigid horizontal channels for three separate scenarios: first non-porous plates heat transfer, second porous uniform s...

A multiphase lattice Boltzmann model is constructed to numerically solve the one-fluid flow equations for immiscible fluids. The method features one solver macroscopic pressure and momentum another a scalar field that captures sharpens interface. surface tension set priori independently of other parameters. interface capillary tensor embedded within moments equation so its divergence captured l...