A phase-field model for dendritic growth under coupled thermo-solutal control model is presented. Constructed in the quantitatively valid thin-interface limit the model uses advanced numerical techniques such as mesh adaptivity, multigrid and implicit time-stepping to solve the non-isothermal alloy solidification problem for materials parameters that are realistic for metals. Using this model w...

We exploited the viscoelasticity of biocompatible dilute polymeric solutions, namely, dilute poly(ethylene oxide) solutions, to significantly enhance mixing in microfluidic devices at a very small Reynolds number, i.e., Re approximately 0.023, but large Peclet and elasticity numbers. With an abrupt contraction microgeometry (8:1 contraction ratio), two different dilute poly(ethylene oxide) solu...

Despite the growing popularity of Lattice Boltzmann schemes for describing multi-dimensional flow and transport governed by non-linear (anisotropic) advectiondiffusion equations, there are very few analytical results on their stability, even for the isotropic linear equation. In this paper, the optimal two-relaxation-time (OTRT) model is defined, along with necessary and sufficient (easy to use...

We study the efficiency of shrinking/stretching radiative fins to improve heat transfer rate. To evaluate competence suggested fins, influence shrinking/stretching, thermogeometric parameters, surface temperature, convection conduction, radiation and Peclet number is investigated. The problem solved numerically using a shooting method. validate numerical solution, results are compared with solu...

We consider a phase-field model for the incompressible flow of two immiscible fluids. This extends widespread models fluid phases by including third, solid phase, which can evolve due to e.g. precipitation and dissolution. simple, two-dimensional geometry thin strip, still be seen as representation single pore throat in porous medium. Under moderate assumptions on Peclet number capillary number...

The current study simulated the three-dimensional Williamson nanofluid flow model over a stretching sheet in presence of Cason parameter explored with hybrid carbon nanotubes. governing equations are modelled and interpreted using adequate similarity transformations physical phenomena to convert into nonlinear coupled ordinary differential equations. In order solve these equations, Python codin...

A theory of a fast binary chemical reaction, A+B-->C, in a statistically stationary bounded chaotic flow at large Peclet number Pe and large Damköhler number Da is described. The first stage correspondent to formation of the developed lamellar structure in the bulk part of the flow is terminated by an exponential decay, proportional, variant exp((-lambdat) (where lambda is the Lyapunov exponent...

In the present work, forced convection heat transfer of slip flow in porous micro-tubes with local thermal non-equilibrium between the gas and the solid matrix is investigated numerically. For this purpose, the flow is considered hydrodynamically developed but thermally developing. The Darcy-Brinkman-Forchheimer model in conjunction with separate energy equations for the gas and the solid matri...