In the present study, magnetohydrodynamics (MHD) bio-convective flow and heat transfer of nanofluid, due to swimming gyrotactic micro-organisms over a curved stretched sheet, is examined. addition, thermophoresis Brownian motion behaviors are also investigated by assuming slip conditions at boundary. A non-linear system partial differential equations (PDEs) reduced ordinary (ODEs). For converge...

Abstract In this study, a mathematical model is developed to scrutinize the transient magnetic flow of Cross nanoliquid past stretching sheet with thermal radiation effects. Binary chemical reactions and heat source/sink effects along convective boundary condition are also taken into consideration. Appropriate similarity transformations utilized transform partial differential equations (PDE’s) ...

The analytic, open-form solution for the steady-state, 2-dimensinal partial differential equation describing the concentration profile for the gas solute in a falling liquid film flowing under a steady-state laminar condition was shown. The overall mass transfer coefficient, c k , for a binary diffusion system, was evaluated in light of the analytic solution and was tested for oxygen absorption...

In this paper, a numerical study is presented for the 3D mathematical model of bioconvective boundary layer flow having nanoparticles and motile microorganisms on curved sheet under isothermal conditions. Using an appropriate choice similarity transformations, problem reduces to coupled ordinary nonlinear equations, system then treated with bvp4c (a MATLAB-based solver) get desired solution goo...

In this study, the influences of pressure, temperature and equivalence ratio on onset cellular instabilities in premixed hydrogen/air laminar flames were studied using a constant volume fan-stirred combustion vessel. The instability is marked by critical stretch rate, at which flame speed rapidly deviates from its prior response to stretch. It noted that Peclet number, Pecl, increases with incr...

In this paper we present the numerical simulation-based design of a new microfluidic device concept for electrophoretic mobility and (relative) concentration measurements of dilute mixtures. The device enables stationary focusing points for each species, where the locally applied pressure driven flow (PDF) counter balances the species’ electrokinetic velocity. The axial location of the focusing...

We present a fully conservative, high-resolution, nite volume algorithm for advection-diiusion equations in irregular geometries. The algorithm uses a Cartesian grid in which some cells are cut by the embedded boundary. A novel feature is the use of a \capacity function" to model the fact that some cells are only partially available to the uid. The advection portion then uses the explicit wave-...

The stochastic transport of suspended particles through a periodic pattern of obstacles in microfluidic devices is investigated by means of the Fokker-Planck equation and numerical simulations. Asymmetric arrays of obstacles have been shown to induce the continuous separation of DNA molecules, with particles of different size migrating in different directions within the microdevice (vector sepa...

Petroleum reservoir engineering requires solutions to the transient diffusion and convection-diffusion equations. Traditionally these calculations are carried out using finite difference methods. Prior workers have used perturbation-based boundary element methods for single phase flow in heterogeneous media. The current work applies the Dual Reciprocity Boundary Element Method (DRBEM) and the G...