Ifsana Karim

Unsteady MHD free convection boundary-layer flow of a nanofluid along a stretching sheet with thermal radiation and viscous dissipation effects

In this work, we study the unsteady free convection boundary-layer flow of a nanofluid along a stretching sheet with thermal radiation in the presence of magnetic field. To obtain non-similar equations, continuity, momentum, energy, and concentration equations have been non-dimensionalized by usual transformation. The non-similar solutions are considered here which depend on the magnetic parameter M, radiation parameter R, Prandtl number Pr, Eckert number Ec, Lewis number Le, Brownian motion parameter Nb, thermophoresis parameter Nt, and Grashof number Gr. The obtained equations have been solved by an explicit finite difference method with stability and convergence analysis. The velocity, temperature, and concentration profiles are discussed for different time steps and for the different values of the parameters of physical and engineering interest.

Explicit numerical study of unsteady hydromagnetic mixed convective nanofluid flow from an exponentially stretching sheet in porous media

A numerical investigation of unsteady magnetohydrodynamic mixed convective boundary layer flow of a nanofluid over an exponentially stretching sheet in porous media, is presented. The transformed, non-similar conservations equations are solved using a robust, explicit, finite difference method (EFDM). A detailed stability and convergence analysis is also conducted. The regime is shown to be controlled by a number of emerging thermophysical parameters i.e. combined porous and hydromagnetic parameter (R), thermal Grashof number (Gr), species Grashof number (Gm), viscosity ratio parameter (Λ), dimensionless porous media inertial parameter (∇), Eckert number (Ec), Lewis number (Le), Brownian motion parameter (Nb) and thermophoresis parameter (Nt). The flow is found to be accelerated with increasing thermal and species Grashof numbers and also increasing Brownian motion and thermophoresis effects. However, flow is decelerated with increasing viscosity ratio and combined porous and hydromagnetic parameters. Temperatures are enhanced with increasing Brownian motion and thermophoresis as are concentration values. With progression in time the flow is accelerated and temperatures and concentrations are increased. EFDM solutions are validated with an optimized variational iteration method. The present study finds applications in magnetic nanomaterials processing.

MHD boundary layer radiative, heat generating and chemical reacting flow past a wedge moving in a nanofluid

The present study analyzed numerically magneto-hydrodynamics (MHD) laminar boundary layer flow past a wedge with the influence of thermal radiation, heat generation and chemical reaction. This model used for the momentum, temperature and concentration fields. The principal governing equations is based on the velocity uw(x) in a nanofluid and with a parallel free stream velocity ue(x) and surface temperature and concentration. Similarity transformations are used to transform the governing nonlinear boundary layer equations for momentum, thermal energy and concentration to a system of nonlinear ordinary coupled differential equations with fitting boundary conditions. The transmuted model is shown to be controlled by a number of thermo-physical parameters, viz. the magnetic parameter, thermal convective parameter, mass convective parameter, radiation-conduction parameter, heat generation parameter, Prandtl number, Lewis number, Brownian motion parameter, thermophoresis parameter, chemical reaction parameter and pressure gradient parameter. Numerical elucidations are obtained with the legendary Nactsheim-Swigert shooting technique together with Runge–Kutta six order iteration schemes. Comparisons with previously published work are accomplished and proven an excellent agreement.

Possessions of Chemical Reaction on MHD Heat and Mass Transfer Nanofluid Flow on a Continuously Moving Surface

A two-dimensional steady flow of an electrically conducting, viscous incom pressible nanofluid past a continuously moving surface is considered in the presence of uniform transverse magnetic field with chemical reaction. A mathematical governing model has developed for the momentum, temperature and concentration boundary layer. Similarity transformations using to modify the boundary layer equations. Whereas this prominent transformations are used to transform the principal nonlinear boundary layer equations for momentum, thermal energy and concentration to a system of nonlinear or dinary coupled differential equations with fitting boundary conditions. The coupled differential equations are numerically simulated using the famousNactsheim-Swigert shooting technique together with Runge-Kutta six order iteration schemes. Pertinent results with respect to embedded parameters are displayed graphically for the velocity, temperature and concentration profiles and were discussed quantitatively. Skin -friction, Heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) are il lustrated for the various important parameters entering into the problem separately are discussed with the help of graphs. Finally for the accuracy of the present results a c omparison with previously published research work are accomplished and proven an e xcellent agreement.

MHD flow of fluid over a rotating inclined permeable plate with variable reactive index

MHD free convection, heat and mass transfer flow over a rotating inclined permeable plate with the influence of magn etic field, thermal radiation and chemical reaction of various order has been investigated numerically. The governing boundary - layer equations are formulated and transformed into a set of similarity equations with the help of similarity variables derived b y lie group transformation. The governing equations are solved numerically using the Nactsheim - Swigert Shooting iteration technique together with the Runge - Kutta six order iteration schemes. The simulation results are presented graphically to illustrate in fluence of magnetic parameter