A Numerical Model for Analysis of Heat Transfer in MHD Casson Fluid with Radiation and Viscous Dissipation

This article is, concerned a numerical model for analysis of heat transfer (HT) in MHD Casson fluid (CF) with radiation and viscous dissipation. The governing PDE's are developed for the physical model and converted into non-dimensional form and then with the help of Galerkin finite element method (GFEM) solution is obtained. The impact of dimensionless parameters which are supervising the flow such as Magnetic parameter  , Casson parameter ( )  thermal Grashof number Permeability of porous medium    Prandtl number Heat absorption parameter  Viscous dissipation   and Radiation parameter  are analyzed through graphs for fluid properties. The  results obtained were compared with earlier reported results for correctnes

A Numerical Model for Analysis of Heat Transfer in MHD Casson Fluid with Radiation and Viscous Dissipation

This article is, concerned a numerical model for analysis of heat transfer (HT) in MHD Casson fluid (CF) with radiation and viscous dissipation. The governing PDE's are developed for the physical model and converted into non-dimensional form and then with the help of Galerkin finite element method (GFEM) solution is obtained. The impact of dimensionless parameters which are supervising the flow such as Magnetic parameter  , Casson parameter ( )  thermal Grashof number Permeability of porous medium    Prandtl number Heat absorption parameter  Viscous dissipation   and Radiation parameter  are analyzed through graphs for fluid properties. The  results obtained were compared with earlier reported results for correctnes

Numerical study of heat transfer enhancement in MHD free convection flow over vertical plate utilizing nanofluids

AbstractA comprehensive numerical study of heat transfer enhancement in MHD free convection flow over vertical plate utilizing nanofluids has been carried out. Problem is formulated by using nanofluid volume fraction model by considering water based nanofluids containing copper and aluminum oxide. The transformed coupled, nonlinear dimensionless partial differential equations are solved numerically by using finite element method. The influence of pertinent physical parameters on velocity and temperature profiles is discussed and depicted with the aid of graphs. Finally, the numerical values of skin friction and Nusselt number within the flow regime are compared with the previously published work to ensure the correctness of this numerical scheme and an excellent agreement is obtained

Heat and Mass Transfer On MHD Flow Problems with Hall and Ion Slip Effects On Exponentially Accelerated Plate

We in this paper intended to investigate heat and mass transfer for MHD free convective flow for exponentially accelerated plate. The effects of Ion slip and Hall are studied considering variable temperatures, concentration, and angle of inclination. We applied finite element analysis for solving governing equations. Flow velocity, concentration and temperature’s graphical profiles are examined for non-dimensional parameters. Flow reversal is prevented due to magnetic field, is observed. Velocity experiences retarding effect due to angle of inclination, this helps in acknowledging drag force in seepage flow

Heat and Mass Transfer On MHD Flow Problems with Hall and Ion Slip Effects On Exponentially Accelerated Plate

We in this paper intended to investigate heat and mass transfer for MHD free convective flow for exponentially accelerated plate. The effects of Ion slip and Hall are studied considering variable temperatures, concentration, and angle of inclination. We applied finite element analysis for solving governing equations. Flow velocity, concentration and temperature’s graphical profiles are examined for non-dimensional parameters. Flow reversal is prevented due to magnetic field, is observed. Velocity experiences retarding effect due to angle of inclination, this helps in acknowledging drag force in seepage flow

Oscillatory dissipative conjugate heat and mass transfer in chemically-reacting micropolar flow with wall couple stress : a finite element numerical study

High temperature non-Newtonian materials processing provides a stimulating area for process engineering simulation. Motivated by emerging applications in this area, the present article investigates the time-dependent free convective flow of a chemically-reacting micropolar fluid from a vertical plate oscillating in its own plane adjacent to a porous medium. Thermal radiative, viscous dissipation and wall couple stress effects are included. The Rosseland diffusion approximation is used to model uni-directional radiative heat flux in the energy equation. Darcy’s model is adopted to mimic porous medium drag force effects. The governing two-dimensional conservation equations are normalized with appropriate variables and transformed into a dimensionless, coupled, nonlinear system of partial differential equations under the assumption of low Reynolds number. The governing boundary value problem is then solved under physically viable boundary conditions numerically with a finite element method based on the weighted residual approach. Graphical illustrations for velocity, micro-rotation (angular velocity), temperature and concentration are obtained as functions of the emerging physical parameters i.e. thermal radiation, viscous dissipation, first order chemical reaction parameter etc. Furthermore, friction factor (skin friction), surface heat transfer and mass transfer rates have been tabulated quantitatively for selected thermo-physical parameters. A comparison with previously published paper is made to check the validity and accuracy of the present finite element solutions under some limiting cases and excellent agreement is attained. Additionally, a mesh independence study is conducted. The model is relevant to reactive polymeric materials processing simulation

Heat and Mass Transfer on the MHD Flow of Micro Polar Fluid in the Presence of Viscous Dissipation and Chemical Reaction

AbstractThis paper considers the heat and mass transfer flow of magneto hydrodynamic micro polar fluid in the presence of viscous dissipation and chemical reaction. The governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using the finite element method. The numerical results are compared and found to be in good agreement with previous results as special case of (viscous dissipation) the present investigation. The influence of various flow parameters of flow field has been discussed and explained graphically

Numerical study of heat transfer enhancement in MHD free convection flow over vertical plate utilizing nanofluids

A comprehensive numerical study of heat transfer enhancement in MHD free convection flow over vertical plate utilizing nanofluids has been carried out. Problem is formulated by using nanofluid volume fraction model by considering water based nanofluids containing copper and aluminum oxide. The transformed coupled, nonlinear dimensionless partial differential equations are solved numerically by using finite element method. The influence of pertinent physical parameters on velocity and temperature profiles is discussed and depicted with the aid of graphs. Finally, the numerical values of skin friction and Nusselt number within the flow regime are compared with the previously published work to ensure the correctness of this numerical scheme and an excellent agreement is obtained. Keywords: Magnetohydrodynamic, Nanofluid, Viscous dissipation, Radiation, Finite Element Metho

Diffussion-thermo and chemical reaction effects on an unsteady MHD free convection flow in a micropolar fluid

This paper considers a boundary layer analysis on the effects of diffusion-thermo, heat absorption and homogeneous chemical reaction on mag- netohydrodynamic flow of an incompressible, laminar chemically reacting mi- cropolar fluid past a semi-infinite vertical porous plate is made numerically. The governing partial differential equations are solved numerically using the finite element method. The numerical results are compared and found to be in good agreement with previous results as special case of the present inves- tigation. The effects of the various important parameters entering into the problem on the velocity, microrotation, temperature and concentration fields within the boundary layer are discussed and explained graphically. Also the effects of the pertinent parameters on the local Skin friction coefficient, wall Couple stress and rates of heat and mass transfer in terms of the local Nusselt and Sherwood numbers are presented numerically in tabular form