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EN
This work uses a thermal non-equilibrium model to study the free convection boundary layer flow from cylinders of elliptic cross-section with uniform suction or injection in a micropolar fluid through a porous medium in the presence of a uniform magnetic field. The transformed conservation equations of the nonsimilar boundary layers are solved numerically by the shooting technique with a fourth-order Runge-Kutta integration scheme and the results compare very well with published results. The results obtained are displayed graphically to illustrate the influences of different physical parameters on the local heat transfer rate (Nusselt number) for the fluid and solid phases, velocity, angular velocity and streamlines.
2
Content available remote Transient free-convective flow in a vertical channel due to symmetric heating
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EN
This paper presents a closed form solution for a transient free convective flow of a viscous and incompressible fluid in a vertical channel due to symmetric heating of channel walls. The Laplace transform technique has been used to obtain the expression for the velocity and temperature fields by solving the governing differential equations. The influence of the physical parameters on the velocity field, skin-friction, rate of heat transfer and volumetric flux of the fluid are carefully analysed. A correlation between the steady state time and the Prandtl number has been developed. It is observed that the nature of correlation is linear when the Prandtl number is greater than one while cubic for the Prandtl number is less than one.
EN
A computational model is presented to explore the properties of heat source, chemically reacting radiative, viscous dissipative MHD flow of an incompressible viscous fluid past an upright cone under inhomogeneous mass flux. A numerical study has been carried out to explore the mass flux features with the help of Crank-Nicolson finite difference scheme. This investigation reveals the influence of distinct significant parameters and the obtained outputs for the transient momentum, temperature and concentration distribution near the boundary layer is discussed and portrayed graphically for the active parameters such as the Schmidt number Sc, thermal radiation Rd, viscous dissipation parameter […], chemical reaction parameter […], MHD parameter M and heat generation parameter ]…]. The significant effect of parameters on shear stress, heat and mass transfer rates are also illustrated.
EN
Numerical studies are performed to examine the Soret, Dufour and viscous dissipation effects on steady MHD, free convection heat and mass transfer from a vertical surface in a doubly stratified Darcy porous medium. The non-linear partial differential equations, governing the problem under consideration, have been transformed by a similarity transformation into a system of ordinary differential equations, which is solved numerically by using the implicit finite difference scheme. The effects of various parameters on the flow field have been examined. The results for the wall temperature and concentration obtained are presented for various values of the parameters Le, N, M, Ec, Sr, Df, [...].
EN
A study of the temperature jump boundary condition is made on a three dimensional free convection flow between two vertical parallel porous flat plates. At the stationary plate there is a transverse sinusoidal injection and its corresponding removal is at the other plate. Using series expansion, the expressions for velocity and temperature distributions, the skin friction and rate of heat transfer are obtained. It is observed that an increase in the jump temperature increases the Nusselt number at the stationary plate.
EN
The aim of this paper is to investigate the effect of thermal stratification together with variable viscosity on free convection flow of non-Newtonian fluids along a nonisothermal semi infinite vertical plate embedded in a saturated porous medium. The governing equations of continuity, momentum and energy are transformed into nonlinear ordinary differential equations using similarity transformations and then solved by using the Runge-Kutta-Gill method along with shooting technique. Governing parameters for the problem under study are the variable viscosity, thermal stratification parameter, non-Newtonian parameter and the power-law index parameter.The velocity and temperature distributions are presented and discussed. The Nusselt number is also derived and discussed numerically.
EN
The numerical investigation of the effects of radiation and chemical reaction on an unsteady MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical porous plate taking into account the viscous dissipation effect has been carried out. The fluid is considered a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing equations for this investigation are solved numerically by applying the Ritz finite element method. Numerical results for the velocity profiles, temperature profiles and concentration profiles as well as the skin-friction are presented through graphs and tables for different values of the physical parameters involved. Results obtained show a decrease in the temperature and velocity in the boundary layer as the radiation parameter increased. The velocity increases with an increase in the thermal and mass Grashof numbers and decreases with an increase in the magnetic parameter. Further, the concentration and velocity decreases with increasing the Schmidt number and chemical reaction parameter. These findings are in very good agreement with the studies reported earlier.
EN
An analytical solution of an MHD free convective thermal diffusive flow of a viscous, incompressible, electrically conducting and heat-absorbing fluid past a infinite vertical permeable porous plate in the presence of radiation and chemical reaction is presented. The flow is considered under the influence of a magnetic field applied normal to the flow. The plate is assumed to move with a constant velocity in the direction of fluid flow in slip flow regime, while free stream velocity is assumed to follow the exponentially increasing small perturbation law. The velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number distributions are derived and have shown through graphs and tables by using the simple perturbation technique.
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