Convection Flow Of non-Newtonian Fluid Research Articles

Application of shooting method on MHD thermally stratified mixed convection flow of non-Newtonian fluid over an inclined stretching cylinder

An analysis is made to examine the magnetohydrodynamic mixed convection boundary layer flow of Eyring-Powell fluid brought by an inclined stretching cylinder. Flow field analysis is accounted by thermal stratification phenomena. The temperature is assumed to be higher across the surface of cylinder as compared to ambient fluid. The arising mathematical model regarding Eyring-Powell fluid is governed by interesting physical parameters which includes mixed convection parameter, thermal stratification parameter, heat generation/absorption parameter, curvature parameter, fluid parameters, magnetic field parameter and Prandtl number. The numerical solutions are computed through the application of shooting technique conjunction with fifth order Runge-Kutta algorithm. In addition, numeric values for two unlike geometries namely, plate and cylinder for skin friction coefficient and Nusselt number are presented with the aid graphs and some particular cases are discussed. The present study is validated by establishing comparison with previously published works, which sets a benchmark of quality of shooting method.

Thermal Stratification within Mixed Convection Flow of non-Newtonian Fluid over an Inclined Stretching Cylinder

Thermal Stratification within Mixed Convection Flow of non-Newtonian Fluid over an Inclined Stretching Cylinder

Numerical investigation of MHD free convection flow of a non-Newtonian fluid past an impulsively started vertical plate in the presence of thermal diffusion and radiation absorption

A numerical investigation is carried out on an unsteady MHD free convection flow of a well-known non-Newtonian visco elastic second order Rivlin-Erickson fluid past an impulsively started semi-infinite vertical plate in the presence of homogeneous chemical reaction, thermal radiation, thermal diffusion, radiation absorption and heat absorption with constant mass flux. The presence of viscous dissipation is also considered at the plate under the influence of uniform transverse magnetic field. The flow is governed by a coupled nonlinear system of partial differential equations which are solved numerically by using finite difference method. The effects of various physical parameters on the flow quantities viz. velocity, temperature, concentration, Skin friction, Nusselt number and Sherwood number are studied numerically. The results are discussed with the help of graphs. We observed that the velocity decreases with an increase in magnetic field parameter, Schmidt number, and Prandtl number while it increases with an increase in Grashof number, modified Grashof number, visco-elastic parameter and Soret number. Temperature increases with an increase in radiation absorption parameter, Eckert number and visco-elastic parameter while it decreases with increasing values of radiation parameter, Prandtl number and heat absorption parameter. Concentration increases with increase in Soret number while it decreases with an increase in Schmidt number and chemical reaction parameter.

Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension

Abstract A detailed investigation of two-dimensional mixed convection flow of non-Newtonian fluid due to convectively heated stretching sheet in the presence of dust particles is conducted. The influence of viscous dissipation, nonlinear thermal radiation and non-uniform heat source/sink is considered in the heat transport equation. To simulate the nonlinear thermal radiation effect, the Rosseland approximation has been used. The governing equations are transformed into a set of self-similar nonlinear ordinary differential equations by means of suitable similarity transformations, which are then solved numerically by using Shooting method. The influence of pertinent parameters on the velocity and temperature distributions of both fluid and particle phases inside the boundary layer is observed and discussed in detail. Further, the features of skin friction coefficient and Nusselt number for different values of the governing parameters are also analysed and discussed. Moreover, the numerical results of present study and those existing ones are tabulated for some limiting case.

Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium

The effect of slip condition on MHD free convective flow of non-Newtonian fluid over a nonlinearly stretching sheet saturated in porous medium with Newtonian heating is analyzed. The governing nonlinear coupled partial differential equations with auxiliary conditions are transformed into the system of coupled ordinary differential equations via similarity transformations and then solved numerically using Keller-box method. The results for skin friction coefficient and the reduced Nusselt number are obtained and compared with previous results in the literature and are found to be in excellent agreement. Results show that the slip parameter reduces the velocity of Casson fluid and enhances the shear stress. It is also observed that slip effect is more pronounced on temperature profile in comparison with velocity profile. It is also seen that velocity and dimensionless temperature are increasing functions of Newtonian heating parameter. Further, temperature gradient is an increasing function of thermal buoyancy parameter and Newtonian heating parameter whereas a decreasing function of porosity parameter and nonlinear stretching sheet parameter.

MHD Convective Flow of non-Newtonian Fluid Through Porous Medium over an Oscillating Porous Plate with Suction

This paper investigates the convective flow of an incompressible viscous electrically conducting second grade fluid through a porous medium occupying a semi-infinite region over an oscillating porous plate in presence of a transverse magnetic field with suction. The field equations for the velocity and temperature fields are solved analytically and the expressions for the velocity field, temperature field, skin friction and heat flux are obtained. The effects of permeability parameter, magnetic parameter/Hartmann number, Prandtl number, heat source parameter and suction parameter on the velocity field u are illustrated graphically. The influence of suction parameter, Prandtl number and heat source parameter S on temperature field is analyzed with the help of figures. Furthermore the effects of permeability parameter and magnetic parameter on skin friction are shown diagrammatically.

Influence of thermophoretic particle deposition on MHD free convection flow of non-Newtonian fluids from a vertical plate embedded in porous media considering Soret and Dufour effects

This study numerically investigates the combined heat and mass transfer of an electrically conducting, non-Newtonian power-law fluid in MHD free convection adjacent to a vertical plate within a porous medium in the presence of the thermophoresis particle deposition effect. The governing boundary layer equations along with the boundary conditions have been first transformed by a similarity transformation into a set of coupled, non-linear ordinary differential equations, and the resulting similarity equations are then solved by the local adaptive differential quadrature method (La-DQM). Some important parameters have been discussed in this study, which include the magnetic parameter Ma, the buoyancy ratio N, the Dufour number Df and the Soret number Sr. Effects of these major parameters on the fluid, heat and mass transfer processes are carried out. The results indicate that the wall friction decreases as the magnetic parameter increases or the buoyancy ratio decreases. Increasing the Soret number or decreasing the Dufour number tends to decrease the temperature distribution inside the boundary, but tends to increase the concentration variation. In addition, the thermophoretic deposition velocity decreases as the magnetic parameter or the Dufour number increases, while it increases as the buoyancy ratio or the Soret number increases.

Mixed Convection Flow of Non-Newtonian Fluid from Vertical Surface Saturated in a Porous Medium Filled with a Nanofluid

The problem of steady, laminar, mixed convection flow of a non-Newtonian fluid past a preamble vertical flat plate embedded in a porous medium saturated with a nanofluid is considered. A mixed convection parameter for the entire range of free-forced-mixed convection is employed and a set of non-similar equations are obtained. These equations are solved numerically by an efficient implicit, iterative, finite-difference method. The obtained results are checked against previously published work for special cases of the problem and are found to be in good agreement. A parametric study illustrating the influence of the various physical parameters on the velocity, temperature and nanoparticle volume fraction profiles as well as the local Nusselt and Sherwood numbers is conducted. The obtained results are illustrated graphically and the physical aspects of the problem are discussed.

Hall Effect on Oscillatory Hydromagnetic Free Convective Flow of a Non-Newtonian Fluid past an Infinite Vertical Porous Flat Plate with Heat Sources / Sink and Constant Suction

This paper deals with the hall effect on oscillatory hydromagnetic free convective flow of non-Newtonian fluid past an infinite vertical porous flat plate with heat sources/sinks. In the formulation part, equations of continuity, motion and energy have been developed. These equations have been made dimensionless with the introduction of non-dimensional parameters concerned and solved applying complex variable technique under the boundary conditions employed. Profiles of primary velocity, secondary velocity and temperature have been plotted after computerization with the numerical values of the non-dimensional parameters. The values of skin frictions and the rates of heat transfer have been entered in the tables. It is observed that both the primary and secondary velocity increase with the increase of the non-Newtonian parameters (Rc) as well as the reciprocal of the porosity parameters (1/K*). The temperature of the fluid falls with the Prandtl number (Pr).

Soret and Dufour effects on free convection flow of non-Newtonian fluids along a vertical plate embedded in a porous medium with thermal radiation

This article numerically studies the combined laminar free convection flow with thermal radiation and mass transfer of non-Newtonian power-law fluids along a vertical plate within a porous medium. The solution takes the diffusion-thermo (Dufour), thermal-diffusion (Soret), thermal radiation and power-law fluid index effects into consideration. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a similarity transformation and the resulting coupled differential equations are then solved by the differential quadrature method (DQM). The effects of the radiation parameter R, the power-law index n, the Dufour number D f, and the Soret number S r on the fluid flow, thermal and concentration fields are discussed in detail. The results indicate that when the buoyancy ratio of concentration to temperature is positive, N > 0, the local Nusselt number increases with an increase in the power-law index and the Soret number or a decrease in the radiation parameter and the Dufour number. In addition, the local Sherwood number for different values of the controlling parameters is also obtained.

Non-Darcy Mixed Convection Flow of Non-Newtonian Fluids on a Vertical Surface in a Saturated Porous Medium

Non-Darcy Mixed Convection Flow of Non-Newtonian Fluids on a Vertical Surface in a Saturated Porous Medium

Radiative Free Convective Non-Newtonian Fluid Flow past a Wedge Embedded in a Porous Medium

An isothermal boundary layer analysis is presented for the convection flow of a second-order non-Newtonian fluid past a two-dimensional wedge embedded in a non-Darcian porous medium in the presence of significant thermal radiation, surface transpiration and Eckert viscous heating. Nonsimilar numerical solutions are generated for the shear stresses and local heat transfer rates at the surface of the wedge using the Keller difference technique extended to a higher matrix order. It is found that the heat transfer magnitude is enhanced by an increase in the radiative flux parameter (Boltzmann-Rosseland number, Bo), but depressed considerably with an increase in the viscoelasticity of the second-order fluid parameter, K. The surface shear stresses are markedly decreased with rise in the viscoelasticity parameter K. Conversely, surface lateral mass flux (transpiration) is seen to lower the shear stresses at the surface and to greatly boost the heat transfer there. The effects of Eckert heating are also presented graphically and discussed.

Free convection of a power-law fluid over the vertical frustum of a cone

The problem of laminar free convection flow of non-Newtonian fluids from an isothermal vertical frustum of a cone is treated in this paper. The governing differential equations are solved numerically with a very efficient finite-difference scheme. Solutions are obtained for a range of the flow index n, Prandtl number Pr and streamwise coordinate χ. The model may serve as a predictive tool for solving industrial problems related to processing of polymeric liquids.

Analytic solutions for the mixed convection flow of non-newtonian fluids in parallel plate ducts

The modelling of laminar, fully-developed, combined convection flows of non- Newtonian fluids in a vertical parallel-plate duct, where the walls are held at asymmetric uniform temperatures is considered. For this fully-developed flow model, the momentum, continuity and energy equations are solved analytically for the Bingham Plastic rheology and for the limiting case of Power Law fluids. It is shown that different flow configurations exist depending on the buoyancy parameter, Grashof/Reynolds, which include flow reversal for both rheologies, and unsheared plug flow adjacent to the cold wall for the Bingham Plastic.

Free Convection Flow of Non-Newtonian Fluids Along a Vertical Plate Embedded in a Porous Medium

The problem of free convection flow of a non-Newtonian power law fluid along an isothermal vertical flat plate embedded in the porous medium is considered in the present study. The physical coordinate system is shown schematically in Fig 1. In the present study, it is assumed that the modified Darcy law and the boundary layer approximation are applicable. This implies that the present solutions are valid at a high Rayleigh number. With these simplifications, the governing partial nonlinear differential equations can be transformed into a set of coupled ordinary differential equations which can be solved by the fourth-order Runge-Kutta method. Algebraic equations for heat transfer rate and boundary layer thickness as a function of the prescribed wall temperature and physical properties of liquid-porous medium are obtained. The similarity solutions can be applied to problems in geophysics and engineering. The primary purpose of the present study is to predict the characteristics of steady natural convection heat transfer using the model of the flow of a non-Newtonian power law fluid in a porous medium given by Dharmadhikari and Kale (1985). Secondly, the effects of the new power law index n on heat transfer are investigated.

Hydrodynamic stability of convective flow of a non-Newtonian fluid in a vertical layer

Steady convective non-Newtonian fluid flow and its stability under small perturbations are investigated.

Possible similarity solutions of the laminar natural convection flow of non-newtonian fluids

Possible similarity solutions of the laminar natural convection flow of non-newtonian fluids