Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid

This article studies the Soret and Dufour effects on the magnetohydrody- namic （MHD） flow of the Casson fluid over a stretched surface. The relevant equations are first derived, and the series solution is constructed by the homotopic procedure. The results for velocities, temperature, and concentration fields are displayed and discussed. Numerical values of the skin friction coefficient, the Nusselt number, and the Sherwood number for different values of physical parameters are constructed and analyzed. The convergence of the series solutions is examined.

Mixed convective heat and mass transfer analysis for peristaltic transport in an asymmetric channel with Soret and Dufour effects

The present investigation addresses the simultaneous effects of heat and mass transfer in the mixed convection peristaltic flow of viscous fluid in an asymmetric channel. The channel walls exhibit the convective boundary conditions. In addition, the effects due to Soret and Dufour are taken into consideration. Resulting problems are solved for the series solutions. Numerical values of heat and mass transfer rates are displayed and studied. Results indicate that the concentration and temperature of the fluid increase whereas the mass transfer rate at the wall decreases with increase of the mass transfer Biot number. Furthermore, it is observed that the temperature decreases with the increase of the heat transfer Biot number.

Soret and Dufour Effects on Unsteady Free Convection Fluid Flow in the Presence of Hall Current and Heat Flux

Unsteady MHD natural convective heat and mass transfer flow through a semi-infinite vertical porous plate in a rotating system have been investigated with the combined Soret and Dufour effects in the presence of Hall current and constant heat flux. It is considered that the porous plate is subjected to constant heat flux. The obtained non-dimensional, non-similar coupled non-linear and partial differential equations have been solved by explicit finite difference technique. Numerical solutions for velocities, temperature and concentration distributions are obtained for various parameters by the above mentioned technique. The local and average shear stresses, Nusselt number as well as Sherwood number are also investigated. The stability conditions and convergence criteria of the explicit finite difference scheme are established for finding the restriction of the values of various parameters to get more accuracy. The obtained results are illustrated with the help of graphs to observe the effects of various legitimate parameters.

Soret and Dufour Effects on Unsteady MHD Mixed Convection Flow past a Radiative Vertical Porous Plate Embedded in a Porous Medium with Chemical Reaction

The Soret and Dufour effects on unsteady MHD mixed convection flow past an infinite radiative vertical porous plate embedded in a porous medium in the presence of chemical reaction have been studied. A uniform magnetic field acts perpendicular to the porous surface. The Rosseland approximation has been used to describe the radiative heat flux in energy equation. The governing equations are solved numerically by applying explicit finite difference Method. The effects of various parameters on the velocity, temperature and concentration fields have been examined with the help of graphs.

Soret和Dufour效应耦合对HL-2A偏滤器靶板氘浓度与温度双扩散的影响

在L/H模放电情况下,考虑Soret和Dufour效应耦合影响,用JD-CF程序研究了HL-2A偏滤器靶板中氘粒子浓度、温度、滞留量随时间变化影响。结果表明,在L/H模放电下,Soret和Dufour效应会对不同靶板材料(RAFM钢/钨)内不同位置处氘浓度分布、温度分布、氘滞留量产生一定影响,其最大变化率约为10%。在H模放电下Soret和Dufour效应对靶板的影响比在L模放电下的更明显,且对RAFM钢的影响比对钨的更明显。该研究结果对研究边缘等离子体输运、聚变堆燃料再循环、氚的滞留及投料量有一定参考价值。

Numerical investigation of Dufour and Soret effects on unsteadyMHD natural convection flow past vertical plate embedded innon-Darcy porous medium

The Dufour and Soret effects on the unsteady twodimensional magnetonyaro dynamics （MHD） doublediffusive free convective flow of an electrically conducting fluid past a vertical plate embedded in a nonDarcy porous medium are investigated numeri cally. The governing nonlinear dimensionless equations are solved by an implicit finite difference scheme of the CrankNicolson type with a tridiagonal matrix manipulation. The effects of various parameters entering into the problem on the unsteady dimension less velocity, temperature, and concentration profiles are studied in detail. Furthermore, the time variation of the skin friction coefficient, the Nusselt number, and the Sherwood number is presented and analyzed. The results show that the unsteady velocity, tem perature, and concentration profiles are substantially influenced by the Dufour and Soret effects. When the Dufour number increases or the Soret number decreases, both the skin friction and the Sherwood number decrease, while the Nusselt number increases. It is found that, when the magnetic parameter increases, the velocity and the temperature decrease in the boundary layer.

Mixed Convection Heat and Mass Transfer in a Micropolar Fluid with Soret and Dufour Effects

A mathematical model for the steady,mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a micropolar fluid in the presence of Soret and Dufour effects is presented.The non-linear governing equations and their associated boundary conditions are initially cast into dimensionless forms using local similarity transformations.The resulting system of equations is then solved numerically using the Keller-box method.The numerical results are compared and found to be in good agreement with previously published results as special cases of the present investigation.The non-dimensional velocity,microrotation,temperature and concentration profiles are displayed graphically for different values of coupling number,Soret and Dufour numbers.In addition,the skin-friction coefficient,the Nusselt number and Sherwood number are shown in a tabular form.

Dufour and Soret Effect on Steady MHD Flow in Presence of Heat Generation and Magnetic Field past an Inclined Stretching Sheet

An analysis of two-dimensional steady magneto-hydrodynamic free convection flow of an electrically conducting, viscous, incompressible fluid past an inclined stretching porous plate in the presence of a uniform magnetic field and thermal radiation with heat generation is made. Both the Dufour and Soret effects are considered for a hydrogen-air mixture as the non-chemically reacting fluid pair. The equations governing the flow, temperature and concentration fields are reduced to a system of joined non-linear ordinary differential equations by similarity transformation. Non-linear differential equations are integrated numerically by using Nachtsheim-Swigert shooting iteration technique along with sixth order Runge-Kutta integration scheme. Finally the significance of physical parameters which are of engineering interest are examined both in graphical and tabular form.

MHD Mixed Convection Flow of a Casson Fluid over an Exponentially Stretching Surface with the Effects of Soret, Dufour, Thermal Radiation and Chemical Reaction

The present study deals with MHD (magneto hydrodynamics) mixed convection flow of a Casson fluid over an exponentially stretching sheet with the effects of Soret and Dufour, thermal radiation, chemical reaction. The governing partial differential equations are converted into ordinary differential equations by using similarity transformations. These equations are then solved numerically by applying finite difference scheme known as the Keller Box method. The effects of various parameters on velocity, temperature and concentration profiles are presented graphically to interpret and the results are discussed.

基于Soret和Dufour效应的方腔内双扩散自然对流振荡特性研究

采用格子Boltzmann方法模拟研究了方腔内带Soret效应和Dufour效应的双扩散自然对流振荡特性.方腔内置高浓度发热圆且位于方腔中心,四周壁面均为低温低浓度.采用时间历程分析法和功率谱法分析了不同的浮升力比Br(2.0≤B_r≤10.0)、Soret数Sr(-0.6≤S_r≤0.0)和Dufour数Df(-0.6≤D_f≤0.0)下的方腔内部流动的振荡特性.研究结果表明:不考虑Soret和Dufour效应时,方腔内部流动呈现稳定状态,随着Df和Sr从0.0变化到-0.6,双扩散自然对流状态开始逐渐转变为周期性振荡和非周期性振荡,且振荡性随着浮升力比Br的增大而增强.

Soret效应和Dufour效应对盐梯度太阳池热盐双扩散的影响研究

该文建立盐梯度太阳池数学及物理模型,考虑Soret效应和Dufour效应对热盐双扩散的作用,采用格子Boltzmann方法,以C++为平台分别对速度场、温度场和浓度场进行描述。选取不同的Soret数和Dufour数,得到速度、温度和浓度的微观变化情况,讨论Soret效应和Dufour效应对盐梯度太阳池热盐双扩散的影响。结果表明:Soret效应对传热和传质均具有促进作用;Dufour效应对传热具有一定的抑制作用,对传质具有促进作用,Soret效应比Dufour效应对盐梯度太阳池热盐双扩散的影响作用更强烈。

Cross-diffusive effects on the onset of double-diffusive convection in a horizontal saturated porous fluid layer heated and salted from above

Double-diffusive stationary and oscillatory instabilities at the marginal state in a saturated porous horizontal fluid layer heated and salted from above are investigated theoretically under the Darcy＇s framework for a porous medium. The contributions of Soret and Dufour coefficients are taken into account in the analysis. Linear stability analysis shows that the critical value of the Darcy-Rayleigh number depends on cross-diffusive parameters at marginally stationary convec- tion, while the marginal state characterized by oscillatory convection does not depend on the cross-diffusion terms even if the condition and frequency of oscillatory convection depends on the cross-diffusive parameters. The critical value of the Darcy-Rayleigh number increases with increasing value of the solutal Darcy-Rayleigh number in the absence of cross- diffusive parameters. The critical Darcy-Rayleigh number decreases with increasing Soret number, resulting in destabiliza- tion of the system, while its value increases with increasing Dufour number, resulting in stabilization of the system at the marginal state characterized by stationary convection. The analysis reveals that the Dufour and Soret parameters as well as the porosity parameter play an important role in deciding the type of instability at the onset. This analysis also indicates that the stationary convection is followed by the oscillatory convection for certain fluid mixtures. It is interesting to note that the roles of cross-diffusive parameters on the double-diffusive system heated and salted from above are reciprocal to the double-diffusive system heated and salted from below.

Numerical Analysis of the Influence of Buoyancy Ratio and Dufour Parameter on Thermosolutal Convection in a Square Salt Gradient Solar Pond

Revise the abstract as follows:This work aims to investigate numerically the influence of the buoyancy ratio and the Dufour parameter on thermosolutal convection in a square Salt Gradient Solar Pond(SGSP).The absorption of solar radiation by the saline water,the heat losses and the wind effects via the SGSP free surface are considered.The mathematical model is based on the Navier-Stokes equations used in synergy with the thermal energy equation.These equations are solved using the finite volume method and the Gauss algorithm.Velocity-pressure coupling is implemented through the SIMPLE algorithm.Simulations of the SGSP are performed for three values of buoyancy ratio(N=1,2 and 10),three values of Dufour parameter(Df?0,0.2 and 0.8)and some sample meteorological data(Tangier,Morocco).Results show that the highest dimensionless temperature of the storage zone is found for N=10.In the same zone and for the same value of N,the dimensionless salt concentration decreases very slightly versus time(unlike for N=1 or 2).Moreover,increasing Df from 0 to 0.8 causes a decrease in the dimensionless temperature of the SGSP storage zone and this decrease is more pronounced for N=1 and N=2.

Chemical Reaction and Thermal Diffusion Effects on Mass Transfer Flow through an Inclined Plate

A numerical investigation of boundary layer mass transfer flow through an inclined plate with the effect of chemical reaction and thermal diffusion is presented in this study. The governing partial differential equations (PDE) are transformed to a system of dimensionless non-similar coupled PDEs. The transformed, non-similar conservations equations (momentum balance equation, energy balance equation and concentration balance equation) are then solved using a numerical approach known as explicit finite difference method (EFDM). Basically EFDM introduced for the unsteadiness in the momentum, temperature, and concentration fluid fields is based on the time dependent fluid velocity, temperature and concentration of the boundary surface. During the course of discussion, it is found that the various parameters related to the problem influence the calculated resultant expressions. The computed numerical solution results for the velocity, temperature, and concentration distribution with the effect of various important dimensionless parameters (Grashof number, Modified Grashof number, Prandtl number, Schmidt number, Soret number, Dufour number, chemical reaction parameter and inclination parameter) entering into the problems are critically analyzed and discussed graphically. It can be seen that two physical phenomena chemical reaction and thermal diffusion can greatly effect on the boundary layer fluid flows through an inclined plate.

Soret和Dufour效应对方腔内双扩散自然对流影响的格子Boltzmann模拟

采用格子Boltzmann方法,并考虑双扩散过程中的Soret和Dufour耦合效应,对内置高浓度发热圆的方腔内双扩散自然对流现象进行数值模拟,高温高浓度发热圆位于方腔中心,四周壁面均为低温低浓度。在不同的浮升力比Br(-5≤Br≤5)、Soret数Sr(-0.4≤Sr≤0.4)和Dufour数Df(-0.4≤Df≤0.4)条件下,分析了方腔内部自然对流双扩散特性。研究结果表明:在相同的Br条件下,随着Sr和Df数同时增大,方腔内传热能力和传质能力均有所减弱;在相同Sr和Df数条件下,随着Br的增大,传热能力和传质能力均先减弱后增强。

Casson流体作磁流体动力学流动时的Soret和Dufour效应

考虑Soret和Dufour效应,对Casson流体在可伸缩表面上,作磁流体动力学流动时的影响.首先导出相关的方程,然后用同伦法构造级数解.给出并讨论了速度、温度和浓度的场结果;在不同的物理参数下,得到并分析了表面摩擦因数、Nusselt数和Sherwood数的值;并验证了级数解的收敛性.

多孔介质中的粘性流体在径向伸展薄片间作磁流体动力学流动时的Dufour和Soret效应

在一个充满不可压缩、粘性、导电流体的多孔介质空间中,以两个无限伸展的薄片为边界,研究Dufour和Soret数对其间二维磁流体动力学稳定流动的影响,数学分析是在有粘性耗散、Joule热和一级化学反应下进行.通过适当的变换,将动量、能量和浓度定律所表示的偏微分控制方程组,变换为常微分方程组.利用同伦分析法(HAM)求解该方程组,保证了级数解的收敛性.分析了显现参数对无量纲速度、温度和浓度场的影响,同时对表面摩擦因数、Nusselt数和Sherwood数的影响进行了分析.

Numerical Modelling of Non-similar Mixed Convection Heat and Species Transfer along an Inclined Solar Energy Collector Surface with Cross Diffusion Effects

An analysis is performed to study thermo-diffusion and diffusion-thermo effects on mixed convection heat and mass transfer boundary layer flow along an inclined (solar collector) plate. The resulting governing equations are transformed and then solved numerically using the local nonsimilarity method and Runge-Kutta shooting quadrature. A parametric study illustrating the influence of thermal buoyancy parameter (&#950), Prandtl number (Pr), Schmidt number (Sc), Soret number (Sr), Dufour number (Du) and concentration-to- thermal-buoyancy ratio parameter, N, on the fluid velocity, temperature and concentration profiles as well as on local skin-friction, Nusselt and Sherwood numbers is conducted. For positive inclination angle of the plate (&#947 = 70 degrees), flow velocity (f') is strongly increased i.e. accelerated, with thermal buoyancy force parameter (&#950), in particular closer to the plate surface;further into the boundary layer, &#950 has a much reduced effect. Conversely temperature (&#952) and concentration (&#968) is decreased with increasing thermal buoyancy parameter, &#950. For negative plate inclination, the flow is accelerated whereas for positive inclination it is decelerated i.e. velocity is reduced. Conversely with negative plate inclination both the temperature and concentration in the boundary layer is reduced with the opposite apparent for positive inclination. Increasing Prandtl number strongly reduces temperature in the regime whereas an increase in Schmidt number boosts temperatures with temperature overshoots near the plate surface for Sc = 3 and 5 (i.e. for Sc > 1). Concentration is reduced continuously throughout the boundary layer, however, with increasing Schmidt number. A positive increase in concentration-to-thermal-buoyancy ratio parameter, N, significantly accelerates the flow in the domain, whereas negative N causes a deceleration. A velocity overshoot is also identified for N = 20, at intermediate distance from the plate surface. Negative N (thermal and concentration buoyancy forces oppose each other) induces a slight increase in both fluid temperature and concentration, with the reverse observed for positive N (thermal and concentration buoyancy forces assisting each other). Increasing Dufour number respectively causes a rise in temperature and a decrease in concentration, whereas an increase in Soret number cools the fluid i.e. reduces temperature and enhances concentration values. In the absence of Soret and Dufour effects, positive N causes a monotonic increase in local Nusselt number, NuxRex-1/2 with &#950 Cos &#947, for N = -1 the local Nusselt number remains constant for all values of parameter, &#950 Cos &#947. Local Sherwood number, ShxRex-1/2 is boosted considerably with higher Schmidt numbers and also with positive N values. The computations in the absence of Soret and Dufour effects correlate accurately with the earlier study by Chen et al. (1980).

多孔介质传热传质中耦合扩散效应的研究

本文采用加罚函数有限元方法数值模拟在温度梯度和浓度梯度同时存在时双浮升力自然对流及其伴随的传热传质,着重探讨了多孔介质中传热传质的交叉耦合扩散Soret效应和Dufour效应的基本影响规律,展示了流场、温度场和浓度场随热附加扩散准则数和扩散附加热准则数的变化状况。

固定床吸附过程传热传质耦合影响数值模拟

To explore the coupled effect of heat and mass transfer,the coupled model of heat and mass transfer for a fixed bed adsorption process was established according to the Soret effect and the Dufour effect theory.Numerical analysis methods were adopted to discuss the influences of heat transfer coefficients,mass transfer coefficients,and the coupled effect of heat and mass transfer on the fixed bed adsorption process respectively.Results have shown that heat transfer coefficients have little effect on mass transfer.To the degree of influence on the temperature field,the greatest is the heat transfer coefficient,followed by the axial thermal conductivity,the smallest is the external heat transfer coefficient.The mass transfer coefficients have some impact on the heat transfer and the mass transfer effect caused by the temperature gradient is more obvious than the heat transfer effect caused by the concentration gradient.