Slip effects on the MHD flow of a generalized Oldroyd-B fluid in a porous medium

机译：滑移对多孔介质中广义Oldroyd-B流体MHD流动的影响

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This paper deals with the analytical solutions to a magnetohydrodynamic (MHD) flow of generalized Oldroyd-B fluid in a porous medium between two side walls perpendicular to the plate. Considering the 1st-order and the 2nd-order accurate slip boundary conditions, the flow inducing by a hyperbolic sine pressure gradient and a time-dependent accelerating plate. The fractional calculus approach is used to establish the constitutive relationship model of non-Newtonian fluid. Exact analytic solutions to the velocity and stress fields, are constructed by means of finite Fourier sine transform and Laplace transform. Finally, the influence of various parameters on velocity and shear stress has been shown and discussed through several 3D surfaces and 2D contour lines.

机译：本文研究了在垂直于板的两个侧壁之间的多孔介质中广义Oldroyd-B流体的磁流体动力学（MHD）流动的解析解。考虑一阶和二阶精确滑移边界条件，由双曲正弦压力梯度和时变加速板引起的流动。采用分数演算方法建立了非牛顿流体的本构关系模型。借助于有限傅里叶正弦变换和拉普拉斯变换构造了对速度场和应力场的精确解析解。最后，通过几个3D表面和2D等高线显示并讨论了各种参数对速度和切应力的影响。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-8|共8页
会议地点 Nanjing(CN)
作者
Kangning Wang; Liancun Zheng; Zhenlin Guo; Xinxin Zhang;
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作者单位

School of Mechanical Engineering, University of Science and Technology Beijing, Beijing,100083 China;

Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing,100083 China;

Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing,100083 China;

School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, 100083 China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Fractional derivative; 2nd-order slip boundary condition; MHD; porous medium.;

机译：分数阶导数；二阶滑移边界条件； MHD；多孔介质;

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1. CHEMICAL REACTION AND RADIATION EFFECTS ON MHD PULSATILE FLOW OF AN OLDROYD-B FLUID IN A POROUS MEDIUM WITH SLIP AND CONVECTIVE BOUNDARY CONDITIONS [J] . Malathy T., Srinivas S., Reddy A. Subramanyam Journal of porous media . 2017,第4期

机译：具有滑动和对流边界条件的多孔介质中oldroyd-B流体MHD脉冲流动的化学反应和辐射影响
2. Slip effects on MHD flow of a generalized Oldroyd-B fluid with fractional derivative [J] . Zheng L., Liu Y., Zhang X. Nonlinear analysis. Real world applications . 2012,第2期

机译：带分数导数的广义Oldroyd-B流体的MHD流动的滑移效应
3. Effects of Chemical Reaction on MHD Free Convective Flow of Viscous Fluid Through a Porous Medium Bounded by an Oscillating Porous Plate in Slip Flow Regime [J] . Vinay Kumar Jadon, S. S. Yadav Journal of Engineering & Applied Sciences . 2011,第6期

机译：化学反应对粘滞流体通过滑流状态下的振荡多孔板所包围的多孔介质的MHD自由对流的影响
4. Slip effects on the MHD flow of a generalized Oldroyd-B fluid in a porous medium [C] . Kangning Wang, Liancun Zheng, Zhenlin Guo, Symposium on fractional differentiation and its applications . 2012

机译：对多孔介质中的广义oldroyd-B流体MHD流的滑移效应
5. Non-Darcy convective boundary layer flows through porous media with MHD and radiative effects [D] . Beg, Osman A. 1995

机译：非达西对流边界层流经具有MHD和辐射效应的多孔介质
6. Unsteady MHD Mixed Convection Slip Flow of Casson Fluid over Nonlinearly Stretching Sheet Embedded in a Porous Medium with Chemical Reaction Thermal Radiation Heat Generation/Absorption and Convective Boundary Conditions [O] . Imran Ullah, Krishnendu Bhattacharyya, Sharidan Shafie, -1

机译：卡森流体在具有化学反应热辐射生热/吸收和对流边界条件的多孔介质中的非线性拉伸板上非定常MHD混合对流滑移
7. Heat and Mass Transfer Effect on MHD Flow of a Viscoelastic Fluid through a Porous Medium Bounded by an Oscillating Porous Plate in Slip Flow Regime [O] . S. N. Sahoo 2013

机译：通过滑动流动状态下振动多孔板界面的多孔介质对粘弹性流体MHD流动的热量和传质效应

Slip effects on the MHD flow of a generalized Oldroyd-B fluid in a porous medium

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