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Effects of nonlinear velocity slip and temperature jump onpseudo-plastic power-law fluid over moving permeable surface in presence of magnetic field 被引量:1
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作者 Xinhui SI Haozhe LI +1 位作者 Yanan SHEN Liancun ZHENG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第3期333-342,共10页
Flow and heat transfer of a pseudo-plastic power-law fluid over a stretching permeable surface with the magnetic effect is investigated. In the boundary conditions,the nonlinear temperature jump and the velocity slip ... Flow and heat transfer of a pseudo-plastic power-law fluid over a stretching permeable surface with the magnetic effect is investigated. In the boundary conditions,the nonlinear temperature jump and the velocity slip are considered. Semi-similarity equations are obtained and solved by bvp4c with MATLAB. The problem can be considered as an extension of the previous work done by Mahmoud(Mahmoud, M. A. A. Slip velocity effect on a non-Newtonian power-law fluid over a moving permeable surface with heat generation. Mathematical and Computer Modelling, 54, 1228–1237(2011)). Efforts are made to discuss the effects of the power-law number, slip velocity, and temperature jump on the dimensionless velocity and temperature distribution. 展开更多
关键词 power-law fluid varying thermal conductivity slip velocity temperature jump magnetohydrodynamic (MHD)
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Symmetries of boundary layer equations of power-law fluids of second grade 被引量:1
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作者 Mehmet Pakdemirli Yi■it Aksoy +1 位作者 Muhammet Yürüsoy Chaudry Masood Khalique 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2008年第6期661-670,共10页
A modified power-law fluid of second grade is considered. The model is a combination of power-law and second grade fluid in which the fluid may exhibit normal stresses, shear thinning or shear thickening behaviors. Th... A modified power-law fluid of second grade is considered. The model is a combination of power-law and second grade fluid in which the fluid may exhibit normal stresses, shear thinning or shear thickening behaviors. The equations of motion are derived for two dimensional incompressible flows, and from which the boundary layer equations are derived. Symmetries of the boundary layer equations are found by using Lie group theory, and then group classification with respect to power-law index is performed. By using one of the symmetries, namely the scaling symmetry, the partial differential system is transformed into an ordinary differential system, which is numerically integrated under the classical boundary layer conditions. Effects of power-law index and second grade coefficient on the boundary layers are shown and solutions are contrasted with the usual second grade fluid solutions. 展开更多
关键词 power-law fluid of second grade Boundarylayers Lie group theory
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The axisymmetric long-wave interfacial stability of core-annular flow of power-law fluid with surfactant 被引量:1
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作者 Xue-Wei Sun Jie Peng Ke-Qin Zhu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第1期24-33,共10页
The long wave stability of core-annular flow of power-law fluids with an axial pressure gradient is investigated at low Reynolds number. The interface between the two fluids is populated with an insoluble surfactant. ... The long wave stability of core-annular flow of power-law fluids with an axial pressure gradient is investigated at low Reynolds number. The interface between the two fluids is populated with an insoluble surfactant. The analytic solution for the growth rate of perturbation is obtained with long wave approximation. We are mainly concerned with the effects of shear-thinning/thickening property and interfacial surfactant on the flow stability. The results show that the influence of shear-thinning/thickening property accounts to the change of the capillary number. For a clean interface, the shear-thinning property enhances the capillary instability when the interface is close to the pipe wall. The converse is true when the interface is close to the pipe centerline. For shear-thickening fluids, the situation is reversed. When the interface is close to the pipe centerline, the capillary instability can be restrained due to the influence of surfactant. A parameter set can be found under which the flow is linearly stable. 展开更多
关键词 Core-annular flow. power-law fluid. Interfacial surfactant Long-wave stability
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On energy boundary layer equations in power law non-Newtonian fluids
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作者 郑连存 张欣欣 《Journal of Central South University》 SCIE EI CAS 2008年第S1期5-8,共4页
The hear transfer mechanism and the constitutive models for energy boundary layer in power law fluids were investigated.Two energy transfer constitutive equations models were proposed based on the assumption of simila... The hear transfer mechanism and the constitutive models for energy boundary layer in power law fluids were investigated.Two energy transfer constitutive equations models were proposed based on the assumption of similarity of velocity field momentum diffusion and temperature field heat transfer.The governing systems of partial different equations were transformed into ordinary differential equations respectively by using the similarity transformation group.One model was assumed that Prandtl number is a constant,and the other model was assumed that viscosity diffusion is analogous to thermal diffusion.The solutions were presented analytically and numerically by using the Runge-Kutta formulas and shooting technique and the associated transfer characteristics were discussed. 展开更多
关键词 power law fluidS heat TRANSFER SIMILARITY solution nonlinear BOUNDARY VALUE problem
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SOLUTION OF THE RAYLEIGH PROBLEM FOR A POWER-LAW NON-NEWTONIAN CONDUCTING FLUID VIA GROUP METHOD
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作者 Mina B.Abd-el-Malek Nagwa A.Badran Hossam S.Hassan 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第6期639-646,共8页
An investigation is made of the magnetic Rayleigh problem where a semi_infinite plate is given an impulsive motion and thereafter moves with constant velocity in a non_Newtonian power law fluid of infinite extent. The... An investigation is made of the magnetic Rayleigh problem where a semi_infinite plate is given an impulsive motion and thereafter moves with constant velocity in a non_Newtonian power law fluid of infinite extent. The solution of this highly non_linear problem is obtained by means of the transformation group theoretic approach. The one_parameter group transformation reduces the number of independent variables by one and the governing partial differential equation with the boundary conditions reduce to an ordinary differential equation with the appropriate boundary conditions. Effect of the some parameters on the velocity u(y,t) has been studied and the results are plotted. 展开更多
关键词 Rayleigh problem group method non_linearity conducting fluid non_Newtonian power law fluid
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Similarity solutions for non-Newtonian power-law fluid flow
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作者 D.M.WEI S.AL-ASHHAB 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第9期1155-1166,共12页
The problem of the boundary layer flow of power law non-Newtonian fluids with a novel boundary condition is studied. The existence and uniqueness of the solutions are examined, which are found to depend on the curvatu... The problem of the boundary layer flow of power law non-Newtonian fluids with a novel boundary condition is studied. The existence and uniqueness of the solutions are examined, which are found to depend on the curvature of the solutions for different values of the power law index n. It is established with the aid of the Picard-Lindelof theorem that the nonlinear boundary value problem has a unique solution in the global domain for all values of the power law index n but with certain conditions on the curva- ture of the solutions. This is done after a suitable transformation of the dependent and independent variables. For 0 〈 n ≤ 1, the solution has a positive curvature, while for n 〉 1, the solution has a negative or zero curvature on some part of the global domain. Some solutions are presented graphically to illustrate the results and the behaviors of the solutions. 展开更多
关键词 EXISTENCE UNIQUENESS power law fluid boundary layer flow non-linearboundary value problem
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Mixture flow of particles and power-law fluid in round peristaltic tube
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作者 Hailin YANG Jianzhong LIN Xiaoke KU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第6期805-822,共18页
The erythrocyte and blood flowing in the blood vessel can be treated as the two-phase flow of the mixture of particles and a power-law fluid in a peristaltic tube.In the present work, the peristaltic transport of a po... The erythrocyte and blood flowing in the blood vessel can be treated as the two-phase flow of the mixture of particles and a power-law fluid in a peristaltic tube.In the present work, the peristaltic transport of a power-law fluid and the suspension of particles in a tube is investigated by a perturbation method using the long wavelength approximation. The influence of different parameters on the velocity profile and streamlines is explored. Results show that there is a deflection of the flow field when the power-law index n = 0.5 or 1.5 compared with the Newtonian fluid where the trapping zone is symmetric to a certain cross section. The flux rate and reflux of the material are identified,and the conditions under which the reflux appears are determined. Moreover, a reflux phenomenon occurs near the wall. The trapping zone is related to not only the tube geometry and the flow flux but also the fluid properties. Both the length and width of the trapping zone increase with an increase in θ or φ. The trapping zone is more difficult to produce in the shear-thinning fluid than the shear-thickening fluid. 展开更多
关键词 peristaltic transport TWO-PHASE FLOW power-law fluid PERTURBATION method TRAPPING phenomenon
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MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing
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作者 陈学慧 郑连存 张欣欣 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第12期1555-1564,共10页
The problem of magnetohydrodynamic (MHD) flow on a moving surface with the power-law velocity and special injection/blowing is investigated. A scaling group transformation is used to reduce the governing equations t... The problem of magnetohydrodynamic (MHD) flow on a moving surface with the power-law velocity and special injection/blowing is investigated. A scaling group transformation is used to reduce the governing equations to a system of ordinary differen- tial equations. The skin friction coefficients of the MHD boundary layer flow are derived, and the approximate solutions of the flow characteristics are obtained with the homotopy analysis method (HAM). The approximate solutions are easily computed by use of a high order iterative procedure, and the effects of the power-law index, the magnetic parameter, and the special suction/blowing parameter on the dynamics are analyzed. The obtained results are compared with the numerical results published in the literature, verifying the reliability of the approximate solutions. 展开更多
关键词 magnetohydrodynamic (MHD) fluid power-law velocity power-law fluid injection/blowing approximate solution
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Effect of thermal conductivity on heat transfer for a power-law non-Newtonian fluid over a continuous stretched surface with various injection parameters
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作者 F.A.SALAMA 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第8期963-968,共6页
The two-dimensional non-Newtonian steady flow on a power-law stretched surface with suction or injection is studied. Thermal conductivity is assumed to vary as a linear function of temperature. The transformed governi... The two-dimensional non-Newtonian steady flow on a power-law stretched surface with suction or injection is studied. Thermal conductivity is assumed to vary as a linear function of temperature. The transformed governing equations in the present study are solved numerically using the Runge-Kutta method. Through a comparison, results for a special case of the problem show excellent agreement with those in a previous work. Two cases are considered, one corresponding to a cooled surface temperature and the other to a uniform surface temperature. Numerical results show that the thermal conductivity variation parameter, the injection parameter, and the power-law index have significant influences on the temperature profiles and the Nusselt number. 展开更多
关键词 non-Newtonian fluid thermal conductivity power-law fluid heat transfer
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THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA
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作者 SONG Fu-quan(宋付权) +1 位作者 LIU Ci-qun(刘慈群) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第8期875-880,共6页
The steady oil production and pressure distribution formulae of vertically fractured well for power-law non-Newtonian fluid were derived on the basis of the elliptic flow model in fractal reservoirs. The corresponding... The steady oil production and pressure distribution formulae of vertically fractured well for power-law non-Newtonian fluid were derived on the basis of the elliptic flow model in fractal reservoirs. The corresponding transient flow in fractal reservoirs was studied by numerical differentiation method: the influence of fractal index to transient pressure of vertically fractured well was analyzed. Finally the approximate analytical solution of transient flow was given by average mass conservation law. The study shows that using elliptic flow method to analyze the flow of vertically fractured well is a simple method. 展开更多
关键词 fractal media vertically fractured well transient flow power-law fluid
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Unsteady Hydro-Magnetic Heat and Mass Transfer Flow of a Non-Newtonian Power-Law Fluid past a Flat Plate in the Presence of Homogeneous Chemical Reaction
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作者 Itishree Swain Hadibandhu Pattanayak 《Applied Mathematics》 2015年第6期899-907,共9页
This paper investigates the flow, heat andmass transfer of a power law fluid from a vertical plate in presence of a magnetic field. The resulting non-linear partial differential equations governing the flow together w... This paper investigates the flow, heat andmass transfer of a power law fluid from a vertical plate in presence of a magnetic field. The resulting non-linear partial differential equations governing the flow together with the boundary conditions are reduced to non-dimensional form. The governing equations are discretized using implicit finite difference scheme and solved numerically. The velocity, temperature and concentration profile are presented graphically while the skin friction, local Nusselt number and the Sherwood number are presented in tabular form for different values of parameters of the problem. 展开更多
关键词 power law fluid Chemical Reaction Thermal Diffusion MAGNETIC Field
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Exact solution to peristaltic transport of power-law fluid in asymmetric channel with compliant walls
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作者 T.HAYAT M.JAVED 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第10期1231-1240,共10页
Effects of compliant wall properties on the peristaltic flow of a non-Newtonian fluid in an asymmetric channel are investigated.The rheological characteristics are characterized by the constitutive equations of a powe... Effects of compliant wall properties on the peristaltic flow of a non-Newtonian fluid in an asymmetric channel are investigated.The rheological characteristics are characterized by the constitutive equations of a power-law fluid.Long wavelength and low Reynolds number approximations are adopted in the presentation of mathematical developments.Exact solutions are established for the stream function and velocity.The streamlines pattern and trapping are given due attention.Salient features of the key parameters entering into the present flow are displayed and important conclusions are pointed out. 展开更多
关键词 peristaltic flow power-law fluid compliant walls
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Non-Newtonian Power-Law Fluid Flow and Heat Transfer over a Non-Linearly Stretching Surface
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作者 Kerehalli Vinayaka Prasad Seetharaman Rajeswari Santhi Pampanna Somanna Datti 《Applied Mathematics》 2012年第5期425-435,共11页
The problem of magneto-hydrodynamic flow and heat transfer of an electrically conducting non-Newtonian power-law fluid past a non-linearly stretching surface in the presence of a transverse magnetic field is considere... The problem of magneto-hydrodynamic flow and heat transfer of an electrically conducting non-Newtonian power-law fluid past a non-linearly stretching surface in the presence of a transverse magnetic field is considered. The stretching velocity, the temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The flow is induced due to an infinite elastic sheet which is stretched in its own plane. The governing equations are reduced to non-linear ordinary differential equations by means of similarity transformations. These equations are then solved numerically by an implicit finite-difference scheme known as Keller-Box method. The numerical solution is found to be dependent on several governing parameters, including the magnetic field parameter, power-law index, velocity exponent parameter, temperature exponent parameter, Modified Prandtl number and heat source/sink parameter. A systematic study is carried out to illustrate the effects of these parameters on the fluid velocity and the temperature distribution in the boundary layer. The results for the local skin-friction coefficient and the local Nusselt number are tabulated and discussed. The results obtained reveal many interesting behaviors that warrant further study on the equations related to non-Newtonian fluid phenomena. 展开更多
关键词 Boundary Layer FLOW Magneto-Hydrodynamic FLOW power-law fluid STRETCHING Sheet Modified Prandtl Number Heat Source/Sink Parameter
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Modulation Equations for Roll Waves on Vertically Falling Films of a Power-Law Fluid
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作者 Abdelaziz Boudlal Valery Liapidevskii 《World Journal of Mechanics》 2012年第1期1-8,共8页
Waves of finite amplitude on a thin layer of non-Newtonian fluid modelled as a power-law fluid are considered. In the long wave approximation, the system of equations taking into account the viscous and nonlinear effe... Waves of finite amplitude on a thin layer of non-Newtonian fluid modelled as a power-law fluid are considered. In the long wave approximation, the system of equations taking into account the viscous and nonlinear effects has the hyper- bolic type. For the two-parameter family of periodic waves in the film flow on a vertical wall the modulation equations for nonlinear wave trains are derived and investigated. The stability criterium for roll waves based on the hyperbolicity of the modulation equations is suggested. It is shown that the evolution of stable roll waves can be described by self-similar solutions of the modulation equations. 展开更多
关键词 power-law fluid THIN Film Flow VERTICAL WALL Modulation EQUATIONS Nonlinear Stability ROLL Wave
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Drag characteristics of power law fluids on an upstream moving surface 被引量:1
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作者 Liancun Zheng Xinxin Zhang Jicheng He 《Journal of University of Science and Technology Beijing》 CSCD 2005年第6期504-506,共3页
The specific problem to be considered here concerns the boundary layer problem of a non-Newtonian fluid on a flat plate in length, whose surface has a constant velocity opposite in the direction to that of the mainstr... The specific problem to be considered here concerns the boundary layer problem of a non-Newtonian fluid on a flat plate in length, whose surface has a constant velocity opposite in the direction to that of the mainstream with Uw 〉〉 U∞, or alternatively when the plate surface velocity is kept fixed but the stream speed is reduced to zero. A theoretical analysis for a boundary layer flow is made and the self-similar equation is determined. Solutions are presented numerically for special power index and the associated transfer behavior is discussed. 展开更多
关键词 boundary layer theory power law fluid similarity solutions
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Characteristics of Convection Heat Transfer in Power⁃Law Fluid Saturated Porous Media Channel 被引量:1
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作者 Xingwang Tian Kun Zhang +2 位作者 Feng Liu Ping Wang Shiming Xu 《Journal of Harbin Institute of Technology(New Series)》 CAS 2022年第2期52-61,共10页
Considering Brinkman⁃Forchheimer extended Darcy flow and local thermal non⁃equilibrium effect,a general model of forced convection with viscous dissipation in power⁃law fluid saturated porous media channel was establi... Considering Brinkman⁃Forchheimer extended Darcy flow and local thermal non⁃equilibrium effect,a general model of forced convection with viscous dissipation in power⁃law fluid saturated porous media channel was established.The dimensionless temperature profiles and Nusselt number were numerically solved using the classical fourth⁃order Runge Kutta method under a constant heat flux boundary condition.The conclusion showed that the fluid⁃solid temperature distributions were significantly affected by dimensionless Bi,k,Da,Br,and F,and the effects of power⁃law indexes on convection heat transfer characteristics were also non⁃negligible. 展开更多
关键词 viscous dissipation powerlaw fluid porous medium thermal non⁃equilibrium numerical simulation
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非牛顿流固耦合问题的半隐式分区ALE有限元-间断有限元耦合算法研究
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作者 高普阳 胡小林 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2024年第4期450-458,共9页
针对非牛顿流固耦合问题,提出了任意拉格朗日-欧拉(arbitrary Lagrangian-Eulerian,ALE)框架下的半隐式分区有限元-间断有限元耦合算法。其数学模型主要包括非牛顿流体和固体结构的控制方程,以及流体-固体交界面上的边界条件。固体结构... 针对非牛顿流固耦合问题,提出了任意拉格朗日-欧拉(arbitrary Lagrangian-Eulerian,ALE)框架下的半隐式分区有限元-间断有限元耦合算法。其数学模型主要包括非牛顿流体和固体结构的控制方程,以及流体-固体交界面上的边界条件。固体结构由弹性材料组成,非牛顿流体由幂律型本构模型描述。用分裂格式对非牛顿流体控制方程进行解耦,得到若干子方程;通过有限元、间断有限元方法求解对应恰当类型的子方程。用中心差分及标准有限元方法分别对固体结构弹性动力学方程进行时间和空间离散;用修正的Laplace移动网格方法处理固体结构的形变及流体区域网格的变化过程。最后用数值算法研究了带有圆弧顶端梯形结构体的非牛顿流固耦合问题,并详细分析了结构体高度、入口速度及流体特性等因素对流固耦合问题的影响及机理。 展开更多
关键词 流固耦合 非牛顿流体 幂律模型 半隐式 有限元
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OBTAINING THE CRITICAL DRAW RATIO OF DRAW RESONANCE IN MELT SPINNING FOR POWER LAW POLYMER FLUIDS
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作者 Jinan Cao 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2007年第5期501-507,共7页
A direct difference method has been developed for Non-Newtonian power law fluids to solve the simultaneous non-linear partial differential equations of melt spinning, and to determine the critical draw ratio for draw ... A direct difference method has been developed for Non-Newtonian power law fluids to solve the simultaneous non-linear partial differential equations of melt spinning, and to determine the critical draw ratio for draw resonance. The results show that for shear thin fluids, the logarithm of the critical draw ratio has a well defined linear relationship with the power index for isothermal and uniform tension melt spinning. When the power index approaches zero, the critical draw ratio points at unity, indicating no melt spinning can be processed stably for such fluids. For shear thick fluids, the critical draw ratio increases in a more rapid way with increasing the power index. 展开更多
关键词 Draw resonance Melt spinning power law fluid Numerical simulation.
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Calculation Method of Power Law Fluid Equivalent Permeability Considering Capillary Shape
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作者 杨二龙 李欢 +1 位作者 高慧娟 谷婷婷 《Chinese Quarterly Journal of Mathematics》 2015年第3期420-428,共9页
While studying the flow of oil and gas in the reservoir, it is not realistic that capillary with circular section is only used to express the pores. It is more representative to simulate porous media pore with kinds o... While studying the flow of oil and gas in the reservoir, it is not realistic that capillary with circular section is only used to express the pores. It is more representative to simulate porous media pore with kinds of capillary with triangle or rectangle section etc. In the condition of the same diameter, when polymer for oil displacement flows in the porous medium, there only exists shear flow which can be expressed with power law model. Based on fluid flow-pressure drop equation in single capillary, this paper gives a calculation method of equivalent permeability of power law fluid of single capillary and capillary bundles with different sections. 展开更多
关键词 POROUS media power law fluid section area EQUIVALENT PERMEABILITY CAPILLARY BUNDLES
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Approximate analytical solutions and approximate value of skin friction coeffcient for boundary layer of power law fluids
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作者 苏晓红 郑连存 蒋锋 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第9期1215-1220,共6页
This paper presents a theoretical analysis for laminar boundary layer flow in a power law non-Newtonian fluids. The Adomian analytical decomposition technique is presented and an approximate analytical solution is obt... This paper presents a theoretical analysis for laminar boundary layer flow in a power law non-Newtonian fluids. The Adomian analytical decomposition technique is presented and an approximate analytical solution is obtained. The approximate analytical solution can be expressed in terms of a rapid convergent power series with easily computable terms. Reliability and efficiency of the approximate solution are verified by comparing with numerical solutions in the literature. Moreover, the approximate solution can be successfully applied to provide values for the skin friction coefficient of the laminar boundary layer flow in power law non-Newtonian fluids. 展开更多
关键词 power law fluid nonlinear boundary value problem Adomian decomposi-tion
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