期刊文献+
共找到84篇文章
< 1 2 5 >
每页显示 20 50 100
Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocity-effects of catheter
1
作者 J.V.R.REDDY D.SRIKANTH S.K.MURTHY 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第8期947-958,共12页
This paper explores the mathematical model for couple stress fluid flow through an annular region. The above model is used for studying the blood flow be-tween the clogged (stenotic) artery and the catheter. The asy... This paper explores the mathematical model for couple stress fluid flow through an annular region. The above model is used for studying the blood flow be-tween the clogged (stenotic) artery and the catheter. The asymmetric nature of the stenosis is considered. The closed form expressions for the physiological parameters such as impedance and shear stress at the wall are obtained. The effects of various geomet-ric parameters and the parameters arising out of the fluid considered are discussed by considering the slip velocity and tapering angle. The study of the above model is very significant as it has direct applications in the treatment of cardiovascular diseases. 展开更多
关键词 blood flow couple stress fluid stenosed artery tapered artery CATHETER
下载PDF
Approximate Solution of Oil Film Load-carrying Capacity of Turbulent Journal Bearing with Couple Stress Flow 被引量:10
2
作者 ZHANG Yongfang WU Peng +3 位作者 GUO Bo L Yanjun LIU Fuxi YU Yingtian 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第1期106-114,共9页
The instability of the rotor dynamic system supported by oil journal bearing is encountered frequently, such as the half speed whirl of the rotor, which is caused by oil film lubricant with nonlinearity. Currently, mo... The instability of the rotor dynamic system supported by oil journal bearing is encountered frequently, such as the half speed whirl of the rotor, which is caused by oil film lubricant with nonlinearity. Currently, more attention is paid to the physical characteristics of oil film due to an oil-lubricated journal bearing being the important supporting component of the bearing-rotor systems and its nonlinear nature. In order to analyze the lubrication characteristics of journal bearings efficiently and save computational c[~brts, an approximate solution of nonlinear oil film forces of a finite length turbulent journal bearing with couple stress flow is proposed based on Sommerfeld and Ocvirk numbers. Reynolds equation in lubrication of a finite length turbulent .journal bearing is solved based on multi-parametric principle. Load-carrying capacity of nonlinear oil film is obtained, and the results obtained by different methods are compared. The validation of the proposed method is verified, meanwhile, the relationships of load-carrying capacity versus eccentricity ratio and width-to-diameter ratio under turbulent and couple stress working conditions are analyzed. The numerical results show that both couple stress flow and eccentricity ratio have obvious influence on oil film pressure distribution, and the proposed method approximates the load-carrying capacity of turbulent journal bearings efficiently with various width-to-diameter ratios. This research proposes an approximate solution of oil film load-carrying capacity of turbulent journal bearings with different width-to-diameter ratios, whicb are suitable for high eccentricity ratios and heavy loads. 展开更多
关键词 finite length turbulent journal bearing couple stress fluid multi-parametric principle
下载PDF
Size dependent free vibration analysis of functionally graded piezoelectric micro/nano shell based on modified couple stress theory with considering thickness stretching effect 被引量:5
3
作者 Maryam Lori Dehsaraji Mohammad Arefi Abbas Loghman 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第1期119-134,共16页
Higher-order shear and normal deformation theory is used in this paper to account thickness stretching effect for free vibration analysis of the cylindrical micro/nano shell subjected to an applied voltage and uniform... Higher-order shear and normal deformation theory is used in this paper to account thickness stretching effect for free vibration analysis of the cylindrical micro/nano shell subjected to an applied voltage and uniform temperature rising.Size dependency is included in governing equations based on the modified couple stress theory.Hamilton’s principle is used to derive governing equations of the cylindrical micro/nano shell.Solution procedure is developed using Navier technique for simply-supported boundary conditions.The numerical results are presented to investigate the effect of significant parameters such as some dimensionless geometric parameters,material properties,applied voltages and temperature rising on the free vibration responses. 展开更多
关键词 Thickness stretching effect Shear and normal deformation theory Vibration analysis Length scale parameter Modified couple stress theory
下载PDF
Stagnation-point flow of couple stress fluid with melting heat transfer 被引量:3
4
作者 T.HAYAT M.MUSTAFA +1 位作者 Z.IQBAL A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第2期167-176,共10页
Melting heat transfer in the boundary layer flow of a couple stress fluid over a stretching surface is investigated. The developed differential equations are solved for homotopic solutions. It is observed that the vel... Melting heat transfer in the boundary layer flow of a couple stress fluid over a stretching surface is investigated. The developed differential equations are solved for homotopic solutions. It is observed that the velocity and the boundary layer thickness are decreasing functions of the couple stress fluid parameter. However, the temperature and surface heat transfer increase when the values of the couple stress fluid parameter increase. The velocity and temperature fields increase with an increase in the melting process of the stretching sheet. 展开更多
关键词 couple stress fluid melting heat transfer stagnation-point flow series solution
下载PDF
Linear and nonlinear torsional free vibration of functionally graded micro/nano-tubes based on modified couple stress theory 被引量:2
5
作者 A.R.SETOODEH M.REZAEI M.R.ZENDEHDEL SHAHRI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第6期725-740,共16页
The linear and nonlinear torsional free vibration analyses of functionMly graded micro/nuno-tubes (FGMTs) are analytically investigated based on the couple stress theory. The employed non-classical continuum theory ... The linear and nonlinear torsional free vibration analyses of functionMly graded micro/nuno-tubes (FGMTs) are analytically investigated based on the couple stress theory. The employed non-classical continuum theory contains one material length scale parameter, which can capture the small scale effect. The FGMT model accounts for the through-radius power-law variation of a two-constituent material. Hamilton's principle is used to develop the non-classical nonlinear governing equation. To study the effect of the boundary conditions, two types of end conditions, i.e., fixed-fixed and fixed-free, are considered. The derived boundary value governing equation is of the fourthorder, and is solved by the homotopy analysis method (HAM). This method is based on the Taylor series with an embedded parameter and is capable of providing very good approximations by means of only a few terms, if the initial guess and the auxiliary linear operator are properly selected. The analytical expressions are developed for the linear and nonlinear natural frequencies, which can be conveniently used to investigate the effects of the dimensionless length scale parameter, the material gradient index, and the vibration amplitude on the natural frequencies of FGMTs. 展开更多
关键词 torsional vibration nonlinear vibration micro/nano-tube functionallygraded material (FGM) couple stress theory size effect
下载PDF
Performance of dynamically loaded journal bearings lubricated with couple stress fluids considering the elasticity of the liner 被引量:2
6
作者 Yan-yanMA 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2008年第7期916-921,共6页
To take into account the couple stress effects, a modified Reynolds equation is derived for dynamically loaded journal beatings with the consideration of the elasticity of the liner. The numerical results show that th... To take into account the couple stress effects, a modified Reynolds equation is derived for dynamically loaded journal beatings with the consideration of the elasticity of the liner. The numerical results show that the influence of couple stresses on the bearing characteristics is significant. Compared with Newtonian lubricants, lubricants with couple stresses increase the fluid film pressure, as a result enhance the load-carrying capacity and reduce the friction coefficient. However, since the elasticity of the liner weakens the couple stress effect, elastic liners yield a reduction in the load-carrying capacity and an increase in the friction coefficient. The elastic deformation of the bearing liner should be considered in an accurate performance evaluation of the journal bearing. 展开更多
关键词 Journal bearings couple stress ELASTICITY LUBRICATION
下载PDF
Symplectic solution for three dimensional couple stress problem and its variational principle 被引量:2
7
作者 JianhuiLuo GuangdongLiu WanxieZhong 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2005年第1期70-75,共6页
A new state vector is presented for symplectic solution to three dimensional couple stress problem. Without relying on the analogy relationship, the dual PDEs of couple stress problem are derived by a new state vector... A new state vector is presented for symplectic solution to three dimensional couple stress problem. Without relying on the analogy relationship, the dual PDEs of couple stress problem are derived by a new state vector. The duality solution methodology in a new form is thus extended to three dimensional couple stress. A new symplectic orthonormality relationship is proved. The symplectic solution to couple stress theory based a new state vector is more accordant with the custom of classical elasticity and is more convenient to process boundary conditions. A Hamilton mixed energy variational principle is derived by the integral method. 展开更多
关键词 couple stress Duality solution system Symplectic geometry Eigen-solution expansion
下载PDF
Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity 被引量:2
8
作者 Bin Ji Wanji Chen Jie Zhao 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第3期381-387,共7页
Owing to the absence of proper analytical solution of cantilever beams for couple stress/strain gradient elasto-plastic theory, experimental studies of the cantilever beam in the micro-scale are not suitable for the d... Owing to the absence of proper analytical solution of cantilever beams for couple stress/strain gradient elasto-plastic theory, experimental studies of the cantilever beam in the micro-scale are not suitable for the determination of material length-scale. Based on the couple stress elasto-plasticity, an analytical solution of thin cantilever beams is firstly presented, and the solution can be regarded as an extension of the elastic and rigid-plastic solutions of pure bending beam. A comparison with numerical results shows that the current analytical solution is reliable for the case of σ0 〈〈 H 〈〈 E, where σ0 is the initial yield strength, H is the hardening modulus and E is the elastic modulus. Fortunately, the above mentioned condition can be satisfied for many metal materials, and thus the solution can be used to determine the material length-scale of micro-structures in conjunction with the experiment of cantilever beams in the micro-scale. 展开更多
关键词 Material length-scale couple stress elasto-plasticity Analytical solution Cantilever beam
下载PDF
RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CON-TINUUM THEORIES (Ⅱ)—MICROMORPHIC CONTINUUM THEORY AND COUPLE STRESS THEORY 被引量:2
9
作者 戴天民 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第10期1126-1133,共8页
The purpose is to reestablish the balance laws of momentum, angular momentum and energy and to derive the corresponding local and nonlocal balance equations for micromorphic continuum mechanics and couple stress theor... The purpose is to reestablish the balance laws of momentum, angular momentum and energy and to derive the corresponding local and nonlocal balance equations for micromorphic continuum mechanics and couple stress theory. The desired results for micromorphic continuum mechanics and couple stress theory are naturally obtained via direct transitions and reductions from the coupled conservation law of energy for micropolar continuum theory, respectively. The basic balance laws and equations for micromorphic continuum mechanics and couple stress theory are constituted by combining these results derived here and the traditional conservation laws and equations of mass and microinertia and the entropy inequality. The incomplete degrees of the former related continuum theories are clarified. Finally, some special cases are conveniently derived. 展开更多
关键词 micromorphic continuum couple stress theory coupleD basic balance law balance equation
下载PDF
Size-dependent thermoelastic initially stressed micro-beam due to a varying temperature in the light of the modified couple stress theory 被引量:2
10
作者 A.E.ABOUELREGAL 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2020年第12期1805-1820,共16页
The bending of the Euler-Bernoulli micro-beam has been extensively modeled based on the modified couple stress(MCS)theory.Although many models have been incorporated into the literature,there is still room for introdu... The bending of the Euler-Bernoulli micro-beam has been extensively modeled based on the modified couple stress(MCS)theory.Although many models have been incorporated into the literature,there is still room for introducing an improved model in this context.In this work,we investigate the thermoelastic vibration of a micro-beam exposed to a varying temperature due to the application of the initial stress employing the MCS theory and generalized thermoelasticity.The MCS theory is used to investigate the material length scale effects.Using the Laplace transform,the temperature,deflection,displacement,flexure moment,and stress field variables of the micro-beam are derived.The effects of the temperature pulse and couple stress on the field distributions of the micro-beam are obtained numerically and graphically introduced.The numerical results indicate that the temperature pulse and couple stress have a significant effect on all field variables. 展开更多
关键词 THERMOELECTRICITY MICRO-BEAM initial stress temperature pulse modified couple stress(MCS)theory
下载PDF
A Size-Dependent Functionally Graded Higher Order Plate Analysis Based on Modified Couple Stress Theory and Moving Kriging Meshfree Method 被引量:3
11
作者 T.D.Tran Chien H.Thai H.Nguyen-Xuan 《Computers, Materials & Continua》 SCIE EI 2018年第12期447-483,共37页
A size-dependent computational approach for bending,free vibration and buckling analyses of isotropic and sandwich functionally graded(FG)microplates is in this study presented.We consider both shear deformation and s... A size-dependent computational approach for bending,free vibration and buckling analyses of isotropic and sandwich functionally graded(FG)microplates is in this study presented.We consider both shear deformation and small scale effects through the generalized higher order shear deformation theory and modified couple stress theory(MCST).The present model only retains a single material length scale parameter for capturing properly size effects.A rule of mixture is used to model material properties varying through the thickness of plates.The principle of virtual work is used to derive the discrete system equations which are approximated by moving Kriging interpolation(MKI)meshfree method.Numerical examples consider the inclusions of geometrical parameters,volume fraction,boundary conditions and material length scale parameter.Reliability and effectiveness of the present method are confirmed through numerical results. 展开更多
关键词 Modified couple stress theory isotropic and sandwich FGM plates moving Kriging meshfree method
下载PDF
Peristaltic flow of couple stress fluid through uniform porous medium 被引量:2
12
作者 A.ALSAEDI N.ALI +1 位作者 D.TRIPATHI T.HAYAT 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第4期469-480,共12页
Investigation concerning peristaltic motion of couple stress fluid is made. An incompressible couple stress fluid occupies the porous medium. Mathematical anal- ysis is presented through large wavelength and low Reyno... Investigation concerning peristaltic motion of couple stress fluid is made. An incompressible couple stress fluid occupies the porous medium. Mathematical anal- ysis is presented through large wavelength and low Reynolds number. Exact analytical expressions of axial velocity, volume flow rate, pressure gradient, and stream function are calculated as a function of couple stress parameter. The essential feature of the analysis is a full description of influence of couple stress parameter and permeability parameter on the pressure, frictional force, mechanical efficiency, and trapping. 展开更多
关键词 PERISTALSIS couple stress fluid porous medium mechanical efficiency trapping
下载PDF
Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method 被引量:2
13
作者 M.MOHAMMADIMEHR M.A.MOHAMMADIMEHR P.DASHTI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第4期529-554,共26页
The size-dependent effect on the biaxial and shear nonlinear buckling analysis of an isotropic and orthotropic micro-plate based on the surface stress, the modified couple stress theory (MCST), and the nonlocal elas... The size-dependent effect on the biaxial and shear nonlinear buckling analysis of an isotropic and orthotropic micro-plate based on the surface stress, the modified couple stress theory (MCST), and the nonlocal elasticity theories using the differential quadrature method (DQM) is presented. Main advantages of the MCST over the classical theory (CT) are the inclusion of the asymmetric couple stress tensor and the consideration of only one material length scale parameter. Based on the nonlinear von Karman assumption, the governing equations of equilibrium for the micro-classical plate consid- ering midplane displacements are derived based on the minimum principle of potential energy. Using the DQM, the biaxial and shear critical buckling loads of the micro-plate for various boundary conditions are obtained. Accuracy of the obtained results is validated by comparing the solutions with those reported in the literature. A parametric study is conducted to show the effects of the aspect ratio, the side-to-thickness ratio, Eringen's nonlocal parameter, the material length scale parameter, Young's modulus of the surface layer, the surface residual stress, the polymer matrix coefficients, and various boundary conditions on the dimensionless uniaxial, biaxial, and shear critical buckling loads. The results indicate that the critical buckling loads are strongly sensitive to Eringen's nonlocal parameter, the material length scale parameter, and the surface residual stress effects, while the effect of Young's modulus of the surface layer on the critical buckling load is negligible. Also, considering the size dependent effect causes the increase in the stiffness of the orthotropic micro-plate. The results show that the critical biaxial buckling load increases with an increase in G12/E2 and vice versa for E1/E2. It is shown that the nonlinear biaxial buckling ratio decreases as the aspect ratio increases and vice versa for the buckling amplitude. Because of the most lightweight micro-composite materials with high strength/weight and stiffness/weight ratios, it is anticipated that the results of the present work are useful in experimental characterization of the mechanical properties of micro-composite plates in the aircraft industry and other engineering applications. 展开更多
关键词 biaxial and shear nonlinear buckling analysis nonlocal isotropic and orthotropic micro-plate modified couple stress theory (MCST) surface stress effect differential quadrature method (DQM)
下载PDF
Transient analysis of diffusive chemical reactive species for couple stress fluid flow over vertical cylinder 被引量:2
14
作者 H.P.RANI G.J.REDDY C.N.KIM 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第8期985-1000,共16页
The unsteady natural convective couple stress fluid flow over a semi-infinite vertical cylinder is analyzed for the homogeneous first-order chemical reaction effect. The couple stress fluid flow model introduces the l... The unsteady natural convective couple stress fluid flow over a semi-infinite vertical cylinder is analyzed for the homogeneous first-order chemical reaction effect. The couple stress fluid flow model introduces the length dependent effect based on the material constant and dynamic viscosity. Also, it introduces the biharmonic operator in the Navier-Stokes equations, which is absent in the case of Newtonian fluids. The solution to the time-dependent non-linear and coupled governing equations is carried out with an unconditionally stable Crank-Nicolson type of numerical schemes. Numerical results for the transient flow variables, the average wall shear stress, the Nusselt number, and the Sherwood number are shown graphically for both generative and destructive reactions. The time to reach the temporal maximum increases as the reaction constant K increases. The average values of the wall shear stress and the heat transfer rate decrease as K increases, while increase with the increase in the Sherwood number. 展开更多
关键词 couple stress fluid chemical reaction natural convection vertical cylinder finite difference method
下载PDF
Elastoplastic analysis of solid structures using penalty-based couple stress finite element method within framework of Cosserat continuum 被引量:1
15
作者 WANG Dong-yong CHEN Xi +2 位作者 JIANG Sheng-bin QI Ji-lin PENG Li-yun 《Journal of Central South University》 SCIE EI CAS CSCD 2022年第4期1320-1331,共12页
To obviate the complexities of the straight forward couple stress finite element method,the penalty-based couple stress finite element method(named PcouFEM)within the framework of the Cosserat continuum is utilized to... To obviate the complexities of the straight forward couple stress finite element method,the penalty-based couple stress finite element method(named PcouFEM)within the framework of the Cosserat continuum is utilized to obtain the approximate solution by relaxing the C1 continuity.To examine the performance of the PcouFEM,three well known numerical examples are investigated.For the analysis on stress concentration around the circular hole of the plane strain specimen,it was found that as long as the penalty factor G_(c) is not less than 5 times the shear modulus of the classical continuum G(i.e.,G_(c)≥5G),the stress concentration factors calculated by the PcouFEM with the reduced integration scheme agree well with the analytical solutions.For the strain localization analysis in the uniaxial compression test,it was observed that by applying the PcouFEM,the pathologically mesh-dependent problem associated with the conventional FEM can be alleviated or even removed,and based on numerical simulations,it is recommended to define 5G≤G_(c)≤10G from the perspective of numerical accuracy.For the soil slope subjected to an eccentric load through the rigid strip footing,it was found that the mesh-dependent problem of the shear band simulation can be largely alleviated by applying the PcouFEM. 展开更多
关键词 couple stress theory Cosserat theory penalty factor stress concentration strain localization
下载PDF
Sensitivity analysis of pull-in voltage for RF MEMS switch based on modified couple stress theory 被引量:1
16
作者 Junhua ZHU Renhuai LIU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第12期1555-1568,共14页
An approximate analytical model for calculating the pull-in voltage of a stepped cantilever-type radio frequency (RF) micro electro-mechanical system (MEMS) switch is developed based on the Euler-Bernoulli beam an... An approximate analytical model for calculating the pull-in voltage of a stepped cantilever-type radio frequency (RF) micro electro-mechanical system (MEMS) switch is developed based on the Euler-Bernoulli beam and a modified couple stress theory, and is validated by comparison with the finite element results. The sensitivity functions of the pull-in voltage to the designed parameters are derived based on the proposed model. The sensitivity investigation shows that the pull-in voltage sensitivities increase/decrease nonlinearly with the increases in the designed parameters. For the stepped cantilever beam, there exists a nonzero optimal dimensionless length ratio, where the pull-in voltage is insensitive. The optimal value of the dimensionless length ratio only depends on the dimensionless width ratio, and can be obtained by solving a nonlinear equation. The determination of the designed parameters is discussed, and some recommendations are made for the RF MEMS switch optimization. 展开更多
关键词 stepped cantilever beam pull-in voltage modified couple stress theory radio frequency (RF) micro electro-mechanical system (MEMS) switch analytical solution sensitivity analysis
下载PDF
Nonlinearity analysis of piezoelectric micromachined ultrasonic transducers based on couple stress theory 被引量:4
17
作者 Xin Kang Fu-Jun Yang Xiao-Yuan He 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第1期104-111,共8页
This paper studies the static deformation behavior of a piezoelectric micromachined ultrasonic transducer (PMUT) actuated by a strong external electric field. The transducer membrane consists of a piezoelectric laye... This paper studies the static deformation behavior of a piezoelectric micromachined ultrasonic transducer (PMUT) actuated by a strong external electric field. The transducer membrane consists of a piezoelectric layer, a passive layer and two electrode layers. The nonlinearities of the piezoelectric layer caused by electrostriction under a strong electric field are analyzed. Because the thickness of the transducer membrane is on the microscale, the size dependence of the deformation behavior is evaluated using the couple stress theory. The results show that the optimal ratio of the top electrode diameter and the membrane diameter is around 0.674. It is also found that this optimal value does not depend on any other parameters if the thicknesses of the two electrodes are negligible compared with those of the piezo- electric and passive layers. In addition, the nonlinearities of the piezoelectric layer will become stronger along with the increase of the electric field, which means that softening of the membrane stiffness occurs when a strong external electric field is applied. Meanwhile, the optimal thickness ratio for the passive layer and the piezoelectric layer is not equal to 1.0 which is usually adopted by previous researchers. Because there exists size dependence of membrane deforma-tion, the optimal value of this thickness ratio needs to be greater than 1.0 on the microscale. 展开更多
关键词 Piezoelectric micromachined ultrasonic trans- ducer (PMUT) couple stress theory Static deformation - Nonlinearity analysis
下载PDF
The principle of coupled stress release model and its application 被引量:1
18
作者 刘杰 石耀林 庄建仓 《Acta Seismologica Sinica(English Edition)》 CSCD 1998年第3期9-17,共9页
oupled stress release model is proposed in the paper considering the interaction between different parts based on stress release model by VereJones, and is used to historical earthquake data from North China. The resu... oupled stress release model is proposed in the paper considering the interaction between different parts based on stress release model by VereJones, and is used to historical earthquake data from North China. The results by this model are compared with the results by original stress release model using AIC criterion. The results show that coupled stress release model is better than original model. 展开更多
关键词 coupled stress release model AIC criterion historical earthquake data in North China
下载PDF
Natural convection flow of a couple stress fluid between two vertical parallel plates with Hall and ion-slip effects 被引量:1
19
作者 D.Srinivasacharya K.Kaladhar 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第1期41-50,共10页
The Hall and ion-slip effects on fully developed electrically conducting couple stress fluid flow between vertical parallel plates in the presence of a temperature dependent heat source are investigated. The governing... The Hall and ion-slip effects on fully developed electrically conducting couple stress fluid flow between vertical parallel plates in the presence of a temperature dependent heat source are investigated. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations. The resulting equations are then solved using the homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, ion-slip parameter and couple stress fluid parameter on velocity and temperature are discussed and shown graphically 展开更多
关键词 Free convection couple stress fluid Magneto- hydrodynamics Hall and ion-slip effects - HAM
下载PDF
Exact solutions for different vorticity functions of couple stress fluids
20
作者 Saeed ISLAM Chao-ying ZHOU Xiao-juan RAN 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2008年第5期672-680,共9页
In this paper, inverse solutions are obtained for the class of 2D steady incompressible couple stress fluid flows. This class consists of flows for which the vorticity distribution is given by ▽2ψ=ψ+f(x,y). The so... In this paper, inverse solutions are obtained for the class of 2D steady incompressible couple stress fluid flows. This class consists of flows for which the vorticity distribution is given by ▽2ψ=ψ+f(x,y). The solutions are obtained by applying the inverse method, which makes certain hypotheses regarding the form of the velocity field and pressure but without making any regarding the boundaries of the domain occupied by the fluid. Inverse solutions are derived for three different forms of f(x,y). 展开更多
关键词 Exact solutions Vorticity functions Beltrami flow couple stress fluid
下载PDF
上一页 1 2 5 下一页 到第
使用帮助 返回顶部