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Local Regularity for a 1D Compressible Viscous micropolar fluid Model with Non-homogeneous Temperature Boundary

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Chinese Quarterly Journal of Mathematics 2014年第1期29卷 129-141页

作者： SUN Lin-lin LIANG Tie-wang ZHANG Jian-peng College of Science Donghua University Shanghai 201620 China Department of Infomation andArts Design Henan Forestry Vocational College Luoyang 471002 China

In this paper,we discuss the local existence of H^i(i=2,4)solutions for a 1D compressible viscous micropolar fluid model with non-homogeneous temperature *** proof is based on the local existence of solutions in[1].

关键词： compressible Navier-Stokes equations micropolar fluid the initial boundary value problem non-homogeneous temperature boundary

Wave propagation at interface of heat conducting micropolar solid and fluid media

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Applied Mathematics and Mechanics(English Edition) 2011年第7期32卷 881-902页

作者： R.KUMAR M.KAUR S.C.RAJVANSHI Department of Mathematics Kurukshetra UniversityKurukshetra 136119India Department of Applied Sciences Guru Nanak Dev Engineering CollegeLudhianaPunjab 141008India Department of Applied Sciences Gurukul VidyapeethInstitute of Engineering and TechnologyBanurPunjab 140601India

The present investigation is concerned with the wave propagation at an interface of a micropolar generalized thermoelastic solid half space and a heat conducting micropolar fluid half space. Reflection and transmission phenomena of plane waves are investigated, which impinge obliquely at the plane interface between a micropolar generalized thermoelastic solid half space and a heat conducting micropolar fluid half space. The incident wave is assumed to be striking at the interface after propagating through the micropolar generalized thermoelastic solid. The amplitude ratios of various reflected and transmitted waves are obtained in a closed form. It is found that they are a function of the angle of incidence and frequency and are affected by the elastic properties of the media. micropolarity and thermal relaxation effects are shown on the amplitude ratios for a specific model. The results of some earlier literatures are also deduced from the present investigation.

关键词： micropolar solid micropolar fluid thermoelastic reflection coefficient,transmission coefficient half space

Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall

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Applied Mathematics and Mechanics(English Edition) 2010年第9期31卷 1073-1080页

作者：司新辉郑连存张欣欣晁莹 Applied Science School University of Science and Technology Beijing Mechanical Engineering School University of Science and Technology Beijing Research Institute of Chemical Defense

The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall is investigated. The governing equations are reduced to ordinary ones by using similar transformations. To get the analytic solution to the problem, the homotopy analysis method （HAM） is employed to obtain the expressions for velocity fields. Graphs are sketched and discussed for various parameters, especially the effect of the expansion ratio on velocity and micro-rotation fields.

关键词： homotopy analysis method micropolar fluid expanding or contracting wall porous channel

Validation of an improved two-fluid model with particle rotation for gas-solid fluidized bed

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Particuology 2023年第10期81卷 149-161页

作者： Lian Wang Xihua Chu School of Civil Engineering Wuhan UniversityWuhan430072HubeiChina

Gas-solid fluidized beds are widely applied in chemical and process *** is of significance to establish a reasonable and effective mathematical model to explore the hydrodynamics of gas-particle system for industrial *** a less computationally demanding alternative to the discrete descriptions,two-fluid model considering kinetic theory of granular flow is often adopted to describe the fluidized behaviors of particles,but it cannot characterize the rotation of particles and its influence on the fluidized *** this study,to address the rotation effect of the fluidized particles,a two-fluid model combining the classical fluid and micropolar fluid is established,namely *** the CMTFM,classical fluid is used to describe the motion of gas phase,while micropolar fluid is adopted to describe the motion of particle phase,and the rotation of particles and its influence on the hydrodynamics of the gas-particle system are characterized by the degree of freedom of microrotation and the improved drag force based on micropolar *** the calculation of the gas-solid bubbling fluidized bed,we investigated the influence of the microstructure parameters,particle-particle collision restitution coefficient and inlet velocity,and the results are compared to those from TFM model and *** the analysis,it manifests that pressure drop and expansion height of the fluidized bed under the consideration of the microrotation effect are closer to the experiments,which demonstrates the feasibility and advantage of the classical-micropolar two-fluid model.

关键词： Gas-solid fluidized bed Two-fluid model micropolar fluid Microstructure parameter fluidized behaviors

Time periodic electroosmotic flow of micropolar fluids through microparallel channel

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Applied Mathematics and Mechanics(English Edition) 2016年第6期37卷 769-786页

作者： Zhaodong DING Yongjun JIAN Liangui YANG School of Mathematical Sciences Inner Mongolia University

The time periodic electroosmotic between two infinitely extended microparallel flow of an incompressible micropolar fluid plates is studied. The analytical solutions of the velocity and microrotation are derived under the Debye-Hiickel approximation. The effects of the related dimensionless parameters, e.g., the micropolar parameter, the frequency, the electrokinetic width, and the wall zeta potential ratio of the upper plate to the lower plate, on the electroosmotic velocity and rnicrorotation are investigated. The results show that the amplitudes of the velocity and the volume flow rate will drop to zero when the micropolar parameter increases from 0 to 1. The effects of the electrokinetic width and the frequency on the velocity of the micropolar fluid are similar to those of the Newtonian fluid. However, the dependence of the microrotation on the related parameters mentioned above is complex. In order to describe these effects clearly, the dimensionless microrotation strength and the penetration depth of the microrotation are defined, which are used to explain the variation of the microrotation. In addition, the effects of various parameters on the dimensionless stress tensor at the walls are studied.

关键词： micropolar fluid electroosmotic flow microrotation strength penetration depth

Dynamics of bioconvection flow of micropolar nanoparticles with Cattaneo-Christov expressions

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Applied Mathematics and Mechanics(English Edition) 2020年第9期41卷 1333-1344页

作者： S.A.SHEHZAD T.MUSHTAQ Z.ABBAS A.RAUF S.U.KHAN I.TLILI Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department of Mathematics COMSATS University IslamabadVehari 61100Pakistan Department of Mathematics The Islamia University of BahawalpurBahawalpur 63100Pakistan Institute of Research and Development Duy Tan UniversityDa Nang 550000Vietnam Faculty of Civil Engineering Duy Tan UniversityDa Nang 550000Vietnam

A numerical analysis is performed to analyze the bioconvective double diffusive micropolar non-Newtonian nanofluid flow caused by stationary porous *** consequences of the current flow problem are further extended by incorporating the Brownian and thermophoresis *** energy and mass species equations are developed by utilizing the Cattaneo and Christov model of heat-mass *** flow equations are converted into an ordinary differential model by employing the appropriate *** numerical solution is reported by using the MATLAB builtin bvp4c *** consequences of engineering parameters on the flow velocity,the concentration,the microorganisms,and the temperature profiles are evaluated *** numerical data for fascinating physical quantities,namely,the motile density number,the local Sherwood number,and the local Nusselt number,are calculated and executed against various parametric *** microrotation magnitude reduces for increasing magnetic *** intensity of the applied magnetic field may be utilized to reduce the angular rotation which occurs in the lubrication processes,especially in the suspension of *** the account of industrial applications,the constituted output can be useful to enhance the energy transport efficacy and microbial fuel cells.

关键词： bioconvection flow micropolar fluid nanoparticle Cattaneo-Christov theory porous disk

Molybdenum disulfide and magnesium oxide nanoparticle performance on micropolar Cattaneo-Christov heat flux model

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Applied Mathematics and Mechanics(English Edition) 2021年第4期42卷 541-552页

作者： M.G.REDDY S.A.SHEHZAD Department of Mathematics Acharya Nagarjuna University CampusOngole 523001Andhra PradeshIndia Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan

This article intends to illustrate the Darcy flow and melting heat transmission in micropolar *** major advantage of micropolar fluid is the liquid particle rotation through an independent kinematic vector named the microrotation *** novel aspects of the Cattaneo-Christov(C-C)heat flux and Joule heating are incorporated in the energy transport *** different nanoparticles,namely,MoS2 and MgO,are suspended into the *** governing partial differential equations(PDEs)of the prevailing problem are slackening into ordinary differential expressions(ODEs)via similarity *** resulting mathematical phenomenon is illustrated by the implication of fourth-fifth order Runge-Kutta-Fehlberg(RKF)*** fluid velocity and temperature distributions are deliberated by using graphical phenomena for multiple values of physical *** results are displayed for both molybdenum disulphide and magnesium oxide nanoparticles.A comparative benchmark in the limiting approach is reported for the validation of the present *** is revealed that the incrementing material constraint results in a higher fluid velocity for both molybdenum disulphide and magnesium oxide nanoparticle situations.

关键词： micropolar fluid Cattaneo-Christov(C-C)heat flux molybdenum disulphide nanoparticle melting effect numerical solution

A Numerical Tackling on Sakiadis Flow with Thermal Radiation

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Chinese Physics Letters 2008年第4期25卷 1340-1342页

作者： Rafael Cortell Department of Appfied Physics Polytechnic University of Valencia 46022 Valencia Spain

Momentum and energy laminar boundary layers of an incompressible fluid with thermal radiation about a moving plate in a quiescent ambient fluid are investigated numerically. Also, it has been underlined that the analy... 详细信息

关键词： BOUNDARY-LAYER EQUATIONS FINITE-DIFFERENCE METHOD POROUS VERTICAL PLATE NON-NEWTONIAN fluid HEAT-TRANSFER VARIABLE VISCOSITY VISCOELASTIC fluid micropolar fluid BLASIUS EQUATION STRETCHING SHEET

A Numerical Study of Multiple Solutions for Laminar Flows in a Porous and Moving Channel

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Numerical Mathematics(Theory,Methods and Applications) 2018年第1期11卷 74-91页

作者： Fen Wang Ping Lin Lin Li Yongyue Jiang Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science School of Mathematics and PhysicsUniversity of Science and Technology BeijingBeijing 100083China Division of Mathematics University of DundeeDundee DD14HNUnited Kingdom Beijing Time Technologies Co. Ltd.Kaituo Road 17BeijingChina

In this paper,based on the finite element formulation,we focus on multiple solutions and their evolution with time for a laminar flow in a permeable channel with expanding or contracting *** Newtonian fluid and micropolar fluid are *** the Newtonian fluid model,we find that the profile of the unique solution in the case of injection remains the same for long time,which indicates that the solution may be *** the other hand,in the case of large suction,the profile of multiple solutions changes in time,which suggests that the multiple solutions may be *** behaviors and conclusions are observed for the micropolar fluid model under different boundary parameters.

关键词： Newtonian fluid micropolar fluid multiple solutions finite element method bvp4c