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Chinese Physics B 2024年第2期33卷 108-114页

作者： U.S.Mahabaleshwar G.P.Vanitha L.M.Pérez Emad H.Aly I.Pop Department of Studies in Mathematics Davangere UniversityShivagangothriDavangereIndia Departamento de F´ısica FACIUniversidad de Tarapac´aCasilla 7DAricaChile Department of Mathematics Faculty of EducationAin Shams UniversityRoxyCairoEgypt Department of Mathematics Babes-Bolyai University400084 Cluj-NapocaRomania

We report on the magnetohydrodynamic impact on the axisymmetric flow of Al_(2)O_(3)/Cu nanoparticles suspended in H_(2)O past a stretched/shrinked *** the use of partial differential equations and the corresponding thermophysical characteristics of nanoparticles,the physical flow process is *** resultant nonlinear system of partial differential equations is converted into a system of ordinary differential equations using the suitable similarity *** transformed differential equations are solved *** of the magnetic parameter,solid volume fraction and stretching/shrinking parameter on momentum and temperature distribution have been analyzed and interpreted *** skin friction and Nusselt number were also *** addition,existence of dual solution was deduced for the shrinking sheet and unique solution for the stretching ***,Al_(2)O_(3)/H_(2)O nanofluid flow has better thermal conductivity on comparing with Cu/H_(2)O ***,it was found that the first solutions of the stream are stable and physically realizable,whereas those of the second ones are unstable.

关键词： magnetohydrodynamic nanofluid stretching/shrinking sheet axisymmetric flow analytical solution suction/injection

magnetohydrodynamic Kelvin-Helmholtz instability for finite-thickness fluid layers

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Chinese Physics B 2022年第12期31卷 82-91页

作者： Hong-Hao Dai Miao-Hua Xu Hong-Yu Guo Ying-Jun Li Jie Zhang State Key Laboratory for Geomechanics and Deep Underground Engineering China University of Mining and TechnologyBeijing 100083China School of Science China University of Mining and TechnologyBeijing 100083China Double-cone Ignition(DCI)Joint Team China University of Mining and TechnologyBeijing 100083China Double-cone Ignition(DCI)Joint Team Beijing National Laboratory for Condensed Matter PhysicsInstitute of PhysicsChinese Academy of SciencesBeijing 100190China

We have derived the analytical formulas for the Kelvin-Helmholtz instability(KHI)of two superposed finite-thickness fluid layers with the magnetic field effect into *** linear growth rate of KHI will be reduced when the thickness of the fluid with large density is decreased or the thickness of fluid with small density is *** the thickness and the magnetic field act together on the KHI,the effect of thickness is more obvious when the magnetic field intensity is *** magnetic field transition layer destabilizes(enforces)the KHI,especially in the case of small thickness of the magnetic field transition *** considering the effect of magnetic field,the linear growth rate of KHI always decreases after reaching the maximum with the increase of total *** stronger the magnetic field intensity is,the more obvious the growth rate decreases with the total ***,it should be included in applications where the effect of fluid thickness on the KHI cannot be ignored,such as in double-cone ignition scheme for inertial confinement fusion.

关键词： finite-thickness Kelvin-Helmholtz instability magnetohydrodynamic inertial confinement fusion

Numerical analysis of deflection control of a gas plasma jet based on magnetohydrodynamic staggered electrode configuration

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Chinese Journal of Aeronautics 2022年第12期35卷 47-58页

作者： Jingjia ZHANG Junwei LI Zelin ZHANG Zhijun WEI School of Aerospace Beijing Institute of TechnologyBeijing 100081China

To control the deflection of the gas plasma jet, a new analytical method is proposed based on the magnetohydrodynamic(MHD) technique. Based on the typical MHD power generation model, the applied voltage is applied to the staggered electrodes, that is, a pair of electrodes on the same side wall are connected to generate an axial current in the channel. Under the action of the magnetic field perpendicular to the direction of the flow, the plasma is subjected to electromagnetic forces perpendicular to these two directions, and the jet is deflected. The computational model including the Navier-Stokes equations coupled with electromagnetic source terms, the electric potential equation and Ohm’s law is solved. The deflection of the gas jet under the action of an electromagnetic field is observed, and the maximum deflection angle is about 14.8°. The influences of the electric field, magnetic field, and conductivity on the jet deflection are studied. Results show that although the influences of these three factors on the deflection are similar, and the effect of increasing the electric field strength is slightly greater, priority should be given to increasing the magnetic field strength from the perspective of reducing energy consumption. The Stuart number is introduced to assess the ability of electromagnetic force to control jet deflection. When the electromagnetic parameters are constant, this solution provides better control of low-density and low-speed fluid flows. The calculation results show that using the staggered electrode method configuration is feasible in terms of controlling the deflection of a plasma jet deflection.

关键词： Deflection angle Deflection control Gas plasma magnetohydrodynamic Thrust vector

Recent advances in high-β_(N) experiments and magnetohydrodynamic instabilities with hybrid scenarios in the HL-2A Tokamak

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Fundamental Research 2022年第5期2卷 667-673页

作者： Wei Chen Liming Yu Min Xu Xiaoquan Ji Zhongbing Shi Xiaoxue He Zhengji Li Yonggao Li Tianbo Wang Min Jiang Shaobo Gong Jie Wen Peiwan Shi Zengchen Yang Kairui Fang Jia Li Lai Wei Wulv Zhong Aiping Sun Jianyong Cao Xingyu Bai Jiquan Li Xuantong Ding Jiaqi Dong Qingwei Yang Yi Liu Longwen Yan Zhengxiong Wang Xuanru Duan Joint Laboratory for Fusion Product and Energetic Particle Southwestern Institute of PhysicsP.O.Box 432Chengdu 610041China Key Laboratory of Materials Modification by Beams of the Ministry of Education School of PhysicsDalian University of TechnologyDalian 116024China

Over the past several years,high-β_(N) experiments have been carried out on *** high-β_(N) is realized using double transport barriers(DTBs)with hybrid scenarios.A stationary high-β_(N) (>2)scenario was obtained by pure neutral-beam injection(NBI)*** high performance was also achieved,corresponding to β_(N)≥3,ne/ne_(G)∼0.6,H_(98)∼1.5,f_(bs)∼30%,q_(95)∼4.0,and𝐺∼*** high-β_(N) scenario was successfully modeled using integrated simulation codes,that is,the one modeling framework for integrated tasks(OMFIT).In high-𝛽𝑁plasmas,magnetohydrodynamic(MHD)instabilities are abundant,including low-frequency global MHD oscilla-tion with n=1,high-frequency coherent mode(HCM)at the edge,and neoclassical tearing mode(NTM)and Alfvénic modes in the *** some high-β_(N) discharges,it is observed that the NTMs with m/n=3/2 limit the growth of the plasma energy and decrease β_(N).The low-n global MHD oscillation is consistent with the coupling of destabilized internal(m/n=1/1)and external(m/n=3/1 or 4/1)modes,and plays a crucial role in triggering the onset of *** high-β_(N) on HL-2A suggests that core-edge interplay is key to the plasma confinement enhancement *** to enhance β_(N) will contribute to future plasma operation,such as international thermonuclear experimental reactor.

关键词： High-β_(N) Transport barrier Hybrid scenario Bootstrapcurrent magnetohydrodynamic

Axisymmetric magnetohydrodynamic flow of micropolar fluid between unsteady stretching surfaces

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Applied Mathematics and Mechanics(English Edition) 2011年第3期32卷 361-374页

作者： T. HAYAT M. NAWAZ S. OBAIDAT Department of Mathematics Quaid-I-Azam University 45320Islamabad 44000Pakistan Department of Mathematics King Saud UniversityP. O. Box 2455Riyadh 11451Saudi Arabia

This investigation examines the time dependent magnetohydrodynamic （MHD） flow problem of a micropolar fluid between two radially stretching sheets. Both strong and weak concentrations of microelements are taken into account. Suitable transformations are employed for the conversion of partial differential equations into ordinary differential equations. Solutions to the resulting problems are developed with a homotopy analysis method （HAM）. The angular velocity, skin friction coefficient, and wall couple stress coefficient are illustrated for various parameters.

关键词： micropolar fluid radial stretching homotopy analysis solution skin friction coefficient wall couple stress coefficient magnetohydrodynamic

Existence and blow-up of the solutions to the viscous quantum magnetohydrodynamic nematic liquid crystal model

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Science China Mathematics 2019年第3期62卷 469-508页

作者： Guangwu Wang Boling Guo School of Mathematics and Information Science Guangzhou University Graduate School of China Academy of Engineering Physics Institute of Applied Physics and Computational Mathematics China Academy of Engineering Physics

In this paper, we investigate the coupled viscous quantum magnetohydrodynamic equations and nematic liquid crystal equations which describe the motion of the nematic liquid crystals under the magnetic field and the quantum effects in the two-dimensional case. We prove the existence of the global finite energy weak solutions by use of a singular pressure close to vacuum. Then we obtain the local-in-time existence of the smooth solution. In the final, the blow-up of the smooth solutions is studied. The main techniques are Faedo-Galerkin method, compactness theory, Arzela-Ascoli theorem and construction of the functional differential inequality.

关键词： viscous quantum magnetohydrodynamic equations nematic liquid crystal global weak solution singular pressure smooth solution blow-up

magnetohydrodynamic Calculations of Toroidal Fusion Reactor to Ensure Stable Control

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Open Journal of Applied Sciences 2016年第7期6卷 402-408页

作者： Aybaba Hançerlioğullari Asli Kurnaz Yosef G. Ali Madee Department of Physics Faculty of Arts and Sciences Kastamonu University Kastamonu Turkey

The development of magnetic configurations to confine the stability fluid plasmas for fusion energy is a challenge that is a mixture of basic fusion engineering and invention. In order to keep the fusion reactions in the plasma to be continuing in the fusion reactors, the speed of tritium breeding (TBR) should be kept above a certain value. At the Apex fusion reactor, a fast flowing thin liquid wall has replaced the solid first wall concept of the traditional reactors. Behind the fast flowing thin liquid wall, a slower and thicker second liquid wall (coat) is present. Monte Carlo Random method (MCRS) is the general name for the solution of experimental and statistical problems with a random approach. This method is dependent upon the theory of probability. In the present work, Mhd impacts are investigated quite unimportant for Flibe salt solutions. In this study, the fissile fuel production calculations are done for a neutron wall load of 10 MW/m2 fissile fuel production rates of 238U(n, γ)239Pu and 232Th(n,γ)233U increases almost linearly with increased heavy metal content.

关键词： Fusion Reactor Monte Carlo magnetohydrodynamic Tritium Breeding (TBR)

magnetohydrodynamic Effect on Free Convection of Three Dimensional Laminar Flow in Porous Annulus

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Journal of Energy and Power Engineering 2013年第9期7卷 1691-1704页

作者： Manal H. AL-Hafidh Muna S. Kassim Department of Mechanical Engineering Faculty of Engineering Baghdad University Baghdad 10071 Iraq Department of Mechanical Engineering Faculty of Engineering Al-Mustansiriya University Baghdad 10052 lraq

A numerical study has been carried out to investigate heat transfer by free convection under the effect of MHD （magnetohydrodynamic） for steady state three-dimensional laminar flow in horizontal and vertical cylindrical annulus filled with saturated porous media （sand silica） with fins attached to the inner cylinder. A single electric coil placed around the inner cylinder to generate a magnetic field. The governing equations which used are continuity, momentum （using Darcy＇s law） and energy equations which are transformed to dimensionless equations. The finite difference approach is used to obtain all the computational results using Fortran 90 program. The parameters affected on the system are Rayleigh number ranging within （102 ~ Ra＊〈 104）, and MHD （Mn）（0 〈_ Mn 〈_ 100） and radius ratio Rr （0.225, 0.338 and 0.435）. The results obtained are presented graphically in the form of streamline and isotherm contour plots and the results show that heat transfer decrease with the increase of magnetohydrodynamic. It was found that the average Nusselt number increase with Ra＊ and decrease with H~ Mn and Rr. A correlation for the average Nusselt number in terms of Ra＊ and Mn, has been developed for the inner cylinder.

关键词： Free convection magnetohydrodynamic horizontal and vertical annulus laminar flow porous media annular fins numerical solution.

A Review of Some Reference Analytic Solutions for the magnetohydrodynamic Flow of Blood

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Applied Mathematics 2018年第10期9卷 1179-1192页

作者： Agnès Drochon Manon Beuque Dima Abi-Abdallah Rodriguez Université de Technologie de Compiègne Galileo Galilei Sorbonne Universités Compiègne France Université de Technologie de Compiègne Compiègne France IR4M Paris-Sud University Université Paris Saclay Orsay France

A short review of some reference solutions for the magnetohydrodynamic flow of blood is proposed in this paper. We present in details the solutions of Hartmann (1937), of Vardanyan (1973) and of Sud et al. (1974). In each case, a comparison is provided with the corresponding solution for the flow without any external magnetic field, namely Poiseuille (plane or cylindrical) and Womersley. We also present a synopsis of some other solutions for people who would like to go further in this topic. The interest in MHD flow of blood may be motivated by many reasons, such as Magnetic Resonance Imaging (MRI), Pulse Wave Velocity measurement, magnetic drug targeting, tissue engineering, mechanotransduction studies, and blood pulse energy harvesting… These fundamental solutions should also be used as particular limiting cases to validate any proposed more elaborated solutions or to validate computer codes.

关键词： magnetohydrodynamic Flow of Blood Magnetic Field in Biomedical Applications Hartmann Womersley

Unsteady magnetohydrodynamic Boundary Layer Flow near the Stagnation Point towards a Shrinking Surface

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Journal of Applied Mathematics and Physics 2015年第7期3卷 921-930页

作者： Santosh Chaudhary Pradeep Kumar Department of Mathematics Malaviya National Institute of Technology Jaipur India

The unsteady two-dimensional, laminar flow of a viscous, incompressible, electrically conducting fluid towards a shrinking surface in the presence of a uniform transverse magnetic field is studied. Taking suitable similarity variables, the governing boundary layer equations are transformed to ordinary differential equations and solved numerically by a perturbation technique for a small magnetic parameter. The effects of various parameters such as unsteadiness parameter, velocity parameter, magnetic parameter, Prandtl number and Eckert number for velocity and temperature distributions along with local Skin friction coefficient and local Nusselt number have been discussed in detail through numerical and graphical representations.

关键词： Unsteady Flow magnetohydrodynamic Boundary Layer Stagnation Point Shrinking Surface