Finite Element Solution of an Unsteady MHD Flow through Porous Medium between Two Parallel Flat Plates by AbdelLatif Sa’adAldin, Naji Qatanani

“…Finite element solution of unsteady magnetohydrodynamics (MHD) flow of an electrically conducting, incompressible viscous fluid past through porous medium between two parallel plates is presented in the presence of a transverse magnetic field and Hall effect. …”
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Local Well-Posedness and Blow-Up for the Solutions to the Axisymmetric Inviscid Hall-MHD Equations by Eunji Jeong, Junha Kim, Jihoon Lee

“…In this paper, we consider the regularity problem of the solutions to the axisymmetric, inviscid, and incompressible Hall-magnetohydrodynamics (Hall-MHD) equations. First, we obtain the local-in-time existence of sufficiently regular solutions to the axisymmetric inviscid Hall-MHD equations without resistivity. …”
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Flow of Brinkman Fluid with Heat Generation and Chemical Reaction by M. Ramzan, Zaib Un Nisa, M. Ahmad, M. Nazar

“…Unsteady magnetohydrodynamics (MHD) flow of fractionalized Brinkman-type fluid over a vertical plate is discussed. …”
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Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson Model under the Effects of Heat Generation and Viscous Dissipation by M.M. Khader, A. Eid, M. Adel

“…Theoretical investigation of magnetohydrodynamics (MHD) Casson and Williamson fluid flow and heat and mass transfer in laminar flow through a stretching sheet in the presence of heat generation is carried out in this study. …”
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Dufour Effect on Transient MHD Double Convection Flow of Fractionalized Second-Grade Fluid with Caputo–Fabrizio Derivative by Imran Siddique, Sehrish Ayaz, Fahd Jarad

“…This article presents the problem, in which we study the unsteady double convection flow of a magnetohydrodynamics (MHD) differential-type fluid flow in the presence of heat source, Newtonian heating, and Dufour effect over an infinite vertical plate with fractional mass diffusion and thermal transports. …”
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Bernstein Collocation Method for Solving MHD Jeffery–Hamel Blood Flow Problem with Error Estimations by Ahmad Sami Bataineh, Osman Rasit Isik, Ishak Hashim

“…In this paper, the Bernstein collocation method (BCM) is used for the first time to solve the nonlinear magnetohydrodynamics (MHD) Jeffery–Hamel arterial blood flow issue. …”
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Fractional Analysis of MHD Boundary Layer Flow over a Stretching Sheet in Porous Medium: A New Stochastic Method by Imran Khan, Hakeem Ullah, Hussain AlSalman, Mehreen Fiza, Saeed Islam, Muhammad Shoaib, Muhammad Asif Zahoor Raja, Abdu Gumaei, Farkhanda Ikhlaq

“…It is proposed for solving the magnetohydrodynamics (MHD) fractional flow of boundary layer over a porous stretching sheet (MHDFF BLPSS) problem. …”
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Aspects of Dual Simulation for Modified Thermal Flux Advances in Non-Newtonian Reiner–Philippoff Fluid Flow past a Shrinking Plate Embedded in a Porous Medium by Nurhana Mohamad, Anuar Ishak, Umair Khan, Sawan Kumar Rawat, Md Irfanul Haque Siddiqui

“…This study investigates the effects of non-Newtonian Reiner–Philippoff fluids on porous media, particularly in the context of steady radiative mixed convection flow and heat transfer near a shrinking plate surface in the presence of magnetohydrodynamics (MHD). The mathematical model is constructed using PDEs and transformed into ODEs via similarity transformations, with numerical solutions obtained using MATLAB’s bvp4c function. …”
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Modeling and experiment of slag corrosion on the lightweight alumina refractory with static magnetic field facing green metallurgy by Huang A., Lian P., Fu L., Gu H., Zou Y.

“…The results show that the combination of the slag properties change, and electromagnetic damping caused by MHD (magnetohydrodynamics) effect can enhance the slag corrosion resistance by inhibiting slag penetration and promoting formation of a directional isolation layer, and be beneficial to high-quality clean steel production.…”
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Impact of the nonlinear thermal radiation on the Arrhenius activation energy of tangent hyperbolic micropolar hybrid nanofluid flow across an extending surface by MD. Shamshuddin, Balasani Srinitha, S.O. Salawu, M. Sunder Ram

“…Our study is built on a rigorous methodology, exploring the impact of hybridized nanofluids flow with magnetohydrodynamics and micropolar properties over a stretched sheet. …”
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Hall and Thermo‐Diffusion Effects on Chemically Reactive MHD Unsteady Brinkman‐Type Dissipative Flow of EO‐Based MoS2 Nanofluid From a Rotating Plate in Porous Medium by B. Prabhakar Reddy, Jumanne Mng'ang'a, M. Paul Matao

“…Therefore, this study analyzes the thermo‐diffusion Brinkman‐type radiative engine‐oil based unsteady magnetohydrodynamics heat consuming Molybdenum‐disulfide nanofluid flow with Hall, chemical reaction and viscous dissipation impacts from a rotating plate in porous environs. …”
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The Vlasiator 5.2 ionosphere – coupling a magnetospheric hybrid-Vlasov simulation with a height-integrated ionosphere model by U. Ganse, Y. Pfau-Kempf, H. Zhou, L. Juusola, L. Juusola, A. Workayehu, F. Kebede, K. Papadakis, M. Grandin, M. Alho, M. Battarbee, M. Dubart, L. Kotipalo, A. Lalagüe, J. Suni, K. Horaites, M. Palmroth, M. Palmroth

“…For the most part, they are based on fluid descriptions of plasma (magnetohydrodynamics, MHD) formalism, coupled to an electrostatic ionosphere. …”
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Pressure-anisotropy-mediated Helical Dynamo in Turbulent Collisionless Plasmas by Z. H. Zhao, W. Q. Yuan, L. X. Li, X. W. Zhu, X. X. Jin, S. P. Zhu, X. T. He, B. Qiao

“…We find that, by triggering kinetic mirror and firehose instabilities, the pressure anisotropy—a kinetic effect that is unresolved in conventional magnetohydrodynamics—is the key physics that produces net magnetic helicity that can be inversely transferred to large scales. …”
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Toward High-order Solar Corona Simulations: A High-order Hyperbolized Poisson Approach for Magnetic Field Initialization by Rayan Dhib, Firas Ben Ameur, Vatsalya Sharma, Andrea Lani, Stefaan Poedts

“…Proper initialization of the solar corona magnetic field is important for easing the iterative process of realistic and efficient global magnetohydrodynamics (MHD) simulations. This study introduces a high-order flux reconstruction (FR) framework for solving the Poisson equation, a necessary step for computing a potential-field source-surface (PFSS) to initialize the magnetic field for global solar corona simulations with MHD. …”
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Multimessenger Probes of Supermassive Black Hole Spin Evolution by Angelo Ricarte, Priyamvada Natarajan, Ramesh Narayan, Daniel C. M. Palumbo

“…Using the semianalytic model Serotina , we investigate the cosmic spin evolution of supermassive black holes (SMBHs) incorporating recent results from general-relativistic magnetohydrodynamics simulations of spin-down from relativistic jets. …”
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MHD flow of an elastico-viscous fluid under periodic body acceleration by E. F. El-Shehawey, Elsayed M. E. Elbarbary, N. A. S. Afifi, Mostafa Elshahed

“…Magnetohydrodynamic (MHD) flow of blood has been studied under the influence of body acceleration. …”
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Well-posedness of the MHD boundary layer equations with small initial data in Sobolev space by Xiaolei Dong

“…The purpose of this paper is to prove the well-posedness of the 2D magnetohydrodynamic (MHD) boundary layer equations for small initial data in Sobolev space of polynomial weight and low regularity. …”
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Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions by Andrew N. Guarendi, Abhilash J. Chandy

“…Details of the schemes, their implementation, and properties are presented together with results from several prototypical applications of hyperbolic conservation laws including a nonlinear scalar equation, the Euler equations of gas dynamics, and the ideal magnetohydrodynamic equations. Parallel scaling analysis and grid-independent results including contours and isosurfaces of density and velocity and magnetic field vectors are shown in this study, confirming the ability of these types of solvers to approximate the solutions of hyperbolic equations efficiently and accurately.…”
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A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model by N. H. Sweilam, Khloud R. Khater, Zafer M. Asker, Waleed Abdel Kareem

“…In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. …”
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High Energy Neutrino Emission from Astrophysical Jets in the Galaxy by T. Smponias, O. T. Kosmas

“…The jet flow simulations are performed using the modern PLUTO hydrocode in its relativistic magnetohydrodynamic version. One of the main ingredients of the present work is the presence of a toroidal magnetic field that confines the jet flow and furthermore greatly affects the distribution of the high energy neutrinos.…”
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