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Relevant bibliographies by topics / Magnetohydrodynamics – Mathematical models

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Academic literature on the topic 'Magnetohydrodynamics – Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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Journal articles on the topic "Magnetohydrodynamics – Mathematical models"

1

Kondyukov, A. O., T. G. Sukacheva, S. I. Kadchenko, and L. S. Ryazanova. "Computational Experiment for a Class of Mathematical Models of Magnetohydrodynamics." Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 10, no. 1 (2017): 149–55. http://dx.doi.org/10.14529/mmp170110.

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Riaz, Arshad, Hanan Alolaiyan, and Abdul Razaq. "Convective Heat Transfer and Magnetohydrodynamics across a Peristaltic Channel Coated with Nonlinear Nanofluid." Coatings 9, no. 12 (2019): 816. http://dx.doi.org/10.3390/coatings9120816.

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The aim of the current study is to present an analytical and numerical treatment of a two-dimensional peristaltic channel along with the coating of laminar layers of nanoparticles with non-Newtonian (Williamson) base liquid. In addition to this, convective heat transfer and magnetic field effects also take into consideration. The geometry is considered as an asymmetric two dimensional channel experiencing sinusoidal waves propagating across the walls. The walls are supposed to have heat convection at the upper wall and the lower wall is having no temperature gradient. The problem is manufactur

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Akbar, Noreen Sher, O. Anwar Beg, and Z. H. Khan. "Magneto-nanofluid flow with heat transfer past a stretching surface for the new heat flux model using numerical approach." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 6 (2017): 1215–30. http://dx.doi.org/10.1108/hff-03-2016-0125.

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Purpose Sheet processing of magnetic nanomaterials is emerging as a new branch of smart materials’ manufacturing. The efficient production of such materials combines many physical phenomena including magnetohydrodynamics (MHD), nanoscale, thermal and mass diffusion effects. To improve the understanding of complex inter-disciplinary transport phenomena in such systems, mathematical models provide a robust approach. Motivated by this, this study aims to develop a mathematical model for steady, laminar, MHD, incompressible nanofluid flow, heat and mass transfer from a stretching sheet. Design/met

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MOSTAFAZADEH, ALI. "PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS." International Journal of Geometric Methods in Modern Physics 07, no. 07 (2010): 1191–306. http://dx.doi.org/10.1142/s0219887810004816.

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A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define a unitary quantum system, if one modifies the inner product of the Hilbert space properly. We give a comprehensive and essentially self-contained review of the basic ideas and techniques responsible for the recent developments in this subject. We provide a critical assessment of the role of the geometry of the Hilbert space in conventional quantum mechanics to reveal the basic physical principle motivating our study. We then offer a survey of the necessary mathematical tools, present their utility in establ

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Smolentsev, Sergey Yu. "Mathematical models for magnetohydrodynamic-flows in a fusion reactor blanket." Plasma Devices and Operations 7, no. 3 (1999): 231–41. http://dx.doi.org/10.1080/10519999908228781.

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Xie, Feng, and Christian Klingenberg. "A limit problem for three-dimensional ideal compressible radiation magneto-hydrodynamics." Analysis and Applications 16, no. 01 (2017): 85–102. http://dx.doi.org/10.1142/s0219530516500238.

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General radiation magnetic hydrodynamics models include two main parts that are coupled: one part is the macroscopic magnetic fluid part, which is governed by the ideal compressible magnetohydrodynamic (MHD) equations with additional radiation terms; another part is the radiation field, which is described by a transfer equation. It is well known that in radiation hydrodynamics without a magnetic field there are two physical approximations: one is the so-called P1 approximation and the other is the so-called gray approximation. Starting out with a general radiation MHD model one can derive the

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Kwon, Young-Sam. "Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows." Advances in Mathematical Physics 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/9493186.

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We consider the compressible models of magnetohydrodynamic flows giving rise to a variety of mathematical problems in many areas. We derive a rigorous quasi-geostrophic equation governed by magnetic field from the stratified flows of the rotational compressible magnetohydrodynamic flows with the well-prepared initial data and the tool of proof is based on the relative entropy. Furthermore, the convergence rates are obtained.

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Popova, N. N. "Parallel computation in magnetohydrodynamic models." Computational Mathematics and Modeling 1, no. 4 (1990): 452–58. http://dx.doi.org/10.1007/bf01128296.

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Hussain, Farooq, Rahmat Ellahi, and Ahmad Zeeshan. "Mathematical Models of Electro-Magnetohydrodynamic Multiphase Flows Synthesis with Nano-Sized Hafnium Particles." Applied Sciences 8, no. 2 (2018): 275. http://dx.doi.org/10.3390/app8020275.

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Linshiz, Jasmine S., та Edriss S. Titi. "Analytical study of certain magnetohydrodynamic-α models". Journal of Mathematical Physics 48, № 6 (2007): 065504. http://dx.doi.org/10.1063/1.2360145.

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Dissertations / Theses on the topic "Magnetohydrodynamics – Mathematical models"

1

Elsden, Tom. "Numerical modelling of ultra low frequency waves in Earth's magnetosphere." Thesis, University of St Andrews, 2016. http://hdl.handle.net/10023/15663.

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Ultra Low Frequency (ULF) waves are a ubiquitous feature of Earth's outer atmosphere, known as the magnetosphere, having been observed on the ground for almost two centuries, and in space over the last 50 years. These waves represent small oscillations in Earth's magnetic field, most often as a response to the external influence of the solar wind. They are important for the transfer of energy throughout the magnetosphere and for coupling different regions together. In this thesis, various features of these oscillations are considered. A detailed background on the history and previous study of

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McDougall-Bagnall, A. M. Dee. "MHD mode conversion of fast and slow magnetoacoustic waves in the solar corona." Thesis, University of St Andrews, 2010. http://hdl.handle.net/10023/1361.

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There are three main wave types present in the Sun’s atmosphere: Alfvén waves and fast and slow magnetoacoustic waves. Alfvén waves are purely magnetic and would not exist if it was not for the Sun’s magnetic field. The fast and slow magnetoacoustic waves are so named due to their relative phase speeds. As the magnetic field tends to zero, the slow wave goes to zero as the fast wave becomes the sound wave. When a resonance occurs energy may be transferred between the different modes, causing one to increase in amplitude whilst the other decreases. This is known as mode conversion. Mode conve

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Blackbourn, Luke A. K. "An analytical, phenomenological and numerical study of geophysical and magnetohydrodynamic turbulence in two dimensions." Thesis, University of St Andrews, 2013. http://hdl.handle.net/10023/4291.

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In this thesis I study a variety of two-dimensional turbulent systems using a mixed analytical, phenomenological and numerical approach. The systems under consideration are governed by the two-dimensional Navier-Stokes (2DNS), surface quasigeostrophic (SQG), alpha-turbulence and magnetohydrodynamic (MHD) equations. The main analytical focus is on the number of degrees of freedom of a given system, defined as the least value $N$ such that all $n$-dimensional ($n$ ≥ $N$) volume elements along a given trajectory contract during the course of evolution. By equating $N$ with the number of active Fo

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Stevenson, Julie E. H. "On the properties of single-separator MHS equilibria and the nature of separator reconnection." Thesis, University of St Andrews, 2015. http://hdl.handle.net/10023/6678.

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This thesis considers the properties of MHS equilibria formed through non-resistive MHD relaxation of analytical non-potential magnetic field models, which contain two null points connected by a generic separator. Four types of analytical magnetic fields are formulated, with different forms of current. The magnetic field model which has a uniform current directed along the separator, is used through the rest of this thesis to form MHS equilibria and to study reconnection. This magnetic field, which is not force-free, embedded in a high-beta plasma, relaxes non-resistively using a 3D MHD code.

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Fuentes, Fernández Jorge. "MHD evolution of magnetic null points to static equilibria." Thesis, University of St Andrews, 2011. http://hdl.handle.net/10023/1897.

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In magnetised plasmas, magnetic reconnection is the process of magnetic field merging and recombination through which considerable amounts of magnetic energy may be converted into other forms of energy. Reconnection is a key mechanism for solar flares and coronal mass ejections in the solar atmosphere, it is believed to be an important source of heating of the solar corona, and it plays a major role in the acceleration of particles in the Earth's magnetotail. For reconnection to occur, the magnetic field must, in localised regions, be able to diffuse through the plasma. Ideal locations for dif

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Lessinnes, Thomas. "Magnetohydrodynamic turbulence modelling: application to the dynamo effect." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210042.

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La magnétohydrodynamique (MHD) est la science et le formalisme qui décrivent les mouvements d'un fluide conducteur d'électricité. Il est possible que de tels mouvements donnent lieu à l'effet dynamo qui consiste en la génération d'un champ magnétique stable et de grande échelle. Ce phénomène est vraisemblablement à l'origine des champs magnétiques des planètes, des étoiles et des galaxies. <p><p>Il est surprenant qu'alors que les mouvements fluides à l'intérieur de ces objets célestes sont turbulents, les champs magnétiques généré soient de grande échelle spatiale et stables sur de longues pér

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Sturrock, Zoe. "Numerical simulations of sunspot rotation driven by magnetic flux emergence." Thesis, University of St Andrews, 2017. http://hdl.handle.net/10023/10129.

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Magnetic flux continually emerges from the Sun, rising through the solar interior, emerging at the photosphere in the form of sunspots and expanding into the atmosphere. Observations of sunspot rotations have been reported for over a century and are often accompanied by solar eruptions and flaring activity. In this thesis, we present 3D numerical simulations of the emergence of twisted flux tubes from the uppermost layers of the solar interior, examining the rotational movements of sunspots in the photospheric plane. The basic experiment introduces the mechanism and characteristics of sunspot

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MacTaggart, David. "Theoretical magnetic flux emergence." Thesis, University of St Andrews, 2011. http://hdl.handle.net/10023/1692.

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Magnetic flux emergence is the subject of how magnetic fields from the solar interior can rise and expand into the atmosphere to produce active regions. It is the link that joins dynamics in the convection zone with dynamics in the atmosphere. In this thesis, we study many aspects of magnetic flux emergence through mathematical modelling and computer simulations. Our primary aim is to understand the key physical processes that lie behind emergence. The first chapter introduces flux emergence and the theoretical framework, magnetohydrodynamics (MHD), that describes it. In the second chapter, we

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Teaca, Bogdan. "Numerical simulations of transport processes in magnetohydrodynamic turbulence." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210082.

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Le couplage important entre les différentes échelles d’un écoulement est une des caractéristiques prin-cipales des turbulences. Cela est exprimé mathématiquement par les termes non linéaires présents dans les équations d’équilibre de l’écoulement, dominants en dynamique turbulente. En magnétohy-drodynamique (MHD), la force de Lorentz influe sur l’équation de conservation de l’impulsion et le nombre de termes non linéaires passe à quatre au lieu d’un seul pour un fluide non conducteur.<p>L’objectif principal de cette thèse est d’analyser le transport d’énergie inter-échelles en utilisant une si

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Grady, Keith J. "Solar flare particle acceleration in collapsing magnetic traps." Thesis, University of St Andrews, 2012. http://hdl.handle.net/10023/2839.

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The topic of this thesis is a detailed investigation of different aspects of the particle acceleration mechanisms operating in Collapsing Magnetic Traps (CMTs), which have been suggested as one possible mechanism for particle acceleration during solar flares. The acceleration processes in CMTs are investigated using guiding centre test particle calculations. Results including terms of different orders in the guiding centre approximation are compared to help identify which of the terms are important for the acceleration of particles. For a basic 2D CMT model the effects of different initial con

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Books on the topic "Magnetohydrodynamics – Mathematical models"

1

Brushlinskiĭ, K. V. Matematicheskie i vychislitelʹnye zadachi magnitnoĭ gazodinamiki. BINOM, Laboratorii︠a︡ znaniĭ, 2009.

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2

Nedospasov, A. V. Osnovy fiziki prot͡s︡essov v ustroĭstvakh s nizkotemperaturnoĭ plazmoĭ. Ėnergoatomizdat, 1991.

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Zaporowski, Bolesław. Przetwarzanie energii w przepływie niskotemperaturowej plazmy w polu magnetycznym. Wydawn. Politechniki Poznańskiej, 1993.

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Lisgo, Steven William. Interpretive modeling of the Alcator C-Mod divertor. University of Toronto, Institute for Aerospace Studies, 2003.

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5

Jets from young stars IV: From models to observations and experiments. Springer, 2010.

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6

V, Drozdov V., та Medvedev S. I͡U, ред. Chislennoe modelirovanie ravnovesii͡a i ustoĭchivosti toroidalʹnoĭ plazmy. In-t prikladnoĭ matematiki AN SSSR, 1989.

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Armstrong, T. W. Trapped radiation model uncertainties: Model, data and model, model comparisons. National Aeronautics and Space Administration, Marshall Space Flight Center, 2000.

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G, Lebedev V., and Mytarev Alexander I, eds. Vikhrevye prot͡s︡essy i dinamika tverdogo tela: Zadachi dinamiki kosmicheskikh apparatov i sistem na magnitnoĭ podveske. "Nauka," Glav. red. fiziko-matematicheskoĭ lit-ry, 1992.

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9

Rabinovich, B. I. Vortex processes and solid body dynamics: The dynamic problems of spacecrafts and magnetic levitation systems. Kluwer Academic, 1994.

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US-Japan, Workshop on Advanced Plasma Modeling (1985 Nagoya-shi Japan). Proceedings of the US-Japan Workshop on Advanced Plasma Modeling: September 24-27, 1985, Nagoya, Japan. Institute of Plasma Physics, Nagoya University, 1987.

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Book chapters on the topic "Magnetohydrodynamics – Mathematical models"

1

Oleinik, O. A., and V. N. Samokhin. "Boundary Layer in Magnetohydrodynamics." In Mathematical Models in Boundary Layer Theory. Routledge, 2018. http://dx.doi.org/10.1201/9780203749364-9.

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Gerbeau, Jean-Frédéric, Claude Le Bris, and Tony Lelièvre. "MHD MODELS FOR ONE INDUSTRIAL APPLICATION." In Mathematical Methods for the Magnetohydrodynamics of Liquid Metals. Oxford University Press, 2006. http://dx.doi.org/10.1093/acprof:oso/9780198566656.003.0006.

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Chemin, Jean-Yves, Benoit Desjardins, Isabelle Gallagher, and Emmanuel Grenier. "Other Systems." In Mathematical Geophysics. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198571339.003.0017.

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The methods developed in this book can be applied to various physical systems. We will not detail all the possible applications and will only quote three systems arising in magnetohydrodynamics (MHD) and meteorology, namely conducting fluids in a strong external “large scale” magnetic field, a classical MHD system with high rotation, and the quasigeostrophic limit. The main theorems of this book can be extended to these situations. The theory of rotating fluids is very close to the theory of conducting fluids in a strong magnetic field. Namely the Lorenz force and the Coriolis force have almost the same form, up to Ohm’s law. The common feature is that these phenomena appear as singular perturbation skew-symmetric operators. The simplest equations in MHD are Navier–Stokes equations coupled with Ohm’s law and the Lorenz force where ∇φ is the electric field, j the current, and e the direction of the imposed magnetic field. In this case ε is called the Hartmann number. In physical situations, like the geodynamo (study of the magnetic field of the Earth), it is really small, of order 10−5–10−10, much smaller than the Rossby number. These equations are the simplest model in geomagnetism and in particular in the geodynamo. As ε→0 the flow tends to become independent of x3. This is not valid near boundaries. For horizontal boundaries, Hartmann layers play the role of Ekman layers and in the layer the velocity is given by The critical Reynolds number for linear instability is very high, of order Rec ∼ 104. The main reason is that there is no inflexion point in the boundary layer profile (10.1.2), therefore it is harder to destabilize than the Ekman layer since the Hartmann profile is linearly stable for the inviscid model associated with (10.1.1). As for Ekman layers, Hartmann layers are stable for Re<Rec and unstable for Re>Rec. There is also something similar to Ekman pumping, which is responsible for friction and energy dissipation. Vertical layers are simpler than for rotating fluids since there is only one layer, of size (εν)1/4. We refer to for physical studies.

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Conference papers on the topic "Magnetohydrodynamics – Mathematical models"

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Kien, Le Chi. "Proposal of a mathematical model to control the flow rate applying the Magnetohydrodynamic effect." In 2012 International Conference on Control, Automation and Information Sciences (ICCAIS). IEEE, 2012. http://dx.doi.org/10.1109/iccais.2012.6466619.

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Gómez, Juan R., and Juan P. Escandón. "Combined Magnetohydrodynamic/Pressure Driven Flow of Multi-Layer Pseudoplastic Fluids Through a Parallel Flat Plates Microchannel." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86676.

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With the advance of microfluidic platforms and due to the need to solve different implications that still exist on the transport of electrically conducting fluids, the analysis on strategies in micropumps that involve a simplicity in its structure, absence of mechanical moving parts, flow reversibility and low power requirement is current. Therefore, the present investigation contributes with the analysis of the combined magnetohydrodynamic/pressure driven flow of multilayer immiscible fluids in a microchannel formed by two parallel flat plates. The mathematical model is based in a steady full

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