On 2+1-dimensional fibre-reinforced fluid motions: a magnetohydrodynamics nexus

On 2+1-dimensional fibre-reinforced fluid motions: a magnetohydrodynamics nexus

An intrinsic geometric decomposition is applied to provide via a canonical third-order nonlinear equation a connection between 2+1-dimensional fibre-reinforced motions of a fluid and a magnetohydrodynamic system. A Lagrange-type parametrisation is introduced, whereby both geometric and algebraic pro...

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Veröffentlicht in:Acta mechanica 2022-10, Vol.233 (10), p.4047-4062
Hauptverfasser: Demskoi, Dmitry K., Rogers, Colin, Schief, Wolfgang K.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Approximation
Classical and Continuum Physics
Control
Dynamical Systems
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Fiber reinforced materials
Fluid dynamics
Fluid flow
Fluid mechanics
Heat and Mass Transfer
Kinematics
Magnetic properties
Magnetohydrodynamics
Nonlinear equations
Original Paper
Parameterization
Partial differential equations
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
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Beschreibung
Zusammenfassung:An intrinsic geometric decomposition is applied to provide via a canonical third-order nonlinear equation a connection between 2+1-dimensional fibre-reinforced motions of a fluid and a magnetohydrodynamic system. A Lagrange-type parametrisation is introduced, whereby both geometric and algebraic properties of certain non-steady magnetohydrodynamic motions may be established.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-022-03303-6