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332
Fluid Helicity and Dynamo Bifurcations
 Phys. Lett. A
"... The bifurcation behaviour of the 3D magnetohydrodynamic equations has been studied for external forcings of varying degree of helicity. With increasing strength of the forcing a primary nonmagnetic steady state loses stability to a magnetic periodic state if the helicity exceeds a threshold value a ..."
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Cited by 1 (1 self)
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The bifurcation behaviour of the 3D magnetohydrodynamic equations has been studied for external forcings of varying degree of helicity. With increasing strength of the forcing a primary nonmagnetic steady state loses stability to a magnetic periodic state if the helicity exceeds a threshold value
Fluid helicity and dynamo effect
"... Using the incompressible magnetohydrodynamic equations, we have numerically studied the dynamo effect in electrically conducting fluids. The necessary energy input into the system was modeled either by an explicit forcing term in the NavierStokes equation or fully selfconsistently by thermal convec ..."
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Using the incompressible magnetohydrodynamic equations, we have numerically studied the dynamo effect in electrically conducting fluids. The necessary energy input into the system was modeled either by an explicit forcing term in the NavierStokes equation or fully selfconsistently by thermal
Hasimoto Transformation and Vortex Soliton Motion Driven by Fluid Helicity
, 2004
"... Vorticity filament motions with respect to the Dirac bracket of Rasetti and Regge [1975] are known to be related to the nonlinear Schrödinger equation by the Hasimoto transformation (HT), when the Hamiltonian is the Local Induction Approximation (LIA) of the kinetic energy. We show that when the Ham ..."
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the Hamiltonian is the LIA of Eulerfluid helicity ∫ u·curlu, the vorticity filament equation of motion under the RasettiRegge Dirac bracket is mapped by HT to the integrable complex modified Kortewegde Vries (cmKdV) equation, the second
Hasimoto Transformation and Vortex Soliton Motion Driven by Fluid Helicity
, 2004
"... Vorticity filament motions with respect to the Dirac bracket of Rasetti and Regge [1975] are known to be related to the nonlinear Schrödinger equation by the Hasimoto transformation (HT), when the Hamiltonian is the Local Induction Approximation (LIA) of the kinetic energy. We show that when the Ham ..."
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the Hamiltonian is the LIA of Eulerfluid helicity ∫ u · curl u, the vorticity filament equation of motion under the RasettiRegge Dirac bracket is mapped by HT to the integrable complex modified Kortewegde Vries (cmKdV) equation, the
Magnetic Helicity Conservation and Astrophysical Dynamos
 Astrophys. J
"... We construct a magnetic helicity conserving dynamo theory which incorporates a calculated magnetic helicity current. In this model the fluid helicity plays a small role in large scale magnetic field generation. Instead, the dynamo process is dominated by a new quantity, derived from asymmetries in t ..."
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Cited by 15 (0 self)
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We construct a magnetic helicity conserving dynamo theory which incorporates a calculated magnetic helicity current. In this model the fluid helicity plays a small role in large scale magnetic field generation. Instead, the dynamo process is dominated by a new quantity, derived from asymmetries
Exact Solution of Some Helical Flows of Newtonian Fluids
"... Abstract—This paper deals with the helical flow of a Newtonian fluid in an infinite circular cylinder, due to both longitudinal and rotational shear stress. The velocity field and the resulting shear stress are determined by means of the Laplace and finite Hankel transforms and satisfy all imposed i ..."
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Abstract—This paper deals with the helical flow of a Newtonian fluid in an infinite circular cylinder, due to both longitudinal and rotational shear stress. The velocity field and the resulting shear stress are determined by means of the Laplace and finite Hankel transforms and satisfy all imposed
Analysis of thirdgrade fluid in helical screw rheometer
 Article ID 620238
"... The steady flow of an incompressible, thirdgrade fluid in helical screw rheometer (HSR) is studied by "unwrapping or flattening" the channel, lands, and the outside rotating barrel. The geometry is approximated as a shallow infinite channel, by assuming that the width of the channel is l ..."
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The steady flow of an incompressible, thirdgrade fluid in helical screw rheometer (HSR) is studied by "unwrapping or flattening" the channel, lands, and the outside rotating barrel. The geometry is approximated as a shallow infinite channel, by assuming that the width of the channel
TURBULENT DYNAMOS DRIVEN BY THE MAGNETIC HELICITY FLUX by
, 2010
"... The problem of origin and maintenance of cosmic magnetic fields is a longstanding one. In this thesis we present results obtained by author in the field of magnetic dynamos. Using the incompressible MHD framework and direct numerical simulations, we contributed to answer the following questions: – w ..."
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Cited by 1 (0 self)
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, producing either dynamo or antidynamo by choosing particular forcing for the SS turbulence. This dynamo does not require a continuous injection of fluid helicity of particular sign to exist. We suppose the LS dyna
On the Inverse Cascade of Magnetic Helicity
 ApJ
, 2006
"... We study the inverse cascade of magnetic helicity in conducting fluids, as pertinent to the generation and dynamics of magnetic fields as observed, e.g., in the solar corona, by investigating the detailed transfer of helicity between different spherical shells in Fourier space in direct numerical si ..."
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Cited by 5 (2 self)
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We study the inverse cascade of magnetic helicity in conducting fluids, as pertinent to the generation and dynamics of magnetic fields as observed, e.g., in the solar corona, by investigating the detailed transfer of helicity between different spherical shells in Fourier space in direct numerical
Results 1  10
of
332