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2001 (1)
2000 (1)
1Author    Mohamed Fahmy, El-SayedRequires cookie*
 Title    Hydromagnetic Instability Conditions for Viscoelastic Non-Newtonian Fluids  
 Abstract    The effect of a horizontal magnetic field and a non-Newtonian stress tensor, as described by the Wal-ters B' model, on the instability of two second order fluids of high kinematic viscosities and viscoelas-ticities is investigated. For the potentially stable configuration, it is found that the system is stable or unstable for a wavenumber range depending on the kinematic viscoelasticity. For the potentially un-stable configuration, it is found that the stability criterion is dependent on orientation and magnitude of the magnetic field which is found to stabilize a certain range of the unstable configuration related to the viscoelasticity values. The behaviour of growth rates with respect to Alfven velocities are examined analytically, and it is found that the magnetic field has a dual role on the instability problem. For the exponentially varying stratifications, the system is found to be stable or unstable for the stable and un-stable stratifications under certain physical conditions, and the growth rates are found to increase or de-crease with increasing the stratification parameter values, according to some restrictions satisfied by the chosen wavenumbers range. 
  Reference    Z. Naturforsch. 55a, 460—466 (2000); received August 31 1999 
  Published    2000 
  Keywords    Hydrodynamic Stability, Non-Newtonian Fluid Flows, Magnetohydrodynamics 
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 TEI-XML for    default:Reihe_A/55/ZNA-2000-55a-0460.pdf 
 Identifier    ZNA-2000-55a-0460 
 Volume    55 
2Author    Mohamed Fahmy, El-SayedRequires cookie*
 Title    Magnetohydrodynamic Stability of Two Streaming Superposed Viscoelastic Conducting Fluids  
 Abstract    The stability o f the plane interface separating two Oldroydian viscoelastic superposed moving fluids of uniform densities when immersed in a uniform horizontal magnetic field has been in­ vestigated. The stability analysis has been carried out, for mathematical simplicity, for two highly viscous fluids o f equal kinematic viscosities. It is found that the potentially stable configuration remains stable if the fluids are at rest, while it becomes unstable if the fluids move. The stability criterion is found to be independent o f the viscosity and viscoelasticity, and to be dependent on the orientation of the magnetic field and the magnitudes of the fluids and Alfven velocities. It is also found that the potentially unstable configuration remains unstable in the absence of average fluid velocities, or in the presence of fluid velocities and absence of a magnetic field. The magnetic field is found to stabilize a certain wavenumbers range o f the unstable configuration even in the presence o f the effects of viscoelasticity. The behaviour of growth rates with respect to the stress relaxation time, strain retardation time, fluid and Alfven velocity parameters is examined analytically, and the stability conditions are obtained and discussed. -Pacs: 47.20.-k; 47.50.+d; 47.65.+a. 
  Reference    Z. Naturforsch. 56a, 416 (2001); received December 13 2000 
  Published    2001 
  Keywords    Hydrodynamic Stability, Non-Newtonian Fluid Flows, Magnetohydrodynamics 
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 TEI-XML for    default:Reihe_A/56/ZNA-2001-56a-0416.pdf 
 Identifier    ZNA-2001-56a-0416 
 Volume    56