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Applied Mechanics and Engineering
EN Transport of vorticity in a magnetic fluid in a porous medium is considered in this note. Equations governing the transport of vorticity in magnetic fluid in a porous medium are obtained from the equations of magnetic fluid flow proposed by Wagh (1996) by replacing the usual viscous term in the equa[...]
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63%
International Journal of Applied Mechanics and Engineering
EN The generalized energy method is developed to study the nonlinear stability analysis for a magnetized ferrofluid layer heated from below with intrinsic rotation of the particles, in the stress-free boundary case. The mathematical emphasis is on how to control the nonlinear terms caused by the magnet[...]
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International Journal of Applied Mechanics and Engineering
2008 Vol. 13, no 4 1059-1078
EN This paper deals with the theoretical investigation of the effect of rotation in a magnetized ferrofluid with internal angular momentum, heated and soluted from below saturating a porous medium and subjected to a transverse uniform magnetic field. For a flat fluid layer contained between two free bo[...]
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Applied Mechanics and Engineering
2000 Vol. 5, no 3 655-671
EN The thermal instability of Walters' (model B') fluid in a porous medium is considered in the presence of a uniform vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the magnetic field has the stabilizing effect on the system, whereas the Hall curr[...]
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Studia Geotechnica et Mechanica
EN We show that the global non-linear stability threshold for convection in a double-diffusive couple-stress fluid saturating a porous medium is exactly the same as the linear instability boundary. The optimal result is important because it shows that linearized instability theory has captured complete[...]
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51%
Archives of Mechanics
EN Combined effect of magnetic field and rotation is considered on the stability of stratified visco-elastic Walters' (Model B') fluid in porous medium. In contrast to the Newtonian fluids, the system is found to be unstable at stable stratification for low values of permeability or high values of kine[...]
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International Journal of Applied Mechanics and Engineering
EN This paper deals with the theoretical investigation of the combined effect of magnetic field dependent (MFD) viscosity and rotation on ferrothermohaline convection in the presence of dust particles subjected to a transverse uniform magnetic field. For a flat fluid layer contained between two free bo[...]
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Studia Geotechnica et Mechanica
PL Teoretycznie badano konwekcję termiczną w warstwie cieczy ferromagnetycznej ogrzewanej od dołu i wysycającej ośrodek porowaty poddany działaniu poprzecznego, jednorodnego pola magnetycznego. Otrzymano dokładne rozwiązanie dla płaskiej warstwy cieczy zawartej między dwoma swobodnymi brzegami, wykorzy[...]
EN This paper deals with the theoretical investigation of the thermal convection on a layer of ferromagnetic fluid heated from below saturating a porous medium subjected to a transverse uniform magnetic field. For a flat fluid layer contained between two free boundaries, an exact solution is obtained u[...]
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51%
Archives of Mechanics
EN The thermosolutal convection in ferromagnetic fluid is considered for a fluid layer heated and soluted from below in the presence of uniform vertical magnetic field. For the case of two free boundaries, an exact solution is obtained using a linear stability analysis. For the case of stationary conve[...]
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Applied Mechanics and Engineering
1998 Vol. 3, no 1 171-180
EN The thermosolutal convection in Rivlin-Ericksen fluid in porous medium is considered in the presence of uniform vertical magnetic field. For the case of stationary convection, the stable solute gradient and magnetic field have stabilizing effects on the system, whereas, the medium permeability has d[...]
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Archives of Mechanics
EN The effect of throughflow on a layer of a rotating fluid heated from below in porous medium in the presence of vertical magnetic field is considered. For the case of stationary convection, the rotation has always a stabilizing effect. The medium permeability has always a destabilizing effect whereas[...]
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Archives of Mechanics
EN The thermosolutal instability of Walters' (model B') fluid in porous medium is considered in the presence of uniform vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the stable solute gradient and magnetic field have stabilizing effects on the sy[...]
13
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Studia Geotechnica et Mechanica
PL W porowatym środowisku badano niestateczność Rayleigha-Taylora dwóch nakładających się, sprężonych naprężeniem płynów o jednorodnych gęstościach. Ze względu na prostotę matematyczną, analizę stateczności przeprowadzono dla dwóch mocno lepkich płynów o jednakowych lepkościach kinematycznych i o sprzę[...]
EN The Rayleigh-Taylor instability of two superposed couple-stress fluids of uniform densities through porous medium is studied. The stability analysis is carried out, for mathematical simplicity, for two highly viscous fluids of equal kinematic viscosities and couple-stress kinematic viscosities. The [...]
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International Journal of Applied Mechanics and Engineering
EN The effcct of rotation on the thermosolutal convection in a ferromagnetic fluid is analyzed for a fluid layer heated and soluted from below in the presence of a uniform magnetic field. Using the linearized stability theory and the normal mode analysis, an exact solution is obtained for the case of t[...]
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International Journal of Applied Mechanics and Engineering
EN The thermosolutal instability of a compressible Rivlin-Ericksen viscoelastic fluid is predicted for a layer heated and soluted from below in the presence of the vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the Rivlin-Ericksen elastico-viscous[...]
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Archives of Mechanics
EN The thermosolutal instability of Walters' (Model B') fluid in porous medium is considered in the presence of uniform vertical rotation. For the case of stationary convection, the stable solute gradient and rotation have stabilizing effects on the system, whereas the medium permeability has a destabi[...]
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51%
Archives of Mechanics
EN A layer of a couple-stress fluid heated from below and permeated with suspended particles is considered. For the case of stationary convection, the couple-stress has a stabilizing effect whereas suspended particles have a destabilizing effect on the couple-stress fluid permeated with suspended parti[...]
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International Journal of Applied Mechanics and Engineering
EN We show that the global nonlinear stability threshold for convection in a couple-stress fluid saturating a porous medium with temperature and pressure dependent viscosity is exactly the same as the linear instability boundary. This optimal result is important because it shows that the linearized ins[...]
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Applied Mechanics and Engineering
2000 Vol. 5, no 4 883-896
EN A layer of a couple-stress fluid heated from below in a porous medium is considered to include the effect of uniform rotation. For the case of stationary convection, the couple stress may hasten the onset of convection in the presence of rotation while in the absence of rotation, it always postpones[...]
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