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    Wyświetlanie 1-8 z 8
    Tytuł:
    Thermal convection in a ferromagnetic fluid layer with magnetic field dependent viscosity: a correction applied
    Autorzy:
    Prakash, J.
    Kumar, R.
    Kumari, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/178325.pdf
    Data publikacji:
    2017
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    ferromagnetic convection
    magnetic field dependent viscosity
    stationary convection
    Rayleigh number
    Opis:
    The effect of magnetic field dependent (MFD) viscosity on thermal convection in a horizontal ferromagnetic fluid layer has been investigated numerically. A correction is applied to Sunil et al. [24] which is very important in order to predict the correct behavior of MFD viscosity. Linear stability analysis has been carried out for stationary convection. The MFD viscosity parameter δ as well as the measure of nonlinearity of magnetization M3, both have a stabilizing effect on the system. Numerical results are also obtained for large values of magnetic parameter M1 and predicted graphically.
    Źródło:
    Studia Geotechnica et Mechanica; 2017, 39, 3; 39-46
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Global stability for thermal convection in a couple-stress fluid with temperature and pressure dependent viscosity
    Autorzy:
    Choudhary, S. S.
    Bharti, P. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/178230.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    konwekcja
    konwekcja cieplna
    stabilność
    płyn nieniutonowski
    convection
    thermal convection
    stability
    non-Newtonian fluid
    Opis:
    We show that the global nonlinear stability threshold for convection in a couple-stress fluid with temperature and pressure dependent viscosity is exactly the same as the linear instability boundary. This optimal result is important because it shows that linearized instability theory has captured completely the physics of the onset of convection. It has also been found that the couplestress fluid is more stable than the ordinary viscous fluid and then the effect of couple-stress parameter (F) and variable dependent viscosity (Γ) on the onset of convection is also analyzed.
    Źródło:
    Studia Geotechnica et Mechanica; 2013, 35, 3; 85-102
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Upper Bounds for the Complex Growth Rate of a Disturbance in Ferrothermohaline Convection
    Autorzy:
    Ram, Kaka
    Prakash, Jyoti
    Kumari, Kultaran
    Kumar, Pankaj
    Powiązania:
    https://bibliotekanauki.pl/articles/2086773.pdf
    Data publikacji:
    2022
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    linear stability
    ferrofluid
    oscillatory motions
    ferrothermohaline convection
    Opis:
    It is proved analytically that the complex growth rate σ= σr+iσi (σr and σi are the real and imaginary parts of σ, respectively) of an arbitrary oscillatory motion of neutral or growing amplitude in ferrothermohaline convection in a ferrofluid layer for the case of free boundaries is located inside a semicircle in the right half of the σrσi-plane, whose center is at the origin (formula) where Rs is the concentration Rayleigh number, Pr′ is the solutal Prandtl number, M1′ is the ratio of magnetic flux due to concentration fluctuation to the gravitational force, and M5 is the ratio of concentration effect on magnetic field to pyromagnetic coefficient. Further, bounds for the case of rigid boundaries are also derived separately.
    Źródło:
    Studia Geotechnica et Mechanica; 2022, 44, 2; 114--122
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Penetrative convection due to absorption of radiation in a magnetic nanofluid saturated porous layer
    Autorzy:
    Mahajan, Amit
    Sharma, Mahesh Kumar
    Powiązania:
    https://bibliotekanauki.pl/articles/178577.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    magnetic nanofluids
    penetrative convection
    Darcy model
    radiation absorption
    magnetic field
    Opis:
    The present study investigates the onset of penetrative convection induced by selective absorption of radiation in a magnetic nanofluid saturated porous medium. The influence of Brownian motion, thermophoresis, and magnetophoresis on magnetic nanofluid treatment is taken into consideration. The Darcy’s model is selected for the porous medium. We conduct a linear stability analysis to examine the onset of instability and evaluate the results for two different configurations, namely, when the layer is heated from below and when the layer is heated from above. The numerical investigations are carried out by applying the Chebyshev pseudospectral method. The effect of the porosity parameter E, parameter Y (represents the ratio of internal heating to boundary heating), Lewis number Le, concentration Rayleigh number Rn, Langevin parameter αL, width of nanofluid layer d, diffusivity ratio η, and modified diffusivity ratio NA is examined at the onset of convection. The results indicate that the convection commences easily with an increase in the value of Y, Le, and NA but opposite in the case with a decrease in the value of E, αL, η and d for both the two configurations. The parameter Rn advances the onset of convection when the layer is heated from below, while delays the onset of convection when the layer is heated from above.
    Źródło:
    Studia Geotechnica et Mechanica; 2019, 41, 3; 129-142
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Triple-diffusive convection in Walters' (Model B') fluid with varying gravity field saturating a porous medium
    Autorzy:
    Kango, S. K.
    Rana, G. C.
    Chand, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/178886.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    lepkosprężyste ciecze Walters B
    ciecz Waltersa
    ośrodek porowaty
    konwekcja
    Walters' (model B') fluid
    Walters' B liquid model
    Walters' B' fluid
    porous media
    convection
    Opis:
    The Triple-Diffusive convection in Walters’ (Model B') fluid with varying gravity field is considered in the presence of uniform vertical magnetic field in porous medium. For the case of stationary convection, the magnetic field, varying gravity field and the stable solute gradients have stabilizing effects whereas the medium permeability has destabilizing (or stabilizing) effect on the system under certain conditions. A linear stability analysis theory and normal mode analysis method have been carried out to study the onset convection. The kinematic viscoelasticity has no effect on the stationary convection. The solute gradients, magnetic field, varying gravity field, porosity and kinematic viscoelasticity introduce oscillatory modes in the system, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained. The results are also shown graphically.
    Źródło:
    Studia Geotechnica et Mechanica; 2013, 35, 3; 45-56
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Global stability for double-diffusive convection in a couple-stress fluid saturating a porous medium
    Autorzy:
    Choudhary, Shalu
    -, Sunil
    Powiązania:
    https://bibliotekanauki.pl/articles/949858.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    couple-stress parameter
    solute gradient
    Brinkman number
    Opis:
    We show that the global non-linear stability threshold for convection in a double-diffusive couplestress 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 completely the physics of the onset of convection. It is also found that couple-stress fluid saturating a porous medium is thermally more stable than the ordinary viscous fluid, and the effects of couple-stress parameter (F ) , solute gradient (S f ) and Brinkman number (Da ) on the onset of convection is also analyzed.
    Źródło:
    Studia Geotechnica et Mechanica; 2019, 41, 1; 13-20
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Magneto-rotatory compressible couple-stress fluid heated from below in porous medium
    Autorzy:
    Mehta, C. B.
    Powiązania:
    https://bibliotekanauki.pl/articles/178540.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    compressible couple-stress fluid
    thermal convection
    porous medium
    rotation
    magnetic field
    Opis:
    The study is aimed at analysing thermal convection in a compressible couple stress fluid in a porous medium in the presence of rotation and magnetic field. After linearizing the relevant equations, the perturbation equations are analysed in terms of normal modes. A dispersion relation governing the effects of rotation, magnetic field, couple stress parameter and medium permeability have been examined. For a stationary convection, the rotation postpones the onset of convection in a couple stress fluid heated from below in a porous medium in the presence of a magnetic field. Whereas, the magnetic field and couple stress postpones and hastens the onset of convection in the presence of rotation and the medium permeability hastens and postpones the onset of convection with conditions on Taylor number. Further the oscillatory modes are introduced due to the presence of rotation and the magnetic field which were non-existent in their absence, and hence the principle of exchange stands valid. The sufficient conditions for nonexistence of over stability are also obtained.
    Źródło:
    Studia Geotechnica et Mechanica; 2016, 38, 1; 55-63
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the onset of thermal convection in a layer of Oldroydian visco-elastic fluid saturated by Brinkman–Darcy porous medium
    Autorzy:
    Chand, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/178803.pdf
    Data publikacji:
    2015
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    thermal instability
    Oldroydian viscoelastic fluid
    Brinkman–Darcy number
    Prandtl–Darcy number
    Opis:
    Thermal instability in a horizontal layer of Oldroydian visco-elastic fluid in a porous medium is investigated. For porous medium the Brinkman–Darcy model is considered. A linear stability analysis based upon perturbation method and normal mode technique is used to find solution of the fluid layer confined between two free-free boundaries. The onset criterion for stationary and oscillatory convection is derived analytically. The influence of the Brinkman–Darcy, Prandtl–Darcy number, stress relaxation parameter on the stationary and oscillatory convection is studied both analytically and graphically. The sufficient condition for the validity of PES has also been derived.
    Źródło:
    Studia Geotechnica et Mechanica; 2015, 37, 4; 3-10
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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