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1
Content available Comparative analysis of buckling load of circular and corrugated tubes by utilizing key performance indicators
Rahim M. R., Akhtar S., Bharti P. K.
International Journal of Applied Mechanics and Engineering
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2017
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Vol. 22, no. 3
789--797
EN
The performance of buckling load of tubular structures under quasi-static axial loading is quite appreciable, numerous tubes of various cross-section have been extensively investigated and corrugated sections have been designed to further improve the performance. In this paper, a carefully designed set of key performance indicators (KPIs) is utilized to assess and compare the buckling load of circular and corrugated tubes. A series of diagrams related to KPIs with various parameters of tubes are presented to demonstrate the influence of sectional configuration on the performance of tubes as well as the effect of the material on the potential of the same. The work is inestimable to engineering designs and applications, and further studies on the buckling load of other configurations.
2
Content available Global stability for thermal convection in a couple-stress fluid with temperature and pressure dependent viscosity
Choudhary S. S., Bharti P. K.
Studia Geotechnica et Mechanica
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2013
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Vol. 35, nr 3
85--102
EN
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.
3
Content available remote Global stability for thermal convection in a couple-stress fluid saturating a porous medium with temperature and pressure dependent viscosity
Sunil, Chodhary S., Bharti P. K.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 2
583-602
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 instability theory has captured completely the physics of the onset of convection. Then the effect of couple stress parameter, variable dependent viscosity and Darcy-Brinkman number on the onset of convection are also analyzed.
4
Content available remote Thermal convection in a ferromagnetic fluid saturating a porous medium
Sunil, Bharti P.K., Sharma D.
Studia Geotechnica et Mechanica
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2007
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Vol. 29, nr 3-4
3-18
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 using a linear stability analysis theory and normal mode analysis method. In the case of stationary convection, the medium permeability and non-buoyancy magnetization both have a destabilizing effect on the system. The critical wave number and the critical magnetic thermal Rayleigh number for the on set of instability are also determined numerically for sufficiently large values of buoyancy magnetization parameter M1 and the results are depicted graphically. The principle of the exchange of stabilities is found to hold true for the ferromagnetic fluid heated from below saturating a porous medium.
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, wykorzystując teorię liniowej stateczności i metodę trybu zwykłego. W przypadku ustalonej konwekcji zarówno przepuszczalność ośrodka, jak i niepowietrzna magnetyzacja wpływają destabilizująco na układ. Krytyczna liczba falowa i krytyczna magnetyczno-termiczna liczba Rayleigha na początku utraty stabilności są wyznaczone numerycznie dla wystarczająco dużych wartości parametru powietrznej magnetyzacji, a otrzymane wyniki zostały przedstawione graficznie. Stwierdzono, że zasada wymiany stabilności może być stosowana do cieczy ferromagnetycznej ogrzewanej od spodu i wysycającej ośrodek porowaty.
5
Content available remote Thermosolutal instability of compressible Rivlin-Ericksen fluid with Hall currents
Sunil, Sharma Y. D., Bharti P. K., Sharma R. C.
International Journal of Applied Mechanics and Engineering
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2005
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Vol. 10, no 2
329-343
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 fluid behaves like a Newtonian viscous fluid. The Hall currents found to hasten the onset of thermosolutal instability whereas the compressibility, stable solute gradient and magnetic field postpone the onset of thermosolutal instability. Also, the dispersion relation is analyzed numerically and results are depicted graphically. The stable solute gradient and magnetic field (and corresponding Hall currents) introduce oscillatory modes in the system, which were nonexistent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.
6
Content available remote The effect of rotation on thermosolutal convection in a ferromagnetic fluid
Sunil, Bharti P. K., Sharma D., Sharma R. C.
International Journal of Applied Mechanics and Engineering
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2005
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Vol. 10, no 4
713-730
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 two free boundaries. For the case of stationary convection, non-buoyancy magnetization has a destabilizing effect on the system, whereas the stable solute gradient and rotation have a stabilizing effect on the system for lower vaIues of buoyancy magnetization M 1 . The critical magnetic thermal Rayleigh number for the onset of instabiIity is also determined numerically for large vaIues of buoyancy magnetization M 1 and results are depicted graphically. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid heated from below in the absence of a stabIe solute gradient and rotation. The oscillatory modes are introduced due to the presence of the stabIe solute gradient and rotation, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.
7
Content available remote Thermosolutal convection in ferromagnetic fluid
Sunil, Bharti P. K., Sharma R. C.
Archives of Mechanics
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2004
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Vol. 56, nr 2
117-135
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 convection, magnetization has a destabilizing effect, whereas stable solute gradient has a stabilizing effect on the onset of instability. Graphs have been plotted by giving numerical values to various parameters, to depict the stability characteristics. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid heated from below in porous medium in the absence of stable solute gradient. The oscillatory modes are introduced due to the presence of the stable solute gradient, which were non-existent in its absence. A sufficient condition for non-existence of the overstability is also obtained.
8
Content available remote On Bénard convection in a porous medium in the presence of throughflow and rotation in hydromagnetics
Sunil, Bharti P. K., Sharma R. C.
Archives of Mechanics
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2003
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Vol. 55, nr 3
257-274
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 the magnetic field and the throughflow have always a stabilizing effects in the absence of rotation. But in the presence of rotation, the medium permeability is found to have a destabilizing effect whereas the magnetic field and the throughflow have a stabilizing effects under certain conditions. Graphs have been plotted by giving numerical values to the parameters, to depict the stability characteristics. The magnetic field and rotation introduce oscillatory modes in the system, which were nonexistent in their absence. The sufficient conditions for non-existence of the overstability are also obtained.
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