Effect of dust particles on ferrofluid heated and soluted from below

Sunil, .; Sharma, Anu; Sharma, Rajni

doi:10.1016/j.ijthermalsci.2005.06.003

Cited by 31 publications

(8 citation statements)

References 40 publications

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“…Ganguly et al (2004) have characterized the heat transfer augmentation due to the thermomagnetic convection under the influence of a line dipole and correlated it with the properties of the imposed magnetic field. More recently, Sunil et al (2005Sunil et al ( , 2006 have studied thermal convection problems in a ferromagnetic fluid. In the above studies, they assumed that the viscosity is constant and independent of the magnetic field intensity.…”

Section: Introductionmentioning

confidence: 99%

Effect of Magnetic Field–dependent Viscosity on Thermal Convection in a Ferromagnetic Fluid

Sunil

Sharma

et al. 2008

Chemical Engineering Communications

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This article deals with the theoretical investigation of the effect of magnetic fielddependent (MFD) viscosity on a layer of ferromagnetic fluid heated from below subject 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 and normal mode analysis method. For the case of stationary convection, the MFD viscosity has a stabilizing effect, whereas the departure of linearity in the magnetic equation of state has a destabilizing (or stabilizing) effect on the system under certain conditions. The critical wave number and critical magnetic thermal Rayleigh number for the onset of instability are also determined numerically for large values of buoyancy magnetization, and results are depicted graphically. The principle of exchange of stabilities is valid for the ferromagnetic fluid heated from below.

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Section: Introductionmentioning

confidence: 99%

Effect of Magnetic Field–dependent Viscosity on Thermal Convection in a Ferromagnetic Fluid

Sunil

Sharma

et al. 2008

Chemical Engineering Communications

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“…Using the common bound B one obtains from Eqs. (36) and (38) immediately an analogous estimate for vector functions F 0 , if each component satisfies Eq. (37) or (39):…”

Section: Article In Pressmentioning

confidence: 83%

“…It is well known that with the simultaneous presence of salt and temperature gradients, the transport process can be drastically modified from that, due to temperature gradient alone. The double-diffusive convection problems have been studied by many authors [30][31][32][33][34][35][36]. Joseph [32] is the first to use a generalized energy method to incorporate the stabilizing effect of salting below in a nonlinear energy-stability analysis.…”

Section: Introductionmentioning

confidence: 99%

A nonlinear stability analysis of a double-diffusive magnetized ferrofluid with magnetic field-dependent viscosity

Sunil

Mahajan

2009

Journal of Magnetism and Magnetic Materials

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“…Rosensweig [16] has given an authoritative introduction to the research on magnetic liquids in his monograph and the study of the effect of magnetization yields interesting information. The theory of convective instability of ferrofluids begins with Finlayson [17] and interestingly continued by Lalas and Carmi [18], Shliomis [19], Schwab et al [20], Stiles and Kagan [21], Blennerhassett et al [22], Venkatasubramanian and Kaloni [23] and Sunil and co-workers [24,25,26,27]. More recently, Sunil and Mahajan [28] studied the nonlinear stability analysis for magnetized ferrofluid heated from below.…”

Section: Introductionmentioning

confidence: 93%

A nonlinear stability analysis for rotating magnetized ferrofluid heated from below saturating a porous medium

Sunil

Mahajan

2008

Z. angew. Math. Phys.

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A nonlinear (energy) stability analysis is performed for a rotating magnetized ferrofluid layer heated from below saturating a porous medium, in the stress-free boundary case. By introducing a generalized energy functional, a rigorous nonlinear stability result for a thermoconvective rotating magnetized ferrofluid is derived. The mathematical emphasis is on how to control the nonlinear terms caused by magnetic body force. It is found that the nonlinear critical stability magnetic thermal Rayleigh number does not coincide with that of linear instability analysis, and thus indicates that the subcritical instabilities are possible. However, it is noted that, in case of non-ferrofluid, global nonlinear stability Rayleigh number is exactly the same as that for linear instability. For lower values of magnetic parameters, this coincidence is immediately lost. The effect of magnetic parameter, M 3 , medium permeability, D a , and rotation, T A 1 , on subcritical instability region has also been analyzed. It is shown that with the increase of magnetic parameter, M 3 , and Darcy number, D a , the subcritical instability region between the two theories decreases quickly while with the increase of Taylor number, T A 1 , the subcritical region expands. We also demonstrate coupling between the buoyancy and magnetic forces in the presence of rotation in nonlinear energy stability analysis as well as in linear instability analysis.

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Effect of dust particles on ferrofluid heated and soluted from below

Cited by 31 publications

References 40 publications

Effect of Magnetic Field–dependent Viscosity on Thermal Convection in a Ferromagnetic Fluid

Effect of Magnetic Field–dependent Viscosity on Thermal Convection in a Ferromagnetic Fluid

A nonlinear stability analysis of a double-diffusive magnetized ferrofluid with magnetic field-dependent viscosity

A nonlinear stability analysis for rotating magnetized ferrofluid heated from below saturating a porous medium

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