Rayleigh‐Benard convection in a dielectric liquid: time‐periodic body force

Siddheshwar, P. G.; Abraham, Annama

doi:10.1002/pamm.200701081

Cited by 18 publications

(12 citation statements)

References 3 publications

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“…Wheeler et al [56] used the averaging method and the Floquet theory to analyze the stability of directional solidification problem under high-frequency gravity modulation. There are many other works that deal with gravity modulation effect on convection in different liquids (see Malashetty and Padmavathi [28], Bhadauria [6], Boulal et al [9], Shu et al [37], Siddheshwar [38], Siddheshwar et al [45], Siddheshwar and Abraham [39], Siddheshwar et al [46] and Siddheshwar and Revathi [43]).…”

Section: Introductionmentioning

confidence: 99%

Effect of trigonometric sine, square and triangular wave-type time-periodic gravity-aligned oscillations on Rayleigh–Bénard convection in Newtonian liquids and Newtonian nanoliquids

Siddheshwar

Kanchana

2019

Meccanica

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The influence of trigonometric sine, square and triangular wave-types of time-periodic gravity-aligned oscillations on Rayleigh-Bénard convection in Newtonian liquids and in Newtonian nanoliquids is studied in the paper using the generalized Buongiorno two-phase model. The five-mode Lorenz model is derived under the assumptions of Boussinesq approximation, small-scale convective motion and some slip mechanisms. Using the method of multiscales, the Lorenz model is transformed to a Ginzburg-Landau equation the solution of which helps in quantifying the heat transport through the Nusselt number. Enhancement of heat transport in Newtonian liquids due to the presence of nanoparticles/nanotubes is clearly explained. The study reveals that all the three wave types of gravity modulation delay the onset of convection and thereby to a diminishment of heat transport. It is also found that in the case of trigonometric sine type of gravity modulation heat transport is intermediate to that of the cases of triangular and square types. The paper is the first such work that attempts to theoretically explain the effect of three different wave-types of gravity modulation on onset of convection and heat transport in the presence/absence of nanoparticles/nanotubes. Comparing the heat transport by the single-phase and by the generalized two-phase models, the conclusion is that the single-phase model under-predicts heat transport in nanoliquids irrespective of the type of gravity modulation being effected on the system. The results of the present study reiterate the findings of related experimental and numerical studies.The original article has been corrected due to typesetting mistakes made in section 2.2 Mathematical Formulation, Table 1 and in Equation ( 51).

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Section: Introductionmentioning

confidence: 99%

Effect of trigonometric sine, square and triangular wave-type time-periodic gravity-aligned oscillations on Rayleigh–Bénard convection in Newtonian liquids and Newtonian nanoliquids

Siddheshwar

Kanchana

2019

Meccanica

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“…The thermal convection in a magnetic fluid has been considered by Zebib [10], whereas the stability of a static magnetic fluid under the action of an external pressure drop has been studied by Polevikov [11]. Thermal convection in ferromagnetic fluids has been considered by many authors [12][13][14][15][16][17][18][19][20][21][22]. The effect of rotation on a layer of a ferromagnetic fluid has been investigated by Gupta and Gupta [23].…”

Section: Introductionmentioning

confidence: 99%

Effect of dust particles on a rotating ferromagnetic fluid heated from below saturating a porous medium

Sunil

Divya

Sharma

2005

Journal of Colloid and Interface Science

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“…Siddheshwar and Abraham (2009) discussed the thermal instability in a layer of dielectric fluid when the boundaries of the layer are subjected to synchronous/asynchronous time-periodic temperatures. Yoshikawa et al (2013) investigated the thermal convection in a dielectric fluid layer between two parallel plates under microgravity situation with an alternating electric field and a temperature gradient.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo law under the effect of internal heat generation/consumption

Keerthi

Mahanthesh

Nagouda

2020

MMMS

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PurposeThe study of instability due to the effects of Maxwell–Cattaneo law and internal heat source/sink on Casson dielectric fluid horizontal layer is an open question. Therefore, in this paper, the impact of internal heat generation/absorption on Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo heat flux is investigated. The horizontal layer of the fluid is cooled from the upper boundary, while an isothermal boundary condition is utilized at the lower boundary.Design/methodology/approachThe Casson fluid model is utilized to characterize the non-Newtonian fluid behavior. The horizontal layer of the fluid is cooled from the upper boundary, while an isothermal boundary condition is utilized at the lower boundary. The governing equations are non-dimensionalized using appropriate dimensionless variables and the subsequent equations are solved for the critical Rayleigh number using the normal mode technique (NMT).FindingsResults are presented for two different cases namely dielectric Newtonian fluid (DNF) and dielectric non-Newtonian Casson fluid (DNCF). The effects of Cattaneo number, Casson fluid parameter, heat source/sink parameter on critical Rayleigh number and wavenumber are analyzed in detail. It is found that the value Rayleigh number for non-Newtonian fluid is higher than that of Newtonian fluid; also the heat source aspect decreases the magnitude of the Rayleigh number.Originality/valueThe effect of Maxwell–Cattaneo heat flux and internal heat source/sink on Rayleigh-Bénard convection in Casson dielectric fluid is investigated for the first time.

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Rayleigh‐Benard convection in a dielectric liquid: time‐periodic body force

Cited by 18 publications

References 3 publications

Effect of trigonometric sine, square and triangular wave-type time-periodic gravity-aligned oscillations on Rayleigh–Bénard convection in Newtonian liquids and Newtonian nanoliquids

Effect of trigonometric sine, square and triangular wave-type time-periodic gravity-aligned oscillations on Rayleigh–Bénard convection in Newtonian liquids and Newtonian nanoliquids

Effect of dust particles on a rotating ferromagnetic fluid heated from below saturating a porous medium

Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo law under the effect of internal heat generation/consumption

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