A theoretical study of enhanced heat transfer in nanoliquids with volumetric heat source

Meenakshi, N.; Siddheshwar, P. G.

doi:10.1007/s12190-017-1129-9

Cited by 13 publications

(2 citation statements)

References 69 publications

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“…The obtained expression is the same as the expression obtained by Siddheshwar and Sakshath (2021). • The expression for the thermal Rayleigh number derived by Meenakshi and Siddheshwar (2018) for Bénard convection using the single-phase model in the presence of a heat sink/source can also be obtained by considering a non-rotating, non-porous medium in the absence of nanotube concentration (Ta = 0, Λ = 1, Rs = 0). In this case, equation ( 35) reduces to:…”

Section: Deductions and Validationsmentioning

confidence: 65%

The linear and non-linear study of effect of rotation and internal heat source/sink on Bénard convection

2023

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The main objective of this study is to examine non-linear Bénard convection in a single-walled carbon nanotube suspension saturated in a rotating porous medium with an internal heat sink/source. The modified Buongiorno model is utilized to formulate the governing equations for the flow. Both linear and weak non-linear stability analyses are conducted in this investigation. The linear stability analysis employs the truncated Fourier series transformation, while the weakly non-linear stability analysis utilizes the Lorenz model, assuming weak thermophoresis, porous friction, and small-scale convective motion. The cubic Ginzburg-Landau equation is derived and further solved to obtain the amplitude expression. The influence of various parameters, such as the Taylor number, heat sink/source parameter, and viscosity parameter, is discussed in relation to the threshold criteria of convection, as well as heat and mass transport rates. Based on the linear stability analysis, it is concluded that the rotating frame of reference delays the onset of convection, while the energy supply to the system advances the onset of convection. The heat transfer rate increases by $22\%$ when the nanofluidic system is placed in the rotating frame of reference under the presence of an internal heat source.

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Section: Deductions and Validationsmentioning

confidence: 65%

The linear and non-linear study of effect of rotation and internal heat source/sink on Bénard convection

2023

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“…In fact, due to the extremely small size and low concentration of the suspended nanoparticles, the particles are assumed to move with same velocity as the liquid. A good number of papers have appeared on convection in nanoliquids using the single-phase model (Ghasemi and Aminossadati [18], Jou and Tzeng [21], Abu-Nada et al [1], Tiwari and Das [49], Sheremet et al [35], Siddheshwar and Meenakshi [42], Meenakshi and Siddheshwar [29], Siddheshwar and Veena [44] and Kanchana et al [23]). Buongiorno [11] showed that there are several factors such as gravity, friction between the liquid and solid particles, Brownian forces, sedimentation and dispersion that may affect a nanoliquid flow.…”

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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Study of Brinkman–Bènard nanofluid convection with idealistic and realistic boundary conditions and by considering the effects of shape of nanoparticles

Siddheshwar

Veena

2021

Heat Trans

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This study deals with linear and weakly non‐linear stability analyses of Brinkman–Bènard convection in nanoliquid‐saturated porous enclosures. Water with a dilute concentration of molybdenum disulfide nanoparticles with 0.06 volume fraction and 30% glass fiber‐reinforced polycarbonate as a porous medium with porosity 0.88 are considered to be a working medium. The analytical solution is obtained in the present study for idealistic and realistic boundary conditions, and their results are compared. An analytically intractable Lorenz model with quadratic nonlinearities is reduced to a tractable Ginzburg–Landau amplitude equation with cubic nonlinearity using the multiscale method. Nanoparticles with different shapes are considered in the study, and their effects on the onset and heat transfer are discussed in great detail graphically in the presence of other parameters arising in the problem.

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A theoretical study of enhanced heat transfer in nanoliquids with volumetric heat source

Cited by 13 publications

References 69 publications

The linear and non-linear study of effect of rotation and internal heat source/sink on Bénard convection

The linear and non-linear study of effect of rotation and internal heat source/sink on Bénard convection

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

Study of Brinkman–Bènard nanofluid convection with idealistic and realistic boundary conditions and by considering the effects of shape of nanoparticles

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