Convective instabilities in binary mixture 3He-4He in porous media

Rameshwar, Y.; Srinivas, G.; Laroze, David; Sayeed, M.A. Rawoof; Rani, H. P.

doi:10.1016/j.cjph.2022.03.010

Cited by 4 publications

(2 citation statements)

References 29 publications

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“…Hence, the nonlinear terms are smaller when compared to linear terms. The nonlinear contributions are neglected from Equation (18). We obtain a linear differential equation which is given as LW = 0.…”

Section: Linear Stability Analysismentioning

confidence: 99%

“…Linear and nonlinear properties of thermohaline convection at the onset with the stress-free boundary conditions were investigated using perturbation analysis relevant to oceanic water and groundwater by Rawoof Sayeed and Rameshwar [17]. The stationary and oscillatory finite amplitude convections of a binary mixture with a porous medium were thoroughly investigated by Rameshwar et al, [18,19]. Baklouti et.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Analysis of Cross Rolls of Electrically Conducting Fluid under an Applied Magnetic Field with Rotation

et al. 2023

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The proposed planer layer dynamo physical model has real-world applications, especially in the Earth’s liquid core. Thus, in this paper, an attempt is made to understand the finite amplitude convection when there exists a coupling between the Lorentz force and the Coriolis force. In particular, the effect of a horizontally applied magnetic field is studied on the Rayleigh–Bénard convection (RBC) that contains the electrically conducting fluid and rotates about its vertical axis. Free–free boundary conditions are assumed on the geometry. Attention is focused on the nonlinear convective flow behavior during the occurrence of cross rolls which are perpendicular to the applied magnetic field and parallel to the rotation axis. The visualization of cross rolls is achieved using the Fourier analysis of perturbations up to the O(ε8). The relationship of the Nusselt number (Nu) with respect to the Rayleigh number (R), the Ekman number (E), and the Elsasser number (Λ) is investigated. It is observed that E generates a strong damping effect on the flow velocity and on the heat transfer at high rotation rates. Using the heatline concept, it is observed that the temperature within the central regime is enhanced as the Λ increases. The results show that either E decreases or Λ increases, then the heat transfer rate increases.

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Section: Linear Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear Analysis of Cross Rolls of Electrically Conducting Fluid under an Applied Magnetic Field with Rotation

et al. 2023

Self Cite

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Slip boundary conditions effect on bidispersive convection with local thermal non-equilibrium: Significant findings

Harfash,

Al-Juaifri,

Ghafil

et al. 2024

Chinese Journal of Physics

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Finite Amplitude Cellular Thermohaline Convection

Sayeed

Rameshwar

2022

Journal of Heat Transfer

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In this paper, linear and weakly nonlinear properties of thermohaline convection at the onset with the stress-free boundary conditions are investigated using perturbation analysis relevant to oceanic water and ground water. The proposed method yields finite amplitude steady solutions by means of successive approximations. The rate of heat transfer is studied up to sixth order using an expansion of thermal Rayleigh number (Ra1) as proposed by Kuo [1]. The heat transfer rate of the system depends on Lewis number, thermal Prandtl number and thermal (Ra1) as well as solutal (Ra2) Rayleigh number. The result for the heat transport (N) in the system fits a power law of exponent of 0.288, i.e., N ~ (Ra1/Ra1o) 0.288 for Ra2 = 0, Pr = 10 and Ra1 > 4 Ra1o. This power law of exponent value of 0.288 is close to the results (0.25) obtained by Kuo [1961], and also to the experimental results for laminar convection by Jakob [1949]. The characteristics of heat transfer and flow field results are depicted by means of isotherms and streamlines, respectively. The path of convective heat transport and the comprehensive analysis of energy distribution by means of heatlines are explained using the concept of heat function. The numerical simulation for total entropy generation has been carried out for Prandtl numbers pertaining to ground water for different Ra1 and Ra2.

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Convective instabilities in binary mixture 3He-4He in porous media

Cited by 4 publications

References 29 publications

Nonlinear Analysis of Cross Rolls of Electrically Conducting Fluid under an Applied Magnetic Field with Rotation

Nonlinear Analysis of Cross Rolls of Electrically Conducting Fluid under an Applied Magnetic Field with Rotation

Slip boundary conditions effect on bidispersive convection with local thermal non-equilibrium: Significant findings

Finite Amplitude Cellular Thermohaline Convection

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