A study on the effect of temperature modulation on Darcy–Bénard convection using a local thermal non-equilibrium model

Bansal, Ajay Kumar; Suthar, Om P.

doi:10.1063/5.0086020

Cited by 11 publications

(3 citation statements)

References 39 publications

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“…We first present a detailed literature survey concerning RBC in a loosely-packed porous medium (Brinkman-Bénard convection-BBC) followed by that of a denselypacked porous medium (Darcy-Bénard convection-DBC) occupying a rectangular geometry and a cylindrical geometry with the LTNE assumption. The articles studying BBC with LTNE [1][2][3][4][5][6][7][8] and DBC with LTNE [9][10][11][12][13][14] in rectangular enclosures (RE) are covered below. Phanikumar and Mahajan [1] examined the heat transfer characteristics of natural convection flow in a fluid-saturated metal-foam porous medium heated from below.…”

Section: Introductionmentioning

confidence: 99%

“…They found from the study that the phase-lag effects alter the nature of chaos. Bansal and Suthar [14] analysed the onset of DBC using the LTNE model when the temperature of the two boundaries varies sinusoidally. The matrix differential operator theory is adopted to perform the stability analysis, and the critical Rayleigh number as a function of system parameters is obtained.…”

Section: Introductionmentioning

confidence: 99%

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A Unified Approach to Two-Dimensional Brinkman-Bénard Convection of Newtonian Liquids in Cylindrical and Rectangular Enclosures

Siddheshwar,

Lakshmi,

Laroze

2023

Entropy

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A unified model for the analysis of two-dimensional Brinkman–Bénard/Rayleigh–Bénard/ Darcy–Bénard convection in cylindrical and rectangular enclosures (CE/RE) saturated by a Newtonian liquid is presented by adopting the local thermal non-equilibrium (LTNE) model for the heat transfer between fluid and solid phases. The actual thermophysical properties of water and porous media are used. The range of permissible values for all the parameters is calculated and used in the analysis. The result of the local thermal equilibrium (LTE) model is obtained as a particular case of the LTNE model through the use of asymptotic analyses. The critical value of the Rayleigh number at which the entropy generates in the system is reported in the study. The analytical expression for the number of Bénard cells formed in the system at the onset of convection as a function of the aspect ratio, So, and parameters appearing in the problem is obtained. For a given value of So it was found that in comparison with the case of LTE, more number of cells manifest in the case of LTNE. Likewise, smaller cells form in the DBC problem when compared with the corresponding problem of BBC. In the case of RBC, fewer cells form when compared to that in the case of BBC and DBC. The above findings are true in both CE and RE. In other words, the presence of a porous medium results in the production of less entropy in the system, or a more significant number of cells represents the case of less entropy production in the system. For small and finite So, the appearance of the first cell differs in the CE and RE problems.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Unified Approach to Two-Dimensional Brinkman-Bénard Convection of Newtonian Liquids in Cylindrical and Rectangular Enclosures

Siddheshwar,

Lakshmi,

Laroze

2023

Entropy

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“…Motivated by this, numerous researchers (Siddheshwar and Abraham, 19 Bhadauria, 20 Siddheshwar et al, 21 Bhadauria and Kiran, 22 Kanchana et al, 23 Hazra et al, 24 Pranesh et al 25 ) have investigated the RBC system with temperature modulation under various scenarios and found that the flow at the onset of convection can oscillate either subharmonically or harmonically with externally imposed temperature modulation. Bansal and Om 26 recently investigated the onset of Darcy–Bénard convection in a liquid and porous medium in thermal nonequilibrium. The temperatures at the boundaries vary sinusoidally with time in either a synchronous or asynchronous manner.…”

Section: Introductionmentioning

confidence: 99%

In‐phase, out‐of‐phase, bottom‐wall two‐frequency boundary temperature modulations on the onset of Rayleigh‐Bénard convection

Mathew

Pranesh

2022

Heat Trans

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The onset of convection in a Newtonian liquidcontaining system is investigated using a twofrequency boundary temperature. The consequences of three types of two-frequency boundary temperature modulations have been thoroughly investigated: (i) inphase, (ii) out-of-phase, and (iii) bottom-wall. The combined effect of two frequencies with sinusoidal and nonsinusoidal wave types is also documented under these various types of boundary temperature modulations. To facilitate the study, the Venezian method is approved and the critical Rayleigh number and its correction are calculated. The parameters resulting from the study's two frequencies of modulation are the mixing angle, χ , the amplitudes, β δ , , and the set of coprime integers, r r ( , ) 1 2 . The system's thermodynamics determines the range of these parameters. The research discovered that out-of-phase two-frequency boundary temperature modulation is the most stable, while inphase is the least stable. Besides that, any combination of wave type with square wave type yields the most excellent stability. Furthermore, the two-frequency boundary temperature modulation is more stable than the single-frequency and no-modulation cases.

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Temperature modulation effects on chaos and heat transfer in Darcy–Bénard convection using a local thermal non-equilibrium model

Bansal,

Suthar

2024

Nonlinear Dyn

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A study on the effect of temperature modulation on Darcy–Bénard convection using a local thermal non-equilibrium model

Cited by 11 publications

References 39 publications

A Unified Approach to Two-Dimensional Brinkman-Bénard Convection of Newtonian Liquids in Cylindrical and Rectangular Enclosures

A Unified Approach to Two-Dimensional Brinkman-Bénard Convection of Newtonian Liquids in Cylindrical and Rectangular Enclosures

In‐phase, out‐of‐phase, bottom‐wall two‐frequency boundary temperature modulations on the onset of Rayleigh‐Bénard convection

Temperature modulation effects on chaos and heat transfer in Darcy–Bénard convection using a local thermal non-equilibrium model

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