Heat and Mass Transfer Analysis of a Fluid Flow across the Conical Gap of a Cone-Disk Apparatus under the Thermophoretic Particles Motion

Srilatha, Pudhari; Remidi, Srinivas; Nagapavani, M.; Singh, Harjot; Prasannakumara, B. C.

doi:10.3390/en16020952

Cited by 26 publications

(1 citation statement)

References 30 publications

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“…Bhandari (2021), Upadhya et al (2022), Rooman et al (2022), Moatimid et al (2022) and Alrabaiah et al (2022) used a self-similar formulation of the problem for nanofluid (the conicity angle varied in the range from 15°to 60°), taking into account radial thermal conductivity. Wang et al (2022), Basavarajappa and Bhatta (2022), Basavarajappa and Bhatta (2023) and Srilatha et al (2023) used the self-similar formulation of the problem for a nanofluid and added a term with radial thermal conductivity. The Lie group analysis performed in Basavarajappa and Bhatta (2023) confirmed the self-similar functions obtained by Shevchuk (2004aShevchuk ( , 2004b.…”

Section: Introductionmentioning

confidence: 99%

Improved asymptotic expansion method for laminar fluid flow and heat transfer in conical gaps with disks rotating

Shevchuk

2023

HFF

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Purpose The purpose of this paper was to study laminar fluid flow and convective heat transfer in a conical gap at small conicity angles up to 4° for the case of disk rotation with a fixed cone. Design/methodology/approach In this paper, the improved asymptotic expansion method developed by the author was applied to the self-similar Navier–Stokes equations. The characteristic Reynolds number ranged from 0.001 to 2.0, and the Prandtl numbers ranged from 0.71 to 10. Findings Compared to previous approaches, the improved asymptotic expansion method has an accuracy like the self-similar solution in a significantly wider range of Reynolds and Prandtl numbers. Including radial thermal conductivity in the energy equation at small conicity angle leads to insignificant deviations of the Nusselt number (maximum 1.23%). Practical implications This problem has applications in rheometry to experimentally determine viscosity of liquids, as well as in bioengineering and medicine, where cone-and-disk devices serve as an incubator for nurturing endothelial cells. Social implications The study can help design more effective devices to nurture endothelial cells, which regulate exchanges between the bloodstream and the surrounding tissues. Originality/value To the best of the authors’ knowledge, for the first time, novel approximate analytical solutions were obtained for the radial, tangential and axial velocity components, flow swirl angle on the disk, tangential stresses on both surfaces, as well as static pressure, which varies not only with the Reynolds number but also across the gap. These solutions are in excellent agreement with the self-similar solution.

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Section: Introductionmentioning

confidence: 99%

Improved asymptotic expansion method for laminar fluid flow and heat transfer in conical gaps with disks rotating

Shevchuk

2023

HFF

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Study of hybrid nanofluid flow in a stationary cone-disk system with temperature-dependent fluid properties

John,

Mahanthesh,

Lorenzini

2024

Appl. Math. Mech.-Engl. Ed.

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Cone-disk systems find frequent use such as conical diffusers, medical devices, various rheometric, and viscosimetry applications. In this study, we investigate the three-dimensional flow of a water-based Ag-MgO hybrid nanofluid in a static cone-disk system while considering temperature-dependent fluid properties. How the variable fluid properties affect the dynamics and heat transfer features is studied by Reynolds’s linearized model for variable viscosity and Chiam’s model for variable thermal conductivity. The single-phase nanofluid model is utilized to describe convective heat transfer in hybrid nanofluids, incorporating the experimental data. This model is developed as a coupled system of convective-diffusion equations, encompassing the conservation of momentum and the conservation of thermal energy, in conjunction with an incompressibility condition. A self-similar model is developed by the Lie-group scaling transformations, and the subsequent self-similar equations are then solved numerically. The influence of variable fluid parameters on both swirling and non-swirling flow cases is analyzed. Additionally, the Nusselt number for the disk surface is calculated. It is found that an increase in the temperature-dependent viscosity parameter enhances heat transfer characteristics in the static cone-disk system, while the thermal conductivity parameter has the opposite effect.

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Thermal analysis of the flow of the Maxwell nanofluid through the cone and disk system space with dual diffusion and multiple rotations

Ayed,

Mouldi,

Gul

et al. 2023

J Therm Anal Calorim

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Heat and Mass Transfer Analysis of a Fluid Flow across the Conical Gap of a Cone-Disk Apparatus under the Thermophoretic Particles Motion

Cited by 26 publications

References 30 publications

Improved asymptotic expansion method for laminar fluid flow and heat transfer in conical gaps with disks rotating

Improved asymptotic expansion method for laminar fluid flow and heat transfer in conical gaps with disks rotating

Study of hybrid nanofluid flow in a stationary cone-disk system with temperature-dependent fluid properties

Thermal analysis of the flow of the Maxwell nanofluid through the cone and disk system space with dual diffusion and multiple rotations

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