Numerical Investigation of Heat Transfer in a Developing Thermal Field in the Porous-Filled Duct Under Local Thermal Nonequilibrium: Constant Wall Heat Flux

Gupta, Nitish; Bhargavi, D.

doi:10.1615/specialtopicsrevporousmedia.2022044357

Cited by 10 publications

(5 citation statements)

References 60 publications

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“…Plots for the fully developed Nusselt number (FDNN), the temperature in FP and SP, and the hydrodynamics velocity are addressed in this section. Ranges of the parameters are 0.001 ≤ DaW ≤ 0.1, 0.1 ≤ λ ≤ 5, 2 ≤ MW ≤ 10, 0 ≤ ϕ ≤ π/2, 0.01 ≤ BrW ≤ 0.8, BiW = 10, and 100, and also taking the assumption 1 1, 0.1 [12,15,29,30,31]).…”

Section: Resultsmentioning

confidence: 99%

“…In Eqs. ( 4) and ( 5), BiW, BrW denote the Biot number, and Brinkman number, respectively; however, the theoretical definitions for k1, and ν are given in the literature [12] and it can be defined as,…”

Section: Problem Modelingmentioning

confidence: 99%

“…The influence of viscous dissipation on the LTNE model has been discussed by several authors ( [9][10][11]). Gupta and Bhargavi [12] provided a detailed analysis of the LTNE effect in a duct completely filled with a porous material. They presented their findings based on general Biot numbers, demonstrating how these numbers contribute to enhancing the new porous materials' thermal performance with tailored qualities.…”

Section: Introductionmentioning

confidence: 99%

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An Analytical Study of the Impact of an Inclined Magnetic Field on Couette Flow with Jeffrey Fluid under Local Thermal Non-Equilibrium (LTNE) and Viscous Dissipation

Gupta,

Bhargavi

2024

AMM

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In this work, we examine the effects of viscous dissipation and local thermal non-equilibrium (LTNE) on Couette flow in a duct filled with a porous media under the influence of an angled magnetic field. The bottom plate of the duct is in motion and subjected to a constant heat flux, while the top plate remains stationary and adiabatic. The Jeffrey fluid flow model is consistent with the unidirectional flow in the porous zone. The studies provide more precise measurements of the effects of the Jeffrey parameter (λ), inclined angle (ϕ), Hartmann number (MW), thermal conductivity ratio (ν), Brinkman number (BrW), and Biot number (BiW) on improving heat transmission. The governing equations are solved analytically. The present investigation gives dimensionless temperatures for fluid-solid phases and fully developed Nusselt number (FDNN) profiles. Variation of Jeffrey parameter, inclined angle, Brinkman number, and Hartman number in the temperature field in both phases and FDNN. Furthermore, the temperature in the solid phase is higher than the temperature in the fluid phase for the Jeffrey parameter and Hartman number in the Couette flow, which supports LTNE validation.

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Section: Resultsmentioning

confidence: 99%

Section: Problem Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An Analytical Study of the Impact of an Inclined Magnetic Field on Couette Flow with Jeffrey Fluid under Local Thermal Non-Equilibrium (LTNE) and Viscous Dissipation

Gupta,

Bhargavi

2024

AMM

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“…The form drag (FD) and clear fluid compatible (CFC) models are implemented as dissipation models. The governing equation for the conservation of momentum (Poiseuille flow model ) and energy in the fluid flow region and conservation of momentum (Darcy Brinkman model (Gupta and Bhargavi, 2022;and Wang, 2022) and energy across the porous region in the dimensional form are given by: Fluid region: In the above equations (Eq. ( 1) to ( 4 Boundary conditions in the dimensional form:…”

Section: Mathematical Modelmentioning

confidence: 99%

Impact of magnetic field on heat transfer with viscous dissipation at the conduction limit in a channel with a centred porous layer: constant wall temperature

Gupta,

D. Bhargavi

2023

Multidiscip. Sci. J.

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This paper investigates the impact of a magnetic field on heat transfer within a duct containing a centrally located porous layer. The duct comprises both fluid and porous regions, with the porous material occupying the central section. The channel walls are maintained at constant temperatures. In the fluid region, the flow field is governed by the Poiseuille flow equation, while in the porous region, the non-Darcy Brinkman equation is employed to model the flow. It is assumed that the flow field is fully developed. To account for viscous dissipation, two dissipation models, namely the clear fluid compatible (CFC) model and the form drag (FD) model, are implemented in the porous region. The study delves into the detailed effects of these dissipation models on heat transfer. The system is characterized by several well-established properties, including the porous fraction (δp), Darcy number (Da), Brinkman number (Br), and Hartmann number (M). Analytical expressions for the limiting Nusselt number (LNN) and the limiting temperature profiles (LTP) are derived at the conduction limit, taking into consideration the presence of the magnetic field. For high Hartmann numbers, the CFC model is deemed appropriate for the viscous dissipation model.

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“…and widely used in the literature(Satyamurty and Bhargavi 2010;Gupta and Bhargavi 2022), was implemented to calculate the numerical solutions to Eqs. (11), and (12) with the boundary conditions on φ specified in Eqs.…”

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confidence: 99%

A Numerical Study of the Effect of Magnetic field in the Entrance region of a Couette flow in a Duct Filled with Porous Material under the Local Thermal Non-Equilibrium

Bhargavi

Gupta

Narayana

2023

Preprint

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The effect of the magnetic field on Couette flow in a porous-filled duct under local thermal non-equilibrium (LTNE) is examined in the present analysis. The bottom plate is moving and experiencing isoflux boundary conditions, whereas the top plate is stationary and adiabatic. The porous region's unidirectional flow fits the Darcy Brinkman (DB) model. The investigations further quantify the impact of the thermal conductivity ratio (κ), Hartmann number (MH), and Biot number (BiH), on heat transfer enhancement. For the coupled energy equations, a successive accelerated replacement (SAR) method is used to generate numerical solutions. The present investigation gives the temperatures in the solid and, the fluid phases in dimensionless form, dimensionless temperature based on the bulk mean temperature and, the local Nusselt number profiles. In the Couette flow model, the magnetic field influences the temperature field in both phases. Additionally, for each Hartmann number, the temperature of the solid phase is greater than that of the fluid phase, validating LTNE. For the thermal field, the fully developed condition is validated in the LTNE model. This study is primarily concerned with modeling high-performance matrix heat exchangers.

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Numerical Investigation of Heat Transfer in a Developing Thermal Field in the Porous-Filled Duct Under Local Thermal Nonequilibrium: Constant Wall Heat Flux

Cited by 10 publications

References 60 publications

An Analytical Study of the Impact of an Inclined Magnetic Field on Couette Flow with Jeffrey Fluid under Local Thermal Non-Equilibrium (LTNE) and Viscous Dissipation

An Analytical Study of the Impact of an Inclined Magnetic Field on Couette Flow with Jeffrey Fluid under Local Thermal Non-Equilibrium (LTNE) and Viscous Dissipation

Impact of magnetic field on heat transfer with viscous dissipation at the conduction limit in a channel with a centred porous layer: constant wall temperature

A Numerical Study of the Effect of Magnetic field in the Entrance region of a Couette flow in a Duct Filled with Porous Material under the Local Thermal Non-Equilibrium

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