Entropy generation effect of a buoyancy force on hydromagnetic heat generating couple stress fluid through a porous medium with isothermal boundaries

Hassan, Anthony R.; Disu, A.B.; Fenuga, O.J.

doi:10.1016/j.heliyon.2020.e04156

Cited by 7 publications

(5 citation statements)

References 29 publications

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“…In a limiting case of the present problem the results concur with those of Hassan et al 25 by setting to zero the thermal radiation parameter, Nr , considering the LTE assumption (

H \to \infty

γ \to \infty

), and for fixed values of

β = 1

italicHa = 1

ζ = 0.5

italicGr = 0.5

italicBr = 1

δ = 0.5

. This validation of the result is depicted in Figure 2.…”

Section: Resultssupporting

confidence: 89%

“…Comparison of velocity profile from the current study with Hassan et al 25 for the values of

β = 1, italicHa = 1, ζ = 0.5, italicGr = 0.5, italicNr = 0, italicBr = 1, H \to \infty, δ = 0.5

, and

γ = 100

[Color figure can be viewed at wileyonlinelibrary.com]…”

Section: Resultsmentioning

confidence: 86%

“…By taking the above assumptions into account, the momentum equation and thermal energy equations 25–28 for the fluid phase and solid phase are provided below:

- \frac{dp}{dx} + μ \frac{d^{2} u}{d y^{2}} - \frac{μ}{K} u - η \frac{d^{4} u}{d y^{4}} - σ^{⁎} B_{0}^{2} u + ρ β_{T} g false(T_{l} - T_{0} false) = 0,

ϵ k_{l} \frac{d^{2} T_{l}}{d y^{2}} - \frac{d q_{r}}{dy} + μ {(\frac{du}{dy})}^{2} + η {(\frac{d^{2} u}{d y^{2}})}^{2} + σ^{⁎} B_{0}^{2} u^{2} + h false(T_{s} - T_{l} false) + Q_{0} false(T_{l} - T_{0} false) = 0,

false(1 - ϵ false) k_{s} \frac{d^{2} T_{s}}{d y^{2}} - h false(T_{s} - T_{l} false) = 0 .

…”

Section: Mathematical Analysismentioning

confidence: 99%

“…Gangadhar et al 23 adopted R. K. Fehlberg IV and V schemes to study stagnation point flow of a hybrid nanofluid under the effects of a magnetic field and thermal radiation. Ramped wall temperature and velocity in a natural convective nanofluid flow through a porous vertical plate under the influence of thermal radiative flux and heat injection/consumption is examined by Anwar et al 24 Hassan et al 25 have reported heat transfer characteristics in a couple‐stress fluid flow through a porous medium under the assumption of thermal equilibrium between the fluid and solid phases.…”

Section: Introductionmentioning

confidence: 99%

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A study on entropy generation and heat transfer in a magnetohydrodynamic flow of a couple‐stress fluid through a thermal nonequilibrium vertical porous channel

2021

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The effect of local thermal nonequilibrium (LTNE) on the entropy generation and heat transfer characteristics in the magnetohydrodynamic flow of a couple‐stress fluid through a high‐porosity vertical channel is studied numerically using the higher‐order Galerkin technique. The Boussinesq approximation is assumed to be valid and the porous medium is considered to be isotropic and homogeneous. Two energy equations are considered one each for solid and fluid phases. The term involving the heat transfer coefficient in both equations renders them mutually coupled. Thermal radiation and an internal heat source are considered only in the fluid phase. The influence of inverse Darcy number, Hartmann number, couple‐stress fluid parameter, Grashof number, thermal radiation parameter, and interphase heat transfer coefficient on velocity and temperature profiles is depicted graphically and discussed. The entropy generation, friction factor, and Nusselt number are determined, and outcomes are presented via plots. The effect of LTNE on the temperature profile is found to cease when the value of the interphase heat transfer coefficient is high, and in this case, we get the temperature profiles of fluid and solid phases are uniform. The physical significance of LTNE is discussed in detail for different parameters' values. It is found that heat transport and friction drag are maximum in the case of LTNE and minimum in the case of local thermal equilibrium. We observe that LTNE opposes the irreversibility of the system. The corresponding results of a fluid‐saturated densely packed porous medium can be obtained as a limiting case of the current study.

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“…In a limiting case of the present problem the results concur with those of Hassan et al 25 by setting to zero the thermal radiation parameter, Nr , considering the LTE assumption (

H \to \infty

γ \to \infty

), and for fixed values of

β = 1

italicHa = 1

ζ = 0.5

italicGr = 0.5

italicBr = 1

δ = 0.5

. This validation of the result is depicted in Figure 2.…”

Section: Resultssupporting

confidence: 89%

“…Comparison of velocity profile from the current study with Hassan et al 25 for the values of

β = 1, italicHa = 1, ζ = 0.5, italicGr = 0.5, italicNr = 0, italicBr = 1, H \to \infty, δ = 0.5

, and

γ = 100

[Color figure can be viewed at wileyonlinelibrary.com]…”

Section: Resultsmentioning

confidence: 86%

“…By taking the above assumptions into account, the momentum equation and thermal energy equations 25–28 for the fluid phase and solid phase are provided below:

- \frac{dp}{dx} + μ \frac{d^{2} u}{d y^{2}} - \frac{μ}{K} u - η \frac{d^{4} u}{d y^{4}} - σ^{⁎} B_{0}^{2} u + ρ β_{T} g false(T_{l} - T_{0} false) = 0,

ϵ k_{l} \frac{d^{2} T_{l}}{d y^{2}} - \frac{d q_{r}}{dy} + μ {(\frac{du}{dy})}^{2} + η {(\frac{d^{2} u}{d y^{2}})}^{2} + σ^{⁎} B_{0}^{2} u^{2} + h false(T_{s} - T_{l} false) + Q_{0} false(T_{l} - T_{0} false) = 0,

false(1 - ϵ false) k_{s} \frac{d^{2} T_{s}}{d y^{2}} - h false(T_{s} - T_{l} false) = 0 .

…”

Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A study on entropy generation and heat transfer in a magnetohydrodynamic flow of a couple‐stress fluid through a thermal nonequilibrium vertical porous channel

2021

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“…Many studies have been carried out to examine the influence of buoyancy force on MHD entropy generation on porous medium by Fersadou et al (2015), Sheikholeslami et al (2017), Tayebi and Chamkha (2019) and Vijaybabu (2021). Hassan et al (2020) examined the influence of buoyancy force on MHD heat generation coupled with stress fluid passing through a permeable material through isothermal borders on entropy production. Their results show that near the flow stream’s centerline, where the buoyancy force and magnetic flux intensity are substantially reduced, entropy generation is higher.…”

Section: Effects Of Various Parameters On Entropy Generationmentioning

confidence: 99%

Modeling entropy generation of magnetohydrodynamics flow of nanofluid in a porous medium: a review

Zahor

Jain

Ali

et al. 2022

HFF

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Purpose The purpose of this paper is to review previous research studies on mathematical models for entropy generation in the magnetohydrodynamics (MHD) flow of nanofluids. In addition, the influence of various parameters on the velocity profiles, temperature profiles and entropy generation was studied. Furthermore, the numerical methods used to solve the model equations were summarized. The underlying purpose was to understand the research gap and develop a research agenda. Design/methodology/approach This paper reviews 141 journal articles published between 2010 and 2022 on topics related to mathematical models used to assess the impacts of various parameters on the entropy generation, heat transfer and velocity of the MHD flow of nanofluids. Findings This review clarifies the application of entropy generation mathematical models, identifies areas for future research and provides necessary information for future research in the development of efficient thermodynamic systems. It is hoped that this review paper can provide a basis for further research on the irreversibility of nanofluids flowing through different channels in the development of efficient thermodynamic systems. Originality/value Entropy generation analysis and minimization constitute effective approaches for improving the performance of thermodynamic systems. A comprehensive review of the effects of various parameters on entropy generation was performed in this study.

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Thermodynamic analysis of a tangent hyperbolic hydromagnetic heat generating fluid in quadratic Boussinesq approximation

Hassan

Salawu

Disu

et al. 2022

Journal of Computational Mathematics and Data Science

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Entropy generation effect of a buoyancy force on hydromagnetic heat generating couple stress fluid through a porous medium with isothermal boundaries

Cited by 7 publications

References 29 publications

A study on entropy generation and heat transfer in a magnetohydrodynamic flow of a couple‐stress fluid through a thermal nonequilibrium vertical porous channel

A study on entropy generation and heat transfer in a magnetohydrodynamic flow of a couple‐stress fluid through a thermal nonequilibrium vertical porous channel

Modeling entropy generation of magnetohydrodynamics flow of nanofluid in a porous medium: a review

Thermodynamic analysis of a tangent hyperbolic hydromagnetic heat generating fluid in quadratic Boussinesq approximation

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