Finite Element Simulation with Heatlines and Entropy Generation Minimization during Natural Convection within Porous Tilted Square Cavities

Basak, Tanmay; Singh, Abhishek Kumar; Richard, Rini; Roy, S.

doi:10.1021/ie4005755

Cited by 14 publications

(4 citation statements)

References 45 publications

(70 reference statements)

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“…It was deduced that, the entropy production rates for uniform heating case were higher than that for non-uniform heating cavity. Basak et al, [24] undertook numerical simulation of entropy production in free convection of a porous media confined in a tilted square cavity. The authors reported that, maximum heat transfer and minimum entropy production occurred for ( ≤ 30°) cavities at high Darcy number (i.e., Da = 10 −3 ) and low Prandtl number (i.e., Pr = 0.025).…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Entropy Generation of Conjugate Heat Transfer in A Porous Cavity with Finite Walls and Localized Heat Source

Elamin

Hussein

Mahdi

2021

ARFMTS

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In this research, the entropy production of the conjugate heat transfer in a tilted porous cavity in respect to heat source and solid walls locations has been studied numerically. Three different cases of the cavity with finite walls thickness and heat source locations are considered in the present study. For both cases one and two, the cavity considered has a vertical finite walls thickness, while the cavity with the horizontal finite walls thickness is considered for case three. For cases one and two, the left sidewall of the cavity is exposed to heat source, whereas the rest of this wall as well as the right sidewall are adiabatic. The upper and lower cavity walls are adiabatic. For case three, the lower wall is exposed to a localized heat source, while the rest of it is assumed adiabatic. The upper wall is cold, whereas the left and right sidewalls are adiabatic. The flow and thermal fields properties along with the entropy production are computed for the modified Rayleigh number (150 ? Ram ? 1000), thermal conductivity ratio (1 ? Kr ? 10), heat source length (0.2 ? B ? 0.6), aspect ratio (0.5 ? AR ? 2) and walls thickness (0.1 ? D1 ? 0.2 and 0.1 ? D2 ? 0.2) respectively. The results show that, the maximum values of the entropy generated from fluid friction develop close to the cavity wall-fluid interfacial, while the maximum values of the entropy generated from heat transfer develop nearby the heat source region. The average Bejan number (Beav) is higher than (0.5) for cases one and two. While for case three, it was found to be less than (0.5). Also, the results show that as the modified Rayleigh number, thermal conductivity ratio, heat source length and aspect ratio increased, the fluid flow intensity in the cavity increased. While, it decreased when the walls thickness increased. From the results, it is concluded that case three gives a higher heat transfer enhancement. The obtained results are compared against another published results and a good agreement is found between them.

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Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Entropy Generation of Conjugate Heat Transfer in A Porous Cavity with Finite Walls and Localized Heat Source

Elamin

Hussein

Mahdi

2021

ARFMTS

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“…The objective of this present study is to analyze the entropy generation due to natural convection in quadrantal enclosure filled with fluid saturated porous medium for Rayleigh Benard heating situations based on its various engineering (cooling of mounted electronic devices) and natural applications(geothermal).The finite element method has been employed to solve the nonlinear equations of fluid flow, energy and entropy for a range of Darcy parameters Da=10 -5 -10 -3 and Pr=0.71 for Rayleigh number (Ra=10 4 ,1.7x10 5 and 10 6 ). Also important to emphasise here is that the numerical simulations are chosen in order to show the effect of Da which are reported to be well within the regimes of possible operating conditions as reported in the literature by Basak et al( ,2013. It is also important to mention in this context here that the Darcy number physically represents the permeability of the porous medium chosen for the numerical study, while the Rayleigh number represents the relative ability to transport thermal energy due to buoyancy to that due to diffusion of heat in the enclosure or cavity chosen for study.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation Due to Natural Convection With Non -Uniform Heating of Porous Quadrantal Enclosure-a Numerical Study

Dutta¹,

Biswas²

2018

Frontiers in Heat and Mass Transfer

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Industrial processes optimization for higher energy efficiency may be effectively carried out based on the thermodynamic approach of entropy generation minimization (EGM). This approach provides the key insights on how the available energy (exergy) is being destroyed during the process and the ways to minimize its destruction. In this study, EGM approach is implemented for the analysis of optimal thermal mixing and temperature uniformity due to natural convection in quadrantal cavity filled with porous medium for the material processing applications or for cooling of electrical equipments. Effect of the permeability of the porous medium and the role of non-uniform heating in enhancing the thermal mixing, temperature effects and minimization of entropy generation is analyzed. The numerical solutions are obtained using finite element method. Stream lines , Isotherms and Entropy generation results are depicted for Ra=10 6 , 1.7x10 5 , 10 4 and for Da=10-3 , 10-4 and 10-5 at Pr=0.71.It is found that at lower Darcy number (Da), the thermal mixing is low and the heat transfer irreversibility dominates the total entropy generation. In contrast, thermal mixing is improved due to enhanced convection at higher Da. It is observed that fluid friction irreversibility dominates over heat transfer irreversibility for only Da=10-3 at Ra=10 6. The local entropy generation is maximum at the bottom wall, while at the center and top of the enclosure it becomes minimum. Based on EGM analysis, it is established that total entropy production is not significant with larger thermal mixing at high Darcy number, and can be recommended for material processing process or for cooling of electrical equipments.

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“…As such, efficiency analysis of any thermal system is an important issue to the thermal system designers because the optimal design criteria of such a system depends on the idea of minimizing entropy generation in the system. Works are available in the literature pertaining to entropy-generation analysis for convective transport in cavities − frequently encountered in potential chemical engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic Mixed Convective Transport in a Nonisothermally Heated Lid-Driven Square Enclosure Including a Heat-Conducting Circular Cylinder

Chatterjee

Gupta

2014

Ind. Eng. Chem. Res.

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A two-dimensional numerical study is performed in an effort to understand the fundamental characteristics of hydromagnetic mixed convective transport in a nonisothermally heated vertical lid-driven square enclosure filled with an electrically conducting fluid in the presence of a heat-conducting solid circular cylinder. Additionally, entropy generation due to heat transfer, fluid friction, and magnetic effect is also determined. Simulations are performed for various controlling parameters such as the Richardson number (1 ≤ Ri ≤ 10), Hartmann number (0 ≤ Ha ≤ 50), Prandtl number (0.02 ≤ Pr ≤ 7), Reynolds number based on the lid velocity (Re = 100, 150, and 200), and amplitude of the sinusoidal function (A = 0.25, 0.5, and 1), keeping the solid−fluid thermal conductivity ratio fixed as K = 5. The flow and thermal fields are analyzed through streamline and isotherm plots for various Ha, Ri, Re, and Pr. Furthermore, the drag coefficient on the moving lid and Nusselt numbers on heated surfaces are also computed to understand the effects of Ha, Ri, Re, Pr, and n on them. It is observed that the drag on the moving lid decreases with Re and increases with Ri and Ha, however, remains insensitive with Pr. The heat-transfer rate from the hot right wall increases as usual with Re, Pr, and Ri but decreases with Ha. The sinusoidally heated bottom wall shows a decrease in the heat-transfer rate with increasing Pr, and at higher Pr, it also decreases with Re. Furthermore, increasing magnetic field strength causes an increase in the heat-transfer rate from the bottom wall. It also decreases with decreasing value of the amplitude of the sinusoidal function.

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Finite Element Simulation with Heatlines and Entropy Generation Minimization during Natural Convection within Porous Tilted Square Cavities

Cited by 14 publications

References 45 publications

Numerical Simulation of Entropy Generation of Conjugate Heat Transfer in A Porous Cavity with Finite Walls and Localized Heat Source

Numerical Simulation of Entropy Generation of Conjugate Heat Transfer in A Porous Cavity with Finite Walls and Localized Heat Source

Entropy Generation Due to Natural Convection With Non -Uniform Heating of Porous Quadrantal Enclosure-a Numerical Study

Hydromagnetic Mixed Convective Transport in a Nonisothermally Heated Lid-Driven Square Enclosure Including a Heat-Conducting Circular Cylinder

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