Natural convection heat transfer and entropy generation in a porous rhombic enclosure: influence of non-uniform heating

Dutta, Susanta; Goswami, Navneet; Pati, Sukumar; Biswas, Ashis

doi:10.1007/s10973-020-09634-7

Cited by 41 publications

(10 citation statements)

References 51 publications

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“…It may also be considered as the ratio of stress relaxation time to the process time, under shearing. The black line in this Figure depicts the Newtonian fluid obtained by assuming We = 0 in Equations (11)(12). This special case achieves the maximum temperatures for the majority of the span of the channel.…”

Section: Graphical and Numerical Analysismentioning

confidence: 97%

“…This inhibits both upward motion of the polymer and induces a cooling effect. Forchheimer number F r also features in the modified viscous heating term, +𝐵 𝑟 𝐹 𝑟 𝑣 3 in the energy Equation (12). Effectively greater Forchheimer drag in the porous medium encourages heat transfer to the duct walls and produces greater average Nusselt numbers.…”

Section: Graphical and Numerical Analysismentioning

confidence: 99%

“…Jha and Samaila [10] derived similarity solutions for natural convection flow over a vertical plate under the influence of thermal radiation. Dash and Dash [11] used a computational approach to investigate natural convection in a vertical thick hollow cylinder, under the influence of non-uniform heating, Dutta et al [12] investigated the entropy generation and heat transmission mechanism with natural connection through a rhombic enclosure. Non-Newtonian natural convection studies have utilised many different rheological constitutive equations to simulate a variety of industrial liquids.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study of natural convection dissipative electro‐magnetic non‐Newtonian flow through a non‐Darcy channel

et al. 2022

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Inspired by simulating duct thermal processing of novel functional polymers, a novel mathematical model is developed for buoyancy‐driven heat transfer in non‐Newtonian Williamson fluid flow in a vertical parallel plate duct containing a permeable medium, under mutually orthogonal electrical and magnetic fields. The momentum equation features electrical and magnetic body force terms, and the Darcy–Brinkman–Forchheimer mode is used for non‐Darcy effects. The energy balance equation includes thermal buoyancy (natural convection body force) and a modified viscous dissipation term. The conservation equations with associated boundary conditions are reframed into a system of coupled non‐linear ordinary differential equations via appropriate similarity transformations. The emerging dimensionless boundary value problem is then solved with a differential transform method (DTM). Validation of DTM solutions with the bvp4c MATLAB collocation solver is included. The influence of key parameters on velocity, temperature and average Nusselt number, are computed and illustrated graphically. With elevation in Weissenberg (non‐Newtonian) number, velocity and temperature are reduced. Velocity is suppressed with increasing non‐Darcian parameter (Forchheimer effect) whereas it is enhanced with increment in buoyancy convection parameter. With increasing Forchheimer, Darcy number and Hartmann number, the average Nusselt number is boosted whereas it is decreased with higher values of buoyancy convection parameter, Brinkman number and Weissenberg number. A strong reduction in temperature is computed with increment in ratio of Joule electrical heating to heat conduction parameter. DTM is shown to be an exceptionally accurate and versatile approach for simulating non‐Newtonian electromagnetohydrodynamic transport in ducts.

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Section: Graphical and Numerical Analysismentioning

confidence: 97%

Section: Graphical and Numerical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical study of natural convection dissipative electro‐magnetic non‐Newtonian flow through a non‐Darcy channel

et al. 2022

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“…Recently, Dutta et al [35] performed free convection temperature transport of nanofluids by the impression of non-uniform heated boundary system in the rhombic enclosure. Uddin and Rasel [36] investigated the convective heat transport of nanofluids in the quadrilateral cavity by the magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Impact of Non-Uniform Periodic Magnetic Field on Unsteady Natural Convection Flow of Nanofluids in Square Enclosure

et al. 2022

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In this article, unsteady free convective heat transport of copper-water nanofluid within a square-shaped enclosure with the dominance of non-uniform horizontal periodic magnetic effect is investigated numerically. Various nanofluids are also used to investigate temperature performance. The Brownian movement of nano-sized particles is included in the present model. A sinusoidal function of the y coordinate is considered for the magnetic effect, which works as a non-uniform magnetic field. The left sidewall is warmed at a higher heat, whereas the right sidewall is cooled at a lower heat. The upper and bottom walls are insulated. For solving the governing non-linear partial differential equation, Galerkin weighted residual finite element method is devoted. Comparisons are made with previously published articles, and we found there to be excellent compliance. The influence of various physical parameters, namely, the volume fraction of nanoparticles, period of the non-uniform magnetic field, Rayleigh number, the shape and diameter of nanoparticles, and Hartmann number on the temperature transport and fluid flow are researched. The local and average Nusselt number is also calculated to investigate the impact of different parameters on the flow field. The results show the best performance of heat transport for the Fe3O4-water nanofluid than for other types of nanofluids. The heat transport rate increases 20.14% for Fe3O4-water nanofluid and 8.94% for TiO2-water nanofluid with 1% nanoparticles volume. The heat transportation rate enhances with additional nanoparticles into the base fluid whereas it decreases with the increase of Hartmann number and diameter of particles. A comparison study of uniform and non-uniform magnetic effects is performed, and a higher heat transfer rate is observed for a non-uniform magnetic effect compared to a uniform magnetic effect. Moreover, periods of magnetic effect and a nanoparticle’s Brownian movement significantly impacts the temperature transport and fluid flow. The solution reaches unsteady state to steady state within a very short time.

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“…They observed that, when Biot number was small, and Darcy number of first layer was smaller than that for second layer, the total entropy generation rate for a tube filled with double layer was less than that for a tube filled with single layer of porous medium. Dutta et al, [31] researched the influence of non-uniform heating on natural convection and entropy generation in a rhombic enclosure filled with a porous medium. Both left and right walls of enclosure were preserved at low temperature, while top and bottom walls were exposed to non-uniform, varying temperature with unequal phase angles.…”

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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Natural convection heat transfer and entropy generation in a porous rhombic enclosure: influence of non-uniform heating

Cited by 41 publications

References 51 publications

Numerical study of natural convection dissipative electro‐magnetic non‐Newtonian flow through a non‐Darcy channel

Numerical study of natural convection dissipative electro‐magnetic non‐Newtonian flow through a non‐Darcy channel

Impact of Non-Uniform Periodic Magnetic Field on Unsteady Natural Convection Flow of Nanofluids in Square Enclosure

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

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