The effect of the position of the heated thin porous fin on the laminar natural convection heat transfer in a differentially heated cavity

Alshuraiaan, Bader; Khanafer, Khalil

doi:10.1016/j.icheatmasstransfer.2016.09.014

Cited by 37 publications

(12 citation statements)

References 17 publications

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“…Moreover, the porous fin parameters significantly influenced the drag reduction efficiency. Alshuraiaan and Khanafer 69 analyzed the effects of the location of a thin heated porous fin on the natural laminar convection heat transfer in a differentially heated cavity. The governing equations were solved by using a finite element formulation based on the Galerkin method of weighted residuals.…”

Section: Computational Studiesmentioning

confidence: 99%

Improvement of heat transfer through fins: A brief review of recent developments

Maji¹,

Choubey

2020

Heat Trans

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Fins or extended surfaces are generally used in heat exchangers to enhance heat transfer between the main surface and ambient fluid. Various types of simple-shaped fins, namely, rectangular, square, annular, cylindrical, and tapered, have been used with different geometrical combinations. To satisfy industrial demand, different trials have also been carried out for designing optimized fins. The optimization of fins can be performed either by enhancing heat dissipation at an exact fin weight or by diminishing the weight of the fin by precise heat dissipation. Recently a notable amount of work on some typical fins, like, porous fins and perforated fins, has also been carried out. This paper presents a brief review on heat transfer enhancement using fins of different types considering variable thermophysical and geometric parameters, which will also be useful for future use of geometrical modifications of extended surfaces, based on the cost and availability of space.analytical approach, computational approach, experimental approach, perforated fin, porous fin | INTRODUCTIONAdvanced technologies need high-performance heat transfer equipment. Techniques for enhancing the heat transfer rate are classified into two categories: active and passive methods. In the design point of view, active methods are complex as they require some extraneous power input for necessary flow adjustments and to improve the heat transfer rate and thus applications are limited. On the other hand, passive methods require geometrical or surface adjustments to the flow passage by incorporating additional devices. Additionally, by interrupting or varying the existing flow behavior (except for extended surfaces); higher heat transfer coefficients are promoted through this method, which is also followed by an increase in the corresponding pressure drop. The amount of conduction, convection, and radiation of an object shows the amount of heat it transfers. The heat transfer rate is enhanced by increasing the temperature difference between the object and the environment or by enhancing the coefficient of convective heat transfer or by maximizing the surface area of the body. In some cases, it is not appropriate or cost effective to alter the first two options. Introducing a fin to a body, however, expands the surface area and sometimes this is a cost-effective solution for heat transfer problems. Extended surfaces or fins are illustrations of passive methods that are generally used in different industrial applications for the enhancement of heat transfer between the primary surface (heat sink) and the surrounding fluid. Currently reducing the cost and size of fins is the key target of the fin industry. This demand is generally met by the high-thermal-conductivity and costly metals used to fabricate finned surfaces. Many efforts have been made to construct optimized fins. (a) By changing the size and shape of the solid fin: Instead of a longitudinal rectangular solid fin, if the geometry of fin design is changed, the performance parameters and heat tr...

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Section: Computational Studiesmentioning

confidence: 99%

Improvement of heat transfer through fins: A brief review of recent developments

Maji¹,

Choubey

2020

Heat Trans

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“…e following convex functional is proposed, such that its minimization will correspond to the solution of problem (11):…”

Section: Porous Fin With Prescribed Convection At the Tipmentioning

confidence: 99%

“…e addition of a fin or an array of fins to the cavity walls may increase the overall heat transfer rate in a cavity. Alshuraiaan and Khanafer [11] used a Darcy-Forchheimer model to study natural convection in a differentially heated cavity with two thin porous fins attached to the hot wall and bottom insulated and solved the equations, obtained by a volume-average technique for a two-dimensional geometry, by finite element formulation based on the Galerkin method of weighted residuals. Asl et al [12] also employed a Darcy-Forchheimer model to model the natural convection in an inclined rectangular enclosure with several porous fins attached to the hot wall for relevant parameters, comparing the enclosures with porous fins with both cavities with solid fins and/or cavities without fins.…”

Section: Introductionmentioning

confidence: 99%

Temperature Distribution in Porous Fins, Subjected to Convection and Radiation, Obtained from the Minimization of a Convex Functional

Martins‐Costa

Sarmento

Lira

et al. 2020

Mathematical Problems in Engineering

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This work proposes a convex functional endowed with a minimum, which occurs for the solution of the thermal radiation and natural convection heat transfer problem in a rectangular profile porous fin with a fluid flowing through it. The minimum principle ensures the (mathematically demonstrated) uniqueness of the solution and allows the problem simulation by employing a minimization procedure. Darcy’s law with the Oberbeck–Boussinesq approximation simplifies the momentum equation. The energy equation assumes thermal equilibrium between the porous matrix and fluid, allowing comparisons with previous authors’ models, which accounts for the effects of a porosity parameter, a radiation parameter, and a temperature ratio on the temperature. Results for very long fin and finite-length fin with insulated tip were successfully compared with previous works. Closed-form exact solutions for two limiting cases (no convection and no thermal radiation) are also presented.

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“…These approaches investigate the thermal behaviour of solid and porous fins under different operating conditions. Examples of some related research includes Runge-Kutta [9e11], Galerkin's method of weighted residual [12,13], least square method [14], various collocation methods -Haar wavelet [15,16], -spectral [17], -Chebyshev [18,19]; Spectral element [20]; and Legendre [21] Adomian decomposition method [22,23], Differential transform method [24e26], variational iteration method [27], and Homotopy analysis method [28] Nevertheless, to achieve the nonlinear analysis of the heat transfer problem, it is often a daunting task to develop the generalized closed-form solution.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Inclination on the Thermal Performance of Porous Fin Heatsink using Pseudospectral Collocation Method

Oguntala¹,

Sobamowo²,

Abd‐Alhameed³

et al. 2019

Karbala International Journal of Modern Science

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Numerical investigation of inclination effect on the thermal performance of a porous fin heat sink is presented. The developed thermal model is solved using pseudo-spectral collocation method (PSCM). Parametric studies are carried out using PSCM, and the thermal characterization of heat sink with the inclined porous fin of rectangular geometry is presented. Results show that heat sink of inclined porous fin exhibits higher thermal performance than heat sink of vertical porous fin operating under the same thermal conditions with the same geometrical configurations. Performance of inclined or tilted fin increases with decrease in length-thickness aspect ratio. However, increase in the internal heat generation parameter decreases the fin temperature gradient which invariably decreases the heat transfer performance of the fin. Furthermore, the results of the pseudo-spectral collocation method are compared with the results of Runge-Kutta method. Excellent agreement is established between the results of the non-convectional numerical method and the results of Runge-Kutta, which validates the accuracy of the method for analysis of nonlinear heat transfer problems. The results presented in this paper, hopefully, serves as motivation for the design and optimization of thermally-enhanced heatsinks.

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The effect of the position of the heated thin porous fin on the laminar natural convection heat transfer in a differentially heated cavity

Cited by 37 publications

References 17 publications

Improvement of heat transfer through fins: A brief review of recent developments

Improvement of heat transfer through fins: A brief review of recent developments

Temperature Distribution in Porous Fins, Subjected to Convection and Radiation, Obtained from the Minimization of a Convex Functional

Numerical Investigation of Inclination on the Thermal Performance of Porous Fin Heatsink using Pseudospectral Collocation Method

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