Thermal Analysis of Natural Convection and Radiation Heat Transfer in Moving Porous Fins

Ndlovu, Partner L.; Moitsheki, Raseelo Joel

doi:10.5098/hmt.12.7

Cited by 12 publications

(7 citation statements)

References 12 publications

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“…e radial porous fin with variable thermal conductivity [16] could be reduced to model (1) if the thermal conductivity was supposed constant, and the fin was rectangular. Besides, if the moving porous fin [20] were made stationary under a steady-state regimen, or in a fully wet porous fin [15] if the wet fin parameter were made zero, model (1) would be recovered. e exact model (1) is employed in [21,22].…”

Section: Mechanical Modelmentioning

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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Section: Mechanical Modelmentioning

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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“…Aziz and Makinde (2010) examined the entropy generation and thermal performance of two-dimensional orthotropic pin fins used in advanced light weight heat sinks. The Darcy model and the LTE assumption were utilised for the research that was conducted by Ndlovu and Moitsheki (2018) on a porous pin fin that was subjected to natural convection heat transfer. The research conducted by Turkyilmazoglu (2018) focused on heat transmission from moving exponential fins that have internal heat production.…”

Section: Introductionmentioning

confidence: 99%

Analysis of heat transmission in convective, radiative and moving rod with thermal conductivity using meta-heuristic-driven soft computing technique

Khan

Sulaiman

Alshammari

2022

Struct Multidisc Optim

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The present study analyzes the thermal attribute of conductive, convective, and radiative moving fin with thermal conductivity and constant velocity. The basic Darcy's model is utilized to formulate the governing equation for the problem, which is further nondimensionalized using certain variables. Moreover, an effective soft computing paradigm based on the approximating ability of the feedforword artificial neural networks (FANN's) and meta-heuristic approach of global and local search optimization techniques is developed to quantify the effect of variations in significant parameters such as ambient temperature, radiation-conduction number, Peclet number, nonconstant thermal conductivity, and initial temperature parameter on the temperature gradient of the rod. The results by the proposed FANN-AOA-SQP algorithm are compared with radial basis function approximation, Runge-Kutta-Fehlberg method and machine-learning algorithms. An extensive graphical and statistical analysis based on solution curves and errors such as absolute errors, mean square error, standard deviations in Nash-Sutcliffe efficiency, mean absolute deviations, and Theil's inequality coefficient are performed to show the accuracy, ease of implementation, and robustness of the design scheme.

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“…The differential equation and associated boundary conditions are transformed into recurrence relations using this procedure, which eventually leads to the solution of a set of algebraic equations as coefficients of a power series solution. Many researchers have used this approach in recent years to solve the heat equations of the fluid flow [24,25] and fin problem [26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of a longitudinal fin under the influence of magnetic field using differential transform method with Pade approximant

Sowmya

Kumar²,

Srilatha

et al. 2022

Z Angew Math Mech

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The temperature distribution in a longitudinal fin with magnetic field due to conductive-convective-radiative heat transfer is debriefed in this research article. Thermal properties of the fin material, such as thermal conductivity and heat transfer coefficient, have been considered to vary non-linearly with local temperature whereas surface emissivity has been taken to be constant. The main governing equation of the current model is developed with the aid of Fourier's law of heat conduction, exponentially temperature-dependent thermal conductivity, Maxwell expression for the effect of the magnetic field, and powerlaw temperature-dependent heat transfer coefficient. This equation is converted into a non-dimensional form using dimensionless variables and then traced out numerically with the assist of Runge-Kutta Fehlberg's fourth-fifth method. Also, the transformed nonlinear energy equation is solved using a DTM-Pade approximant, yielding an approximate closed-form solution. The findings of the analytical and numerical investigation are depicted graphically. The outcomes have divulged that the convective and radiative parameters significantly decrease the temperature distribution and improve convective cooling from the fin surface. The rise in the Hartmann number is responsible for the decreasing of the temperature distribution and it aids in accelerating heat transfer.

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Thermal Analysis of Natural Convection and Radiation Heat Transfer in Moving Porous Fins

Cited by 12 publications

References 12 publications

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

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

Analysis of heat transmission in convective, radiative and moving rod with thermal conductivity using meta-heuristic-driven soft computing technique

Performance analysis of a longitudinal fin under the influence of magnetic field using differential transform method with Pade approximant

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