Convective-radiative moving porous fin with temperature-dependent thermal conductivity, heat transfer coefficient and wavelength-dependent surface emissivity

IF 1.7 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
Parvinder Kaur, Surjan Singh
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Abstract

PurposeIn this paper, temperature distribution and fin efficiency in a moving porous fin have been discussed. The heat transfer equation is formulated by using Darcy's model. Heat transfer coefficient and thermal conductivity vary with temperature. The surface emissivity of the fin varies with temperature as well as with wavelength. Thermal conductivity is taken as a linear and quadratic form of temperature. The entire analysis of the paper is presented in non-dimensional form.Design/methodology/approachIn this study, a new mathematical model is investigated. The novelty of this model is surface emissivity which is considered temperature and wavelength dependent. Another interesting point is the addition of porous material. The Legendre wavelet collocation method has been used to solve the nonlinear heat transfer equation. Numerical simulations are carried out in MATLAB software.FindingsAn attempt has been made to discuss temperature distribution in the presence of porosity and wavelength-temperature-dependent surface emissivity. The effect of various parameters on temperature has been discussed, including thermal conductivity, emissivity, convection-radiation, Peclet number, sink temperature, exponent “n” and porosity. Fin efficiency is also calculated for some parameters. According to the study, heat transfer rate increases with higher radiation-convection, emissivity, wavelength and porosity parameters.Originality/valueThe numerical results are carried out by using the Legendre wavelet collocation method, which has been compared with exact results in a particular case and found to be in good agreement. The percent error is calculated to find the error between the current method and the exact result. A comparison of the obtained results with the previous data is presented to validate the numerical results.
具有温度相关导热系数、传热系数和波长相关表面发射率的对流辐射移动多孔翅片
目的研究了移动多孔翅片的温度分布和翅片效率。采用达西模型建立了传热方程。传热系数和导热系数随温度的变化而变化。翅片的表面发射率随温度和波长而变化。导热系数是温度的线性和二次形式。本文的整个分析以无量纲形式呈现。在这项研究中,研究了一种新的数学模型。该模型的新颖之处在于表面发射率,它被认为与温度和波长有关。另一个有趣的地方是多孔材料的加入。用勒让德小波配置法求解了非线性传热方程。在MATLAB软件中进行了数值模拟。我们试图讨论孔隙率和波长温度相关的表面发射率存在时的温度分布。讨论了热导率、发射率、对流辐射、佩莱特数、汇温、指数n和孔隙率等参数对温度的影响。计算了一些参数下的翅片效率。研究表明,传热速率随辐射对流、发射率、波长和孔隙率参数的增大而增大。采用勒让德小波配置法进行了数值计算,并与具体算例的精确结果进行了比较,两者吻合较好。计算误差百分比是为了找出当前方法与确切结果之间的误差。将所得结果与以往的数据进行了比较,验证了数值结果的正确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
3.70
自引率
5.00%
发文量
60
期刊介绍: Multidiscipline Modeling in Materials and Structures is published by Emerald Group Publishing Limited from 2010
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