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Green's function solution for transient heat conduction in annular fin during solidification of phase change material

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Applied Mathematics and Mechanics(English Edition) 2012年第10期33卷 1265-1274页

作者： A.H.MOSAFFA F.TALATI M.A.ROSEN H.BASIRAT-TABRIZI Faculty of Mechanical Engineering University of Tabriz Faculty of Engineering and Applied Science University of Ontario Institute of TechnologyL1H 7K4 OshawaOntarioCanada Department of Mechanical Engineering Amirkabir University of Technology

The Green＇s function method is applied for the transient temperature of an annular fin when a phase change material （PCM） solidifies on it. The solidification of the PCMs takes place in a cylindrical shell storage. The thickness of the solid PCM on the fin varies with time and is obtained by the Megerlin method. The models are found with the Bessel equation to form an analytical solution. Three different kinds of boundary conditions are investigated. The comparison between analytical and numerical solutions is given. The results demonstrate that the significant accuracy is obtained for the temperature distribution for the fin in all cases.

关键词： annular fin analytical solution Green's function phase change material(PCM) solidification thermal energy storage

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Significance of thermal stress in a convectiveradiative annular fin with magnetic field and heat generation: application of DTM and MRPSM

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Propulsion and Power Research 2022年第4期11卷 527-543页

作者： Ganeshappa Sowmya Fehmi Gamaoun Amal Abdulrahman Ravikumar Shashikala Varun Kumar Ballajja Chandrappa Prasannakumara Department of Mathematics M S Ramaiah Institute of TechnologyBangalore-560054Karnataka560070India Department of Mechanical Engineering College of EngineeringKing Khalid UniversityAbha61421Saudi Arabia Department of Chemistry College of Science King Khalid UniversityAbha61421Saudi Arabia Department of Studies in Mathematics Davangere UniversityDavangereKarnataka577002India

The present paper explains the temperature attribute of a convective-radiative rectangular profiled annular fin with the impact of magnetic *** effect of thermal radiation,convection,and magnetic field on thermal stress distribution is also studied in this *** governing energy equation representing the steady-state heat conduction,convection,and radiation process is transformed into its dimensionless nonlinear ordinary differential equation(ODE)with corresponding boundary conditions using non-dimensional *** obtained ODE is then solved analytically by employing the Pade approximant-differential transform method(DTM)and modified residual power series method(MRPSM).Moreover,the important characteristics of the temperature field,the thermal stress,and the impact of some nondimensional parameters are inspected graphically,and a physical explanation is provided to aid in *** significant findings of the investigation reveal that temperature distribution enhances with an increase in the magnitude of the heat generation parameter and thermal conductivity parameter,but it gradually decreases with an increment of convectiveconductive parameter,Hartmann number,and radiative-conductive *** thermal stress distribution of the fin varies considerably in the applied magnetic field effect.

关键词： annular fin Differential transform method(DTM) Magnetic field Modified residual power series method(MRPSM) Radiative heat transfer

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Heat transfer simulation of annular elliptical fin-and-tube heat exchanger by transition SST model

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Journal of Central South University 2020年第8期27卷 2324-2337页

作者： H NEMATI A R RAHIMZADEH WANG Chi-chuan Department of Mechanics Marvdasht BranchIslamic Azad UniversityMarvdashtIran Mechanical Engineering Islamic Azad UniversityBushehr branchBushehrIran Department of Mechanical Engineering National Chiao Tung UniversityHsinchu 300TaiwanChina

In this study,thermo-fluid characteristics of elliptical annular finned tube heat exchanger were numerically studied in *** SST model was utilized to simulate turbulent *** of air velocities,horizontal to vertical fin diameter ratios,and fin densities were examined in *** simulations indicate superior performance of elliptical fin *** was shown that pressure drop of annular elliptical fin can be only one half of that of a circular annular fin while containing comparable heat transfer *** vertical elliptical annular fin may even contain a higher heat transfer performance over circular *** are proposed to estimate the Nu number and pressure drop based on the annular circular *** maximum deviations between the proposed correlations and simulations regarding pressure drop and heat transfer coefficient are 5.6%and 3.2%,*** further elaboration of the superiority of the elliptical layout from the second law perspective,normalized entropy generation was also *** all cases,the entropy generation rate in circular fin was higher than that of an elliptical fin.

关键词： annular fin elliptical fin entropy generation transition SST model tube bundle

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Thermal analysis of annular fins with temperature-dependent thermal properties

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Applied Mathematics and Mechanics(English Edition) 2013年第11期34卷 1349-1360页

作者： I. G. AKSOY Department of Mechanical Engineering Inonu University

The thermal analysis of the annular rectangular profile fins with variable thermal properties is investigated by using the homotopy analysis method （HAM）. The thermal conductivity and heat transfer coefficient are assumed to vary with a linear and power-law function of temperature, respectively. The effects of the thermal-geometric fin parameter and the thermal conductivity parameter variations on the temperature distribution and fin efficiency are investigated for different heat transfer modes. Results from the HAM are compared with numerical results of the finite difference method （FDM）. It can be seen that the variation of dimensionless parameters has a significant effect on the temperature distribution and fin efficiency.

关键词： annular fin variable thermal property homotopy analysis method

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