A Simple Model for Transient Heat Conduction in an Infinite Cylinder With Convective Boundary Conditions

被引：5

作者：

Guellal, Messaoud ^{[1
]}

Sadat, Hamou ^{[2
]}

Prax, Christian ^{[3
]}

机构：

[1] Univ Setif, Lab Genie Proc Chim, Setif 19000, Algeria

[2] Univ Poitiers, Lab Etud Therm, F-86022 Poitiers, France

[3] Univ Poitiers, Lab Etud Aerodynam, F-86022 Poitiers, France

来源：

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 2009年 / 131卷 / 05期

关键词：

heat conduction; perturbation method; step response; cylinder; lumped capacitance model; SPHERE;

D O I：

10.1115/1.3082428

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A perturbation method is used to solve an unsteady one-dimensional heat conduction problem in a cylinder. A simple second order explicit solution is obtained. It is shown that this solution is accurate even for high values of the Biot number in a region surrounding the center of the cylinder.

引用

下载

页码：1 / 4

页数：4

共 50 条

[1] A second order model for transient heat conduction in a slab with convective boundary conditions
Sadat, H
APPLIED THERMAL ENGINEERING, 2006, 26 (8-9) : 962 - 965
[2] Analysis of transient heat conduction in tubes under convective boundary conditions
Camaraza-Medina, Yanan
Hernandez-Guerrero, Abel
Luviano-Ortiz, Jose L.
HEAT TRANSFER, 2024,
[3] Solutions for transient heat conduction with solid body motion and convective boundary conditions
McMasters, Robert L.
Beck, James V.
PROCEEDINGS OF THE ASME/JSME THERMAL ENGINEERING SUMMER HEAT TRANSFER CONFERENCE 2007, VOL 1, 2007, : 175 - 185
[4] Solutions for transient heat conduction with solid body motion and convective boundary conditions
McMasters, Robert L.
Beck, James V.
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2008, 130 (11): : 1 - 8
[5] Transient heat conduction in infinite hollow confocal elliptical cylinder
Sato, Kenzo
Theoretical and Applied Mechanics Japan, 2010, 58 : 167 - 175
[6] TRANSIENT HEAT CONDUCTION WITH TIME DEPENDENT BOUNDARY CONDITIONS
LIU, CY
HOPPER, AT
HULBERT, LE
MECHANICAL ENGINEERING, 1969, 91 (11) : 70 - &
[7] EQUIVALENCE OF TRANSIENT HEAT GENERATION AND TRANSIENT SURFACE TEMPERATURE BOUNDARY CONDITIONS IN HEAT CONDUCTION
FRIEDLAND, AJ
NUCLEAR ENGINEERING AND DESIGN, 1971, 16 (02) : 151 - +
[8] Incorporating boundary conditions in the heat conduction model
Bertola, V.
Cafaro, E.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (3-4) : 644 - 646
[9] Analytical and numerical solutions for transient heat conduction in an infinite geometry with heat source subjected to heterogeneous boundary conditions of the third kind
Mehdi Zare
Sadegh Sadeghi
Qingang Xiong
Journal of Thermal Analysis and Calorimetry, 2021, 143 : 725 - 736
[10] Analytical and numerical solutions for transient heat conduction in an infinite geometry with heat source subjected to heterogeneous boundary conditions of the third kind
Zare, Mehdi
Sadeghi, Sadegh
Xiong, Qingang
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY, 2021, 143 (01) : 725 - 736

← 1 2 3 4 5 →