Steady Heat Conduction of a Disc with Non-Homogeneity and Variable Thickness

Yeh Kai-yuan; Liu Ping

Volume 5 Issue 5

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1984 > 5(5): 619-624

Yeh Kai-yuan, Liu Ping. Steady Heat Conduction of a Disc with Non-Homogeneity and Variable Thickness[J]. Applied Mathematics and Mechanics, 1984, 5(5): 619-624.

Citation:

Yeh Kai-yuan, Liu Ping. Steady Heat Conduction of a Disc with Non-Homogeneity and Variable Thickness[J]. Applied Mathematics and Mechanics, 1984, 5(5): 619-624.

Citation:

Yeh Kai-yuan, Liu Ping. Steady Heat Conduction of a Disc with Non-Homogeneity and Variable Thickness[J]. Applied Mathematics and Mechanics, 1984, 5(5): 619-624.

PDF( 346 KB)

Steady Heat Conduction of a Disc with Non-Homogeneity and Variable Thickness

Lanzhou University, Lanzhou

Received Date: 1984-01-06
Publish Date: 1984-10-15

Abstract

Abstract

In this paper,we use the stepped reduction method suggested by Yeh Kai-yuan in 1965 to obtain the general oslution of steady heat conduction of a disc with nonhomogeneity and variable thickness. Through an illustrative example,the error of Yeh's method is analysed. The result shows that it is effective for solving ordinary differential equation with variable coefficients.

FullText(HTML)

References(4)

References

[1]	叶开沅、许剑云,非均匀变厚度弹性体力学的若干问题的一般解 Ⅰ.在非均匀定常温度场下的非均匀变厚度高速度旋转圆盘的弹塑性应力分析.兰州大学学报(自然科学版).力学专号,1(1979).60-74;力学学报.专号.(1981).78-89.
[2]	王竹溪、郭敦仁,《特殊函数概论》,科学出版社,(1979).
[3]	竹内洋一郎,《热应力》.科学出版社,(1977).
[4]	Carslaw,H,S,and J,C,Jaeger,Conduction of Head in Solids,Oxford(1959).

Relative Articles

[1]	PENG Xulong, HUANG Haiping, LI Jinbao, CHEN Yang, CHEN Ziguang. Elastic Analysis of Anisotropic Functionally Graded Rotating Disks With Non-Uniform Thicknesses[J]. Applied Mathematics and Mechanics, 2022, 43(10): 1146-1154. doi: 10.21656/1000-0887.430032
[2]	Muhammad Ashraf, A.R.Wehgal. MHD Flow and Heat Transfer of a Micropolar Fluid Between Two Porous Disks[J]. Applied Mathematics and Mechanics, 2012, 33(1): 48-60. doi: 10.3879/j.issn.1000-0887.2012.01.005
[3]	A. M. Zenkour. Stresses in a Rotating Heterogeneous Viscoelastic Composite Cylinder With Variable Thickness[J]. Applied Mathematics and Mechanics, 2011, 32(4): 483-496. doi: 10.3879/j.issn.1000-0887.2011.04.010
[4]	J. C. Umavathi, I. C. Liu, J. Prathap Kumar, D. Shaik Meera. Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids[J]. Applied Mathematics and Mechanics, 2010, 31(12): 1415-1434. doi: 10.3879/j.issn.1000-0887.2010.12.003
[5]	Faiza A. Salama. Effect of Thermal Conductivity on Heat Transfer for a Power-Law Non-Newtonian Fluid Over a Continuous Stretched Surface With Various Injection Parameter[J]. Applied Mathematics and Mechanics, 2010, 31(8): 917-923. doi: 10.3879/j.issn.1000-0887.2010.08.004
[6]	LIU Xin-jian, YUAN Tian-bao. Effects of Unsteady Deformation of a Flapping Wing on Its Aerodynamic Forces[J]. Applied Mathematics and Mechanics, 2008, 29(6): 663-675.
[7]	Chang Fuqing, Xu Yaoling, Bai Xiangzhong. Nonlinear Problems of Current-Carrying Round Plates with Varying Thickness in the Electromagnetic Field[J]. Applied Mathematics and Mechanics, 1997, 18(4): 331-339.
[8]	He Linghui, Cheng Zhenqiang, Liu Renhuai. Investigation on the Effective Conductivities of Carbon/Carhon Fiber Composites with Inhomogeneous Interphase[J]. Applied Mathematics and Mechanics, 1997, 18(3): 193-201.
[9]	Wang Famin, Zhao Lie, Yu Xin. Stability Study of an Unsteady Oscillation Flow[J]. Applied Mathematics and Mechanics, 1996, 17(3): 271-282.
[10]	Wang Mingrui, Jin Hui. An Analytical Solution of Heat Conduction on a Locally Nonvniformly Heated Surface of a Plale with Finite Thickness[J]. Applied Mathematics and Mechanics, 1996, 17(5): 465-470.
[11]	Wu Wei-xiong. Finite Element Analysis for the Unsteady Nearshore Circulation Due to Wave-Current Interaction(Ⅰ)──Nnmerical Model[J]. Applied Mathematics and Mechanics, 1994, 15(8): 713-718.
[12]	Gao Zheng-hong. Unsteady Transonic Aerodynamic Loadings on the Airfoil Caused by Heaving, Pitching Oscillations and Control Surface[J]. Applied Mathematics and Mechanics, 1992, 13(9): 775-783.
[13]	Wu Qing-song, Wang Bo-yi. Numerical Simulation of 1-D Unsteady Two-Phase Flows with Shocks[J]. Applied Mathematics and Mechanics, 1992, 13(7): 605-611.
[14]	Yeh Kai-yuan, Tong Xiao-hua, Ji Zhen-yi. General Analytic Solution of Dynamic Response of Beams with Nonhomogeneity and Variable Cross Section[J]. Applied Mathematics and Mechanics, 1992, 13(9): 753-764.
[15]	Zhou Zhe-wei. The Linear Stability of PSane Poiseuille Flow under Unsteady Distortion[J]. Applied Mathematics and Mechanics, 1991, 12(6): 509-514.
[16]	Xu Yin-ge, Zhang Yi-song. The Finite Dynamic Annular Element for the Vibration Analysis of Variable Thickness Discs[J]. Applied Mathematics and Mechanics, 1988, 9(8): 703-712.
[17]	Yeh Kai-yuan, Wang Ying-bang. Bending Problem of Rectangular Plates of UnidirectionalNonhomogeneity and Variable Thickness with Two Opposite Edges Simply Supported underArbitrary Distributed Loads[J]. Applied Mathematics and Mechanics, 1986, 7(10): 887-895.
[18]	Yhe Kai-yuan, Liu Ping. Equi-Strength Design of Nonhomogeneous Variable Thickness High Speed Rotating Disk under Steady Temperature Field[J]. Applied Mathematics and Mechanics, 1986, 7(9): 769-778.
[19]	Chen Y. M. The Three-Dimensional Unsteady Boundary Layer over an Impulsively Started Rotating Disk[J]. Applied Mathematics and Mechanics, 1985, 6(10): 901-904.
[20]	Dai Shi-qiang, Li Jia-chun. Homogenized Equations for Steady Heat Conduction in Composite Materials with Dilutely Distributed Impurities[J]. Applied Mathematics and Mechanics, 1983, 4(2): 159-164.