A Plane steady heat conduction problem

1966 ◽  
Vol 10 (2) ◽  
pp. 163-166 ◽  
Author(s):  
Yu. Ya. Iossel ◽  
R. A. Pavlovskii
Keyword(s):  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Steady Heat Conduction ◽  
Steady Heat

scholarly journals Local fractional Euler’s method for the steady heat-conduction problem

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 735-738 ◽  
Author(s):  
Feng Gao ◽  
Xiao-Jun Yang
Keyword(s):  
Heat Conduction ◽  
Exact Solutions ◽  
Numerical Solution ◽  
Heat Conduction Problem ◽  
Relaxation Equation ◽  
Euler’S Method ◽  
Steady Heat Conduction ◽  
First Time ◽  
Steady Heat

In this paper, the local fractional Euler?s method is proposed to consider the steady heat-conduction problem for the first time. The numerical solution for the local fractional heat-relaxation equation is presented. The comparison between numerical and exact solutions is discussed.

Steady heat-conduction problem for a double cylinder

1974 ◽  
Vol 26 (2) ◽  
pp. 238-245 ◽  
Author(s):  
I. E. Zino ◽  
Yu. A. Sokovishin
Keyword(s):  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Steady Heat Conduction ◽  
Steady Heat

scholarly journals Local fractional functional decomposition method for solving local fractional Poisson equation in steady heat-conduction problem

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 785-788
Author(s):  
Xiao-Ying Wang
Keyword(s):  
Differential Equation ◽  
Heat Conduction ◽  
Analytical Solution ◽  
Poisson Equation ◽  
Decomposition Method ◽  
Heat Conduction Problem ◽  
Functional Decomposition ◽  
Steady Heat Conduction ◽  
Steady Heat ◽  
Fractional Functional

The steady heat-conduction problem via local fractional derivative is investigated in this paper. The analytical solution of the local fractional Poisson equation is obtained. The local fractional functional decomposition method is proposed to find the analytical solution of the partial differential equation in the steady heat-conduction problem.

Numerical Analysis for Thermal Deformation of Workpiece in Cylindrical Plunge Grinding

2008 ◽  
Vol 389-390 ◽  
pp. 114-119 ◽  
Author(s):  
Hiroyuki Hasegawa ◽  
Suritalatu ◽  
Moriaki Sakakura ◽  
Shinya Tsukamoto
Keyword(s):  
Heat Conduction ◽  
Numerical Analysis ◽  
Thermal Deformation ◽  
Heat Conduction Problem ◽  
Dimensional Accuracy ◽  
Plunge Grinding ◽  
Practical Applications ◽  
Grinding Machines ◽  
Steady Heat Conduction ◽  
Steady Heat

During the last decades, heat generation in grinding is one of the top concerns because high temperature under fabrication leads to less dimensional accuracy of a workpiece. Several studies with regard to grinding heat have been carried out, focused on micro phenomena of abrasive grains or macro phenomena of thermal deformation in grinding machines. However, these researches have been extensive, schematized information such as thermal deformation, and grinding temperature is indispensable for practical applications. In this study, we combined the simulation model of the plunge grinding process and the numerical analysis method with the differencing technique for the non-steady heat conduction problem, and have constructed the simulation technique for analyzing the heat problem in the workpiece. The simulation results provided information of the heat conduction, and the thermal deformation of the workpiece.

scholarly journals The non-differentiable solution for local fractional Laplace equation in steady heat-conduction problem

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 769-772 ◽  
Author(s):  
Jie-Dong Chen ◽  
Hua-Ping Li
Keyword(s):  
Heat Conduction ◽  
Fractional Derivative ◽  
Laplace Equation ◽  
Characteristic Equation ◽  
Heat Conduction Problem ◽  
Equation Method ◽  
Differentiable Solution ◽  
Fractal Media ◽  
Steady Heat Conduction ◽  
Steady Heat

In this paper, we investigate the local fractional Laplace equation in the steady heat-conduction problem. The solutions involving the non-differentiable graph are obtained by using the characteristic equation method (CEM) via local fractional derivative. The obtained results are given to present the accuracy of the technology to solve the steady heat-conduction in fractal media.

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