ON ONE METHOD OF SOLVING NONSTATIONARY HEAT-CONDUCTION PROBLEMS FOR MULTILAYER STRUCTURES

被引：3

作者：

Kudinov, V. A. ^{[1
]}

Dikop, V. V. ^{[1
]}

Nazarenko, S. A. ^{[1
]}

Stefanyuk, E. V. ^{[1
]}

机构：

[1] Samara State Tech Univ, 244 Molodogvardeiskaya Str, Samara 443100, Russia

来源：

JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS | 2005年 / 78卷 / 02期

关键词：

D O I：

10.1007/s10891-005-0052-3

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

As applied to the solution of the heat-conduction problem for a two-layer structure, the Fourier method is used jointly with the orthogonal Bubnov-Galerkin method. An important feature is the introduction of additional boundary conditions, the need for which is explained by the appearance of an additional parameter mu after the separation of the variables in the input differential equation. The additional boundary conditions are derived from the basic differential equation by differentiating it at the boundary points.

引用

页码：225 / 230

页数：6

共 50 条

[1] ONE VARIATION METHOD FOR SOLVING PROBLEMS OF NONSTATIONARY HEAT-CONDUCTION
SHEVCHENKO, JN
PROKHORENKO, IV
SAVCHENKO, VG
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1977, (09): : 816 - 821
[2] A METHOD OF SOLVING A NONSTATIONARY HEAT-CONDUCTION PROBLEM
LITVIN, ON
[J]. DIFFERENTIAL EQUATIONS, 1981, 17 (06) : 703 - 707
[3] COORDINATE SYSTEM CONSTRUCTION DURING THE SOLVING OF HEAT-CONDUCTION PROBLEMS FOR MULTILAYER STRUCTURES
KUDINOV, VA
ROSLYAKOV, AD
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII AVIATSIONAYA TEKHNIKA, 1986, 3 : 66 - 69
[4] The effectiveness of using one variant of the finite-element method for solving nonlinear nonstationary heat-conduction problems
V. A. Dutka
[J]. Journal of Engineering Physics and Thermophysics, 1997, 70 (2) : 283 - 289
[5] Evaluation of the error of the method of superpositions of one-dimensional solutions in nonstationary heat-conduction problems
Chernyshov A.D.
Dan'shin A.A.
Chernyshov N.A.
[J]. Journal of Engineering Physics and Thermophysics, 2004, 77 (4) : 707 - 711
[6] APPROXIMATE METHOD FOR SOLVING HEAT-CONDUCTION PROBLEMS IN MULTILAYERED SOLIDS
ROIZEN, LI
[J]. HIGH TEMPERATURE, 1981, 19 (04) : 606 - 614
[7] ADDENDUM TO EIGENVALUE METHOD FOR SOLVING TRANSIENT HEAT-CONDUCTION PROBLEMS
LANDRY, DW
KAPLAN, B
[J]. NUMERICAL HEAT TRANSFER, 1986, 9 (02): : 247 - 249
[8] A MONTE-CARLO METHOD OF SOLVING HEAT-CONDUCTION PROBLEMS
FRALEY, SK
HOFFMAN, TJ
STEVENS, PN
[J]. JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1980, 102 (01): : 121 - 125
[9] A BOUNDARY RESIDUAL METHOD WITH HEAT POLYNOMIALS FOR SOLVING UNSTEADY HEAT-CONDUCTION PROBLEMS
YANO, H
FUKUTANI, S
KIEDA, A
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1983, 316 (04): : 291 - 298
[10] SOLUTION OF NONSTATIONARY HEAT-CONDUCTION PROBLEMS BY A VARIATIONAL FINITE-DIFFERENCE METHOD
GOLOVIZNIN, VM
RYAZANOV, MA
[J]. DIFFERENTIAL EQUATIONS, 1983, 19 (05) : 631 - 640

← 1 2 3 4 5 →