AN INTEGRAL TRANSFORM APPLIED TO SOLVE THE STEADY HEAT TRANSFER PROBLEM IN THE HALF-PLANE

被引：0

作者：

Xia, Tongqiang ^{[1
]}

Yan, Shengping ^{[2
]}

Liang, Xin ^{[2
]}

Zhang, Pengjun ^{[1
]}

Liu, Chun ^{[3
]}

机构：

[1] China Univ Min & Technol, Sch Elect & Power Engn, Xuzhou, Peoples R China

[2] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou, Peoples R China

[3] China Univ Min & Technol, LoT Percept Mine Res Ctr, Xuzhou, Peoples R China

来源：

THERMAL SCIENCE | 2017年 / 21卷

关键词：

heat transfer; Laplace equation; analytic solution; integral transform;

D O I：

10.2298/TSCI17S1105X

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

An integral transform operator u[Pi(t)] = 1/lambda integral(infinity)(-infinity) Pi(t)e(-i lambda t) dt is considered to solve the steady heat transfer problem in this paper. The analytic technique is illustrated to be applicable in the solution of a 1-D Laplace equation in the half-plane. The results are interesting as well as potentially useful in the linear heat transfer problems.

引用

页码：S105 / S111

页数：7

共 16 条

[1] A FRACTIONAL LAPLACE EQUATION: REGULARITY OF SOLUTIONS AND FINITE ELEMENT APPROXIMATIONS [J].

Acosta, Gabriel ;

Pablo Borthagaray, Juan .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 55 (02) :472-495

[2]

[Anonymous], 2015, LOCAL FRACTIONAL INT

[3]

Debnath L., 2014, Integral Transforms and Their Applications

[4]

DOMENICO PA, 1973, GEOL SOC AM BULL, V84, P3803, DOI 10.1130/0016-7606(1973)84<3803:TAOFCH>2.0.CO

[5]

[6] Applications of a novel integral transform to partial differential equations [J].

Liang, Xin ;

Gao, Feng ;

Gao, Ya-Nan ;

Yang, Xiao-Jun .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02) :528-534

[7]

Pletcher R.H., 2012, Computational Fluid Mechanics and Heat Transfer

[8] SLOW FLOW PAST PERIODIC ARRAYS OF CYLINDERS WITH APPLICATION TO HEAT-TRANSFER [J].

SANGANI, AS ;

ACRIVOS, A .

INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 1982, 8 (03) :193-206

[9] Fractional Laplacian equations with critical Sobolev exponent [J].

Servadei, Raffaella ;

Valdinoci, Enrico .

REVISTA MATEMATICA COMPLUTENSE, 2015, 28 (03) :655-676

[10] WEAK AND VISCOSITY SOLUTIONS OF THE FRACTIONAL LAPLACE EQUATION [J].

Servadei, Raffaella ;

Valdinoci, Enrico .

PUBLICACIONS MATEMATIQUES, 2014, 58 (01) :133-154

← 1 2 →