Exact solutions of the Rayleigh-Stokes problem for a heated generalized second grade fluid in a porous half-space

被引：52

作者：

Xue, Changfeng ^{[1
]}

Nie, Junxiang ^{[2
]}

机构：

[1] Yancheng Inst Technol, Dept Fundamental Sci, Jiangsu 224003, Peoples R China

[2] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fractional calculus; Generalized second grade fluid; Porous medium; Rayleigh-Stokes problem; Heat transfer; VISCOELASTIC FLUID; VISCOUS DISSIPATION; FORCED-CONVECTION; 2ND-ORDER FLUID; UNSTEADY FLOWS; MAXWELL MODEL; VELOCITY; MOTION; TEMPERATURE; PLATE;

D O I：

10.1016/j.apm.2007.11.015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Rayleigh-Stokes problem for a generalized second grade fluid in a porous half-space with a heated flat plate is investigated. For the description of such a viscoelastic fluid, a fractional calculus approach in the constitutive relationship model is used. By using the Fourier sine transform and the fractional Laplace transform, exact solutions of the velocity and temperature fields are obtained, from which some classical results can be recovered. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：524 / 531

页数：8

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