A complete general solution of the unsteady Brinkman equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:461

Article

Tumuluri, Suman Kumar¹  Amaranath, T.¹ 

[1] Univ Hyderabad, Sch Math & Stat, Hyderabad, Andhra Prades, India

关键词: Stokes flows;    Brinkman equations;    Heat operator;    Factorization of operators;   

DOI  :  10.1016/j.jmaa.2018.01.043

来源: Elsevier

【 摘 要 】

In this paper, we present a complete general solution of the unsteady Brinkman equations. To this end, we introduce a representation for velocity and pressure in terms of two scalar functions. One of these scalar functions satisfies a second order partial differential equation (PDE) while the other satisfies a fourth order PDE which can be factorized into a pair of second order PDEs. We show that the solution of this fourth order PDE is indeed the sum of the solutions of the two second order PDEs. We also use these solutions to obtain a complete general solution of the unsteady Brinkman equations. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free