Transformations, properties, and exact solutions of nonstationary axisymmetric boundary-layer equations

被引：4

作者：

Polyanin, A. D. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Ishlinskii Inst Problems Mech, Moscow 119526, Russia

[2] Natl Res Nucl Univ MEPhI, Moscow 115409, Russia

来源：

THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING | 2015年 / 49卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

nonstationary axisymmetric boundary-layer equations; two-dimensional boundary-layer equations; exact solutions; generalized separable solutions; functional separable solutions; fluid flows with a pressure gradient; NAVIER-STOKES EQUATIONS; SPECIAL EXPLICIT SOLUTIONS; SIMILARITY REDUCTIONS; NONLINEAR EQUATIONS; CONSTRUCTION;

D O I：

10.1134/S004057951504034X

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

A nonstationary axisymmetric boundary-layer equation with a pressure gradient, which is written for the stream function, has been studied. It has been shown that this equation can be reduced to a twodimensional boundary-layer equation with variable viscosity that depends on a longitudinal coordinate. A series of new exact generalized and functional separable solutions that admit representation in elementary functions has been described. All of the solutions contain several (two to five) arbitrary functions. Formulas have been given that make it possible to generalize exact solutions to nonstationary axisymmetric boundarylayer equations by introducing additional arbitrary functions. The results are valid for any shape of a body of revolution (or a circular tube with a variable section) in a fluid flow.

引用

页码：406 / 413

页数：8

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