One-dimensional unsteady flow from a cylindrical draining tank

被引：1
|
作者：
Marotta, Sebastian M. [1 ,2 ]
Geeter, Chris [3 ,4 ]
Huynh, Richard [3 ,5 ]
机构：
[1] Inst Hidrol Llanuras Dr EJ Usunoff IHLLA, Azul, Argentina
[2] Univ Argentina Empresa UADE, Comis Invest Cient Prov Buenos Aires CICPBA, Buenos Aires, DF, Argentina
[3] Univ Pacific, Stockton, CA 95211 USA
[4] Lockheed Martin, Bethesda, MD USA
[5] E&J, Livingston, CA USA
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2022年 / 28卷 / 01期
关键词：
Draining tanks; Fluid dynamics; Nonlinear ordinary differential equations; Changes of variables; Integration;
D O I：
10.1007/s40590-022-00417-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the differential equation that corresponds to the one-dimensional frictionless unsteady flow model of a cylindrical draining tank. We survey previous results, solve the equation applying new changes of variables and procedures, and present new exact elementary solutions. The problem provides an excellent example of application that is accessible to undergraduate students after a first course on differential equations.
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页数：20
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