Open Access
May 2017 A Simple Pure Water Oscillator
S. Lakshmivarahan, N. Trung, Barry Ruddick
Missouri J. Math. Sci. 29(1): 50-79 (May 2017). DOI: 10.35834/mjms/1488423702

Abstract

In this paper we analyze the properties of a pure water oscillator by considering the pure water lake as a well mixed two layered system. While there is heating of and evaporation from the shallow top layer, the temperature of the deep bottom layer is assumed to be constant. By exploiting the nonlinear dependence of the density of pure water on temperature, we describe two complementary mathematical models to capture the vertical instability resulting from the variation of the density of the top layer with temperature.

Citation

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S. Lakshmivarahan. N. Trung. Barry Ruddick. "A Simple Pure Water Oscillator." Missouri J. Math. Sci. 29 (1) 50 - 79, May 2017. https://doi.org/10.35834/mjms/1488423702

Information

Published: May 2017
First available in Project Euclid: 2 March 2017

zbMATH: 1369.86002
MathSciNet: MR3619776
Digital Object Identifier: 10.35834/mjms/1488423702

Subjects:
Primary: 34C15
Secondary: 35F50

Keywords: density of pure water , two layered system , vertical instability

Rights: Copyright © 2017 Central Missouri State University, Department of Mathematics and Computer Science

Vol.29 • No. 1 • May 2017
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