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2016 Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source
B. S. Bhadauria
J. Appl. Math. 2016: 1-18 (2016). DOI: 10.1155/2016/1487616

Abstract

Chaotic convection in a viscoelastic fluid saturated porous layer, heated from below, is studied by using Oldroyd’s type constituting relation and in the presence of an internal heat source. A modified Darcy law is used in the momentum equation, and a heat source term has been considered in energy equation. An autonomous system of fourth-order differential equations has been deduced by using a truncated Fourier series. Effect of internal heat generation on chaotic convection has been investigated. The asymptotic behavior can be stationary, periodic, or chaotic, depending upon the flow parameters. Construction of four-scroll, or “two-butterfly,” and chaotic attractor has been examined.

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B. S. Bhadauria. "Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source." J. Appl. Math. 2016 1 - 18, 2016. https://doi.org/10.1155/2016/1487616

Information

Received: 12 October 2015; Revised: 5 January 2016; Accepted: 28 January 2016; Published: 2016
First available in Project Euclid: 13 April 2016

zbMATH: 07037263
MathSciNet: MR3476161
Digital Object Identifier: 10.1155/2016/1487616

Rights: Copyright © 2016 Hindawi

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