Oscillatory natural convection of water‐glycerin mixture in a tall rectangular cavity: Transition to the chaos. Issue 8 (17th July 2018)

• Record Type: Journal Article
• Authors: Al‐Rashed, Abdullah A.A.A.; Hassen, Walid; Aich, Walid; Kolsi, Lioua; Ayadi, Badreddine; Borjini, Mohamed Naceur
• Is Part Of: Heat transfer - Asian research. Volume 47:Issue 8(2018)
• Page Start: 943
• Page End: 956
• Publication Date: 2018-07-17
• Subjects: aspect ratio -- chaotic flow -- flow bifurcation -- natural convection -- oscillations -- tall cavity; Heat -- Transmission -- Periodicals; Electronic journals; 621.4022
• DOI: 10.1002/htj.21359
• Languages: English
• ISSNs: 1099-2871

Abstract

Abstract: This paper presents results of a numerical investigation involving bifurcation sequence leading to chaos in natural convection inside a vertically tall rectangular cavity having an aspect ratio equal to 15 and a Prandtl number equal to 125, corresponding to water‐glycerin mixture. The flow is characterized by a vertical stratification of the temperature field for Grashof numbers greater than or equal to 200 that is outside the conduction regime and it is stationary monocellular up to a critical value Grc = 2800 where a periodic oscillatory regime appears. As Grashof number is increased, a transition from a steady periodic bicellular flow to an oscillatory multicellular flow, with 2 main central cells and 2 secondary cells, occurs. The regime remains periodic until Gr = 3100 where there is a first appearance of the chaotic regime which extends over a narrow interval of the Grashof number delimited by Gr = 3200.