A bifurcation study of laminar thermal flow through a rotating curved duct with square cross-section

• Autorzy: Mondal R. N. , Roy S. C. , Datta A. K. , Uddin M. K.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a comprehensive numerical study is presented for the fully developed two-dimensional flow of viscous incompressible fluid through a rotating curved duct with square cross section. Numerical calculations are carried out by using a spectral method and covering a wide range of the Taylor number […] for two cases of the Dean numbers, Case I: and Case II: . A temperature difference is applied across the vertical sidewalls for the Grashof number , where the outer wall is heated and the inner one cooled. The positive rotation of the duct about the center of curvature is imposed, and the effects of rotation (Coriolis force) on the flow characteristics are investigated. As a result, two and three branches of asymmetric steady solutions with two-, three- and four-vortex solutions are obtained by using the Newton-Raphson iteration method. Linear stability of the steady solutions is then investigated. When there is no stable steady solution, time evolution calculations as well as their phase spaces are obtained and it is found that the periodic solution turns into transitional chaos or chaotic solution through multi-periodic oscillation, if is increased. Secondary flow patterns and temperature profiles characterizing the flow are also obtained.

Słowa kluczowe

EN

rotating curved duct; secondary flow; steady solutions; Dean number; Taylor number

PL

liczba Taylora; przepływ dwuwymiarowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 4
• Strony: 1193--1211
• Opis fizyczny: Bibliogr. 19 poz., tab., wykr.

Twórcy

autor

Mondal R. N.

autor

Roy S. C.

autor

Datta A. K.

autor

Uddin M. K.

• Mathematics Discipline; Science, Engineering and Technology School, Khulna University Khulna-9208, BANGLADESH,

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