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ISSN オンライン: 2642-0554

EXPERIMENTAL AND NUMERICAL INVESTIGATION OF THE SHEAR-DRIVEN FLOW IN A TOROID OF SQUARE CROSS-SECTION

Joseph A. C. Humphrey
Department of Mechanical and Aerospace Engineering University of Virginia Charlottesville, VA 22904, USA

Joshua Cushner
Department of Mechanical and Aerospace Engineering University of Virginia Charlottesville, VA 22904, USA

Ranga Sudarsan
Department of Mechanical and Aerospace Engineering University of Virginia Charlottesville, VA 22904, USA

Mohammad Al-Shannag
Department of Chemical Engineering University of Rovira i Virgili 43006 Tarragona, Catalunya Spain

Joan Herrero
Department of Chemical Engineering University of Rovira i Virgili 43006 Tarragona, Catalunya Spain

Francesc Giralt
Department d'Enginyeria Quimica University of Rovira i Virgili 43006 Tarragona, Catalunya Spain

要約

It is shown that the two-dimensional shear-driven flow in a plane square enclosure is a limiting case of the more general shear-driven flow that can be realized experimentally in a toroid of square cross-section. Visualization and calculations of the flow in a toroid reveal many of the features displayed by sheared fluids in finite-length parallelepipeds, as well as new findings. These include the appearance of Goertler vortices and flow unsteadiness as precursors for laminar to turbulent flow transition, and the occurrence of an oscillatory state of fluid motion not observed in parallelepipeds. Unlike the shear-driven flow in a parallelepiped, that in a toroid is devoid of contaminating end wall effects. Consequently, it represents a more general paradigm in fluid mechanics.