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Proceedings of the 24th National and 2nd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2017)

ISBN Онлайн: 978-1-56700-478-6


DOI: 10.1615/IHMTC-2017.2550
pages 1831-1837

M. Chatterjee
Homi Bhabha National Institute, Mumbai, Bhabha Atomic Research Centre, Mumbai

S. Mukhopadhyay
Bhabha Atomic Research Centre, Mumbai

P. K. Vijayan
Reactor Engineering Division, Bhabha Atomic Research Centre, Mumbai-400085, India


The aim of the present work is to introduce a new mathematical model that can predict the heat and mass transfer in a counter current Ranque Hilsch Vortex Tube (RHVT). RHVTs are widely used for spot cooling or heating and also found its use in mass separation applications. The physical behaviour of the flow inside the RHVT is not yet fully understood due to several complex and intriguing phenomenon encompassing the fields of fluid dynamics, mass transfer, heat transfer and thermodynamics. Experimental investigation of heat and mass transfer phenomenon in a RHVT is presented in previous publications by Chatterjee et. al. [1, 2]. A tangential injection of a compressed gas mixture into the vortex chamber of the RHVT results in a vortex motion within the tube, and two streams (cold and hot) are withdrawn at opposite end of the RHVT. Thermal as well as species separation is observed between these two outlet streams. The present theoretical model requires inlet conditions of the gas mixture and cold outlet to inlet flow ratio. It can predict thermal gradient in hot and cold streams and concentration gradient of both enriched and depleted streams along the length of the RHVT. The well established Chilton Colburn analogy is used within its applicable range to determine the mass transfer coefficient based on the heat transfer coefficient. The heat transfer coefficient is calculated using Seider-Tate correlation. In this work air as a binary mixture of Oxygen and Nitrogen has been considered as the working fluid.