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Analysis of high-speed rotating flow inside gas centrifuge casing

Pradhan, S (2017) Analysis of high-speed rotating flow inside gas centrifuge casing. In: Core Programming Area at the 2017 AIChE Annual Meeting, 29 - 3 November 2017, Minneapolis, p. 1028.

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Official URL: https://www.aiche.org/conferences/aiche-annual-mee...


The generalized analytical model for the radial boundary layer inside the gas centrifuge casing in which the inner cylinder is rotating at a constant angular velocity Ωi while the outer is stationary, is formulated for studying the secondary flow due to wall thermal forcing, inflow/outflow of light gas along the boundaries, as well as the combination of the above two external forcing. The analytical model includes the sixth order differential equation for the radial boundary layer at the cylindrical surface in terms of master potential (χ), which is derived from the equations of motion in an axisymmetric (r - z) plane. The linearization approximation is used, where the equations of motion are truncated at linear order in the velocity and pressure disturbances to the base flow. Additional assumptions in the analytical model include constant temperature in the base state (isothermal compressible Couette flow), but there is no limitation on the Mach number. The discrete eigenvalues and eigenfunctions of the linear operators (sixth-order in the radial direction for the generalized analytical equation) are obtained. The solutions for the secondary flow is determined in terms of these eigenvalues and eigenfunctions. Next we perform the direct simulation Monte carlo (DSMC) simulations inside the gas centrifuge casing for a range of Mach number, Knudsen number, and aspect ratio to understand the detailed flow phenomenan and heat transfer mechanism which could help to improve the efficiency of the centrifugal separation process.

Item Type: Conference Paper
Publication: Poster Sessions 2017 - Core Programming Area at the 2017 AIChE Annual Meeting
Publisher: AIChE
Additional Information: The copyright for this article belongs to AIChE.
Keywords: Aerodynamics; Analytical models; Aspect ratio; Boundary layers; Centrifuges; Equations of motion; Flow of gases; Gases; Heat transfer; Mach number; Mathematical operators; Monte Carlo methods; Rotational flow; Secondary flow, Constant angular velocity; Direct simulation Monte Carlo; DSMC simulation; Gas centrifuges; Heat transfer mechanism; High-speed rotating; Linearization approximation; Rarefied gas flow, Eigenvalues and eigenfunctions
Department/Centre: Division of Mechanical Sciences > Chemical Engineering
Date Deposited: 27 Jul 2022 09:48
Last Modified: 27 Jul 2022 09:48
URI: https://eprints.iisc.ac.in/id/eprint/74677

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