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|Title:||Liquid metal flow in a sharp elbow in a uniform transverse magnetic field|
|Author(s):||Moon, Tessie Jo|
|Doctoral Committee Chair(s):||Walker, John S.|
|Department / Program:||Applied Mechanics
|Degree Granting Institution:||University of Illinois at Urbana-Champaign|
|Abstract:||In the self-cooling blankets of the Tokamak fusion reactor, a liquid metal, namely liquid lithium, is pumped through a system of ducts to transfer heat and capture neutrons. One of the blanket designs proposed in Argonne National Laboratory's Blanket Comparison and Selection Study uses a combination of poloidal and toroidal ducts in order to maximize heat transfer while minimizing net pressure drop. In the design, the poloidal and toroidal ducts meet at sharp, abrupt corners. They were modelled as two identical, straight, semi-infinite, thin-walled, rectangular ducts with 45$\sp\circ$ miters and joined at a 90$\sp\circ$ angle in the plane of a strong, uniform magnetic field.
While in the toroidal containment vessel (i.e. the blanket), the liquid lithium is subjected to a large electromagnetic body force due to the presence of a strong magnetic field. This body force so dominates the flow as to make the inertial and viscous forces negligible everywhere, except in thin boundary or interior layers.
The duct was "separated" into three distinct, successive regions in the axial direction. Due to their geometrical simplicity, the upstream and downstream regions had analytical solutions which were expressed in terms of eigenfunction expansions. Meanwhile, a successive over-relaxation finite difference scheme was used in the middle region which required a full numerical solution due to its geometrical complexity. The two solution types (numerical and analytical) were matched using a combined Galerkin-conservation integral method.
Results are presented for the geometry corresponding to the Tokamak configuration and values of the wall conductance ratio, c, in the range 0.01 to 1. The pressure and electric potential functions in the top and bottom walls are presented in each of the three regions. The additional pressure drop associated with the presence of the elbow is also given.
|Rights Information:||Copyright 1989 Moon, Tessie Jo|
|Date Available in IDEALS:||2011-05-07|
|Identifier in Online Catalog:||AAI8924902|
This item appears in the following Collection(s)
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois