Abstract
The paper presents an application of a dimension similitude theory in an analysis of the flow in a hot trub separator. It presents a procedure for derivation of dimensionless numbers based on a comprehensive analysis of all the forces occurring during fluid flow in a whirlpool. A combination of quotients of elementary forces has allowed to attain the dimensionless numbers. Among them, there are well-known numbers such as the Reynolds and Strouhal numbers, and there is also one original number. Modifications of these numbers have been derived to describe process conditions characteristic for the flow in the whirlpool. Dimensionless numbers relating to the time and the secondary flow parameters occurring at the bottom of the tank have been highlighted. General forms of functions of the dimensionless numbers have been proposed for calculating the time of the whirling motion and the parameters of the flow that form the sediment cone. Practical Applications To this point, designing and assembling whirlpools has not incorporated the knowledge coming from analysis of flows inside the tank occurring during the process of separation. All the information introduced by this publication may contribute to the improvement in designing tanks such as whirlpool. Presented similarity numbers allow for scaling flow phenomena occurring in a cycling vat.
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