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Concepts of Spatially Varied Flow
By presenting relationships for spatially varied flow with combined increasing and decreasing discharge, and relating those relationships to prior work, a clearer exposition of spatially varied flow concepts is provided in this chapter. The applicability and usefulness of energy (First Law of Thermodynamics) and momentum (Newton's Second Law) principles to spatially varied flows are addressed. The history of the debate initiated in the nineteenth century over the role of the First Law of Thermodynamics in general and hydrodynamics specifically is discussed, related to current issues regarding spatially varied flows, and hopefully resolved in the context of such flows and more generally. A difference formulation of the equations for spatially varied flows is derived. A comparison of analytical, correct numerical, and incorrect numerical methods for full flow in circular distribution conduit is presented. Also presented is a discussion of certain energy concepts regarding spillway flow. Entropy considerations are employed to demonstrate admissible solutions for spillway flow.
Concepts of Spatially Varied Flow
By presenting relationships for spatially varied flow with combined increasing and decreasing discharge, and relating those relationships to prior work, a clearer exposition of spatially varied flow concepts is provided in this chapter. The applicability and usefulness of energy (First Law of Thermodynamics) and momentum (Newton's Second Law) principles to spatially varied flows are addressed. The history of the debate initiated in the nineteenth century over the role of the First Law of Thermodynamics in general and hydrodynamics specifically is discussed, related to current issues regarding spatially varied flows, and hopefully resolved in the context of such flows and more generally. A difference formulation of the equations for spatially varied flows is derived. A comparison of analytical, correct numerical, and incorrect numerical methods for full flow in circular distribution conduit is presented. Also presented is a discussion of certain energy concepts regarding spillway flow. Entropy considerations are employed to demonstrate admissible solutions for spillway flow.
Concepts of Spatially Varied Flow
Graber, S. David (Autor:in)
24.12.2024
11 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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