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Three conservation laws – conservation of mass, conservation of momentum, and conservation of energy – describe steady, free-surface flows. In this chapter, these three conservation laws are derived for one-dimensional steady, free-surface flows using the basic principles of mechanics and using Reynolds Transport Theorem. One-dimensional analysis is found to be valid in most open-channel flow analyses since the lateral and vertical velocity components may be neglected, thereby simplifying the analysis considerably. The concepts of specific energy and specific force are then introduced and the chapter concludes by their applications to analyze different flow problems.
Three conservation laws – conservation of mass, conservation of momentum, and conservation of energy – describe steady, free-surface flows. In this chapter, these three conservation laws are derived for one-dimensional steady, free-surface flows using the basic principles of mechanics and using Reynolds Transport Theorem. One-dimensional analysis is found to be valid in most open-channel flow analyses since the lateral and vertical velocity components may be neglected, thereby simplifying the analysis considerably. The concepts of specific energy and specific force are then introduced and the chapter concludes by their applications to analyze different flow problems.
STEADY FLOW CONSERVATION LAWS
Chaudhry, M. Hanif (author)
Open-Channel Flow ; Chapter: 2 ; 31-60
2022-01-01
30 pages
Article/Chapter (Book)
Electronic Resource
English
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