What assumptions are made when using the energy equation in open channel flow?

Reference

3.1 SPECIFIC ENERGY AND ALTERNATE DEPTHS OF FLOW IN W IDE CHANNELS The Energy Equation and Open Channel Flow • In our analysis of open channel flow, we typically make the following assumptions: • The streamlines are parallel. • Bed slope is small so that . • The kinetic energy correction factor is approximately equal to 1.0 • The ...

coast.nd.edu

BASIC HYDRAULIC PRINCIPLES OF OPEN-CHANNEL FLOW by Harvey E. Jobson and David C. Froehlich ABSTRACT The three basic principles of open-channel-flow analysis the conserva tion of mass, energy, and momentum are derived, explained, and applied to solve problems of open-channel flow. These principles are introduced at a

pubs.usgs.gov

Equation (2.55) is the algebraic form of the energy equation for unsteady open-channel flow. As mentioned in Section 2.1.2, use of the algebraic form is difficult due to the terms that involve the unknown flow parameters between T 5 and T 6, which for equation (2.55) includes the two integral terms as well as 6 þ Ú

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OpenAI's Answer

When using the energy equation in open channel flow, several assumptions are typically made:

Parallel Streamlines: The flow is assumed to have parallel streamlines.
Small Bed Slope: The slope of the channel bed is considered to be small, simplifying the gravitational component of the energy equation.
Kinetic Energy Correction Factor: This factor is usually taken as approximately 1.0, implying uniform velocity distribution across the channel section.

These assumptions help in simplifying the complex nature of open channel flow for analysis purposes.

For more details, you can refer to the full text here.

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