Deriving Discharge Expression for Broad Crested Weir Model

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In summary, the conversation discusses the derivation of an expression for the discharge per meter of a prototype using the Buckingham Pi theorem. It is assumed that the surface tension and viscosity of the fluid can be neglected due to the thickness of the overflowing water sheet. The equation of discharge for a weir is related to the spillway head, gravitational acceleration, and spillway height. The question also raises the consideration of choosing the repeating variables, with the dependent variable, Q, being discussed.
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Homework Statement


A broad crested weir model is designed to study the discharge per meter of the prototype. Derive an expression for this discharge using the Buckingham Pi theorem. Assume that the overflowing water sheet is thick so that the surface tension and thus viscosity of the fluid can be neglected. The equation of discharge (Q) for a weir has related with a function of spillway head (H), the gravitational acceleration (g), and the spillway height (h)

Homework Equations

The Attempt at a Solution



in this question , Q (discharge ) can't be chosen as repeating variable , right ? the repeating variables should be H and g , Am i right ? [/B]
 
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since Q is the dependent variable , am i right ?
 

Related to Deriving Discharge Expression for Broad Crested Weir Model

1. What is a repeating variable?

A repeating variable is a variable that is used multiple times in a study or experiment. It is often used to measure a specific factor or condition that is being studied.

2. How do you choose a repeating variable?

The choice of a repeating variable depends on the research question and the hypothesis being tested. It should be a measurable and relevant factor that is expected to have an impact on the outcome of the study.

3. Why is it important to choose a repeating variable?

Choosing a repeating variable is important because it allows for consistency and control in the study. By using the same variable multiple times, researchers can minimize the influence of other factors and accurately measure the effects of the repeating variable.

4. Can a repeating variable be changed during a study?

In most cases, a repeating variable should remain constant throughout a study. However, in some cases, researchers may choose to manipulate the repeating variable to observe its effects on the outcome. This should be clearly stated and justified in the study design.

5. What are some examples of repeating variables?

Some examples of repeating variables include time, temperature, dosage, and frequency. These variables can be measured and controlled to observe their impact on the outcome of a study.

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