Where Does the 0.6 Constant in Torricelli's Equation Come From?

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SUMMARY

The constant 0.6 in Torricelli's equation represents a discharge coefficient that accounts for factors such as viscosity and turbulence affecting fluid flow. This coefficient is derived from Bernoulli's principle, which states that the maximum drain rate from a tank is proportional to the square root of the fluid height. The discharge coefficient varies based on the Reynolds number and the orifice shape, indicating that real-world applications deviate from ideal conditions due to these factors.

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Homework Statement



Hey, I am doing some work with torricellis equation and I have some questions. I am using the equation:

dH/dt*A(h)=-B*squareroot(2*g*h)

My question is, in my textbook it says the general formula is:

dH/dt*A(h)=-0.6*B*squareroot(2*g*h)

I want to know where the constant 0.6 comes from. Is it a constant which takes height for viscosity or turbulence and if so how do I find this constant?

Thanks.
 
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Hi sting10! Welcome to PF! :smile:

(have a square-root: √ :wink:)
sting10 said:
… I want to know where the constant 0.6 comes from. Is it a constant which takes height for viscosity or turbulence and if so how do I find this constant?

From http://en.wikipedia.org/wiki/Bernoulli's_principle#Real_world_application"
The maximum possible drain rate for a tank with a hole or tap at the base can be calculated directly from Bernoulli's equation, and is found to be proportional to the square root of the height of the fluid in the tank. This is Torricelli's law, showing that Torricelli's law is compatible with Bernoulli's principle. Viscosity lowers this drain rate. This is reflected in the discharge coefficient which is a function of the Reynold's number and the shape of the orifice.[23: Mechanical Engineering Reference Manual Ninth Edition]
 
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