If water is flowing in a 1-inch diameter pipe with an average velocity of 3 m/s and the wall roughness is 400 microns, calculate the wall sh

Question

If water is flowing in a 1-inch diameter pipe with an average velocity of 3 m/s and the wall roughness is 400 microns, calculate the wall shear stress.

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Trúc Chi 3 years 2021-09-02T19:19:01+00:00 1 Answers 1 views 0

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  1. Nick
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    2021-09-02T19:20:26+00:00
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    Answer:

    Shear stress  is 50.63 Pascal

    Explanation:

    As we know shear stress = \frac{\rho V^2 f}{8} \\

    Rho is the density

    V is the velocity

    f is the value from Moody’s chart

    We will know determine Reynolds number  to determine the flow type and then the f value

    R_e = \frac{ \rho*V*D}{u}

    R_e = \frac{1000*3*0.0254}{0.001} = 76200

    This is a turbulent flow and hence the roughness index is \frac{E}{D} = 0.0157, From this we get f = 0.045

    Now shear stress = \frac{1000 * 3^2 * 0.045}{8} = 50.63 Pa

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