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In class we derived the Hagen-Poiseuille equation, an analytical expression for the pressure drop for laminar flow conditions through a horizontal pipe of constant diameter.
In class we derived the Hagen-Poiseuille equation, an analytical expression for the pressure drop for laminar flow conditions through a horizontal pipe of constant diameter. For a special case of turbulent flow conditions, a similar approach can be made using the Blasius equation to get the following expression for the pressure drop through a smooth, horizontal pipe of constant diameter: P=0.241D4.750.750.25LQ1.75 On the pressure drop vs flow rate figure below, draw the pressure drop profiles for both laminar (using the Hagen-Poiseuille equation) and turbulent (using the equation given above) flow of water at 5C through a smooth pipe (internal diameter =1cm ) that is 15m long
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