Physics Help Forum Energy of water flow in a channel

 Thermodynamics and Fluid Mechanics Thermodynamics and Fluid Mechanics Physics Help Forum

 Jan 28th 2015, 09:22 AM #1 Junior Member   Join Date: Jan 2015 Posts: 3 Energy of water flow in a channel Hey guys, I have a channel of 0.5 meter width and depth of 0.5 meter as well. The water is being pumped into the channel by a pump having Max Head (22.5 meter) and Max flow rate (500 L/min). The connection between the pump and the channel is by means of a pipe of 2 inch(0.0508 meter) dia. I need to calculate the energy of water flow in the channel. Any help would be appreciated. Thanks. Last edited by pheonixrider; Jan 28th 2015 at 10:29 AM.
 Jan 28th 2015, 09:47 AM #2 Physics Team     Join Date: Jun 2010 Location: Morristown, NJ USA Posts: 2,354 I assume you are only concerned here with mechanical energy, not thermal energy, correct? Because strictly speaking the energy in a fluid flow includes its enthalpy. I also assume that the channel is level, and the rate of flow of the water in it is constant. In this case the energy in the flow is (1/2)rho v^2, where rho is the density of water. The units of this in energy (Joules) per cubic meter. So all you need do is calculate the velocity of flow. Given the flow rate of 500 L/min you can convert that to m^3/min, and divide by the cross-section area of the channel to get velocity of water in the channel.
 Jan 28th 2015, 11:37 AM #3 Junior Member   Join Date: Jan 2015 Posts: 3 Thank you for your response. Yes, only concerned with the mechanical energy. So basically, we have used, Volumetric flow rate = Velocity x Area Calculated velocity from above and for energy we have used, (1/2)*rho*Velocity^2 We have ignored the pressure head because the base of the channel is the datum, right?
Jan 29th 2015, 07:54 AM   #4
Physics Team

Join Date: Jun 2010
Location: Morristown, NJ USA
Posts: 2,354
 Originally Posted by pheonixrider We have ignored the pressure head because the base of the channel is the datum, right?
Yes - like I said, I assume the channel is level. If the water has to flow up or downhill then you would add in a delta h term.

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