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Town of Chino Valley DEVELOPMENT SERVICES BUILDING DIVISION COMMERCIAL BUILDING PERMIT REVIEW Chino Valley, AZ 86323 (928) 636-4427 COMMERCIAL KITCHEN HOOD WORKSHEET / CHECKLIST Two copies of this
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I've been asked to do a little explanation about how to calculate flow rate from a velocity profile in a flow of a Newtonian fluid to sort out how velocity and flow rate are related we can consider first a simple problem of a flow where the velocity is uniform meaning it's the same everywhere, so we have a constant velocity, and we imagine that flow going through a cross-sectional area of a simple shape let's say a square of area 2 centimeters squared for example so let's choose a value for the velocity let's choose 4 centimeters per second, and we're asking what is the volumetric flow rate through this cross-sectional area we can figure that out by thinking about how much fluid would pass through the area in a time let's say 3 seconds so in 3 seconds there's fluid passing here at 4 centimeters per second in 3 seconds the fluid would pass through and a volume of fluid would have passed through that it's the equivalent of this rectangular parallelized, so the fluid is traveling at 4 centimeters per second so over time 3 seconds this fluid would have gone a distance 4 centimeters per second times 3 seconds, or it would have gone 12 centimeters now we know the fluid has gone 12 centimeters, so we can calculate the total volume that has passed through surface this in this surface we've chosen by calculating the volume of the parallelized, so the volume is equal to the height which is 12 centimeters times the cross-sectional area of the base which is 2 centimeters and if we want the volumetric flow-rate we want that volume that has passed in the time we chose, so we divide that by the time which was 3 seconds so the speed of the flow times the cross-section area divided by the time gives us 8 this is centimeter squared 8 centimeters cube per second is our volumetric flow rate so having done this example with numbers we can now figure out what the overall general formula is and what we did was we took the cross-sectional area a, and we multiplied it by this height which was the equivalent of velocity times time, so we get our general formula the volumetric flow rate is velocity this was time in the denominator as well, so the time cancels times cross-sectional area this case of constant velocity is not always the case we know for instance in our flow down an inclined plane that the velocity varies with position, and we can adapt our situation to the case where the velocity varies let's imagine again we have this cross-sectional area it's a square looking at in perspective, but now we're going to have the velocity vary with position in some way so in order to take into account all these variations in velocity we need to divide our cross-sectional area into little pieces over which the velocity is constant, and then it becomes the previous problem, so we have this velocity as a function of position, and now we just add up the contributions in each of these nine squares for instance so if I just do that same sort of logic and say oh in some amount of...

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Net is calculated by subtracting expenses from revenues.
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