Volumetric Flow Rate

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Fluid Flow CONTINUITY EQUATION Volumetric Flow Rate The volumetric flow rate (    ) of a system is a measure of the volume of fluid passing a point in V the system per unit time.  The volumetric flow rate can be calculated as the product of the cross- sectional area (A) for flow and the average flow velocity (v). (3-1) V A  v If  area  is  measured  in  square  feet  and  velocity  in  feet  per  second,  Equation  3-1  results  in volumetric flow rate measured in cubic feet per second.  Other common units for volumetric flow rate include gallons per minute, cubic centimeters per second, liters per minute, and gallons per hour. Example: A pipe with an inner diameter of 4 inches contains water that flows at an average velocity of 14 feet per second.   Calculate the volumetric flow rate of water in the pipe. Solution: Use Equation 3-1 and substitute for the area. V (p  r2)  v V (3.14)  ( 2 12 ft)2  (14 ft sec ) V 1.22 ft3 sec Mass Flow Rate The  mass  flow  rate of  a  system  is  a  measure  of  the  mass  of  fluid  passing  a  point  in  the m) system  per  unit  time.    The  mass  flow  rate  is  related  to  the  volumetric  flow  rate  as  shown  in Equation 3-2 where is the density of the fluid. (3-2) m r V If the volumetric flow rate is in cubic feet per second and the density is in pounds-mass per cubic foot,  Equation  3-2  results  in  mass  flow  rate  measured  in  pounds-mass  per  second.    Other common units for measurement of mass flow rate include kilograms per second and pounds-mass per hour. Rev. 0 Page 9 HT-03


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