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A water pump is used to pump water from one large reservoir to another large reservoir that is at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure, as sketched in Fig. P 14-39. The dimensions and minor loss coefficients are provided in the figure. The pump' s performance is approximated by the expression
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Fluid Mechanics: Fundamentals and Applications
- (a) Water flows by gravity from one lake to another as illus- trated; the surface levels of the lakes differ by an eleva- tion of h= 50 ft. If the volumetric flow rate is steady at Q = 80 gallons per minute, what is the associated loss of available energy? (b) A pump is to be installed to pump the water from the lower lake to the upper lake with the same flow rate as above (Q = 80 gpm). If the amount of energy loss is assumed to be the same as in part (a), how much mechanical power must be supplied by the pump? Answer: (a) loss = 1600 ft-lb/slug, (b) Wpump = 2.0 hparrow_forwardThe water is flowing through a pipe having diameters 45 cm and 15 cm at sections 1and 2 respectively. The rate of flow through pipe is 35 litres/s. The section 1 is 6 m above datum and section 2 is 4 m above datum. If the pressure at section 1 is 36 N/cm?, find the following by neglecting losses: (ENTER ONLY THE VALUES BY REFERRING THE UNIT GIVEN IN BRACKETS) 0) Area of cross section of section1 (unit in m) = Area of cross section of section2 (unit in m)- velocity at section 1 (unit in m/s) velocity at section 2 (unit in m/s)- 0i) difference in datum head (Unit in m) = Pressure head at section 1 (Unit in m) = pressure head at section 2 (unit in m) -arrow_forwardQ2/ A fluid containing (water, oil, sand) flowing through the tube and open to the atmosphere as shown in the figure below.. Note that p°- 1.013*105 Pa Calculate the absolute pressure (Pa). Density: Pwater = 1000 kg/m Pail = 800 kg/m Pand = 200 kg/m P. h3=12 cm hg al2cm oIL Pa h25 cm ng = 6 cm %3D Sand waterarrow_forward
- The water is flowing through a pipe having diameters 40 cm and 15 cm at sections 1and 2 respectively. The rate of flow through pipe is 35 litres/s. The section 1 is 7 m above datum and section 2 is 3.5 m above datum. If the pressure at section 1 is 36 N/cm?, find the following by neglecting losses: (ENTER ONLY THE VALUES BY REFERRING THE UNIT GIVEN IN BRACKETS)arrow_forwardThe water is flowing through a pipe having diameters 45 cm and 15 cm at sections 1and 2 respectively. The rate of flow through pipe is 35 litres/s. The section 1 is 6 m above datum and section 2 is 4 m above datum. If the pressure at section 1 is 36 N/cm2, find the following by neglecting losses: (ENTER ONLY THE VALUES BY REFERRING THE UNIT GIVEN IN BRACKETS) ) Area of cross section of section1 (unit in m?) = Area of cross section of section2 (unit in m?) = velocity at section 1 (unit in m/s) = velocity at section 2 (unit in m/s) =arrow_forwardA pump shown in the Figure 3a below delivers water of density 1000 kg/m³ through a pipe of internal diameter 50 mm at a rate of1.4 dm/s. Determine the pressure at point (1) if the pressure loss due to friction between point (1) and point (2) is 50 kPa. a. 25 m P1 Figure 3a: Water Pumping Systemarrow_forward
- Find the pressure difference in inlet cross section of water sprayer as shown in the figure (D=10 cm, d=2.5 cm, V= 2.2 m/s). darrow_forwardQ2/ A pump delivers water from a tank A (water surface elevation = 110 m) to tank B (water surface elevation = 170 m) as shown in figure below. The suction pipe is 45 m long ( = 0.024) and 35 cm in diameter. The delivery pipe is 950 m long (f = 0.022) and 25 cm in diameter. The head discharge relationship for the pump is given by H, = (90 – 8000 Q*), where H, in m and Q in m³/s. Calculate the discharge in the pipeline and the power delivered by the pump. Delivery pipe. elevation 170 m Suction pipe, elevation- 110 m Good Luck Rasha H. Salmanarrow_forwardA pump works between two opened tanks through a piFe of 10 cm diameter and length of 30 m with a friction factor of 0.02. The characteristic formula of the pump is given by H-52-1010 Q. There is a valve friction factor of 0.02. The characteristic formula of the located before the pump of minor losses factor (K) S Eten by the figure Q2 below, If the height of deliver side tank is 3 m Find:1) The volumetric fiow late n vaje Is fully opened 2) The percent valve setting if the dow rate is reduced by a half of the rate in )ASsame, free and large tank at the suction side tank]. Pump is given by H-52-1010 Q. There is a valvearrow_forward
- A water pump is used to pump water from one large reservoir to another large reservoir that is at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure, as sketched in Fig. The dimensions and minor loss coefficients are provided in the figure. The pump’s performance is approximated by the expression Havailable = H0 − aV.2 , where the shutoff head H0 = 125 ft of water column, coefficient a = 2.50 ft/(gpm)2 , available pump head Havailable is in units of feet of water column, and capacity V. is in units of gallons per minute (gpm). Estimate the capacity delivered by the pumparrow_forwardImagine that you are recently bought a 2-floor house and want to improve the water installation at the top floor which is 15 m from the water meter. Suppose that the water installation is poor due to 3 reasons: The city water pressure is not adequate (p = 200 kPa), the piping has a small diameter (D = 1.27 cm) and has been crudded up, increasing its roughness (e/D = 0.05). After a brief analysis you decide that there are 2 options to solve the problem: Either replacing the piping system with the smooth new pipe (D = 1.9 cm) or installing the boost pump (p = 300 kPa) while keeping the old piping system. By neglecting minor losses, which one would be more effective? (keeping in mind that combining these 2 options will surely solve the problem, but with more expenses)arrow_forwardA pump is installed to deliver water from a reservoir of surface elevation zero, to another of elevation 290 ft. The 10 inch-diameter suction pipe (f=0.022) is 90 ft long and the 8-in-diameer discharge pipe (f=0.028) is 4900 ft long. The pump characteristic is defined by hp= 365-20Q2 where hp, the pump head, is in feet and Q is in cubic feet per second. What is the rate at which the pump will deliver the water?arrow_forward
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