Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 15, Problem 22P
To determine
To sketch:
Simplest possible computational domain of the given image and boundary coundition.
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Mechanical-Energy Balance and Friction Losses. Hot water is being discharged from a storage tank at the rate of 0.223 ft3/s. The process flow diagram and conditions are the same as given in Example 2.10-6, except for different nominal pipe sizes of schedule 40 steel pipe as follows. The 20-ft-long outlet pipe from the storage tank is 1 1/2 in. pipe instead of 4-in. pipe. The other piping, which was 2-in. pipe, is now 2.5-in. pipe. Note that now a sudden expansion occurs after the elbow in the 1 1/2 in. pipe to a 2 1/2 in. pipe.
Water at 20"C Bows through the pump impeller shown in the figure below, where the inner and outer diameters of the impeller are 160 mm and 400 mm
respectively, and the width of the pump blades is 55 mm
Part A
Wan-
μA
Estimate the shaft power required to drive the pump at this operating condition
Express your answer to three significant figures and include appropriate units.
Value
Blade
Pump impeller
The impeller rotates at 3600 rpm Under a particular operating condition, water enters in a direction normal to the inflow surface, the component of the outflow velocity
normal to the outflow surface. V is equal to 17 m/s, and the magnitude of the absolute velocity, V, at the outflow surface is 33 m/s
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Outflow surface
Inflow surface
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160 บท
400 mun
A submersible pump is to be selected for the installation on a newly drilled deep well. The static water level (SWL) of the water inside the well is 8.7m from the natural ground level and the centerline of the discharge pipeline is 3.5 feet above the natural ground level. Based on the test pumping results from the SWL the flow velocity at the pipeline discharge was 8.09 ft/s and the design pressure is 40 psi to assure that the water can reach the elevated water tank. The total head losses are assumed to be 12 feet.
a.) Find the total dynamic head (TDH) of the submersible pump needed for sizing in feet ?
b.) What will be the suitable pipe diameter for the system riser in inches?
Chapter 15 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 15 - A CFD code is used to solve a two-dimensional (x...Ch. 15 - Write a brief (a few sentences) definition and...Ch. 15 - What is the difference between a node and an...Ch. 15 - Prob. 4CPCh. 15 - Prob. 5CPCh. 15 - Prob. 6CPCh. 15 - Prob. 7CPCh. 15 - Write a brief (a few sentences) discussion about...Ch. 15 - Prob. 9CPCh. 15 - Prob. 10CP
Ch. 15 - Prob. 11CPCh. 15 - Prob. 13CPCh. 15 - Prob. 14CPCh. 15 - Prob. 15CPCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - For each statement, choose whether the statement...Ch. 15 - Prob. 45CPCh. 15 - Gerry creates the computational domain sketched in...Ch. 15 - Think about modem high-speed, large-memory...Ch. 15 - What is the difference between mulugridding and...Ch. 15 - Suppose you have a fair) comp1c geometry and a CFD...Ch. 15 - Generate a computational domain and grid, and...
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- Plot curves on a single plot that display the relationship between the pressure generated by thepump as a function of flow rate of water at 20 °C through the three branches of the piping systemshown below (delta P on the y axis and flow rate on the x axis; therange of the pressure as 0 to ~1 MPa). Pipe inner diameter: 0.0254 mPipe material: copperTypical mass flow rate of interest: 0.5 kg/sIgnore minor losses of tee's at points A and B and any features of branch 3Consider minor losses of two 90° elbows in branch 2arrow_forwardExample (1-2): A pump delivers water from a tank A (water surface elevation =110 m) to tank B (water surface elevation = 170 m). The suction pipe is 45 m long (friction factor, f = 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 Hp = (90 – 8000 Q²), where Hp is in metres and Q in m³/s. Calculate: (i) The discharge in the pipeline. (ii) The power delivered by the pump.arrow_forwardThe piping system shown in the figure is to move ethylene glycol at a flow rate of 50 gpm. Follow the suggested design procedure and select a suitable pipe size and pump for the system. A B A: Globe valves (2 of them) B: Union fittings (4 with 2 not shown) C: Plate welded to tank to suppress air entrainment in pump inlet D: Elbows: there are five 90° elbows and two 45° elbows The pipe is all wrought iron, with threaded fittings, schedule 40. Pipe lengths total 35.36 m. Total inlet pipe length from tank to pump is 1.22 m. z1 = 1.22 m and z2 = 3.66 m.arrow_forward
- 10-1. The piping of Fig. 10-50 is all the same size and part of a larger water distribution system. Figure 10-50 Sketch for Problem 10-1. Toblems Uj23 - 20t (6m) U34- 15t (4.6m) H, = B0ft (24m) Pump PROBLEMS (a) Compute the pressure at points 2, 3, and 4 if the pressure at point 1 is 20 psig (138 kPa gage). (b) Sketch the system characteristic for the complete run of pipe. Assume a flow rate of 150 gpm (9.5 L/s).arrow_forwardOn a single plot, plot three curves that show the relationship between the pressure generated by thepump as a function of flow rate of water at 20 °C through the three branches of the piping systemshown below. Delta P on y axis and flow rate on the x axis. The pressure range is 0 to 1 MPa. (Branches 1 and 3 are in the same plane; branch 2 is located 5 m above the other two branches. Pipe inner diameter: 0.0254 mPipe material: copperTypical mass flow rate of interest: 0.5 kg/sIgnore minor losses of tee's at points A and B and any features of branch 3Consider minor losses of two 90° elbows in branch 2arrow_forwardUse= Resolving of Example (1-3) Two reservoirs with a difference in elevation of 15 m are connected by the three pipes in series. The pipes are 300 m long of diameter 30 cm, 150 m long of 20 cm diameter, and 200 m long of 25 cm diameter respectively. The friction factors for the three pipes are, respectively, 0.018, 0-020 and 0-019, and which account for friction and all losses. Further the contractions and expansions are sudden. Determine the flow rate in l/s. The loss co-efficient for sudden contraction from dia. 30 cm to 20 cm = 0.24. Le-L₂ (D.) ² Le = L3 (D₁) ² 5 D3 LT. L₁ + L₂ ( D₁ ) ³ + L3 (D²₂) ³ 5 5 D3arrow_forward
- A vane-axial flow fan is being designed with the stator blades upstream of the rotor blades. To reduce expenses, both the stator and rotor blades are to be constructed of sheet metal. The stator blade is a simple circular arc with its leading edge aligned axially and its trailing edge at angle ?st = 26.6° from the axis as shown in the sketch. (The subscript notation indicates stator trailing edge.) There are 18 stator blades. At design conditions, the axialflow speed through the blades is 31.4 m/s, and the impeller rotates at 1800 rpm. At a radius of 0.50 m, calculate the leading and trailing edge angles of the rotor blade, and sketch the shape of the blade. How many rotor blades should there be?arrow_forwardlast three digits of your number for the upstream pressure: 754arrow_forwardEX in Asteel of speçific weight cy lin der (1"diametar andiz" Long) (8) =490 1b fI Ft3 fall be Cause of its own weight, at q uniform slig htly 9. rate of on5 HIs in side a tube of larger diameter.A Castor- oil film M = 6x lo -3 16 between t-s Constant thihness and the tube between of %3D is the cylinder Determine the cleamanCe (y) in ft the Cylinder and the tube-arrow_forward
- long. The inlet water temperature is 10 C, and the tube wall temperature is 15 C water temperature. k 0.585, Pr= 9.4, u= 1.31x10*,p= 992kg/m, CP= 4195 j/kg. higher than the water temperature all along the length of the tube. What is the exit %3D Q5//answer one of the following branches e jall al je yal A) cast iron pipe (k=75w/m. °C) air flows inside this pipe at 300°C the inner diameter is 0.06 m, the outer diameter 7cm,it is covered with insulation type glass wool with thick 4cm. with k= 0.055w/m.°C .the ambient temperature 6 °C by free V3. convection with heat transfer coefficient (20w/m2. °C) the heat transfer inside the pipe is 65 w/m?. °C. length of tube (L-2) determine 1-the heat lost from the hot air 2-the temperature drop across the pipe shell 3-the temperature drop across the insulation. 344 14. 1256 and B) Fill the blanks: of the 1. The thermal resistance of a medium depends on medium. 2 All law. pes of convection are governed by 10000, the flow isarrow_forwardWater at 20°C is flowing in a serial connected piping network with 270 L/min. Pipes have been made of cast iron. Three pipe diameters have been used for this system as 5 cm, 15 cm and 7.6 cm. The lengths of these pipes are 38 m, 23 m, and 45 m, respectively. The elbows and an open globe valve are all flanged. Calculate the extracted power [W] from the turbine. (NOTE: Elevation difference between two reservoirs is 36,26 m) 5 cm Open globe Turbine 15 cm 7.6 cmarrow_forwardFrancis and Kaplan turbines are often provided with drafttubes, which lead the exit fl ow into the tailwater region, asin Fig. . Explain at least two advantages in using adraft tube.arrow_forward
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