Concept explainers
Oil has been flowing from a large tank on a hill to a tanker at the wharf. The compartment in the tanker is nearly full and an operator is in the process of stopping the flow. A valve on the wharf is closed at a rate such that 1 MPa is maintained in the line immediately upstream of the valve. Assume:
Length of line from tank to valve 3 km
Inside diameter of line 200 mm
Elevation of oil surface in tank 60 m
Elevation of valve on wharf 6 m
Instantaneous flow rate 2.5 m3/min
Head loss in line (exclusive of valve being closed) at this rate of flow 23 m of oil
Specific gravity of oil 0.88
Calculate the initial instantaneous rate of change of volume flow rate.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Additional Engineering Textbook Solutions
Applied Fluid Mechanics (7th Edition)
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Statics and Mechanics of Materials (5th Edition)
Introduction to Heat Transfer
Mechanics of Materials (10th Edition)
- C2. A conical tube is fixed vertically with its smaller end upwards and it forms a part of the pipeline. The diameter at the smaller end is 245 mm and at the larger end is 467 mm. The length of the conical tube is 1.8 m and the flow rate of the oil is 128 liters/s. The pressure at the smaller end is equivalent to a head of 9.7 m of oil. Considering the following two cases: (1) Neglecting friction, (without head loss) determine (i) the velocity at the smaller end in m/s, (ii) the velocity at the larger end in m/s, and (iii) the pressure at the larger end of the tube. (2) If a head loss (with head loss) in the tube is hL= 0.0153(V1-V2)2, where V1 is the velocity at the smaller end and V2 is the velocity at the larger end, determine (iv) the head loss in m of oil and (v) the pressure at the larger end of the tube.arrow_forwardC2. A conical tube is fixed vertically with its smaller end upwards and it forms a part of the pipeline. The diameter at the smaller end is 245 mm and at the larger end is 467 mm. The length of the conical tube is 1.8 m and the flow rate of the oil is 128 liters/s. The pressure at the smaller end is equivalent to a head of 9.7 m of oil. Considering the following two cases: (1) Neglecting friction, (without head loss) determine (i) the velocity at the smaller end in m/s, (ii) the velocity at the larger end in m/s, and (iii) the pressure at the larger end of the tube. (2) If a head loss (with head loss) in the tube is hL= 0.0153(V1-V2)2, where V1 is the velocity at the smaller end and V2 is the velocity at the larger end, determine (iv) the head loss in m of oil and (v) the pressure at the larger end of the tube.arrow_forwardWater is pumped from a pond to a tank by using a pump at a rate of 55 dm/s through a 50.4-mm-diameter steel pipe. The total length of the pipe is 95 m, and the viscosity of water is 1 mm2/s. Calculate the power required in the pump to maintain the discharge. Refer to Figure Q1 to include all losses in your calculation. (2) 20 m Gate Valve Pump (Fully Opened) 2 m Globe Valve (75% Opened) Figure Q1arrow_forward
- 4. Three storage tanks A, B and C are connected to a piping system as shown in Fig. The flow rate of water in the pipe which is connected to tank B is 0.06 m³/s. Determine the flow rate in the other two pipes and then calculate the level of the water in tank B relative to ground level. Friction factor, f = 0.01. ZA= 25 m A ₁=1000 m d₁= 0.3 m Q₁ = ? l₁= 600 m d,= 0.2 m Q = 0.06 m²/s 1₂= 1300 m d₁= 0.2 m Q₂ = ? B C Zc = 11 m Zaarrow_forwardWater from a reservoir is pumped over a hill through a 450 mm diameter and an absolute pressure of 1.0 kg/cm2 is maintained at the summit. Water discharge is 30 m above the reservoir. The quantity pumped is 0.5 m3/s. Frictional losses in the discharge and suction pipe, and pump is equivalent to 1.5 m. The speed of pump is 800 rpm. Determine the following: a.Water power of the pump b.New value of discharge if the speed of the pump is increased to 1000 rpm c.New value of head if the speed of the pump is increased to 1000 rpm d.New value of power if the speed of the pump is increased to 1000 rpm Please solving using the methodology (Given, requires, schematic diagram, solution and discussion)arrow_forwardThe ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 8 m3/hour. The length of the pipe is 35m and there are 2 elbows. Calculate the pump power requirement. The properties of the solution are density 975 kg/m3 and viscosity 4x 10-4 Pa s. a. Reynolds number = b. Energy Loss along a straight pipe = J/kg. c. Energy Loss in turns = J/kg. d. Total energy to overcome friction = J/kg. e. Energy to raise water to height = J/kg. f. Theoretical energy requirement of the pump kg ethanol/second = J/kg. g. Actual pump power requirement = watt.arrow_forward
- n Tank 1 150mm 300mm 300 100mm D Tank 2 Two tanks are set up as follows at your company for various applications of fluid transfer. Tank 1 above has a chamfered entrance to the pipe at point A. The liquid then goes through a sudden enlargement at point B followed by a gradual reduction at point C before it exits into the large Tank 2. Determine the head losses accumulated by the fluid as it flows from Tank 1 to Tank 2 at the points A, B, C and D given that the volumetric flow rate is 0.0942m³/s.arrow_forwardA water tank with a capacity of 1500 L is desired to be completely filled in about 1.5 hours. The total length of the suction and discharge pipes are 7.1 m and 12 m, respectively. All pipes uses 2 in.-diameter PVC pipes (ɛ = 0.15 mm). The elevations are shown in the figure below. Calculate the power input (in kW) to the pump if pump efficiency is 86% and motor efficiency is 96%. Take the density of water to be 1000 kg/(m^3) and u = 1.00E-3 Pa-s. ... 18 m 6 m Round your answer to 4 decimal places.arrow_forwardpleasearrow_forward
- Question 8 download image D The water in a large tank exits through a horizontal circular pipe of diameter D=0.01m and length L=94m. The centre of the exit of the pipe is h=1.0m below the water surface. We can assume that the flow entrance to the pipe is smooth so that there are no minor losses. The flow in the pipe is laminar, the friction factor can be assumed constant and can be found from h fD=64/Rep where the Reynolds number is based on the pipe diameter and mean flow speed in the pipe. Taking frictional losses into account, solve the resulting quadratic equation to calculate the speed of the flow out of the pipe. Give your answer in m/s to 2 decimal places. Use: kinematic viscosity given by v=0.00000114 m²/s density of water given by 1000 kg/m3 acceleration due to gravity of 9.81 m/s² A Moving to another question will save this response. >>arrow_forwardA water tank with a capacity of 1500 L is desired to be completely filled in about 1.5 hours. The total length of the suction and discharge pipes are 7.1 m and 12 m, respectively. All pipes uses 2 in.-diameter PVC pipes (ε = 0.15 mm). The elevations are shown in the figure below. Calculate the power input (in kW) to the pump if pump efficiency is 86% and motor efficiency is 96%. Take the density of water to be 1000 kg/(m^3) and μ = 1.00E-3 Pa-s.arrow_forwardProblem 2: Control volume and Bernoulli Water drains from a tank through two r = 0.01 m diameter orifices: one located directly at the bottom of the tank, and the other at H/2. The tank has a diameter of R = 1m and the height of the water level is initially H = 1.5m. (1) Find the equations relating h and t for t t*. (2) Find the time, t*, it takes for the water level to drain to h(t*) = H/2. (3) Plot the relationship between the non-dimensional values (r/R)2√2g/H t (on the x-axis) and (on the y-axis) for t t*. R VH/2 h(t) → | H Figure 2: Draining tank with two orifices.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY