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Engine oil at
Answer:
Figure P9-86
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Fluid Mechanics: Fundamentals and Applications
- An instrument popular in the beverage industry is the targetflowmeter in Fig. A small flat disk is mountedin the center of the pipe, supported by a strong but thin rod.(a) Explain how the flowmeter works. (b) If the bendingmoment M of the rod is measured at the wall, derive a formulafor the estimated velocity of the flow. (c) List a fewadvantages and disadvantages of such an instrument.arrow_forwardEngine oil at T = 60°C is forced to flow between two very large, stationary, parallel flat plates separated by a thin gap height h = 3.60 mm. The plate dimensions are L = 1.25 m and W = 0.550 m. The outlet pressure is atmospheric, and the inlet pressure is 1 atm gage pressure. Estimate the volume flow rate of oil. Also calculate the Reynolds number of the oil flow, based on gap height h and average velocity V. Is the flow laminar or turbulent?arrow_forwardCalculate the pressure drop through horizontal sanitary stainless steel tubing (9 mminner radius and 1.2 m long) for an apple juice drink that flows with a velocity of 3.13 ms -1 . The density and viscosity of apple juice drink are 1100 kg m -3 and 0.8 x 10 -3 kg m -1 s -1 , respectively. Use the Moody diagram to solve this problem.arrow_forward
- An incompressible fluid (kinematic viscosity, 7.4 x10-7 m²/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is (a) 0.651 x 10-3 (c) 6.51 (b) 0.651 (d) 0.651 x 103arrow_forwardAt a point in a pipe that lay flat ノ water in the pipe flows at a speed of 9.0 mls and has 6-40x 104 Pa a gaoge pressure is Find the gauge pressure at point 2 of pipe that lower than the first point 8.0 m and the cvoss - se ctional| area of the pipe is double of first point . Answer [1.52x105 Pa]arrow_forwardThe inseminator in Fig. 8-8 contains fluid of s.g.=0.26. If the plunger is pushed in steadily at 19 in/s, what is exit velocity V2 in ft/s? Assume no leakage past the plunger.arrow_forward
- A viscous Newtonian fluid is flowing in a horizontal rectangular duct with dimensions, L=10 m, W=1 m and H=10 cm as shown in the diagram below. The volumetric flow rate of the fluid is 0.40 m3/s, the viscosity is 0.5 Pa s and the density 1.26 g/cm3. Calculate the pressure drop in the rectangular duct (in KPa)arrow_forwardA block is slid down a 16 inclined plane on a thin film of W Imm thickness oil. The contact area between the block and the oil film is 0.0035m. Find the ratio of terminal velocity (m/s) to the block weight (N). h, oil film thickness 0-16°arrow_forwardAn oil (viscosity 1 Pa.s, density 800kg/m3) is flowing in an axisymmetric pipe. The flow is fully developed and laminar and the velocity at the centre of the pipe is = 30cm/s. The velocity cross-sectional profile is parabolic as: u(r) = U0(1- r2/R2) . Here r is the distance of the point to the pipe centre where the velocity is u(r). . R is radius of pipe (R=4mm). Calculate: the shear stress at the pipe wall the shear stress within the fluid 2 mm from the pipe wall the Reynold’s number of the flowarrow_forward
- The 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_forwardDerive the Continuity Equation by considering a stream-tube of flow through a conduit.arrow_forwardWater flows from Reservoir A to Reservoir B. The pipe diameter D is 1 m, and the pipe length L is 300 m. H= 16 m, h = 2 m, and the pipe head loss is given by h₁ = 0.01), where U is the velocity in the pipe. In your solutions consider the head loss at the pipe outlet to be ( U² 2g (a) what is the discharge in the pipe? (b) What is the pressure at point P halfway between the two reservoirs? (c) sketch the HGL and EGL. Water D H P Barrow_forward
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