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Figure P9-86
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Fluid Mechanics: Fundamentals and Applications
- A 5-mm-diameter capillary tube is used as a viscometer foroils. When the flow rate is 0.071 m3/h, the measured pressuredrop per unit length is 375 kPa/m. Estimate the viscosityof the fluid. Is the flow laminar? Can you also estimate thedensity of the fluid?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_forwardGiven an open tank filled with oil that is discharging through a 35-meter long commercial annulus pipe as shown in figure below. Calculate the volume flowrate at point 2 when the oil surface is 5 meters from it. Neglect entrance effects take kinematic viscosity equal to 4 x10-5 m2/s. (Ro and Ri are radaii).arrow_forward
- Calculate 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_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_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
- C. 18000000.00 d. 12000000.00 O e. 24000000.00 Assuming a linear velocity distribution in the oil film, find the terminal velocity (m/s) of the block if the block mass m-12.3 kg, the film contact area is A = 35 cm, 0-15°, and the oil film is 1-mm-thick (viscosity3 0.29 kg/m - s). rered f3.00 stion Liquid film of thickness h Block contact area Aarrow_forwardDerive the Continuity Equation by considering a stream-tube of flow through a conduit.arrow_forwardA gas tanker carries fuel oil having density of 900kg/m3 and viscosity of 0.05kg/ms as shown in the figure. Thecapacity of the tanker is 20m3 and filling time is 40 minute. Please calculate the required input power of the pump tofill the empty tanker at the beginning of filling process. Note that total irriversible head loss is 2m and the efficiencyof the over-all pump is 82%. Please discuss the amount of required power during the filling processarrow_forward
- 1) The velocity profile of a viscus fluid over a plate is parabolie with vertex 25 em from the plate ,where the velocity 125 cm/s. calculate the velocity gradient and shear stress at distance of (0, 5, 15 and 25 cm) from the plate given the viscosity of the fluid =7 poise ? Also draw the figure explain the relationship between the velocity gradient and shear stress. Take velocity profile for parabolic equation, (v = ay + by + c)arrow_forwardsolve itarrow_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 10 m3 / hr. The pipe length is 35m and there are 2 elbows. Calculate the power requirements of the pump. The properties of the solution are density 975 kg / m3 and viscosity 4x 10-4 Pa s. a. Reynold number = Answer b. Loss of Energy along the straight pipe = Answer J / kg. c. Losing Energy at curves = Answer J / kg. d. Total energy to overcome friction = Answer J / kg. e. Energy to increase water according to height = Answer J / kg. f. The theoretical energy requirement of the pump ethanol / second = Answer J / kg. g. Actual pump power requirement = Answer watt.arrow_forward
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