For laminar flow in a round pipe of diameter D, at what dis- tance from the centerline is the actual velocity equal to the aver- age velocity? 4.
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- To cool a given room it is necessary to supply 4 ft³/s of air through a 5-in.-diameter pipe. Approximately how long is the entrance length in this pipe? Assume that air is at 60°F. le i ! ftWater is flowing in a long cylindrical tube at a mass flowrate of 0.01 kg/s. If the tube diameter is 10mm, water density is 1060 kg/m3 and water viscosity is 0.001 Pa.s, (i). calculate the Reynolds number of the flow; (ii). is the flow laminar or turbulent?3) Water at 20C° follow throw piping junction in the figure below. Entering section (1) at (0.0019m /sec). The average velocity at section (2) is (2.5 m/s). Apportion of the flow is diverted throw the shower head. Which contain (100 holes) of (1mm) diameter. The exit velocity from the exit shower head is 7.5 m/s assuming uniform shower flow estimate the diameter of section (2) (3) (2) (1)
- Q.3 A firm produces frozen fruits and vegetables, and a venturimeter is used in this process.In a certain step of the process, the cherries are introduced to the cold air stream at -12oC with a 3 in. pipe connected vertically to the throat of the venturimeter. Venturimeter is connected to a pipe 4 in. in diameter. If the air velocity in the throat is 5 times the terminal velocity of the cherries and the ratio of throat/pipe diameter is 0.6, what should be the flow rate of air? Assume that the density of cherries is 1200 kg/m3 and the average diameters are 12 mm. What should be the lay-out of the pipeline between venturimeter and freeze-dryer to prevent the striking of the cherries to the walls? Is there any settling possibility of the cherries at the exit of the venturimeter?Sketch the shear stress and velocity distribution for laminar flow across a pipe section?1. Derive the relation (Hagen-Poiseulle Law) for the head loss due to friction in Laminar flow case in pipes. Also prove that mean velocity Vis half of the maximum velocity for laminar flow case. Hint: consider a fluid element at a distance r' from the center of the pipe. Let 'd' be its thickness and 'dA'be its area.
- The velocity profile in fully developed laminar flow in a circular pipe of inner radius ro, is given by v=9(1-7) Find: 1) Plot the velocity profile. 2) The volume of water flows out of the pipe in 0.2 min?Find the Fanning friction factor (f) for a 60% sucrose solution at 70oF flowing inside a 0.05-m diameter pipe, roughness of 10x10-5, average velocity of 15 m/s (density = 1,400 kg/m3, viscosity = 60.2 cP).. Two identical tanks of large area contain different fluids. Both of them has ahole of the same height from the top, but the cross sectional area of the first tankis half of that of the second tank.a. What is the ratio of the densities of the two fluids if the mass flow ratethrough the holes is equalb. What is the ratio of the volume flow rate through the holes of the tanksc. For an equal volume flow rate from the two holes, what should be theratio of the depth of the holes.
- 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.derive the navier stoke equation to Vz (in function r) in a cylindrical pipe with the maksimum radius of a and L as the length of the pipe in a laminar and steady flowWhich is not true about the velocity profile in a pipeline flow. a. Velocity will be zero at the walls b. Velocity will be minimum at centre Velocity will decrease symmetrically towards walls Velocity will be maximum at centre