Consider fully developed pressure-driven flow in a cylindrical tube of radius, R , and length, L = 10 mm, with flow generated by an applied pressure gradient, Δ p . Tests are performed with room temperature water for various values of R , with a fixed flow rate of Q =10 μ L/min. The hydraulic resistance is defined as R hyd = Δ p / Q (by analogy with the electrical resistance R elec = Δ V / I , where Δ V is the electrical potential drop and l is the electric current). Calculate the required pressure gradient and hydraulic resistance for the range of tube radii listed in the table. Based on the results, is it appropriate to use a pressure gradient to pump fluids in microchannels, or should some other driving mechanism be used?
Consider fully developed pressure-driven flow in a cylindrical tube of radius, R , and length, L = 10 mm, with flow generated by an applied pressure gradient, Δ p . Tests are performed with room temperature water for various values of R , with a fixed flow rate of Q =10 μ L/min. The hydraulic resistance is defined as R hyd = Δ p / Q (by analogy with the electrical resistance R elec = Δ V / I , where Δ V is the electrical potential drop and l is the electric current). Calculate the required pressure gradient and hydraulic resistance for the range of tube radii listed in the table. Based on the results, is it appropriate to use a pressure gradient to pump fluids in microchannels, or should some other driving mechanism be used?
Consider fully developed pressure-driven flow in a cylindrical tube of radius, R, and length, L= 10 mm, with flow generated by an applied pressure gradient, Δp. Tests are performed with room temperature water for various values of R, with a fixed flow rate of Q =10 μL/min. The hydraulic resistance is defined as Rhyd = Δp/Q (by analogy with the electrical resistance Relec = ΔV/I, where ΔV is the electrical potential drop and l is the electric current). Calculate the required pressure gradient and hydraulic resistance for the range of tube radii listed in the table. Based on the results, is it appropriate to use a pressure gradient to pump fluids in microchannels, or should some other driving mechanism be used?
Branch of science that deals with the stationary and moving bodies under the influence of forces.
On a single plot, show 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 the y axis and flow rate on the x axis; therange of the pressure should be 0 to ~1 MPa).
Pipe inner diameter: 0.03 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 2
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.
Oil flows at 55.9L/s in a pipe of 160mm diameter and 50m length. SG of oil is 0.9 and viscosity is 0.04 Pa-sec. If head loss is 5.22m, determine:
a. Mean Velocity of flow (m/s)
b. Type of flow
c. Friction Factor
d. Velocity at the centerline of pipe (m/s)
e. The shear stress at the wall of the pipe (Pa)
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Fox and McDonald's Introduction to Fluid Mechanics
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8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure; Author: Lectures by Walter Lewin. They will make you ♥ Physics.;https://www.youtube.com/watch?v=O_HQklhIlwQ;License: Standard YouTube License, CC-BY