Q1-(2.4-4, Holland): A fluid of density (p) and dynamic viscosity (µ) flows in s.s in a cylindrical pipe of inside diameter (d) with mean linear velocity (u). Derive an expression for the pressure gradient APAL in terms of p, u, d & u. By dimensional analysis (Note Lect. No.3).

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Chapter5: Analysis Of Convection Heat Transfer
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Problems H.W: Lecture No.6 Part 2
Q1-(2.4-4, Holland): A fluid of density (p) and dynamic viscosity (u) flows in s.s in a cylindrical
pipe of inside diameter (d) with mean linear velocity (u). Derive an expression for the pressure gradient
AP/L in terms of p, u, d & u. By dimensional analysis (Note Lect. No.3).
Q2-An oil with a viscosity of u= 0.40 N-s/m and density p= 900 kg/m flows in a pipe of diameter d=
0.20m.
(a) What pressure drop, pl-p2, is needed to produce a flowrate of Q=2.0x10-5 m/s if the pipe is
horizontal with xl=0 and x2=10 m?
(b) How steep a hill,
part (a), but with pl=p2? (c) For the conditions of part (b), if pl=200 kPa, what is the pressure at
section, x3=5 m, where x is measured along the pipe?
„must the pipe be on if the oil is to flow through the pipe at the same rate as in
II
Transcribed Image Text:Problems H.pdf > Problems H.W: Lecture No.6 Part 2 Q1-(2.4-4, Holland): A fluid of density (p) and dynamic viscosity (u) flows in s.s in a cylindrical pipe of inside diameter (d) with mean linear velocity (u). Derive an expression for the pressure gradient AP/L in terms of p, u, d & u. By dimensional analysis (Note Lect. No.3). Q2-An oil with a viscosity of u= 0.40 N-s/m and density p= 900 kg/m flows in a pipe of diameter d= 0.20m. (a) What pressure drop, pl-p2, is needed to produce a flowrate of Q=2.0x10-5 m/s if the pipe is horizontal with xl=0 and x2=10 m? (b) How steep a hill, part (a), but with pl=p2? (c) For the conditions of part (b), if pl=200 kPa, what is the pressure at section, x3=5 m, where x is measured along the pipe? „must the pipe be on if the oil is to flow through the pipe at the same rate as in II
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