7. For laminar flow of a Newtonian liquid in a pipe, determine the effect on flo

Question

7. For laminar flow of a Newtonian liquid in a pipe, determine the effect on flowrate of the following changes: a. The pressure drop triples (everything else remains constant) b. The pipe is changed from 1.25-in schedule-40 to 2-in schedule-40 (everything else remains constant). C. The viscosity of the fluid is increased by 50% (everything else remains constant). d. The equivalent length of pipe is decreased by an order of magnitude (everything else remains constant). e. (a) and (b) f. (a) and (c) g. (b) and (d)

Explanation / Answer

7. a. from poisuille's law

veff = vm/2

vm = (P1 - P2)*r^2/4*neta*L

now, if pressure drop triples

vm triples

hence

volume flow rate triples

b. diameter is changed from 1.25 to 2

volume flow rate becomes (2/1.25)^2 = 2.56 times

c. neta is increased to 1.5*neta

flow rate becomes 1/1.5 = 0.6667 times

d. L is changed to 0.1L

then flow rate becomes 1/0.1 = 10 times

e. Pressure drop triples, d is changed to 2 from 1.25

flow rate becomes 3*2.56 = 7.68 times

f. flow rate becoems 3*0.667 times = 2 times

g. 2.56*10 = 25.6 times

Related Questions

Navigate

• Browse (All)
• Browse 7
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.