Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Consider a fully developed laminar flow of a fluid through 8027 m long and 4 cm diameter
horizontal and circular pipe. The dynamic density and the viscosity of the fluid are 1252 kg/m³ and
0.3073 kg/(m.s). The velocity profile at a cross-section is given by:
u(r)= 6[1 − ( 7 )²]
-
m/s
Where r is the axial distance from the centre and R is the radius of the pipe.
Determine the following:
(i)
(ii)
the maximum velocity at a cross-section of the pipe, Umax
the average velocity at a cross-section of the pipe, Vave
the volume flow rate, Q
(iv)
Reynolds number, Re
(v)
friction factor, f
(vi)
head loss, hi
(vii)
pressure loss, AP
(viii)
pumping power required,
(ix)
for the same pumping power, the percentage decrease of the flow rate if the pipe is
inclined 10° upward (assume the head loss, hò, calculated in part (vi) does not change)
Useful formulae:
64
f
Re
h₂ = f ( =) ( 2² )
2g
=](https://content.bartleby.com/qna-images/question/fdc321a7-0572-4d50-a9f3-8afbf4260389/cc85c721-2cb0-4bad-b496-f4e2ea4ff65a/dfsmx5k_processed.png)
Transcribed Image Text:6
Consider a fully developed laminar flow of a fluid through 8027 m long and 4 cm diameter
horizontal and circular pipe. The dynamic density and the viscosity of the fluid are 1252 kg/m³ and
0.3073 kg/(m.s). The velocity profile at a cross-section is given by:
u(r)= 6[1 − ( 7 )²]
-
m/s
Where r is the axial distance from the centre and R is the radius of the pipe.
Determine the following:
(i)
(ii)
the maximum velocity at a cross-section of the pipe, Umax
the average velocity at a cross-section of the pipe, Vave
the volume flow rate, Q
(iv)
Reynolds number, Re
(v)
friction factor, f
(vi)
head loss, hi
(vii)
pressure loss, AP
(viii)
pumping power required,
(ix)
for the same pumping power, the percentage decrease of the flow rate if the pipe is
inclined 10° upward (assume the head loss, hò, calculated in part (vi) does not change)
Useful formulae:
64
f
Re
h₂ = f ( =) ( 2² )
2g
=
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- Let, length of pipe = 120 m and its diameter is 0.3 m. if head loss due to friction is 5.2 meters and coefficient of friction is 0.02. Find the velocity of water in pipe if all minor losses are to be consideredarrow_forwardA semi-infinite body is constructed from a uniform flow with velocity Vo = 13.1 m/s and a source with strengthA = 1148 at the origin. Determine the stagnation point on the body (rstag-TT) and compute the velocity components Vr and Ve and the velocity components Vy and Vy on the surface of the body at 0 = 1.9 rad. Give your answers to 3 decimal places. Istag m Vr = Ve = Vx = Vy =[ m/s m/s |m/s m/sarrow_forwardAn incompressible fluid is flowing at steady rate in horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameter (d, and d₂) (where d₁ = 4d₂) that run, for a distance of L each and then again join back to a pipe of the original size. For both the parallel pipes, assume the head loss due to friction only and the Darcy-weisbach friction factor to be same. The velocity ratio between bigger and smaller branched pipe is.arrow_forward
- Problem 6.25 , show step by step solutionarrow_forwardConsider the pressurized horizontal pipe network consisting of three pipes arranged in series. The characteristics of each pipe are summarized in the table. The flow of water at Node A is Q = 5 cfs and the pressure head at Node A is yA = 200 feet. The temperature of the water is 60° F. a) Determine the friction head loss hfric in feet in Pipe 1. b) Determine the friction head loss hfric in feet in Pipe 2. c) Determine the friction head loss hfric in feet in Pipe 3. d) Determine the pressure head ys in feet at Node B. e) Determine the pressure head yc in feet at Node C. f) Determine the pressure head yo in feet at Node D. Flow Friction Pressure Diameter Length Friction (feet) (cfs) head Нead Pipe (inches) factor f Kpipe loss (feet) Node (feet) 1 16 500 0.011 5 A 200 2 12 1000 0.013 B 3 10 750 0.015 D Node Node Node Node A в D 5 cfs 5 cfs Pipe 1 Pipe 2 Pipe 3arrow_forward
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