A consulting firm is asked to perform a study of pipe flow. A fluid flows at velocity, V, through thepipe of diameter, D. An orifice plate containing a hole of diameter, d, is placed in the pipe (thismeans the pipe diameter is essentially reduced to d at this location). It is desired to study thepressure drop, AP, across the plate. Assume that AP = f(D, d, o, V). Determine a suitable set ofpi terms.

Answered: A consulting firm is asked to perform a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The four pipes below have steady flow of an incompressible, ideal fluid with density ps. The manometer fluid density is pm. Define AP = P2-P₁. Note the manometer reading Rm is called Ah in Figure 2.11 of Song (2018). Part A For each manometer, check the appropriate box in each of the three pairs of options. Rm (a) □ Pm Pr □ P₁ P₂ AP=Rm(Ym-Y) AP=Rm(Yr Ym) (b) □Pm Pr O P₁ P₂ OP₁ > P₂ AP=Rm(Ym-Y) AP=Rm(Yr Ym) Rin (c) □ Pm Pr □ P₁ P₂ DAP-Rm(Ym-Y) AP=Rm(Yr Ym) Rm (d) OPm Pr □ P₁ P₂ *2 O AP=Rm(Ym-Yt) □ AP=Rm(Yt-Ym) Part B For one of the manometers shown, derive the equation you checked for pressure drop AP. Be sure to state which manometer are you using for your derivation (a)-(d).
Q1) Mott recommends the following formula for the friction head loss hf, for flow through a pipe of length L and diameter D : where Q is the volume flow rate , A is the pipe cross-section area , and Ch is a dimensionless coefficient . Determine the dimensions of hf? hf = LG *0.551. A. Ch. Do.63)1.85
Q2. A 200 mm x 100 mm venturimeter is provided in a vertical pipeline carrying oil of S = 0.9. The flow is in the upward direction. The throat is above the inlet by 0.25 and the differential manometer shows a gauge deflection of 0.25 m of Hg. Determine, (a) Discharge of oil (b) The pressure difference in N/m^2 between * entrance and throat by using basic Bernoulli's equation. Take Cd = 0.98
Two concentric glass tubes immersed in water as shown in figure. The outer tube has diameter of (D = 5 mm) and the inner one has diameter of (d = 4 mm). With neglecting of tube wall thickness, find Ah. Ah D water
The velocity profile of water(density 1000 kg/m and viscosity of 0.001 N.S/m² ) in a pipe is u%=²(R² -r²) where R is radius of the pipe and r is any distance from the center of the pipe. %3D The roughness of the pipe is 0.03 mm. i. If the pipe is replaced by another pipe with higher roughness of 0.075 mm, Calculate the pressure drop in two-meter length of the pipe. ii. evaluate the pressure drop in two-meter. ii. Explain your answers (difference or similarity) in parts (i) and (ii).
c) The orifice flowmeter shown in Figure 4 is used to obtain the flowrate of oil inside a conduit. The diameter of the orice, d is one third of the pipe diameter, D with pressure difference recorded as 25 kPa. The pipe diameter D is 6 cm, discharge coefficient Ca, is 0.60, Bis the ratio of orifice diameter to pipe diameter and Oilspedific gravity, SG is 0.95. If the h is 7 cm, i. Calculațe the vollime flowrate of oil inside the conduit. ii. Determine the mass flowrate of oil inside the conduit. iii. Explain why the discharge coefficient Ca, for the orifice meter is higher compared to the venturi and nozzle meters. D=6 cm d Figure 4
The discharge (Q)through a horizontal pipe is depend upon the pressure drop per unit length the diameter (D), and the dynamic viscosity (μ).Find the form of the equation using Dimensional Analysis theory.
ANS BOTH!
A pipe conveys water with velocity 360 m/min and pressure gauge shows 5 bar pressure under which the water is following. The pipe is located at 5 metre above the datum line. The sum of total head and stagnation head is m. (g = 10 m/s?). (assume 1 bar = 105 Pa) %3D
A/ In the pipe systems show, find the distribution of flow, with a friction factor of 0.0165. Assume that minor losses can be neglected. (use Darcy-Wiesbach) B/ If the pressure at first point (Qin) =580 KPa, then find the pressure at point E. Pipe Đia.-m Length-m 04 ms m3's A 0.658544 1 AB 0.305 500 G 2 BC 0.205 300 3 AC 0.505 400 CF 0.305 350 Loop 2 FG 0.305 300 1026M5 mas 6 GA 0,405 300 7. 05 mas 8. CD 0.405 400 Loop 1 DE 0.405 300 9 EF 0.205 500 B. 10.4 m3s 04 ms Loop 3 0.31598 m3s D E 0.3 m3s
This vertical pipeline with attached gage and manometer contains oil and mercury as shown. The manometer is open to the atmosphere. There is no flow in the pipe. What will be the gage pressure reading at A? correction: 3.75 mm should be 375 mm en Me Do not write the unit. You will only input the numerikal answer in the space provided. Unit of the Correct Answer. kPa Decimal Places required in the firal answer 3
Three pipes connected in series with lengths L1 = L2 = L3 = 300 m and diameters D1 = 75 mm, D2 = 50 mm, D3 = 25 mm. The discharge at the 50 mm pipe = 200 lps, kinematic viscosity = 1.12 x 10-6 m2/s and ε = 0.35 mm. Using Haaland and Darcy-Weisbach Formula, determine the following: a. Which pipe has the highest Renoylds Number? b. Which pipe is the smoothest? c. Compute the total head loss

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