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Pipe Network Energy Losses
AE: 341 Fluid Mechanics Laboratory.
Section 1006
Author
Allan Valdez
Instructor
Mohammad Amine Abassi
November 16, 2023
Pipe Network Energy
Losses
Allan Valdez
i
Contents
Abstract
............................................................................................................................................
1
Introduction
......................................................................................................................................
1
Theory
..............................................................................................................................................
1
Procedure and Equipment
................................................................................................................
2
Results and discussion
.....................................................................................................................
4
Conclusion
.......................................................................................................................................
6
Acknowledgements (Example)
........................................................................................................
7
References
........................................................................................................................................
8
Appendices
......................................................................................................................................
9
Annex
.............................................................................................................................................
11
Table of Figures
Figure 1: H1D Volumetric Hydraulic Bench. Source:.(2)
...............................................................
2
Figure 2: This is a bad formatted plot
..............................................................................................
4
Figure 3: Better formatted plot. Show theoretical curve, experimental data points, regression
curve and its equation. There is a title and axis are labeled
.............................................................
6
Pipe Network Energy
Losses
Allan Valdez
1
Abstract
This lab report evaluates a pipe network with changing fittings to analyze the various minor
losses. Each fitting has a theoretical loss coefficient determined experimentally with this pipe
network. The result demonstrated that the experimental results are about the same as the accepted
values for each fitting.
Nomenclature
:
K
Fitting loss coefficient
h
L
Head Loss
V
Velocity
g
Gravity constant
f
Time.
L
Length
D
Diameter
Introduction
This experiment is named Pipe Network Energy Losses. The objective is to examine the
loss coefficients of various fittings in pipe flow and to compare these values with the accepted
values [ CITATION Moh23 \l 1033 ]. The purpose of this lab is to utilize an adjusted Bernoulli
equation that accounts for head loss, the pipe network dimensions, and the measured flow rate to
calculate the loss coefficient for each fitting. This lab was completed on November 9, 2023, by
Allan Valdez as a requirement for a fluid mechanics laboratory course at San Diego State
University.
Pipe Network Energy
Losses
Allan Valdez
2
The introduction begins by stating the name of the experiment. The objective statement from the
experiment handout is repeated, preceded by “The purpose of this lab is……”
The name of the person performing the experiment is stated along with the location and date. The
fact that it was a requirement for this course is stated. (1)
Theory
In this experiment, a pipe network with a mitre, a small radius bend, an enlargement, a
contraction, and a large radius bend are analyzed for the energy losses occurring. The pipe
network is a simple example of the various pipe fittings used in everyday fluid transportation.
The fittings are separated from the straight portion of pipping since the losses occurring are
different. The straight portion are major losses while the fittings are minor losses. The minor
losses produce proportional loss coefficients to the defining geometry of the fitting. For example,
the enlargement’s loss coefficient is proportional to the area of the small area pipe divided by the
large area pipe. Accepted values for various fitting geometry is published.
This section discusses the theory and accepted empirical data used for the experiment, briefly but
completely. All equations used are included, with definition of all terms. The way in which the
lab results are used to compare with the theory is described.
Derivations of equations from textbooks are not included. However, if you derive the equations
by yourself, you need to list the derivation in the Appendix section (1).
The equations must be typed, do not use photos, scans from equations, generated by a
mathematical interpreter of your preference; also they must be numbered. For example equation
1 is a very important equation, and equation 2 is a more general form of Equation.
Pipe Network Energy
Losses
Allan Valdez
3
⃗
F
=
m∙
⃗
a
equation 1
⃗
F
=
d
(
m∙
⃗
V
)
dt
equation 2
Procedure and Equipment
The equipment used is described, including device and manufacturer names. Drawings,
identified by figure numbers, are appropriate. The procedure needs to be described in detail (1).
Even though picture may be appropriate to describe the equipment usually it is not enough, you
should describe the main features of the equipment and setting that may affect the experiment
outcome.
Figure 1: H1D Volumetric Hydraulic Bench.. Adapted from ref.
(2)
Figure 1 shows the H1D volumetric hydraulic bench manufactured by TecEquipment. Only show
a picture is not enough, other information may be relevant for the experiment for example:
Equipment:
Volumetric Hydraulic Bench
Your preview ends here
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% ParametersD = 0.1; % Diameter of the tube (m)L = 1.0; % Length of the tube bundle (m)N = 8; % Number of tubes in the bundleU = 1.0; % Inlet velocity (m/s)rho = 1.2; % Density of the fluid (kg/m^3)mu = 0.01; % Dynamic viscosity of the fluid (Pa.s)
% Define the grid size and time stepdx = D/10; % Spatial step size (m)dy = L/10; % Spatial step size (m)dt = 0.01; % Time step size (s)
% Calculate the number of grid points in each directionnx = ceil(D/dx) + 1;ny = ceil(L/dy) + 1;
% Create the velocity matrixU_matrix = U * ones(nx, ny);
% Perform the iterationsfor iter = 1:100 % Calculate the velocity gradients dUdx = (U_matrix(:, 2:end) - U_matrix(:, 1:end-1)) / dx; dUdy = (U_matrix(2:end, :) - U_matrix(1:end-1, :)) / dy; % Calculate the pressure gradients dpdx = -mu * dUdx; dpdy = -mu * dUdy; % Calculate the change in velocity dU = dt * (dpdx / rho); % Update the velocity matrix U_matrix(:, 2:end-1) = U_matrix(:, 2:end-1) + dU; % Apply…
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CS) Flow through a heat exchanger tube is to be studied by means of a 1/10 scale model. If the tmateaangeraarmall, carries widecreme de ratio of pressure losses between the model and the prototype if water is used in the model.
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Povide solutions with complete illustrations
Three reservoirs are connected in a common junction. Following are the pertinent information:
Reservoir A: Elevation 90 m, 1800 m pipe with 400 mm diameter and f = 0.02Reservoir B: Elevation 50 m, 2000 m pipe with 500 mm diameter and f = 0.025Reservoir C: Elevation 10 m, 4000 m pipe with 800 mm diameter and f = 0.03
Determine the flow in each pipe.
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Question 3 of 14
>
0/1
Your answer is incorrect.
Refrigerant 134a enters a well-insulated nozzle at 200 Ibf/in.?, 140°F, with a velocity of 120 ft/s and exits at 50 Ibf/in.? with a velocity
of 1500 ft/s.
For steady-state operation, and neglecting potential energy effects, determine the temperature, in °F, and the quality of the refrigerant
at the exit.
T2 =
i
72.78
°F
X2 =
i
75.9019
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Question 14 of 14
-/1
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As shown in the figure, a 300-ft tank contains 25 lb of H2O initially at 30 lbf/in?. The tank is connected to a large steam line carrying
steam at 200 Ibf/in?, 450°F. Steam flows into the tank through a valve until the tank pressure reaches p2 = 120 lbf/in? and the
temperature is 400°F, at which time the valve is closed.
Steam at
200 lbf/in.².
450°F
Tank
Valve
(1)
Initially:
30 lbfin.?, mı = 25 lb
|(2)
Finally:
Ibfin.?, 400°F.
P2
Determine the amount of mass that enters the tank, in Ib, and the heat transfer to the tank from its…
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English (United Kingdom)
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The following parameters characterise a liquid-fuelled rocket engine: stagnation
pressure P0=100bar; stagnation temperature TO=3300K; nozzle exit diameter DE=1.0m;
throat diameter=0.1 m; gas constant R=692 Jkg-1 K -1; ratio of specific heats
cp/cV=y=1.25. Estimate the following: static pressure at the exit plane, exit Mach
number.
Heading
Focus
Editing
ENG
UK
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Registration number 200
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Question 2 of 14
0.33 / 1
>
As shown in the figure, air with a volumetric flow rate of 17,000 ft/min enters an air-handling unit at 80°F, 1 atm. The air-handling
unit delivers air at 45°F, 1 atm to a duct system with three branches consisting of two 26-in.-diameter ducts and one 50-in. duct. The
velocity in each 26-in. duct is 16 ft/s. Assume steady state operation and ideal gas behavior for the air.
D4 = 50 in.
Duct
T2 = T3 = T, = 45°F
D; = D; = 26 in.
Vz = V3
system
Air-handling unit
1- Pi = P2 = P3 = P4 = 1 atm
T = 80°F
(AV),
Determine the mass flow rate of air entering the air-handling unit, in…
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Py
Flow
FIGURE 6.2 Portion of a fluid distribution system showing
variations in velocity, pressure, and elevation.
Reference level
2.
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Please include mathematical expressions with theoretical explanations.
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26. A horizontal pipe of 150 mm diameter and 200 m
length conveys water from a reservoir to a nozzle
50 mm in diameter. What would be the power
of the jet if the level of water in the reservoir is
15 m above the axis of the pipe? Take friction
co-efficient = 0.01.
Neglect losses in the nozzle. [Ans. 2.31 kW]
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Question No. 17
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Subject : fluid mechanic
Please provide complete solution.
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Editing
Q1. Three types of pin fins. The fins will be subjected to a gas in cross flow at v= 10 m/s. The
cylindrical fin has a diameter of D 20 mm, and cross-sectional area is the same for each
configuration shown in the sketch.
V, T,
V, T,
V, T.
Configuration A
Configuration B
Configuration C
For fins of equal length and therefore equal mass, which fin has largest heat transfer
rate?
%3D
Assume the gas properties are those at T (treat it as air) = 350 K.
Hint: Assume the fin can be treated as infinitely long.
D Focus
stes)
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Do for ARAU - GROUP 1, GROUP 5.
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1.1." In Example 1.1:
(a) Estimate the pressure drop required.
(b) Estimate the pumping power required.
See any fluid mechanics textbook for methods of making these estimates.
Evample 1.1. The area of the Los Angeles basin is 4083 square miles. The heavily
nalluted air layer is assumed to be 2000 ft thick on average. One solution to Los
Angeles' problems would be to pump this contaminated air away. Suppose that we
wish to pump out the Los Angeles basin every day and that the air must be pumped
S0 miles to the desert near Palm Springs. (We assume the residents of Palm Springs
won't complain.) Assume also that the average velocity in the pipe is 40 fu/s. Estimate
the required pipe diameter.
The flow rate required is
АН
4083 mi? 2000 ft (5280 f/mi)?
Q =
Δι
ft'
%3D
24 h
= 2.63 - 10º It
3600 s/h
= 7.46 - 10
and the required pipe diameter is
4- 2.63 - 10° ft/s
D =
= 9158 ft = 2791 m
T: 40 fi/s
This is about three times the height of the tallest man-made structure, and far
beyond our current…
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INCLUDE DETAILED CALCULATION AND EXPLANATION
Suppose you are a group of cadet engineers given by your department manager a “simple” task of choosing an appropriate flow meter to install in a straight horizontal pipeline of the given specifications:
Nominal diameter: 6 inches
Schedule Number: 40
Material of Construction: steel
Water is to flow through the pipeline within the range of 600 to 625 gal/min at a temperature of 27°C.
You have the following choices in terms of the flow meter:
[a] a venturi meter
[b] an orifice meter
[c] a rotameter
[d] a commercial flowmeter of your choice, other than the above-mentioned ones
Which would you recommend?
[1] Base your choice on the following criteria:
[1.a] pressure loss due to the presence of the flow meter
[1.b] relative cost (and ease) of installation
[1.c] relative cost of equipment
[1.d] ease of operation/use
[2] List necessary assumptions and certain specifications of the flowmeter which you have…
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Show diagrams and calculations to support your answer.
Suppose you are a group of cadet engineers given by your department manager a “simple” task of choosing an appropriate flow meter to install in a straight horizontal pipeline of the given specifications: Nominal diameter: 6 inches Schedule Number: 40 Material of Construction: steel Water is to flow through the pipeline within the range of 600 to 625 gal/min at a temperature of 27°C. You have the following choices in terms of the flow meter: [a] a venturi meter [b] an orifice meter [c] a rotameter [d] a commercial flowmeter of your choice, other than the above-mentioned ones Which would you recommend?
Tips: [1] Base your choice on the following criteria: [1.a] pressure loss due to the presence of the flow meter [1.b] relative cost (and ease) of installation [1.c] relative cost of equipment
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2:35 A U
* N a 95%i
This document contains ink, shapes and im..
Data Sheet: F9a: Fluid Mechanics & Bernoulli's Principle
NAME:
DATE:
width port 1 & 3
6.3960E-03
(m)
width port 2 & 4
2.8750E-02
(m)
depth all ports
7.0060E-03
(m)
air density
1.1929
(kg/m³)
Cross sectional area
Data Sheet: F9a: Fluid Mechanics & Bernoulli's Principle
NAME:
DATE:
Density of Air: 1.2129 kg/m3
Table 1: Measured Data for Apparatus
6.3960E-03 m
Chamber Width Port 1 & 3
2.8750E-02 m
Chamber Width Port 2 & 4
7.0060E-03 m
Chamber Depth at all Ports
Width
Depth
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find the:
a. velocity : ____________________ fps b. diameter : ____________________ in.
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