based on the “project proposal attached: DETERMINATION OF THE RELATIONSHIP BETWEEN VELOCITY AND CROSS SECTION AREA IN HYDRAULIC LIFTS” Compare the behavior of two actual lifts Or maybe try and optimize two? Does head loss have any effect? This project is not very restricted on any concepts if all the instructions were followed the most important thing is numbers and calculations should be included may be graphs also if possible. Analyze, Interpret and evaluate the system following the instruction attached. the concepts that you might want to include are: Constructing Complete Mathematical Formulations of Physical Systems, Fluid Systems, Fluid Statics, Transport Theorem, Continuity, Momentum, Energy, Fluid Kinematics, Bernoulli Equation, Dimensional Analysis, Internal Flo or External Flow.
project_proposal.pdf
instructions.pdf
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HYDRAULIC MACHINES
Introduction
Hydraulic machines fall under the category of hydraulics, which is the science that deals with
power transmission through confined liquids [1]. Hydraulics is a branch of fluid mechanics and it
falls in the category hydrostatics. Examples of hydraulic machines are; hydraulic lifts, car jacks,
car brakes, hydraulic press etc. Fig 1 shows a simplified diagram of a hydraulic lift.
Fig 1
Hydraulic machines make use of Pascal’s law which states that pressure in fluids is transmitted
undiminished and acts perpendicular to the surface of the containing vessel [2].
This project will focus more on hydraulic lifts. Hydraulic lifts work under the principle formula
P=F/A, where P is the pressure, F is the force and A is the cross section area of the piston or
internal cross section area of the cylinder.
Methodology
This project proposes to determine how velocity of piston 2 in a hydraulic lift is affected by the
cross section area of the piston 1 and piston 2 by comparing the results when the cross section
area of piston1 and 2 are varied. The governing formula in this project is:- Q = A* V, where Q is
the volume flow rate, A is the cross section area of piston or cylinder and V is the velocity of
piston. Q is constant between cylinder 1 and cylinder 2. Therefore when A is varied V also
varies. Figure 2 shows a simple hydraulic cylinder that will be used in this analysis.
Fig 2
ENGR 3553: Mechanics of Fluids
Individual Project Proposal
Due: March 24, 2017 at 11:59 PM
Individual Project
Project Overview:
For the semester project, you will be analyzing a fluid system that interests you. Specifically, you
will select a system that:
1. Interests you!
2. Can be described using the concepts we’ve learned in this course:
Your task will be to estimate and compare the behavior of two systems. For example, if you’re
interested in dams, you could compare the fluid statics designs as well as their power output.
Project Requirements:
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Perform an analysis of two devices or systems. Use the fluids concepts we have
learned in class to derive specific equation(s) that govern the behavior of the system.
Compare two systems: how do the parameters in your equation(s) affect the
performance? Is one system “better” than the other? Why? Are there some cases in
which one outperforms the other, and other situations where the result is the
opposite?
Alternative: optimize a single system
Text
Report Submission (What you should turn in by Friday 3/24 at 11:59)
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Introduce your problem: what is the system/device and why are you interested?
Present your analysis: the work you did to arrive at the governing equation(s) for the
system (this may be neatly handwritten). Include relevant diagrams with labels.
Discuss the effects of the parameters on the system. Consider using graphs and tables to
explain your findings and illustrate trends.
You may use bullet points or paragraph format. The goal is to communicate clearly and concisely.
The 4 overall things I am looking for:
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(20%) Did you analyze real-world devices or systems?
(40%) Did you derive governing equations that are relevant to the performance or
behavior?
(20%) How did you find the numbers you substituted into your equations. This will require
creativity, as the dimensions of most systems are not openly available. What was your
process for estimating?
(20%) Did you illustrate the effect of the system parameters on its behavior?
…
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