Applications of the Bernoulli Equation
Emberle Lawson
Jess Mendenhall
Jacob Taylor
Michael Spanier
June 30, 2011
Fluid Mechanics IENGR 01342 1
Jesse F. Van Kirk
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Introduction
The most important objective of this lab is to observe fluid flow through a small orifice and
determine the coefficient of velocity. One can compare experimental values with ideal values
derived from Torricelli’s Equation. A broader aspect of the experiment is to understand
Bernoulli’s equation. Bernoulli’s equation is used in many types of every day applications such
as determining the exit velocity of water flowing out of a faucet, or the pressure required to keep
a gate, holding back water, closed. Having the ability to determine pressure, velocity and energy
of fluid flow from one equation is not only useful, but essential to everyday living and safety.
Furthermore, the flow rate of fluid can be experimentally determined using the Armfield Test
Bench. The idea of a large reservoir of fluid is used during this test to make equations such as
Torricelli’s Equation applicable.
Relevant Theory
Bernoulli’s equation was formulated by Daniel Bernoulli who lived from 1700 to 1782. It is
derived from the conservation of energy for fluid flow which says that the sum of mechanical
energy is the same at every point along a streamline. Certain components may differ, but the total
energy remains constant. In order for Bernoulli’s equation to be valid many assumptions must be
made. The fluid is considered to be inviscid, or all viscous effects are neglected. Steady and
incompressible flow is another assumption, along with assuming the flow is applied along a
streamline. Bernoulli’s equation proves that an increase in velocity is proportion to an increase in
pressure. In other words, the lower the pressure the higher the velocity, and vice versa. Perhaps
one of the most fascinating aspects of Bernoulli’s equation is that it can be manipulated to fit
many applications such as a fluid particle flowing on a streamline as opposed to across a
streamline. The coefficient of velocity is a ratio of the actual velocity of a fluid that flows out an
exit over the maximum velocity. This value is largely dependent on the geometry of the exit.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 CAG
 Fluid Dynamics, Fluid Mechanics, Velocity, Bernoulli's principle, actual velocity, Armfield Free Jet Apparatus

Click to edit the document details