Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2014
ME 320
Lecture 29
Momentum Equation (cont.)
Ch 9.49.5
Alexander S Rattner
Week Plan
Last Week
Internal flows (conclusion)
Differential analysis of flows (Intro)
Continuity equation
This Week
Differential analysis of flow
2
Outline
Last Class
Derive
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2015
Temperature Measurements
A change in temperature generates an EMF (induced voltage)
A thermocouple is a junction (spot welded) between two dissimilar
metal wires.
Connecting thermocouple to voltmeter via a copper wire will
introduce an additional (cold
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2015
Instrumentation Introduction
1.
2.
3.
4.
5.
Experiments are usually difficult
Areas of application (experiments, sensors,
instruments)
Research (Basic)
Product development (R&D), prototype testing
Control and Automation . . .
Monitoring (process, machine)
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2015
Wheatstone Bridge
Known
resistors
(ratio arms)
Normally used to
measure resistance
change in the range of 1
to 1 M .
The bridge is balanced
(by varying R1)
potential difference
between points B and D
is zero voltage drop
across R2 = voltage drop
across
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2015
A linear system can be modeled by the following
differential equation of order n:
dnx
d n1 x
dx
an n an1 n1 . . . a1 a0 x F (t )
dt
dt
dt
First order system:
dx
a1 a0 x F (t )
dt
Second order system:
d 2x
dx
a2 2 a1 a0 x F (t )
dt
dt
1
StepForced FirstO
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2014
ME 320
Lecture 27
Introduction to Differential Analysis of Flows
Chapters 9.19.2
Alexander S Rattner
Week Plan
Last Week
Internal flows (end for exam 2)
This Week
Differential Analysis of Flows (Mass, momentum
analysis)
2
Outline
Last Class
Modeling a
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2014
ME 320
Lecture 30
Navier Stokes Solutions
Chapter 9.6
Alexander S Rattner
Week Plan
Last Week
Differential analysis of flows (Intro)
Continuity and momentum equations
This Week
NavierStokes examples
Intro to CFD
2
Outline
Last Class
Inviscid momentu
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2014
ME 320
Lecture 31
More Navier Stokes Solutions
Chapter 9.6
Alexander S Rattner
Week Plan
Last Week
Differential analysis of flows (Intro)
Continuity and momentum equations
This Week
NavierStokes examples
Intro to CFD
2
Outline
Last Class
Laminar fal
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2014
ME 320
Lecture 32
Computational Fluid Dynamics  Intro
Chapter 15
Alexander S Rattner
Week Plan
Last Week
Continuity equation and examples
Differential momentum analysis
(Euler Equations, NavierStokes Equations)
This Week
Navier Stokes exact solutions
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2014
ME 320
Lecture 28
Inviscid Momentum Equation
Chapters 9.2, 9.4
Alexander S Rattner
Week Plan
Last Week
Internal flows (conclusion)
Differential analysis of flows (Intro)
Continuity equation
This Week
Differential analysis of flow
Exact solutions
2
Ou
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2014
ME 345:StatInstrMeas (3)
Zoubeida Ounaies
Mechanical and Nuclear Engineering,
Penn State University, University Park, PA
Reading module
CLOSED LOOP OPAMP CIRCUITS
Inverter
Purpose: Invert (change the sign) of a
signal without amplificatio
Instrumentation, Measurements, and Statistics EXAM T 6:00 PM
M E 345W

Spring 2016
Laboratory
Digital Storage Oscilloscope
Conducted on: 2/4/15
Abstract:
1
The objective of this experiment is to become familiarized with signal acquisition
and analysis using a Digital Storage Oscilloscope (DSO), and the Training 1 signal board.
Through p