Laplace Transformation
1. Basic notions
Definition
For any complex valued function f defined for t > 0 and complex number s, one defines
the Laplace transform of f (t) by
Z
F (s) =
est f (t) dt,
0
if the above improper integral converges.
Notation
We use
FORMALIZED
Volume
MATHEMATICS
13, Number 3, Pages 383387
University
of
Bialystok, 2005
Formulas and Identities of Inverse
Hyperbolic Functions
Xiquan Liang
Qingdao University of Science
and Technology
China
Fuguo Ge
Qingdao University of Science
and Techn
2.4
The Hyperbolic Functions
These are constructed from the exponential function, but obey identities closely analogous
to those satisfied by the corresponding trigonometric functions (obtained by dropping the
final h).
2.4.1
Definitions
cosh x =
sinh x =
Common Laplace Transform Pairs
Time Domain Function
Name
Definition*
(t )
Unit Impulse
Unit Step
(t)
Unit Ramp
t
Parabola
t2
Exponential
e at
1
(1 e at )
a
Asymptotic
Exponential
1
e at e bt
ba
1
1
1
be at ae bt
ab a b
Dual Exponential
Asymptotic Dual
A LABORATORY REPORT
ON
FILM AND DROP-WISE
CONDENSATION
Submitted by
OLANIYI, Olufemi, Abimbola
964425
Group 2
In partial fulfillment of the requirement for CHE 504, Chemical
Engineering Laboratory III
July 2002
LETTER OF TRANSMITTAL
Department of Chemical
A Laboratory Report
on
REYNOLDS NUMBER EXPERIMENT
Submitted by
FABIYI Samuel Olukorede
CHM/2003/038
Submitted to
Mrs E.F Aransiola
In partial fulfillment of the requirement for Unit Operations
Laboratory (CHE504)
Department of Chemical Engineering, Obafem
THE
REYNOLDS
NUMBER
AND
TRANSITIONAL
FLOW
EXPERIMENT LABORATORY MANUAL
Objectives
The objective of the experiment is to observe the transition of the flow from laminar
to turbulent; to calculate at which Reynolds Number it occurs, and repetitively verify
ABSTRACT
The rate of chemical reaction can be defined as the rate of disappearance of a particular
reactants (limiting reagent) per unit time. The kinetics of a chemical reaction is predicted with a
rate of equation of a specific order which is considered
ABSTRACT
This experiment reports on results of investigation into how water flow rates
affect pressure drop across a packed column which is used and applied in virtually all
process equipments.
The experiment was conducted in three sections; dry air runs,