NOTES
NOTES: COMPLEX NUMBERS
ENGINEERING MATHEMATICS 2
MANIPAL INTERNATIONAL UNIVERSITY
COMPILED
By
Prof Amer N Darus
Department of Mechanical Engineering

MASS AND ENERGY
BALANCE
(EKB-1023)
Lecture Notes Compiled by Dr. Soundarajan Krishnan
DRYING
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture N

MASS AND ENERGY
BALANCE
(EKB-1023)
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Crystallisation
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan

MASS AND ENERGY
BALANCE
(EKB-1023)
Lecture Notes Compiled by Dr. Soundarajan Krishnan
DISTILLATION
Distillation is used in chemical industries for the
separation of components of a liquid mixture by
vaporization and condensation.
Distillation with recti

Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Recycle:
Recycling is a process in which a portion of the
stream leaving the process is separated from the
products and fed back to join the reactant
str

Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan
PHYSICAL QUANTITIES AND DIMENSIONS
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Co

Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Mass, Mole and Molecular weight
Mole = Mass
Molecular weight
Eg.
Mole of NaCl = Mass of NaCl
Molecular weight of NaCl
Lecture Notes Compiled by Dr. Sound

School of Science and Engineering
Page 1 of 2
MANIPAL INTERNATIONAL UNIVERSITY, MALAYSIA
Quiz II Solution
EKB 2063 MOMENTUM TRANSFER
Date: 29th November 2016
Duration: 30 mins
Total: 25 marks
1.
[1 mark]
[2 marks]
[1 mark]
[2 marks]
[1 mark]
School of Sci

MASS AND ENERGY
BALANCE
(EKB-1023)
Lecture Notes Compiled by Dr. Soundarajan Krishnan
MASS AND ENERGY
BALANCE
LECTURE NOTES 4
& SOLUTIONS TO
TUTORIAL 4
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan
S

MASS AND ENERGY
BALANCE
(EKB-1023)
Lecture Notes Compiled by Dr. Soundarajan Krishnan
EVAPORATOR
Evaporators are used in chemical industries for
the concentration of a weak solution to produce a
concentrated solution (thick liquor) by
evaporating some so

Lecture Notes Compiled by Dr. Soundarajan Krishnan
Lecture Notes Compiled by Dr. Soundarajan Krishnan
Psychrometric Chart for Air-Water system:
The properties of Air-Water system can be plotted in a
chart known as psychrometric chart.
These charts are use

C H A R A C T E R A R R AYS
- STRINGS
Strings
Definition
A string is an array of characters.
Any group of characters (except double quote sign) defined
between double quotation marks is a constant string.
Character strings are often used to build meani

Method to Balance Career Life and Family
Career life and family have become the main factor in our life.We need a career
in order to cover the expenses of everyday life.Furthermore,we must also taking into
account the importance of family so that our resp

Tutorial Set 05
Engineering Maths II
FiS, School of Sciences and Engineering
Manipal International University
Nilai, Negeri Sembilan, Malaysia
Vector Analysis Vector Value Function
Answer all Questions
A vector function can be written as follows,
r(t) = (

Answer all Questions
Q1.1
st
a. The time response of a measuring instrument is governed by the 1
order ordinary differential equation,
Assignment Set 01
Engineering Mathematics 03
SOSE, Manipal International University
NIlai, Negri Sembilan, Malaysia
dy/d

Tutorial Set 05
Engineering Mathematics 11
School of Engineering and Bussiness
Maipal International University
Nilai, NS, Malaysia
On Determinant
Each square matrix A = [aij] is assigned a special scalar called the
determinant of A, denoted by det(a) or I

A R R AYS &
STRINGS
Arrays
Definition:
An array is a group of related data items that share
a common name.
The array elements are placed in a contiguous memory
locations.
A particular value in an array is indicated by writing an integer
number called i

CONTROL
STRUCTURES
for statement additional features
Nesting of loops
o break, continue and exit( )
Overview
/ initialization
while (test condition)
cfw_
body of the loop
/ increment
Control Structures
while
do-while
for
/ initialization
do cfw_
bod

CONTROL
STRUCTURES
while
do while
for statement
DECISION MAKING AND LOOPING
CONTROL STRUCTURES
ITERATIVE OR REPETITIVE
while statement and example programs
do while statement and example programs
for statement and example statements
break and contin

2 - D A R R AYS
2 Dimensional Arrays
Multi Dimensional Arrays
2 dimensional Arrays
It is an ordered table of homogeneous elements.
It can be imagined as a two dimensional table made
of elements, all of them of a same uniform data type.
It is generall

Test 1
Engineering Mathematics 03
SOSE Manipal International University
Nilai, Negeri Sembilan, Malaysia
Answer all Questions.
dy/dx + xy = x
+
= 0, 0 <x <1, 0 < y < 1
With the following boundary conditions
Q1.1
a. Solve the 1st ODE,
i.
dy/dx = (x2 + 3y2)

Momentum Transfer EKB 2063
Tutorial 9 Flow past immersed body
1. Assuming the cross-sectional area of a passenger car to be 2.7 m 2 with a
drag coefficient of 0.6, estimate the energy requirement at a speed og 60
km/h. Assume the weight of car to be 30 kN

School of Science and Engineering
Page 1 of 4
MANIPAL INTERNATIONAL UNIVERSITY, MALAYSIA
Test 1 Solution
EKB 2063 MOMENTUM TRANSFER
Date: 26th October 2016
Duration: 1.5 hrs
Total: 50 marks
1. Newtonian fluids, Non Newtonian fluids Dilatant fluid, bingham

NOTES : Partial Differential Equations
ENGINEERING MATHS III
MANIPAL INTERNATIONAL UNIVERSITY
Compiled
by
Prof Amer N Darus
Department of Mechanical Engineering

11
Introduction to the Fourier Transform and
its Application to PDEs
This is just a brief introduction to the use of the Fourier transform and
its inverse to solve some linear PDEs. Actually, the examples we pick just
reconfirm dAlemberts formula for the

1
EKB 2063 MOMENTUM
TRANSFER
Lecture 3 Fluid static and its
application
2
Overview
Fluid statics
Pressure
Pressure head of a liquid
Pascals law
Absolute and gauge pressure
Hydrostatic paradox
Measurements of pressure
Manometers
Mechanical gauges