Institute of Engineering Pulchowk Campus
Department of mechanical Engineering
II Year I Part
Engineering Mechanics
Time 3 hrs
Full Marks : 80
Set C
Pass Marks: 32
1.
a. If cylinders B and C have a mass of 15 kg and 10 kg respectively, determine the
requir
EN 686
pollution
Groundwater hydrology and
Lecture 3
Review Lecture 2
Movement of water through soils Darcys law q=ki, Q=kiA
Specific discharge is not the true velocity of a particle in a porous medium. The actual velocity a
particle travels through a por
EN 686
Groundwater hydrology and pollution
Lecture 8
Well Flow Near Aquifer Boundaries
Combined discharge or discharge due to both wells
When a well is pumped near another aquifer boundary, the assumption that the aquifer is of infinite
areal extent does
Groundwater hydrology and pollution
EN 686
Lecture 10
Pulse source in 3-D for one-dimensional velocity with decay:
C(x, y, z, t) =
C 0V0
3
1
8t 2 D x D y D z 2
x vt 2
y2
z2
exp
t
4Dx t
4D y t 4 Dz t
C0: original concentration
V0: original volume
: fir
EN 686
Groundwater hydrology and pollution
Lecture 9
Contaminant transport
Mass transport in Saturated Porous media
Transport processes
The main transport processes of concern in groundwater include advection, diffusion, dispersion,
adsorption, biodegrada
Groundwater hydrology and pollution
EN 686
Lecture 5
Equation of Groundwater Flow
Development of the Fundamental Equation of Groundwater Flow
The derivation of the fundamental equation for groundwater is based on mass balance principles
and Darcys law.
Co
EN 686
Groundwater hydrology and pollution
Lecture 4
Review
Spatial variations of hydraulic conductivity
Equivalent hydraulic conductivity
Hydraulic conductivity in a specific direction
Total Stress, Effective Stress, and Pore Water Pressure
Flow Nets and
Q
T
b
R
s
2725.244 m3/day
2400 m2/day
40 m
800 m
Due to
Well 1
Well 2
Well 3
Drawdown in m
Well 1
Well 2
Well
1.50
0.25
0.25
1.50
0.13
0.25
3
0.13
0.25
1.50
2m
Total Drawdown
1.87
2.00
1.87
From
Well 1
Well 2
Well 3
Distance
Well 1
Well 2
Well 3
0.2
200
4
EN 686
Groundwater hydrology and pollution
Lecture 1
Introduction to Groundwater Hydrology
Groundwater Hydrology: is the science of occurrence, distribution and movement of water
below the surface of the earth.
Other names that fit the same definition:
Ge
EN 686
Groundwater hydrology and pollution
Lecture 2
Movement of Groundwater
The direction and velocity with which a fluid moves in any medium depends on the hydraulic
head difference and fluid potential. We will first derive expression for these variable
CHAPTER 1 VIRTUAL WORK
1.1 Work is said to be done when a body moves in the direction of applied Force. When a system of forces does not
actually create a motion then we solve the balance of Forces by the method of virtual work. No displacement is
analyze
Chapter: 7 Work Energy Method
Introduction:
Method of work and energy and the method of impulse and momentum will be used to analyze
the plane motion of rigid bodies and systems of rigid bodies.
Principle of work and energy is well suited to the solution
Tutorial 3: Kinetics of Particles: Work Energy Principles
1. Packages are thrown down an incline at A with a velocity of 1.2 m/s. The packages slide along
the surface ABC to a conveyor belt which moves with a velocity of 2.4m/s. Knowing that
k=0.25 betwee
Institute of Engineering Pulchowk Campus
Department of mechanical Engineering
II Year I Part
Engineering Mechanics
Time 3 hrs
Full Marks : 80
Set B
Pass Marks: 32
1.
a. The winding drum D is drawing in the cable at an accelerated rate of 5m/s 2. Determine
Tutorial: 2(b)
Kinetics of
1.
Particles: Force, Mass and Acceleration
The
mass of
the two cars each with mass 300 kg. If the
truck is F=480 N, determine the initial
What
is
the
the coupling at C
2.
3.
4.
5.
6.
7.
8.
baggage truck A has a
800 kg and is use
1
Tutorial: 1. Virtual work
1. A slender rod of length l is attached to a collar at B and rests on a portion of a circular
cylinder of radius r. Neglecting the effect of friction, determine the value of
corresponding to the equilibrium position of the me
= r x F = r F sin
p
t
x x f xi
Average velocity v = =
t t f t i
F=
Average acceleration =
I = F t = p
v f vi
v
a =
=
t
t f ti
= I (Analogous to F = ma)
Rotational KE = I 2
v = u + at (for constant acceleration, a)
L=I
v2 = u2 + 2as (for constant accele
Chapter 4: Impulse and Momentum (Tutorial) (Figure number and question number is matched)
1. A 10-kg package drops from a chute into a 25-kg cart with a velocity of 3 m/s.
Knowing that the cart is initially at rest and can roll freely, determine (a) the
f
EN 686
Groundwater hydrology and pollution
Lecture 6
Applications of Groundwater Flow Equations
Groundwater flow to wells
Basic assumptions
1.
2.
3.
4.
the aquifer is bounded on the bottom by a confining layer
all geological formations are horizontal and