

















































Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
CHAPTER 4 ; BERNOULLI'S EQUATION, DARCY'S LAW, HYDRAULIC CONDUCTIVITY
Typology: Slides
1 / 57
This page cannot be seen from the preview
Don't miss anything!


















































Universiti Tun Hussein Onn Malaysia
Presented By:Assoc. Prof. Ts. Dr. Mohamad Yusri Aman
The property of soils
allows
water
to
pass
through
them
at
some
rate.
is
a
product
of
the
granular
nature
of
the
soil,
although
it
can
be
affected
by
other
factors (such as water bonding in clays)
Different
soils
have
different
permabilities,
understanding of
which is critical to the use of
the soil as a foundation or
structural element
Soil and rock are porous materials
Definition of Permeability
4
Why studying flow of water inporous media ???????
ļ¬
To determine the rate of flow of water through soils
ļ¬
To determine the hydraulic conductivity of soils
The design of earth dams is very much based upon thepermeability of the soils used.
The stability of slopes and retaining structures can be greatly affected by the permeability of the soils involved.
Filters made of soils are designed based upon their permeability
Estimating the quantity of underground seepage
Pavement Drainage
Drainage behind Retaining Walls
Practical application
8
Construction ofthe basement ofthe building
Question?
ļ¬
What causes the flow of water through soils?
ļ¬
What law describes the flow of water throughsoils?
ļ¬
What is hydraulic conductivity and how is itdetermined?
ļ¬
What are the typical values of hydraulicconductivity for coarse-grained and fine-grained soils?
10
11
Flow of Water in Soils depends on ļ¬
Porosity of the soil
ļ¬
Type of the soil (particle size, particleshape
&
degree of packing)
ļ¬
Viscosity of the fluid (Temperature
&
Chemical Components)
ļ¬
Total head (difference in energy) -Pressure head& Elevation head
13
Bernoulliās Equation
datum
z
fluid particle
The energy of a fluid particle ismade of:
velocity
pressure
elevation
(z) with respect to a datum
14
Bernoulliās Equation
Total head
datum
z
fluid particle
Expressing energy in unit of length:
Velocity head
Pressure head
Elevation head
Z
g
2
u
h
2
w
16
Some Notes
If flow is from A to B,
total head
is higher at
A than at B.
water
Energy is dissipatedin overcoming the soilresistance and henceis the head loss.
17
Some Notes
Hydraulic gradient (i)
between A and B is the total
head loss per unit length.
L
H
i
ļ
ļ½
L
H
H
2
1
ļ
ļ½
19
Example for Head and hydraulic gradient
Determine the following: a)
The elevation, pressureand total head at points Aand B
b)
The head loss between Aand B
c)
The hydraulic gradientbetween point A and B
Answers: a) point A =7.13m, point B = 6.38m,
b) 0.75mc) 0.
The head Loss ,
ļ
h
= h
A
=(u
A
/
ļ§
w
A
) ā ((u
B
/
ļ§
w
B
)
Hydraulic gradient,
i
=
ļ
h/L
Where:
A
=
the cross section of soil sample
L
=
the length of the soil sample
h
i
n
is the head at the
inlet
h
out
= the head at the
outlet
Q
= the discharge
q
= the rate of discharge per unit time (t) = Q/t