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SGM 311 Chapter 2 notes
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2 equations lthoeoreens-
L j
ENERGY EQTN FLOW EQTN
Bernoulli's equth Davcys Law
① Bernoulli's equation
Kinetic
Energy =
energy t potential energy
t pressure
energy ÷ volume
O
height
+
42MW - -
= V Mw Gt t U
+
volume volume
F
O t Ww . Z T U
V
=
O t Tw Z t U
l
U
-
h = Z t
Bernoulli's equation
yw
* quantify energy of water -3
energy per volume of water
Cbc .
its a continuum ,
not finite volume
work ( energy ) =
t.sc
= Ck Asc
Are
Energy ( volume = U = U
-
-- A Asc
Oss section
[ F
u BB c-
it
7C
* U -
water pressure
, l
U
-
h = Z t Bernoulli's equation
yw
Symbol Name meaning
h Total head 1 Total energy
Potential
7 Elevation head Height above a datum
4- Piezo metric head Height in
a piezometer
8W
, DARCY 'S LAW
q
= u (F) A
q= flow rate
k =
permeability
- -
→
c o a rs e son = T
permeability
↳ contribution of soil
oh =
change in potential 1 energy loss
( total
energy I head)
L -
length of flow path
A : X -
sectional area .
*
only focus on saturated soil
A
section .
e
cross \ I
\ I
u
find effect on flow
when
→
→ rate
changing
- k → these parameters
g q
→ →
water
exiting
=
water
entering
-¥
* calculate
energy where water enters this
. t where exits cha )
'
c
oh = h, -
42
\ Parameter increase q : T It
A :
P t a -
a
'
D 9 - le
C: I b energy drstirib over longer distance
D
8h I T q x oh
k t p
q = A Lte) Okk
q
X A
q= CA
= k
COLA
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