The document contains several physics equations and example problems from fluid dynamics, thermodynamics, and heat transfer topics. It includes the continuity equation, equations of Torricelli, Bernoulli's theorem, and the heat conduction equation. Example problems calculate flow rates, fluid velocities, pressure changes, and heat transfer across a wall. The document provides the relevant equations and shows the step-by-step working of the example problems.

1. HIDRODINAMICA
ECUACION DE CONTINUIDAD
EJERCICIOS 1:
 
 
 
648124,254
80
314159,01
000314159,0
4000078529,0
159,314
314159,0
000314159,010003114159,0
4
000078539,01000314159,0
000078539,0
000314159,0
01,0
?
1
1
2
3
2
2
222
3
3
2
1
3
2
11
2
2211
2
1
2
1
2
2
1
1































x
Ltsx
Ltss
s
m
Q
s
m
mVAQ
s
cm
s
Lts
s
m
s
m
mQ
s
m
s
m
mVAQ
v
s
m
s
m
VAVA
A
A
A
V
cmQ
s
m
V
cmQ

EJERCICIO 2:

2.  
 
21
2
1
2
2
1
1
1
2
2
2
2
5
5
4
2
2
52
2
64
2
2
62
2
54
2
2
8
2
2
5
2
2
8
2
27
2
2
2
2
2
2211
2
1
2
2
2
1
2
2
2
23
2
13
2
2
3
13
23
2
13
2
23
2
3
2
2
22111
14
5005001176
3959797975,0
0004,0
000158391,0
5839191,10001,00004,0
58391919,1
5088,2
105,7
105,7
108816,1
108105108816,1
105108108816,1
101
500
108816,1
101
500
5001176
106,1
0001,0
500
5001176
0004,0
500
5001176
5005001176
5005001176
500500109,102285,103
500109,102500103285
08,08,910001000
2
1
1013252,08,910001000
2
1
101325
2
1
2
1
VV
V
s
m
V
V
s
m
V
V
s
m
V
VX
X
X
VXVXX
VXVX
V
V
V
V
V
V
VAVA
V
V
VV
V
m
kg
V
m
kg
V
m
kg
V
m
kg
V
m
kg
V
m
kg
V
m
kg
V
m
g
hgPVPPhgPVPP




























































3.  
 
 
 
1
1
2
1
2
1
2
1
2
2
1
2
1
2
1
2
2
39597979,0
7500
1176
75001176
155001176
165001176
45001176
5001176
V
s
m
V
V
V
VV
VV
VV







ECUACION DE TORRICELLI
Ejercicio 1:
 
 
mh
h
h
1326,0
2,1
4
15,0
15,02,1
4
2
2






15,0
150
10001 3



x
Ltrsx
Ltrsm
  
hgV
s
m
V
m
s
m
V



2
60.1132,08,92
132,08,92
Ejercicio 2:
 
 
 
2
2
2
1
1
9,420
9,42
9,4
t
ttp
tPtP
tVtP
y
Y
x





4. ts
t
t







638876,0
9,4
2
9,4
2
 
    
  mP
P
s
m
tP
x
X
x
,43,163,0
63,0257,263,0
6388,0257,2



TEOREMA DE BERNOULLE
EJERCICIO 1:
 
s
m
V
V
V
V
V
m
g
paV
m
g
xx
m
g
m
s
m
xV
m
g
hgPVPPhgPVPP
99,21
7.483
500
850.241
500
125.111975.352500
975.352111125500
975.352800,9500101325
58,9100001000
2
1
30397518,910001000
2
1
101325
2
1
2
1
1
1
2
1
2
1
2
13
2
13
2
22
2
13
2
2
221
2
11


























TRANSFERENCIA DE CALOR POR CONDUCCION
Ejercicio 1:
 
 
m
T
cm
w
m
w
e
TTK
A
q
02,0
250
2010 1
2
5
21






5. 1
1
1
350
250100
250100
Tc
Tcc
Tc





