2. We assume here Ideal Fluids
Ideal fluids are
Have steady flow: the velocity of the moving fluid at any fixed point does not change with time
Incompressible flow: constant density
Nonviscous flow: no resistance from fluid
Irrotational flow: no rotation about center of mass 2

3. 14-6 The Equation of Continuity
Fluid speed depends on cross-sectional area
Because of incompressibility, the volume flow rate through any cross-section must be constant
We write the equation of continuity: 3

4. 14-6 The Equation of Continuity
We can rewrite the equation as:
Where RV is the volume flow rate of the fluid (volume passing a point per unit time)
If we multiply by the density to get the mass flow rate Rm : 4

5. Volume flow rate in = Volume flow rate out
= 2+6+X
X= 13 cm3/s outward direction

7. 14-8 Bernoulli's Equation
Figure represents a tube through which an ideal fluid flows
Applying the conservation of energy to the equal volumes of input and output fluid:
P 1, P 2 : pressures at 1 and 2, respectively.
ρ : fluid density
v1 and v2, flow speed at 1 and 2, respectively.
y1 and y2 heights from reference point 7

8. 14-8 Bernoulli's Equation Equivalent to Eq. 14-28, we can write:
These are both forms of Bernoulli's Equation
Applying this for flow through a horizontal pipe: 8

9. All tie
(b) 1, then (2,3 tie), then 4 (the wider end is slower)
(c) 4, 3, 2, 1 (wider and lower mean more pressure)