Lecture 3 Flashcards
what is bernoullis equation derived from
forces acting on a fluid element apply newtons 2nd law
bernoullis very similar to
first law of thermodynamics
assumptions for bernoullis equation
ideal fluid (inviscid) (though modified later to include losses)
steady state
incompressibly
1D uniform flow
bernoullis equation
pressure energy + kinectic energy + potential energy = total enery (constant)
bernoullis equation pressure formalism
pressure + 0.5densityC^2 + density * g * height = constant
for gases what term can cancel out of bernoullis equation and why
potential energy term as density is small therefore can remove
fan delivery pressure
pressure straight after fan (anything about deliver is the fluids characteristics straight after the fan)
if delivering to large vessel what is velocity in the vessel
0
litres to m^3
divide by 1000
if velocity increases then
pressure must decrease
if cross sectional area increases
velocity decreases
cavitation occurs when
pressure gets so low that liquid starts to boil (due to high velocity)
SFEE
steady flow energy equation (bernoullis equation with losses)
major losses due to
roughness of pipe
relative roughness
roughness/diameter
SFEE assumptions
incompressible fluid
steady state
2D flow
could be turbulent
where do pressure losses come
frictional effects
inertial losses
dissipation of energy by turbulence
frictional losses
due to viscosity (low flow rates)
inertial losses
movement of the fluid (turbulence high flow rate)
work and energy from SFEE
times everything by volume flow rate = heat in + (- work done by the system) or heat in plus work done on the system
reservoir
C = 0
actual work =
work with no losses / efficiency
first law of thermodynamics
energy cannot be created nor destroyed merely converted from one form to another
mass flow rate =
density * volume flow rate
laminar flow down a pipe use
poiseuille equation which simplifies down to change in pressure = 64/Re
volume flow rate symbol
V with dot over the top or Q
if working out pressure required to maintain flow rate what must be added
pressure due to major and minor losses plus the pressure needed to accelerate the flow to desired flow rate