Lecture 3 Flashcards

1
Q

what is bernoullis equation derived from

A

forces acting on a fluid element apply newtons 2nd law

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2
Q

bernoullis very similar to

A

first law of thermodynamics

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3
Q

assumptions for bernoullis equation

A

ideal fluid (inviscid) (though modified later to include losses)
steady state
incompressibly
1D uniform flow

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4
Q

bernoullis equation

A

pressure energy + kinectic energy + potential energy = total enery (constant)

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5
Q

bernoullis equation pressure formalism

A

pressure + 0.5densityC^2 + density * g * height = constant

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6
Q

for gases what term can cancel out of bernoullis equation and why

A

potential energy term as density is small therefore can remove

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7
Q

fan delivery pressure

A

pressure straight after fan (anything about deliver is the fluids characteristics straight after the fan)

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8
Q

if delivering to large vessel what is velocity in the vessel

A

0

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9
Q

litres to m^3

A

divide by 1000

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10
Q

if velocity increases then

A

pressure must decrease

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11
Q

if cross sectional area increases

A

velocity decreases

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12
Q

cavitation occurs when

A

pressure gets so low that liquid starts to boil (due to high velocity)

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13
Q

SFEE

A

steady flow energy equation (bernoullis equation with losses)

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14
Q

major losses due to

A

roughness of pipe

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15
Q

relative roughness

A

roughness/diameter

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16
Q

SFEE assumptions

A

incompressible fluid
steady state
2D flow
could be turbulent

17
Q

where do pressure losses come

A

frictional effects
inertial losses
dissipation of energy by turbulence

18
Q

frictional losses

A

due to viscosity (low flow rates)

19
Q

inertial losses

A

movement of the fluid (turbulence high flow rate)

20
Q

work and energy from SFEE

A

times everything by volume flow rate = heat in + (- work done by the system) or heat in plus work done on the system

21
Q

reservoir

A

C = 0

22
Q

actual work =

A

work with no losses / efficiency

23
Q

first law of thermodynamics

A

energy cannot be created nor destroyed merely converted from one form to another

24
Q

mass flow rate =

A

density * volume flow rate

25
Q

laminar flow down a pipe use

A

poiseuille equation which simplifies down to change in pressure = 64/Re

26
Q

volume flow rate symbol

A

V with dot over the top or Q

27
Q

if working out pressure required to maintain flow rate what must be added

A

pressure due to major and minor losses plus the pressure needed to accelerate the flow to desired flow rate