Lecture 7 Flashcards

1
Q

Power cycles are ways of

A

converting an energy transfer in the form of heat into an energy transfer in the form of work

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2
Q

petrol engine

A

otto cycle petrol

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3
Q

diesel engine

A

diesel cycle diesel

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4
Q

jet engine and gas turbine

A

brayton cycle kerosane jet gas/oil for gas

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5
Q

coal power station

nuclear power

A

rankine

rankine

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6
Q

heat sink

A

receives energy in the form of heat

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7
Q

heat engine

A

device that takes energy in the form of heat from a hot reservoir converts it into work engine then reject heat to somewhere that is a lower temperature (heat sink)

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8
Q

a heat engine must

A

work between a high temp and a lower temp

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9
Q

thermal efficiency

A

work out/heat high

where work = heat high - heat low

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10
Q

for heat engine itself entropy

A

stays the same since it always remains teh same internally

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11
Q

maximum thermal efficiency =

A

(Thigh - Tlow)/Thigh

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12
Q

what is maximum thermal efficiency known as

A

Carnot efficiency

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13
Q

since some heat from heat source ends in the heat sink the second law can be stated as

A

it is impossible to construct a system that will operate in a cycle, extract heat from a reservoir and do an equivalent amount of work on the surroundings

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14
Q

heat engine works between

A

heat source and a heat sink

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15
Q

area under the T-s diagram

A

Heat in

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16
Q

why is the work out only the top part of the area under ts diagram

A

area on the bottom part is work in, amount of you to put back in to keep cycle going

17
Q

area encoled by the Ts diagram

A

is the work out for a reversible cycle

18
Q

if cycle goes clockwise on Ts diagram net work is

A

out if it goes anticlockwise net work is inwards - no longer power cycle

19
Q

if cycle goes clockwise on pv diagram net work is

A

out if it goes anticlockwise net work is inwards - no longer power cycle

20
Q

carnot cycle comprises of

A
4 reversible processes (can be air or steam)
open system carnot cylce for air
1 isothermal turbine
2 isentropic turbine
3 isothermal compressor
4 isentropic compressor
21
Q

four processes of the carnot cycle

A

1 isothermal expansion W=Q dH=0
2 isentropic expansion Q=0
3 Isothermal compressor W=Q dH=0
4 isentropic compressor Q=0

22
Q

why does the ts diagram prove the carnot cycle is the most efficient

A

made a box

maximum area for given minimum and maximum temperatures

23
Q

carnot cycle complete cycle is reversible if

A

isothermal expansion and compression are reversible and

the expansion and compression are isentropic

24
Q

issues with making a carnot cycle

A

isentropic is impossible and isothermal costs are huge and extremely difficult to engineer

25
Q

carnot cycle all heat added at

A

maximum temperature dS=dQ/T make T as large as possible minimise entropy increase

26
Q

carnot principle

A

Q high/ Q low = Thigh/Tlow

27
Q

given carnot efficiency what would you want to maximise but would struggle to do so

A

Thigh - Tlow to be as big as possible - issues with operating range of materials
T high melting T low freezing

28
Q

Brayton cycle contrains

A

is an open system containing three reversible processes
1 isentropic compressor
2 isobaric heat addition (combuster)
3 isentropic turbine

29
Q

reversible =

A

max output

30
Q

no line between 4 and 1

A

air taken in fresh each time (not quite a cycle)

31
Q

% of turbine power used to drive compressor

A

1 -(net work / total turbine work)

32
Q

net work

A

work out of turbine - work needed to drive compressor

33
Q

add in isentropic efficiency

A

more work into compressor
less work out of turbine
(though do need to put less heat in is compressor output temp is higher)

34
Q

additional step taken when dealing with isentropic efficiencies

A

multiply (or divide) isentropic case temperature difference by efficiency to add (or minus) from starting temperature

35
Q

effect of combustor pressure

A

causes pressure drop across combustor making outlet temperature higher

36
Q

when calculating pressure drop across combustor

A

compressor same
need to calculate need starting pressure for turbine
starting temp will remain same

37
Q

compressor outlet pressure =

A

turbine inlet pressure unless theres pressure drop

38
Q

brayton cycle equations

A

W/Q=mcp(T1-T2)
and polytropic equations
use polytropic equations to find final temperatures and pressure
use isentropic efficiency to correct them
calculate heat in and out