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Air-conditioning 1.Dry Bulb Temperature(tdb)-mixture of dry air and water vapor superheated 2. Wet Bulb Temperature(twb) - mixture of dry air and water vapor saturated 3.Dew Point Temperature(ts) –condense if air cooling under constant pressure. 4. Humidity Ratio =m(water)/m(air)=0.622P(water)/P(air) 5. Relative Humidity = P(water)/P(air) Air-conditioning Processes: Cooling and Dehumidification, Re-heating, Adiabatic Mixing, Fan, Part Load Control Sensible Heat Change (no change in water vapor content) Qs=m(hx-h1)= mCp(tdbx-tdb1) ; Latent Heat Change Qt=m(hx-h1)=mΔh(ωx-ω1) ; Determination of Sensible and Latent Cooling Loads (all unit in W NOT kW) 1.Mean Solar Heat Gain = ---- directly through the window Mean Solar heat gain(W) Mean Solar Intensity(W/m²) S Solar gain factor of glazing Sunlit area of glazing (m²) 2.Mean Casual Heat Gain = all source x using time / 24 --- 3. = + 4. Mean Internal Environmental Temperature ( ) -- = (∑ + )( ) -- = 0.33 exposed to outdoor air(cal wall+window), mean outdoor air temperature (daily mean monthly) 5. Swing in solar heat gain = ( ) --- alternating factor, peak intensity 6. Swing in casual heat gain = ℎ − ---- =0 for lightweight 7.Swing in heat gain air to air = (∑ + ) ---- cal window only, swing air temperature 8. = + + , Peak temperature: = (∑ + ) – cal all surface including partition 9. = (∑ + )( )+ --- exposed to outdoor air(cal wall+window) 10. Latent load due to infiltration ∆h = ℎ −ℎ ,--- specific enthalpy of outdoor air according to dry-bulb temperature and relative humidity , specific enthalpy of air at the desired dry-bulb temperature and relative humidity ∆h =ℎ −ℎ ,--- ∆h change in specific enthalpy of dry air of room, specific enthalpy of dry air component of ambient air from its dry-bulb temperature, specific enthalpy of dry air at the desired dry-bulb temperature, = ̇ (∆h − ∆h ) and ̇ = /3600 ,--- small v is specific volume of air Latent load due to occupancy = , = + Mass flow rate and air supply (All unit in kW NOT W) ̇ = ̇ ,--- ̇ mass flow rate supplied into room, permissible dry-bulb temperature rise case 1: ̇ > ̇ , ̇ =̇ − ̇ , ̇ = /3600 case 2: ̇ < ̇ , = ̇ / ̇ ̇ = ̇∆∆ℎ , moisture to be picked up, ∆ℎ latent heat of evaporation = − ∆ , moisture supplied into room via air-conditioning, desired moisture kg/kg Refrigeration System Evaporator (4-1): Q 41 = (ℎ 1 −ℎ 4 ) ; Compressor (1-2): 12 ̇ = ̇(ℎ 1 −ℎ 2 ), S 1 =S 2 Condenser (2-3): Q 23 = (ℎ 3 −ℎ 2 ) ; Throttle Valve (3-4) 3 =ℎ 4 , 倒梯形 COP = Q 41 12 ̇ = ( 1 4 ) 1 2 ; Refrigeration effect RE = Q 41 ̇ = 1 −ℎ 4 Isentropic Turbine efficiency n = = 2 1 2 1 ; S 2 =S 1 ,actual S 2 >S 1

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  • Air-conditioning

    1.Dry Bulb Temperature(tdb)-mixture of dry air and water vapor superheated 2. Wet Bulb Temperature(twb) -

    mixture of dry air and water vapor saturated 3.Dew Point Temperature(ts) condense if air cooling under

    constant pressure. 4. Humidity Ratio =m(water)/m(air)=0.622P(water)/P(air) 5. Relative Humidity =

    P(water)/P(air)

    Air-conditioning Processes: Cooling and Dehumidification, Re-heating, Adiabatic Mixing, Fan, Part Load Control

    Sensible Heat Change (no change in water vapor content) Qs=m(hx-h1)= mCp(tdbx-tdb1) ; Latent Heat Change

    Qt=m(hx-h1)=mh(x-1) ;

    Determination of Sensible and Latent Cooling Loads (all unit in W NOT kW)

    1.Mean Solar Heat Gain = ---- directly through the window

    Mean Solar heat gain(W) Mean Solar Intensity(W/m) S Solar gain factor of glazing Sunlit area of

    glazing (m)

    2.Mean Casual Heat Gain = all source x using time / 24 --- 3.

    = +

    4. Mean Internal Environmental Temperature ( ) --

    = ( + )(

    ) -- = 0.33

    exposed to outdoor air(cal wall+window), mean outdoor air temperature (daily mean monthly)

    5. Swing in solar heat gain = ( ) --- alternating factor, peak intensity

    6. Swing in casual heat gain = ---- =0 for lightweight

    7.Swing in heat gain air to air = ( + ) ---- cal window only, swing air temperature

    8. = + + , Peak temperature: = ( + ) cal all surface including partition

    9. = ( + )(

    ) + --- exposed to outdoor air(cal wall+window)

    10. Latent load due to infiltration

    h = ,--- specific enthalpy of outdoor air according to dry-bulb temperature and relative

    humidity , specific enthalpy of air at the desired dry-bulb temperature and relative humidity

    h = ,--- h change in specific enthalpy of dry air of room, specific enthalpy of dry air

    component of ambient air from its dry-bulb temperature, specific enthalpy of dry air at the desired

    dry-bulb temperature, = (h h) and = /3600 ,--- small v is specific volume of air

    Latent load due to occupancy = , = +

    Mass flow rate and air supply (All unit in kW NOT W)

    = ,--- mass flow rate supplied into room, permissible dry-bulb temperature rise

    case 1: > , = , = /3600

    case 2: < , = /

    = , moisture to be picked up, latent heat of evaporation

    = , moisture supplied into room via air-conditioning, desired moisture kg/kg

    Refrigeration System

    Evaporator (4-1): Q41 = (1 4) ; Compressor (1-2): 12 = (1 2), S1 = S2

    Condenser (2-3): Q23 = (3 2) ; Throttle Valve (3-4) 3 = 4 ,

    COP = Q41

    12 =

    (14)

    12 ; Refrigeration effect RE =

    Q41

    = 1 4

    Isentropic Turbine efficiency n =

    =

    21

    21 ; S2 = S1 ,actual S2 > S1

  • Rankine Cylcle

    Feed water pump (1-2): 12 = (1 2) = (1 2) , = 0.001/

    Boiler and super-heater (2-3): 23 = (3 2) , heat input to steam boiler

    Steam Turbine (3-4): 34 = (4 3) , S1 = S2 , high pressure expands to low pressure

    Condenser (4-1): 41 = (1 4) , heat rejected , constant low pressure

    Performance: n =

    =

    34 +12

    23=

    43+12

    32 , SSC =

    3600

    =

    3600

    34 +12

    if (3-4) high pressure steam turbine, -> re-heater (4-5): 45 = (5 4) ->

    Low pressure steam turbine (5-6): 56 = (5 6) , S5 = S6 ->

    Condenser (6-1): 61 = (1 6)

    Performance: n =

    =

    34 +56 +12

    23 +45 , SSC =

    3600

    =

    3600

    34 +56 +12

    Isentropic Turbine efficiency n =

    =

    34

    34

    Air Standard Diesel Cycle

    Compression Process (1-2): compreesion ratio, r =1

    2 , u = C, Q12 = 0, T2 = T1

    1

    2

    1

    P2 = P11

    2

    , work input W12 = (2 1) = (2 1)

    Heat Supply Process (2-3): P2 = P3 , T3 = T23

    2 , cut off ratio , r =

    3

    2 , W23 = 2(3 2)

    Heat supply Q23 = (3 2) = (3 2)

    Expansion Process (3-4): 4

    3=

    1

    2

    2

    3=

    r

    r , Q34 = 0 , work output W34 = (4 3) = (4 3)

    T4 = T33

    4

    1 , P4 = P3

    3

    4

    ,

    Heat Rejection Process (4-1): W41 = 0 , V1 = V4 , T1 = T41

    4 , Q41 = (1 4) = (1 4)

    Thermal efficiency n =

    , mean eff. pressure =

    =

    0.9167v=0.9167RT/P

    Air Standard Otto Cycle-gasoline

    Compression Process (1-2): same to Diesel ; Heat Supply Process (2-3): V2 = V3 , no work done,

    Heat supply Q23 = (3 2) = (3 2), T3 = T23

    2 ;

    Expansion Process (3-4): r =1

    2=

    4

    3 , Q34 = 0 , work output W34 = (4 3) = (4 3)

    T4 = T33

    4

    1 , P4 = P3

    3

    4

    ; Heat Rejection Process (4-1): V1 = V4 , T1 = T4

    1

    4 , no work done

    Q41 = (1 4) = (1 4) ; Thermal efficiency n =

    = 1 +

    41

    23

    Mean eff Pressure: same to diesel, =23+41

    12 , V =

    , R=0.287kJ/kgK

  • Heat Transfer

    conduction

    for plane slab: =

    (1 2) ; for sphere: =

    41

    1

    1

    2

    (1 2) ; for cylinder: =2

    21

    (1 2)

    In series, all plus ; for parallel, 1

    1

    +

    1

    Newtons Law of cooling for convection: = ( ) ; R =1

    for same system: Q=T/R=T/R== all T/R

    Radiation

    Real object: + + = 1; grey body + = 1 , no ; black body = 1 , no other

    Stefan Boltzmann Law:

    Black: Q = AF(14 2

    4) ; grey : Q = AF(114 22

    4)

    emitted by 1 and absorbed by 2: Q = 12AF114

    Reflected: Q = 1AF1142 ; Infinite: Q =

    11

    1+

    1

    21

    A(14 2

    4)

    Convection

    1. Find formula by using the description, cal the h valve

    Combustion

    Write down the formula, balance the equation to fulfill 79/21=N2/O2, write down molar mass x molar number,

    say the fuel 1kg, cal other component, find Cp valve, (room temp+low temp)/2 + 273K ; (room temp+high

    temp)/2 + 273K; find table, =T ave/ 1000, cal each Cp, use equation.