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Formuleblad + theoriepagina's van het boek die op CD staan
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  • Course
  • Voortgezette stromingsleer en warmte-overdracht
  • Institution
  • Saxion Hogeschool (Saxion)
  • Book
  • Introduction to Thermal Systems Engineering

Dit formuleblad mocht gebruikt worden tijdens het tentamen. Het bevat naast belangrijke formules ook de paragrafen 12.8, 12.9, 12.1o, 16.5.3, 16.5.4 HT-6 en HT-7

Last document update: 3 year ago

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Document information

  • February 5, 2021
  • November 9, 2021
  • 9
  • 2020/2021
  • Other
  • Unknown

Subjects

  • stromingsleer
  • dimensie analyse
  • warmte overdracht
  • vinnen
  • interstationaire stroming
  • straling

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  • Saxion Hogeschool (Saxion)
  • werktuigbouwkunde
  • Voortgezette stromingsleer en warmte-overdracht
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Stromingsleer Dimensie-analyse

1) Omschrijven naar pi-vorm: 𝜋1
P 2) Uitschrijven hoeveel groothed
p1 + 12    v +   g  h1 +
2
= p2 + 12    v +   g  h2 + ploss
2

v
1 2
3) Groepen uitschrijven (MLtT)
4) Bepalen aantal pi-groepen
5) Kies MLtT groepen
𝑐𝑝 𝑅ത (𝑁 ∗ 𝑚) 6) 𝜋1 = 𝐺𝑟𝑜𝑜𝑡ℎ𝑒𝑖𝑑 = 𝑔𝑟𝑜𝑜𝑡ℎ
𝑘= k uit tabel T-10 𝑅=
𝑐𝑣 𝑀𝑜𝑙𝑚𝑎𝑠𝑠 (𝐾𝑔 ∗ 𝐾) 𝜋3 𝑐 = 𝑀𝐿𝑡𝑇 0 = 1
𝑉 M >1 => supersonic 7) A,B,C oplossen (als het niet uit
𝑀= 8) Invullen
𝑐 0,5
𝑘−1 9) Terug van MLT naar gewone n
𝑉 2 𝑃0 𝑘
𝑀= 𝑀𝑛𝑖𝑒𝑢𝑤 = −1 10) Stap 6-9 voor elke pi-groep
𝑘−1 𝑃2
𝑘𝑅𝑇
Als P<=P* => choked:
M=1
P = Pcritical
Als P>P* => niet
choked:
M = Mnieuw
P= P
Warmteoverdracht
Eindsnelheid lavalstraalpijp:
𝑇1 −
𝐺𝑒𝑙𝑒𝑖𝑑𝑖𝑛𝑔 𝑟𝑒𝑐ℎ𝑡𝑒 𝑤𝑎𝑛𝑑: 𝑄ሶ 𝑐𝑜𝑛𝑑 = 𝑘 ∗ 𝐴 ∗
Δ𝑥
𝑥
Temp op plaats x: 𝑇 𝑥 = 𝑇2 − 𝑇1 ∗ +
𝐿



𝑚ሶ 𝑣 4𝐴
Nominal Shock 𝐶𝑜𝑛𝑣𝑒𝑐𝑡𝑖𝑒: 𝑄ሶ 𝑐𝑜𝑛𝑣 = ℎ ∗ 𝐴𝑠 ∗ (𝑇𝑠 − 𝑇∞ )
𝐴= ⇒ 𝑑2 = 𝑆𝑡𝑟𝑎𝑙𝑖𝑛𝑔: 𝑄ሶ 𝑟𝑎𝑑 = 𝜀 ∗ 𝜎𝑏𝑜𝑙𝑧𝑚𝑎𝑛𝑗𝑎𝑤𝑜𝑒𝑙 ∗ 𝐴𝑠 ∗ (𝑇
𝑉 𝜋
𝐴𝑉 𝑝𝐴𝑉 Warmtenetwerken
𝑚ሶ = = =𝜌∗𝐴∗𝑣 𝑇1 − 𝑇2
𝑣 𝑅𝑇 𝑄ሶ =
(P in bar;R=8.314) 𝑅𝑡𝑜𝑡
𝑆𝑒𝑟𝑖𝑒: 𝑅𝑡𝑜𝑡 = 𝑅𝑐𝑜𝑛𝑣 + 𝑅𝑐𝑜𝑛𝑑 + 𝑅. . .
𝑁
1 1 1 1
Energiewet (lucht): 𝑃𝑎𝑟𝑎𝑙𝑙𝑒𝑙: = + +
𝑅 𝑡𝑜𝑡 𝑅𝑐𝑜𝑛𝑣 𝑅𝑐𝑜𝑛𝑑 𝑅 … .
1) Bepaal h1
2) Bepaal h2
3) Bepaal Pr1 bij temperatuur (T9)
4) bepaal Pr2 bij h2
5) Bepaal p2
𝑉12 − 𝑉22
0 = 𝑚[(ℎ
ሶ 1 − ℎ2 ) + ]
2
𝑉12 − 𝑉22
ℎ2 = ℎ1 +
2
𝑝𝑟2
𝑝2 = 𝑝1 ∗
𝑝𝑟1
𝑉2 = 2(ℎ1 − ℎ2) = 2𝑐𝑝 (𝑇1 − 𝑇2)
(cp in J/kg*K)


vinnen 𝜃 𝑥 = 𝜃𝑏 𝑒 −𝑚𝑥 interstationair
ℎ∗𝑃 4ℎ 𝜃 = 𝑇 𝑥 − T∞
𝑚= =
𝑘 ∗ 𝐴𝑐 𝑘𝐷 𝜃𝑏 = 𝑇 0 − 𝑇∞
1) Biot
𝑉
2) Bereken karakteristieke lengte Lc: 𝐿𝑐 =
3) Bereken Biot 𝐴
4) Biot < 0,1: LCM gebruiken
5) LCM

, Straling

E = emissive power 𝐽
G = irradiation 𝑞𝑟
J = total radiosity



Black-body Real
𝜆𝑚𝑎𝑥 𝑇 = 2897,8 [𝜇𝑚 ∗ 𝐾] 𝐸 = 𝜖𝜎
3.742 ∗ 108
E𝜆,𝑏 𝜆, 𝑇 = 1.439∗104
𝜆5 [𝑒 𝜆𝑇 − 1]

𝐸𝑏 = 𝜎𝑇 4 ; 𝜎 = 5,67 ∗ 10−8
(𝜆1 𝑇)(𝑡𝑎𝑏𝑒𝑙 18.2)
𝜆1 =
𝑇



𝑞𝑖𝑗 = 𝑃 = 𝐴𝑖 ∗ 𝐹𝑖𝑗 ∗ 𝜎 ∗ (𝑇𝑖4 − 𝑇𝑗4 )



Solar radition:
Als emissie van een blackbody bij 5800 K




𝑘
𝛼=
𝜌 ∗ 𝑐𝑝

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