Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing
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KNOO CFD @ Manchester: Heat transfer test cases. Test Case 1 : Mixed convection in vertically flowing heated pipe (buoyancy aiding or opposing). Problem specifications: Re=2650 Pr=0.71 Wall constant heat flux Boussinesq approximation Heat transfer Regimes:

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Test Case 1 : Mixed convection in vertically flowing heated pipe (buoyancy aiding or opposing)

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Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

KNOO CFD @ Manchester: Heat transfer test cases

Test Case 1 :Mixed convection in vertically flowing heated pipe(buoyancy aiding or opposing)

  • Problem specifications:

  • Re=2650

  • Pr=0.71

  • Wall constant heat flux

  • Boussinesq approximation

    Heat transfer Regimes:

  • Gr/Re2=0.000  Forced Convection

  • Gr/Re2=0.063  Forced/Mixed Convection

  • Gr/Re2=0.087  Re-Laminarization

  • Gr/Re2=0.241  Recovery


Agr working scheme

Relevance to AGR and VHTR

AGR working scheme


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

Buoyancy aiding or opposing vertical pipe flow

V gradient nearer wall

=> Turbulence decrease

buoyancy opposing

buoyancy aiding

V gradient away from wall

=> Turbulence increase


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

Nu/Nu0 against ‘buoyancy parameter’, [Hall and Jackson ]


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

STAR-CD Quasi DNS [Y. Addad ]


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

K-omega not sensitive to buoyancy effect


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

Good predictions by V2F models


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

“standard” STAR k-epsilon model (Lien Chen Leschziner)


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

Expt. of Polyakov & Shindin

Results for Fully-Developed ForcedConvection. (no buoyancy)


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

Buoyancy aided heated pipe flow

Gr/Re**2 = 0.000


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

Buoyancy aided heated pipe flow

Gr/Re**2 = 0.087 (relaminarization)


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

Buoyancy aided heated pipe flow

Gr/Re**2 = 0.087 (relaminarization)


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

Buoyancy aided heated pipe flow

Gr/Re**2 = 0.087 (relaminarization)


Test case 1 mixed convection in vertically flowing heated pipe buoyancy aiding or opposing

Buoyancy aided heated pipe flow

Gr/Re**2 = 0.241 (recovery)


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