e - Propulsion and Combustion Laboratory

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Combined Heat Transfer – Results• Effect of conduction to radiation parameter on Temperature no radiation N=0.05 N=0.005y0.01.00.2 0.4 0.6 0.8 1.01.00.80.0050.9Pr=0.70.010.60.40.030.050.8Θ ( 5, y)Θ m ( x)0.10.7Pr=2.5N =1.00.20.6εw=1.0Pe=200 Symbols : Kassemi & Chung[4]ω0=0.0Lines : presentAr=0.1τ 0=0.5no radiation0.00.50 2 4 6 8 10xPr=10Pr=10034 Propulsion and Combustion Lab.
Combustion with Radiation – Formulations‣ Governing EquationsφuvwkεhYfYO 2Ypr‣ Supplementary Equations∂ ∂ ⎛ ∂φ⎞( ρujφ)= Γφ+ STφ∂xj ∂x ⎜j∂x⎟h= ⎝ j ⎠∑Ykhk = ∑Yk∫Cp,kdTTrefkkΓSφφu ui j uiGkµ ⎛ ∂ ⎞2∂ ∂k=T+∂µ p ∂ ⎛ ∂ u ⎞ ∂ ⎛ ∂ v ⎞ ∂ ⎛ ∂ w⎜xj x ⎟µT= C∂ ∂i∂xµρ⎞⎝ ⎠ jεeff − + ⎜µ eff ⎟+ ⎜µ eff ⎟+⎜µeff ⎟∂x ∂x⎝ ∂x⎠ ∂y⎝ ∂x⎠ ∂z⎝ ∂x⎠‣ Combustion Chemistryµ∂ p ∂ ⎛ ∂ u ⎞ ∂ ⎛ ∂ v ⎞ ∂ ⎛ ∂ w ⎞ CH4 + νO ( O )2 2+ nN2eff − + ⎜µ eff ⎟+ ⎜µ eff ⎟+⎜µeff ⎟∂y ∂x ⎝ ∂y⎠ ∂y⎝ ∂y⎠ ∂z ⎝ ∂y→ ν⎠COCO2 2+ νH2OH2O + νN nN 2 2+ H v∂µ p ∂ ⎛ ∂ u ⎞ ∂ ⎛ ∂ v ⎞ ∂ ⎛ ∂ w ⎞YCO = γ( )2 COY2 pr, YH 2O = 1−γCOY2 preff − + ⎜µ eff ⎟+ ⎜µ eff ⎟+⎜µeff ⎟∂z ∂x⎝ ∂z⎠ ∂y ⎝ ∂z⎠ ∂z⎝ ∂z⎠νCOW2 CO2µγeffCO=2G − ρενCO W2 CO+ ν2 H2OWH2OσkµeffεYN = 1 − ( Y )2 f+ YO + Y2 CO+ Y2 H2O( Cε1G−Cε2ρε)σεkε ⎡ YO µ 2Ypr⎤eff ωRf=−ρAEBU min Yf , , BEBUH vωfuel− ∇⋅qk⎢s 1 s⎥⎣+ ⎦PrTpµeffρ =− ω fuelYjSc TRT∑µeff2WO2fuelSc −TW ωj WjCp, mix= ∑YC j pj, Cpj = aoj + b0jTfjµeff( WCO+ 2W)2 H2O ωfuel‣ Radiative Heat TransferSc TWfR∇ ⋅ q = κaC1 = 1.44, C2= 1.92, C µ= 0.09, σk= 1.3, σ ε( 4πIb− Id )= 1.0∫ Ω4π35 Propulsion and Combustion Lab.
Page 1 and 2: 2004 Fluent User’s Group MeetingA
Page 3 and 4: Introduction - Combustor Analysis
Page 5 and 6: Introduction - Heat Transfer Modes
Page 7 and 8: Radiation - Electromagnetic Spectru
Page 9 and 10: Radiation - Radiative Property‣ M
Page 11 and 12: Radiation - Solution Models‣ Solu
Page 13 and 14: 3D Finite-Volume Radiation (Continu
Page 15 and 16: 3D FVM - Example 2‣ Axisymmetric
Page 17 and 18: 3D FVM - Example 4‣ A 3D Rectangu
Page 19 and 20: Radiation Grid Systems - Example 1
Page 25 and 26: Axisymmetric Radiation - Formulatio
Page 27 and 28: Axisymmetric Radiation - Example 1
Page 29 and 30: Axisymmetric Radiation - Example 3
Page 31 and 32: Combined Conduction and Radiation -
Page 33: Combined Heat Transfer - Formulatio
Page 37 and 38: Combustion with Radiation - Results
Page 39 and 40: References1. 김태국, 1995, “FU

e - Propulsion and Combustion Laboratory

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