UFR 4-18 Evaluation

Flow and heat transfer in a pin-fin array

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Evaluation

Comparison of CFD Calculations with Experiments

Discuss how well the CFD calculations of the assessment quantities compare with experiment and with one another. Present some key comparisons in the form of tables or graphical plots and, where possible, provide hyperlinks to the appropriate results database. Results with different turbulence models covering as wide a range as possible should be included in the discussion. However, if too many different calculation results are available (e.g. from workshops) do not present all the comparisons here. A selection should be made showing results only for the most typical and practically important models. Comprehensive comparisons can be made available via a link to the associated databases. Finally, draw conclusions on the ability of the models used to simulate the test case flow.

Global comparisons

Pressure loss coefficient

The following table gives the numerical values of the presure loss coefficient in Ames et al. experiment as well as those obtained in the main computations.

Figure ?? shows these values and compare them to existing correlations from the literature:

• Metzger et al. (1982) :

Failed to parse (syntax error): {\displaystyle for Re < 10^3 f = 0.317 {Re_D}^{−0.132}} , Failed to parse (syntax error): {\displaystyle for Re > 10^3 f = 1.76 {Re_D}^{−0.318}}

Pressure loss coefficient values for the different computations

LES3000	LES10000	EBRSM10000	PHI10000	kwSST10000	EBRSM30000	PHI30000	kwSST30000
0.1076	0.0939	0.0963	0.0789	0.0883	0.0771	0.0615	0.0744

Figure ??: Pressure loss coefficient

Average Nusselt Number

Average Nusselt number on the bottom wall

Exp. 3000	Exp. 10000	Exp. 30000	LES3000	LES10000	EBRSM10000	PHI10000	kwSST10000	EBRSM30000	PHI30000	kwSST30000
22.1	54.1	111.5	21.6	48.6	48.1	37.6	33.1	114.8	93.3	72

Figure ??: Averaged Nusselt number on the bottom wall

Local comparisons

Mean pressure coefficient

Figure ??: Pressure coefficient along the midline of the pins - LES at $Re_{D}=3000$

Figure ??: Pressure coefficient along the midline of the pins - LES and URANS computations at $Re_{D}=10000$

Figure ??: Pressure coefficient along the midline of the pins - URANS computations at $Re_{D}=30000$

Mean velocity profiles

Figure ??: Mean stream-wse velocity component along line B - LES at $Re_{D}=3000$

Figure ??: Mean stream-wse velocity component along line B - LES and URANS computations at $Re_{D}=10000$

Figure ??: Mean stream-wse velocity component along line B - URANS computations at $Re_{D}=30000$

Figure ??: Mean stream-wse velocity component along line A1 - URANS computations at $Re_{D}=30000$

R.m.s. velocity profiles

Figure ??: R.m.s. of the stream-wise velocity component along line B - LES at $Re_{D}=3000$

Figure ??: R.m.s. of the stream-wise velocity component along line B - LES and URANS computations at $Re_{D}=10000$

Figure ??: Resolved and modelled contributions to the r.m.s. of the stream-wise velocity component along line B - URANS computations at $Re_{D}=10000$

Figure ??: R.m.s. of the stream-wise velocity component along line B - URANS computations at $Re_{D}=30000$

Figure ??: Resolved and modelled contributions to the r.m.s. of the stream-wise velocity component along line B - URANS computations at $Re_{D}=30000$

Figure ??: R.m.s. of the stream-wise velocity component along line A1 - URANS computations at $Re_{D}=30000$

Figure ??: Resolved and modelled contributions to the r.m.s. of the stream-wise velocity component along line A1 - URANS computations at $Re_{D}=30000$

Nusselt number on the bottom wall

Figure ??: Local Nusselt number on the bottom wall - LES computation at $Re_{D}=3000$ vs. experimental results from Ames et al.

Figure ??: Local Nusselt number on the bottom wall - LES and URANS computations at $Re_{D}=10000$ vs. experimental results from Ames et al.

Figure ??: Local Nusselt number on the bottom wall - URANS computations at $Re_{D}=30000$ vs. experimental results from Ames et al.

Figure ??: Local Nusselt number on the bottom wall - $Re_{D}=3000$ - top: Y=0, bottom: Y=1.25 - symb.: Exp. - black: LES

Figure ??: Local Nusselt number on the bottom wall - $Re_{D}=10000$ - top: Y=0, bottom: Y=1.25 - symb.: Exp. - black: LES - red: EBRSM - blue: Phi-model - green: kw-SST

Figure ??: Local Nusselt number on the bottom wall - $Re_{D}=30000$ - top: Y=0, bottom: Y=1.25 - symb.: Exp. - red: EBRSM - blue: Phi-model - green: kw-SST

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Contributed by: Sofiane Benhamadouche — EDF

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Description

Test Case Studies

Evaluation

Best Practice Advice

References

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