Shape optimization of a rotating rectangular channel with pinfins by kriging method

Mi Ae Moon, Afzal Husain, Kwang Yong Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents numerical optimization of a rotating rectangular channel design with the staggered arrays of pinfins using Kriging meta-modeling technique. In the reference case, the channel aspect ratio (AR) is 4:1, the pin length to diameter ratio (H/D) is 2.0, and the pin spacing to diameter ratio is 2.0 in both the streamwise and spanwise directions. The rotation number is 0.15, while the Reynolds number based on hydraulic diameter is fixed at 10,000. Rotation of the channel slightly reduces the heat transfer on the leading surface and increases it on the trailing surface due to Coriolis effects. Two non-dimensional variables, the ratio of the height to diameter of the pinfin and the ratio of the spacing between the pinfins to diameter of the pinfins, are chosen as design variables. The objective function defined as a linear combination of heat transfer and friction loss related terms with a weighting factor is selected for the optimization. Twenty training points generated by Latin hypercube sampling (LHS) are evaluated by three-dimensional Reynolds-averaged Navier-Stokes (RANS) analysis with the shear stress transport (SST) model for the turbulence closure. The predictions of objective function by Kriging meta-modeling at optimum point show reasonable accuracy in comparison with the values calculated by RANS analysis. The results of optimization show that the cooling performance of the optimized shape is enhanced significantly through the optimization.

Original languageEnglish
Title of host publication2010 14th International Heat Transfer Conference, IHTC 14
Pages167-176
Number of pages10
Volume5
DOIs
Publication statusPublished - 2010
Event2010 14th International Heat Transfer Conference, IHTC 14 - Washington, DC, United States
Duration: Aug 8 2010Aug 13 2010

Other

Other2010 14th International Heat Transfer Conference, IHTC 14
CountryUnited States
CityWashington, DC
Period8/8/108/13/10

Fingerprint

Shape optimization
Heat transfer
Shear stress
Aspect ratio
Reynolds number
Turbulence
Hydraulics
Friction
Sampling
Cooling

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

Cite this

Moon, M. A., Husain, A., & Kim, K. Y. (2010). Shape optimization of a rotating rectangular channel with pinfins by kriging method. In 2010 14th International Heat Transfer Conference, IHTC 14 (Vol. 5, pp. 167-176) https://doi.org/10.1115/IHTC14-22523

Shape optimization of a rotating rectangular channel with pinfins by kriging method. / Moon, Mi Ae; Husain, Afzal; Kim, Kwang Yong.

2010 14th International Heat Transfer Conference, IHTC 14. Vol. 5 2010. p. 167-176.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Moon, MA, Husain, A & Kim, KY 2010, Shape optimization of a rotating rectangular channel with pinfins by kriging method. in 2010 14th International Heat Transfer Conference, IHTC 14. vol. 5, pp. 167-176, 2010 14th International Heat Transfer Conference, IHTC 14, Washington, DC, United States, 8/8/10. https://doi.org/10.1115/IHTC14-22523
Moon MA, Husain A, Kim KY. Shape optimization of a rotating rectangular channel with pinfins by kriging method. In 2010 14th International Heat Transfer Conference, IHTC 14. Vol. 5. 2010. p. 167-176 https://doi.org/10.1115/IHTC14-22523
Moon, Mi Ae ; Husain, Afzal ; Kim, Kwang Yong. / Shape optimization of a rotating rectangular channel with pinfins by kriging method. 2010 14th International Heat Transfer Conference, IHTC 14. Vol. 5 2010. pp. 167-176
@inproceedings{3cebef0a208f459aaca4b64139f4b9e6,
title = "Shape optimization of a rotating rectangular channel with pinfins by kriging method",
abstract = "This paper presents numerical optimization of a rotating rectangular channel design with the staggered arrays of pinfins using Kriging meta-modeling technique. In the reference case, the channel aspect ratio (AR) is 4:1, the pin length to diameter ratio (H/D) is 2.0, and the pin spacing to diameter ratio is 2.0 in both the streamwise and spanwise directions. The rotation number is 0.15, while the Reynolds number based on hydraulic diameter is fixed at 10,000. Rotation of the channel slightly reduces the heat transfer on the leading surface and increases it on the trailing surface due to Coriolis effects. Two non-dimensional variables, the ratio of the height to diameter of the pinfin and the ratio of the spacing between the pinfins to diameter of the pinfins, are chosen as design variables. The objective function defined as a linear combination of heat transfer and friction loss related terms with a weighting factor is selected for the optimization. Twenty training points generated by Latin hypercube sampling (LHS) are evaluated by three-dimensional Reynolds-averaged Navier-Stokes (RANS) analysis with the shear stress transport (SST) model for the turbulence closure. The predictions of objective function by Kriging meta-modeling at optimum point show reasonable accuracy in comparison with the values calculated by RANS analysis. The results of optimization show that the cooling performance of the optimized shape is enhanced significantly through the optimization.",
author = "Moon, {Mi Ae} and Afzal Husain and Kim, {Kwang Yong}",
year = "2010",
doi = "10.1115/IHTC14-22523",
language = "English",
isbn = "9780791849408",
volume = "5",
pages = "167--176",
booktitle = "2010 14th International Heat Transfer Conference, IHTC 14",

}

TY - GEN

T1 - Shape optimization of a rotating rectangular channel with pinfins by kriging method

AU - Moon, Mi Ae

AU - Husain, Afzal

AU - Kim, Kwang Yong

PY - 2010

Y1 - 2010

N2 - This paper presents numerical optimization of a rotating rectangular channel design with the staggered arrays of pinfins using Kriging meta-modeling technique. In the reference case, the channel aspect ratio (AR) is 4:1, the pin length to diameter ratio (H/D) is 2.0, and the pin spacing to diameter ratio is 2.0 in both the streamwise and spanwise directions. The rotation number is 0.15, while the Reynolds number based on hydraulic diameter is fixed at 10,000. Rotation of the channel slightly reduces the heat transfer on the leading surface and increases it on the trailing surface due to Coriolis effects. Two non-dimensional variables, the ratio of the height to diameter of the pinfin and the ratio of the spacing between the pinfins to diameter of the pinfins, are chosen as design variables. The objective function defined as a linear combination of heat transfer and friction loss related terms with a weighting factor is selected for the optimization. Twenty training points generated by Latin hypercube sampling (LHS) are evaluated by three-dimensional Reynolds-averaged Navier-Stokes (RANS) analysis with the shear stress transport (SST) model for the turbulence closure. The predictions of objective function by Kriging meta-modeling at optimum point show reasonable accuracy in comparison with the values calculated by RANS analysis. The results of optimization show that the cooling performance of the optimized shape is enhanced significantly through the optimization.

AB - This paper presents numerical optimization of a rotating rectangular channel design with the staggered arrays of pinfins using Kriging meta-modeling technique. In the reference case, the channel aspect ratio (AR) is 4:1, the pin length to diameter ratio (H/D) is 2.0, and the pin spacing to diameter ratio is 2.0 in both the streamwise and spanwise directions. The rotation number is 0.15, while the Reynolds number based on hydraulic diameter is fixed at 10,000. Rotation of the channel slightly reduces the heat transfer on the leading surface and increases it on the trailing surface due to Coriolis effects. Two non-dimensional variables, the ratio of the height to diameter of the pinfin and the ratio of the spacing between the pinfins to diameter of the pinfins, are chosen as design variables. The objective function defined as a linear combination of heat transfer and friction loss related terms with a weighting factor is selected for the optimization. Twenty training points generated by Latin hypercube sampling (LHS) are evaluated by three-dimensional Reynolds-averaged Navier-Stokes (RANS) analysis with the shear stress transport (SST) model for the turbulence closure. The predictions of objective function by Kriging meta-modeling at optimum point show reasonable accuracy in comparison with the values calculated by RANS analysis. The results of optimization show that the cooling performance of the optimized shape is enhanced significantly through the optimization.

UR - http://www.scopus.com/inward/record.url?scp=84860506416&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860506416&partnerID=8YFLogxK

U2 - 10.1115/IHTC14-22523

DO - 10.1115/IHTC14-22523

M3 - Conference contribution

SN - 9780791849408

VL - 5

SP - 167

EP - 176

BT - 2010 14th International Heat Transfer Conference, IHTC 14

ER -