Buoyancy induced secondary vortices in the entrance section of a horizontal straight tube

J.J.M. Sillekens; C.C.M. Rindt; A.A. Steenhoven, van

doi:10.1080/10407789808913943

Buoyancy induced secondary vortices in the entrance section of a horizontal straight tube

J.J.M. Sillekens, C.C.M. Rindt, A.A. Steenhoven, van

Energy Technology

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Abstract

Developing mixed convective flow in the entrance section of a horizontal straight tube is analyzed with special emphasis on the buoyancy-induced secondary vortices. The flow is subject to a constant wall temperature. Elliptic calculations on a half gross-section grid are performed for various Grashof numbers and two Prandtl numbers. It appears that for air (Pr=0.7) the flow exhibits a two-vortex solution for all Grashof numbers and axial positions investigated, whereas for water (Pr=5.0), secondary flow evolves from a two-vortex solution, via a four-voltex solution toward a six-voltex solution for increasing Grashof numbers and axial distances. Calculations on a full cross-section grid reveal that these solutions are axial distances. Calculations on a full cross-section grid reveal that these solutions are insensitive to white noise perturbations in the "initial" flow field.

Original language	English
Pages (from-to)	355-369
Journal	Numerical Heat Transfer. Part A : Applications
Volume	33
Issue number	4
DOIs	https://doi.org/10.1080/10407789808913943
Publication status	Published - 1998

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Sillekens, J. J. M., Rindt, C. C. M., & Steenhoven, van, A. A. (1998). Buoyancy induced secondary vortices in the entrance section of a horizontal straight tube. Numerical Heat Transfer. Part A : Applications, 33(4), 355-369. https://doi.org/10.1080/10407789808913943

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AB - Developing mixed convective flow in the entrance section of a horizontal straight tube is analyzed with special emphasis on the buoyancy-induced secondary vortices. The flow is subject to a constant wall temperature. Elliptic calculations on a half gross-section grid are performed for various Grashof numbers and two Prandtl numbers. It appears that for air (Pr=0.7) the flow exhibits a two-vortex solution for all Grashof numbers and axial positions investigated, whereas for water (Pr=5.0), secondary flow evolves from a two-vortex solution, via a four-voltex solution toward a six-voltex solution for increasing Grashof numbers and axial distances. Calculations on a full cross-section grid reveal that these solutions are axial distances. Calculations on a full cross-section grid reveal that these solutions are insensitive to white noise perturbations in the "initial" flow field.

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DO - 10.1080/10407789808913943

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JO - Numerical Heat Transfer. Part A : Applications

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10.1080/10407789808913943