A numerical study of developing free convection between isothermal vertical plates

D. Naylor; J. M. Floryan; J. D. Tarasuk

doi:10.1115/1.2910610

A numerical study of developing free convection between isothermal vertical plates

D. Naylor, J. M. Floryan, J. D. Tarasuk

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

113 Citations (Scopus)

Abstract

Steady two-dimensional laminar free convection between isothermal vertical plates including entrance flow effects has been numerically investigated. The full elliptic forms of the Navier-Stokes and energy equations are solved using novel inlet flow boundary conditions. Results are presented for Prandtl number Pr = 0.7, Grashof number range 50 ≤ Gr_b ≤ 5 × 10⁴, and channel aspect ratios of L/b = 10, 17, 24. New phenomena, such as inlet flow separation, have been observed. The results cast doubt on the validity of previous elliptic solutions. Comparisons with the approximate boundary-layer results show that a full elliptic solution is necessary to get accurate local quantities near the channel entrance. © 1991 by ASME.

Original language	English
Pages (from-to)	620-626
Journal	Journal of Heat Transfer
Volume	113
Issue number	3
DOIs	https://doi.org/10.1115/1.2910610
Publication status	Published - Aug 1991
Externally published	Yes

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

Natural convection
Numerical methods

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title = "A numerical study of developing free convection between isothermal vertical plates",

abstract = "Steady two-dimensional laminar free convection between isothermal vertical plates including entrance flow effects has been numerically investigated. The full elliptic forms of the Navier-Stokes and energy equations are solved using novel inlet flow boundary conditions. Results are presented for Prandtl number Pr = 0.7, Grashof number range 50 ≤ Grb ≤ 5 × 104, and channel aspect ratios of L/b = 10, 17, 24. New phenomena, such as inlet flow separation, have been observed. The results cast doubt on the validity of previous elliptic solutions. Comparisons with the approximate boundary-layer results show that a full elliptic solution is necessary to get accurate local quantities near the channel entrance. {\textcopyright} 1991 by ASME.",

keywords = "Natural convection, Numerical methods",

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note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].",

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month = aug,

doi = "10.1115/1.2910610",

language = "English",

volume = "113",

pages = "620--626",

journal = "Journal of Heat Transfer",

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T1 - A numerical study of developing free convection between isothermal vertical plates

AU - Naylor, D.

AU - Floryan, J. M.

AU - Tarasuk, J. D.

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 1991/8

Y1 - 1991/8

N2 - Steady two-dimensional laminar free convection between isothermal vertical plates including entrance flow effects has been numerically investigated. The full elliptic forms of the Navier-Stokes and energy equations are solved using novel inlet flow boundary conditions. Results are presented for Prandtl number Pr = 0.7, Grashof number range 50 ≤ Grb ≤ 5 × 104, and channel aspect ratios of L/b = 10, 17, 24. New phenomena, such as inlet flow separation, have been observed. The results cast doubt on the validity of previous elliptic solutions. Comparisons with the approximate boundary-layer results show that a full elliptic solution is necessary to get accurate local quantities near the channel entrance. © 1991 by ASME.

AB - Steady two-dimensional laminar free convection between isothermal vertical plates including entrance flow effects has been numerically investigated. The full elliptic forms of the Navier-Stokes and energy equations are solved using novel inlet flow boundary conditions. Results are presented for Prandtl number Pr = 0.7, Grashof number range 50 ≤ Grb ≤ 5 × 104, and channel aspect ratios of L/b = 10, 17, 24. New phenomena, such as inlet flow separation, have been observed. The results cast doubt on the validity of previous elliptic solutions. Comparisons with the approximate boundary-layer results show that a full elliptic solution is necessary to get accurate local quantities near the channel entrance. © 1991 by ASME.

KW - Natural convection

KW - Numerical methods

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DO - 10.1115/1.2910610

M3 - RGC 21 - Publication in refereed journal

SN - 0022-1481

VL - 113

SP - 620

EP - 626

JO - Journal of Heat Transfer

JF - Journal of Heat Transfer

IS - 3

ER -

A numerical study of developing free convection between isothermal vertical plates

Abstract

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