Theoretical analysis of convective heat transfer of Oldroyd-B fluids in a curved pipe

Mingkan Zhang; Xinrong Shen; Jianfeng Ma; Benzhao Zhang

doi:10.1016/j.ijheatmasstransfer.2007.04.040

Theoretical analysis of convective heat transfer of Oldroyd-B fluids in a curved pipe

Mingkan Zhang, Xinrong Shen, Jianfeng Ma, Benzhao Zhang

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Perturbation methods are used to study steady, fully developed flow of Oldroyd-B fluids through a curved pipe of circular cross-section. A perturbation solution up to secondary order is obtained for a small value of curvature ratio. The range of validity of the perturbation method are discussed and chosen carefully. Variations of temperature distribution with Re and We are discussed in detail in order to investigate the combined effects of the two parameters on temperature distribution. Present studies also show the variations of the heat transfer rate with Re and We. This study explores many new characteristics of convective heat transfer of a kind of viscoelastic fluid through curved pipes.

Original language	English
Pages (from-to)	661-671
Number of pages	11
Journal	International Journal of Heat and Mass Transfer
Volume	51
Issue number	3-4
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2007.04.040
State	Published - Feb 2008
Externally published	Yes

Keywords

Convective heat transfer
Oldroyd-B fluid
Perturbation method
Pipe flow

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10.1016/j.ijheatmasstransfer.2007.04.040

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title = "Theoretical analysis of convective heat transfer of Oldroyd-B fluids in a curved pipe",

abstract = "Perturbation methods are used to study steady, fully developed flow of Oldroyd-B fluids through a curved pipe of circular cross-section. A perturbation solution up to secondary order is obtained for a small value of curvature ratio. The range of validity of the perturbation method are discussed and chosen carefully. Variations of temperature distribution with Re and We are discussed in detail in order to investigate the combined effects of the two parameters on temperature distribution. Present studies also show the variations of the heat transfer rate with Re and We. This study explores many new characteristics of convective heat transfer of a kind of viscoelastic fluid through curved pipes.",

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AU - Zhang, Mingkan

AU - Shen, Xinrong

AU - Ma, Jianfeng

AU - Zhang, Benzhao

PY - 2008/2

Y1 - 2008/2

N2 - Perturbation methods are used to study steady, fully developed flow of Oldroyd-B fluids through a curved pipe of circular cross-section. A perturbation solution up to secondary order is obtained for a small value of curvature ratio. The range of validity of the perturbation method are discussed and chosen carefully. Variations of temperature distribution with Re and We are discussed in detail in order to investigate the combined effects of the two parameters on temperature distribution. Present studies also show the variations of the heat transfer rate with Re and We. This study explores many new characteristics of convective heat transfer of a kind of viscoelastic fluid through curved pipes.

AB - Perturbation methods are used to study steady, fully developed flow of Oldroyd-B fluids through a curved pipe of circular cross-section. A perturbation solution up to secondary order is obtained for a small value of curvature ratio. The range of validity of the perturbation method are discussed and chosen carefully. Variations of temperature distribution with Re and We are discussed in detail in order to investigate the combined effects of the two parameters on temperature distribution. Present studies also show the variations of the heat transfer rate with Re and We. This study explores many new characteristics of convective heat transfer of a kind of viscoelastic fluid through curved pipes.

KW - Convective heat transfer

KW - Oldroyd-B fluid

KW - Perturbation method

KW - Pipe flow

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DO - 10.1016/j.ijheatmasstransfer.2007.04.040

M3 - Article

AN - SCOPUS:37649023678

SN - 0017-9310

VL - 51

SP - 661

EP - 671

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 3-4

ER -

Theoretical analysis of convective heat transfer of Oldroyd-B fluids in a curved pipe

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Keywords

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