Diffusion-convection process in a branching fin

W. W. Lin; D. J. Lee

doi:10.1080/00986449708936582

Diffusion-convection process in a branching fin

W. W. Lin
, D. J. Lee

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

10 Citations (Scopus)

Abstract

The diffusion-convection transport process in a branching fin with a power-law type transfer coefficient (h = aΘ^m) was investigated theoretically. The governing equations were formulated and the solution was obtained analytically. For systems with m> - 1, the steady-state distribution for the state variable Θ was unique and stable. When the exponent becomes less than - 1, nevertheless, bistability occurs if the steady-state solution exists. Linear stability analysis shows that the lower branch solution on the fin efficiency/effectiveness versus branching number plot was stable, whereas the upper solution was unstable to small perturbations.

Original language	English
Pages (from-to)	59-70
Journal	Chemical Engineering Communications
Volume	158
DOIs	https://doi.org/10.1080/00986449708936582
Publication status	Published - 1997
Externally published	Yes

Bibliographical 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].

Research Keywords

Analytical
Branching fin
Stability analysis
Steady-state solution

Access Output

10.1080/00986449708936582

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{5c88c31931d745dca3b096f4483bc42d,

title = "Diffusion-convection process in a branching fin",

abstract = "The diffusion-convection transport process in a branching fin with a power-law type transfer coefficient (h = aΘm) was investigated theoretically. The governing equations were formulated and the solution was obtained analytically. For systems with m> - 1, the steady-state distribution for the state variable Θ was unique and stable. When the exponent becomes less than - 1, nevertheless, bistability occurs if the steady-state solution exists. Linear stability analysis shows that the lower branch solution on the fin efficiency/effectiveness versus branching number plot was stable, whereas the upper solution was unstable to small perturbations.",

keywords = "Analytical, Branching fin, Stability analysis, Steady-state solution",

author = "Lin, \{W. W.\} and Lee, \{D. J.\}",

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]. ",

year = "1997",

doi = "10.1080/00986449708936582",

language = "English",

volume = "158",

pages = "59--70",

journal = "Chemical Engineering Communications",

issn = "0098-6445",

publisher = "Taylor \& Francis",

}

TY - JOUR

T1 - Diffusion-convection process in a branching fin

AU - Lin, W. W.

AU - Lee, D. J.

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 - 1997

Y1 - 1997

N2 - The diffusion-convection transport process in a branching fin with a power-law type transfer coefficient (h = aΘm) was investigated theoretically. The governing equations were formulated and the solution was obtained analytically. For systems with m> - 1, the steady-state distribution for the state variable Θ was unique and stable. When the exponent becomes less than - 1, nevertheless, bistability occurs if the steady-state solution exists. Linear stability analysis shows that the lower branch solution on the fin efficiency/effectiveness versus branching number plot was stable, whereas the upper solution was unstable to small perturbations.

AB - The diffusion-convection transport process in a branching fin with a power-law type transfer coefficient (h = aΘm) was investigated theoretically. The governing equations were formulated and the solution was obtained analytically. For systems with m> - 1, the steady-state distribution for the state variable Θ was unique and stable. When the exponent becomes less than - 1, nevertheless, bistability occurs if the steady-state solution exists. Linear stability analysis shows that the lower branch solution on the fin efficiency/effectiveness versus branching number plot was stable, whereas the upper solution was unstable to small perturbations.

KW - Analytical

KW - Branching fin

KW - Stability analysis

KW - Steady-state solution

UR - https://www.scopus.com/pages/publications/0030643423

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0030643423&origin=recordpage

U2 - 10.1080/00986449708936582

DO - 10.1080/00986449708936582

M3 - RGC 21 - Publication in refereed journal

SN - 0098-6445

VL - 158

SP - 59

EP - 70

JO - Chemical Engineering Communications

JF - Chemical Engineering Communications

ER -

Diffusion-convection process in a branching fin

Abstract

Bibliographical note

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this