Analysis of convective heat transfer in channel flow with arbitrary rough surface

Research output: Contribution to journalArticle

Abstract

We consider forced convective heat transfer in a channel flow with a rough boundary. The roughness of the domain is expressed as the product of length scale ε and arbitrary smooth function h. The boundaries of the channel are assumed as hot (top) and cold (bottom) walls. We derive an effective model reflecting the rough boundary effects, and analyze the average Nusselt number and wall laws (effective boundary conditions). Consequently, we provide the criterion for the shape of the rough boundary to enhance the heat transfer. We further confirm that the Robin–type effective boundary condition is sufficient to describe the effect of the rough layer on the heat transfer.

Original languageEnglish
Article numbere201700363
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume99
Issue number3
DOIs
Publication statusPublished - 2019 Mar 1

Fingerprint

Convective Heat Transfer
Channel Flow
Rough Surface
Channel flow
Rough
Heat transfer
Arbitrary
Boundary conditions
Heat Transfer
Nusselt number
Boundary Effect
Surface roughness
Smooth function
Roughness
Length Scale
Sufficient

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Applied Mathematics

Cite this

@article{43505f9c53224bfa9c936fa51ef3efba,
title = "Analysis of convective heat transfer in channel flow with arbitrary rough surface",
abstract = "We consider forced convective heat transfer in a channel flow with a rough boundary. The roughness of the domain is expressed as the product of length scale ε and arbitrary smooth function h. The boundaries of the channel are assumed as hot (top) and cold (bottom) walls. We derive an effective model reflecting the rough boundary effects, and analyze the average Nusselt number and wall laws (effective boundary conditions). Consequently, we provide the criterion for the shape of the rough boundary to enhance the heat transfer. We further confirm that the Robin–type effective boundary condition is sufficient to describe the effect of the rough layer on the heat transfer.",
author = "Jaewook Ahn and Jung-il Choi and Kyungkeun Kang",
year = "2019",
month = "3",
day = "1",
doi = "10.1002/zamm.201700363",
language = "English",
volume = "99",
journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",
issn = "0044-2267",
publisher = "Wiley-VCH Verlag",
number = "3",

}

Analysis of convective heat transfer in channel flow with arbitrary rough surface. / Ahn, Jaewook; Choi, Jung-il; Kang, Kyungkeun.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 99, No. 3, e201700363, 01.03.2019.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Analysis of convective heat transfer in channel flow with arbitrary rough surface

AU - Ahn, Jaewook

AU - Choi, Jung-il

AU - Kang, Kyungkeun

PY - 2019/3/1

Y1 - 2019/3/1

N2 - We consider forced convective heat transfer in a channel flow with a rough boundary. The roughness of the domain is expressed as the product of length scale ε and arbitrary smooth function h. The boundaries of the channel are assumed as hot (top) and cold (bottom) walls. We derive an effective model reflecting the rough boundary effects, and analyze the average Nusselt number and wall laws (effective boundary conditions). Consequently, we provide the criterion for the shape of the rough boundary to enhance the heat transfer. We further confirm that the Robin–type effective boundary condition is sufficient to describe the effect of the rough layer on the heat transfer.

AB - We consider forced convective heat transfer in a channel flow with a rough boundary. The roughness of the domain is expressed as the product of length scale ε and arbitrary smooth function h. The boundaries of the channel are assumed as hot (top) and cold (bottom) walls. We derive an effective model reflecting the rough boundary effects, and analyze the average Nusselt number and wall laws (effective boundary conditions). Consequently, we provide the criterion for the shape of the rough boundary to enhance the heat transfer. We further confirm that the Robin–type effective boundary condition is sufficient to describe the effect of the rough layer on the heat transfer.

UR - http://www.scopus.com/inward/record.url?scp=85058048502&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85058048502&partnerID=8YFLogxK

U2 - 10.1002/zamm.201700363

DO - 10.1002/zamm.201700363

M3 - Article

AN - SCOPUS:85058048502

VL - 99

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 3

M1 - e201700363

ER -