Heat Flux Vector Potential in Convective Heat Transfer

Research output: Contribution to journalArticle

Abstract

The heat function concept introduced by Kimura and Bejan (1983, "The Heatline Visualization of Convective Heat Transfer," ASME J. Heat Transfer, 105(4), pp. 916-919) for two-dimensional (2D) heat transfer is being extended in this note to three dimensions. It is shown that a heat flux vector potential exists and can be used in three-dimensional (3D) heat convection problems. It is further shown that this heat flux vector potential degenerates to the heat function introduced by Kimura and Bejan (1983, "The Heatline Visualization of Convective Heat Transfer," ASME J. Heat Transfer, 105(4), pp. 916-919) when the heat convection is two-dimensional.

Original languageEnglish (US)
Article number051701
JournalJournal of Heat Transfer
Volume140
Issue number5
DOIs
StatePublished - May 1 2018

Fingerprint

convective heat transfer
Heat flux
heat flux
Heat transfer
heat
heat transfer
Heat convection
convection
Visualization
Hot Temperature

Keywords

  • Heat Flux
  • heat function
  • Heatlines
  • vector potential

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Heat Flux Vector Potential in Convective Heat Transfer. / Vadasz, Peter.

In: Journal of Heat Transfer, Vol. 140, No. 5, 051701, 01.05.2018.

Research output: Contribution to journalArticle

@article{b6e00ff895ad47f0bbe080c668a0fb0a,
title = "Heat Flux Vector Potential in Convective Heat Transfer",
abstract = "The heat function concept introduced by Kimura and Bejan (1983, {"}The Heatline Visualization of Convective Heat Transfer,{"} ASME J. Heat Transfer, 105(4), pp. 916-919) for two-dimensional (2D) heat transfer is being extended in this note to three dimensions. It is shown that a heat flux vector potential exists and can be used in three-dimensional (3D) heat convection problems. It is further shown that this heat flux vector potential degenerates to the heat function introduced by Kimura and Bejan (1983, {"}The Heatline Visualization of Convective Heat Transfer,{"} ASME J. Heat Transfer, 105(4), pp. 916-919) when the heat convection is two-dimensional.",
keywords = "Heat Flux, heat function, Heatlines, vector potential",
author = "Peter Vadasz",
year = "2018",
month = "5",
day = "1",
doi = "10.1115/1.4038553",
language = "English (US)",
volume = "140",
journal = "Journal of Heat Transfer",
issn = "0022-1481",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "5",

}

TY - JOUR

T1 - Heat Flux Vector Potential in Convective Heat Transfer

AU - Vadasz, Peter

PY - 2018/5/1

Y1 - 2018/5/1

N2 - The heat function concept introduced by Kimura and Bejan (1983, "The Heatline Visualization of Convective Heat Transfer," ASME J. Heat Transfer, 105(4), pp. 916-919) for two-dimensional (2D) heat transfer is being extended in this note to three dimensions. It is shown that a heat flux vector potential exists and can be used in three-dimensional (3D) heat convection problems. It is further shown that this heat flux vector potential degenerates to the heat function introduced by Kimura and Bejan (1983, "The Heatline Visualization of Convective Heat Transfer," ASME J. Heat Transfer, 105(4), pp. 916-919) when the heat convection is two-dimensional.

AB - The heat function concept introduced by Kimura and Bejan (1983, "The Heatline Visualization of Convective Heat Transfer," ASME J. Heat Transfer, 105(4), pp. 916-919) for two-dimensional (2D) heat transfer is being extended in this note to three dimensions. It is shown that a heat flux vector potential exists and can be used in three-dimensional (3D) heat convection problems. It is further shown that this heat flux vector potential degenerates to the heat function introduced by Kimura and Bejan (1983, "The Heatline Visualization of Convective Heat Transfer," ASME J. Heat Transfer, 105(4), pp. 916-919) when the heat convection is two-dimensional.

KW - Heat Flux

KW - heat function

KW - Heatlines

KW - vector potential

UR - http://www.scopus.com/inward/record.url?scp=85041186664&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85041186664&partnerID=8YFLogxK

U2 - 10.1115/1.4038553

DO - 10.1115/1.4038553

M3 - Article

VL - 140

JO - Journal of Heat Transfer

JF - Journal of Heat Transfer

SN - 0022-1481

IS - 5

M1 - 051701

ER -