Temperature solutions due to continuously operating spherical surface-heat sources in an infinite medium

Syed M. Zubair; M. Aslam Chaudhry

doi:10.1016/0735-1933(91)90031-X

Temperature solutions due to continuously operating spherical surface-heat sources in an infinite medium

Syed M. Zubair^*
, M. Aslam Chaudhry

^*Corresponding author for this work

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

9 Scopus citations

Abstract

An analytical model for the computation of temperature distribution, in an infinitely extended isotropic body which is subjected to continuously-operating, spherical surface-heat source is investigated. The temperature solutions are discussed in a closed form for the case of time-dependent, spherical-heat source of the form Q(t) = q₀t^v-1, where v is a positive real number. The dimensionless (or reduced) temperature is presented in terms of the Whittaker function. It is found that the present analysis covers the known solution as well as some new solutions.

Original language	English
Pages (from-to)	805-811
Number of pages	7
Journal	International Communications in Heat and Mass Transfer
Volume	18
Issue number	6
DOIs	https://doi.org/10.1016/0735-1933(91)90031-X
State	Published - 1991

Bibliographical note

Funding Information:
The authors would like to acknowledge the support provided by the King Fahd University of Petroleum and Minerals for this research project.

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
General Chemical Engineering
Condensed Matter Physics

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10.1016/0735-1933(91)90031-X

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title = "Temperature solutions due to continuously operating spherical surface-heat sources in an infinite medium",

abstract = "An analytical model for the computation of temperature distribution, in an infinitely extended isotropic body which is subjected to continuously-operating, spherical surface-heat source is investigated. The temperature solutions are discussed in a closed form for the case of time-dependent, spherical-heat source of the form Q(t) = q0tv-1, where v is a positive real number. The dimensionless (or reduced) temperature is presented in terms of the Whittaker function. It is found that the present analysis covers the known solution as well as some new solutions.",

author = "Zubair, \{Syed M.\} and \{Aslam Chaudhry\}, M.",

note = "Funding Information: The authors would like to acknowledge the support provided by the King Fahd University of Petroleum and Minerals for this research project.",

year = "1991",

doi = "10.1016/0735-1933(91)90031-X",

language = "English",

volume = "18",

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journal = "International Communications in Heat and Mass Transfer",

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T1 - Temperature solutions due to continuously operating spherical surface-heat sources in an infinite medium

AU - Zubair, Syed M.

AU - Aslam Chaudhry, M.

N1 - Funding Information: The authors would like to acknowledge the support provided by the King Fahd University of Petroleum and Minerals for this research project.

PY - 1991

Y1 - 1991

N2 - An analytical model for the computation of temperature distribution, in an infinitely extended isotropic body which is subjected to continuously-operating, spherical surface-heat source is investigated. The temperature solutions are discussed in a closed form for the case of time-dependent, spherical-heat source of the form Q(t) = q0tv-1, where v is a positive real number. The dimensionless (or reduced) temperature is presented in terms of the Whittaker function. It is found that the present analysis covers the known solution as well as some new solutions.

AB - An analytical model for the computation of temperature distribution, in an infinitely extended isotropic body which is subjected to continuously-operating, spherical surface-heat source is investigated. The temperature solutions are discussed in a closed form for the case of time-dependent, spherical-heat source of the form Q(t) = q0tv-1, where v is a positive real number. The dimensionless (or reduced) temperature is presented in terms of the Whittaker function. It is found that the present analysis covers the known solution as well as some new solutions.

UR - https://www.scopus.com/pages/publications/0026255585

U2 - 10.1016/0735-1933(91)90031-X

DO - 10.1016/0735-1933(91)90031-X

M3 - Article

AN - SCOPUS:0026255585

SN - 0735-1933

VL - 18

SP - 805

EP - 811

JO - International Communications in Heat and Mass Transfer

JF - International Communications in Heat and Mass Transfer

IS - 6

ER -

Temperature solutions due to continuously operating spherical surface-heat sources in an infinite medium

Abstract

Bibliographical note

ASJC Scopus subject areas

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