Analytic study of temperature solutions due to gamma-type moving point-heat sources

M. Aslam Chaudhry; Syed M. Zubair

doi:10.1016/S0017-9310(05)80072-9

Analytic study of temperature solutions due to gamma-type moving point-heat sources

M. Aslam Chaudhry^*
, Syed M. Zubair

^*Corresponding author for this work

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

23 Scopus citations

Abstract

A closed-form model for the computation of temperature distribution in an infinitely extended isotropic body with Gamma-type moving point-heat sources is discussed. The temperature solutions for these moving sources are discussed for time-dependent sources of the forms: (i) Q₁(t) = Q₀ exp (-λt), and (ii) Q₂(t) = Q₀(t/t^*) exp (-λt), where λ is a real number and t^* characterizes the limiting time. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete Gamma function I_x(b, x), which is also expressed by complementary error functions. It is also demonstrated that the present analysis covers the classical temperature solution of a constant strength source under quasi-steady-state situations.

Original language	English
Pages (from-to)	1633-1637
Number of pages	5
Journal	International Journal of Heat and Mass Transfer
Volume	36
Issue number	6
DOIs	https://doi.org/10.1016/S0017-9310(05)80072-9
State	Published - 1993

Bibliographical note

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

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1016/S0017-9310(05)80072-9

Cite this

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title = "Analytic study of temperature solutions due to gamma-type moving point-heat sources",

abstract = "A closed-form model for the computation of temperature distribution in an infinitely extended isotropic body with Gamma-type moving point-heat sources is discussed. The temperature solutions for these moving sources are discussed for time-dependent sources of the forms: (i) Q1(t) = Q0 exp (-λt), and (ii) Q2(t) = Q0(t/t*) exp (-λt), where λ is a real number and t* characterizes the limiting time. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete Gamma function Ix(b, x), which is also expressed by complementary error functions. It is also demonstrated that the present analysis covers the classical temperature solution of a constant strength source under quasi-steady-state situations.",

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

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

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doi = "10.1016/S0017-9310(05)80072-9",

language = "English",

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pages = "1633--1637",

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T1 - Analytic study of temperature solutions due to gamma-type moving point-heat sources

AU - Aslam Chaudhry, M.

AU - Zubair, Syed M.

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

PY - 1993

Y1 - 1993

N2 - A closed-form model for the computation of temperature distribution in an infinitely extended isotropic body with Gamma-type moving point-heat sources is discussed. The temperature solutions for these moving sources are discussed for time-dependent sources of the forms: (i) Q1(t) = Q0 exp (-λt), and (ii) Q2(t) = Q0(t/t*) exp (-λt), where λ is a real number and t* characterizes the limiting time. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete Gamma function Ix(b, x), which is also expressed by complementary error functions. It is also demonstrated that the present analysis covers the classical temperature solution of a constant strength source under quasi-steady-state situations.

AB - A closed-form model for the computation of temperature distribution in an infinitely extended isotropic body with Gamma-type moving point-heat sources is discussed. The temperature solutions for these moving sources are discussed for time-dependent sources of the forms: (i) Q1(t) = Q0 exp (-λt), and (ii) Q2(t) = Q0(t/t*) exp (-λt), where λ is a real number and t* characterizes the limiting time. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete Gamma function Ix(b, x), which is also expressed by complementary error functions. It is also demonstrated that the present analysis covers the classical temperature solution of a constant strength source under quasi-steady-state situations.

UR - https://www.scopus.com/pages/publications/0027572859

U2 - 10.1016/S0017-9310(05)80072-9

DO - 10.1016/S0017-9310(05)80072-9

M3 - Article

AN - SCOPUS:0027572859

SN - 0017-9310

VL - 36

SP - 1633

EP - 1637

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 6

ER -

Analytic study of temperature solutions due to gamma-type moving point-heat sources

Abstract

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ASJC Scopus subject areas

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