Temperature solutions due to time-dependent moving-line-heat sources

S. M. Zubair; M. A. Chaudhry

doi:10.1007/BF02333318

Temperature solutions due to time-dependent moving-line-heat sources

S. M. Zubair^*
, M. A. Chaudhry

^*Corresponding author for this work

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

34 Scopus citations

Abstract

A closed-form model for the computation of temperature distribution in an infinitely extended isotropic body with a time-dependent moving-line-heat sources is discussed. The temperature solutions are presented for the sources of the forms: (i) Q̇₁(t) = Q̇₀ exp(-γt), (ii) Q̇₂(t) = Q̇₀(t/t(Black star)) exp(-γt), and Q̇₃(t) = Q̇₀[1 + s cos (wt)], where γ and ω are real parameters and t(Black star) characterizes the limiting time. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete gamma function Γ(α, x; b) and its decompositions C_Γ and S_Γ. 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)	185-189
Number of pages	5
Journal	Heat and Mass Transfer
Volume	31
Issue number	3
DOIs	https://doi.org/10.1007/BF02333318
State	Published - Feb 1996

ASJC Scopus subject areas

Condensed Matter Physics
Fluid Flow and Transfer Processes

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@article{68f7f2e278234974a251e7aafd24e17f,

title = "Temperature solutions due to time-dependent moving-line-heat sources",

abstract = "A closed-form model for the computation of temperature distribution in an infinitely extended isotropic body with a time-dependent moving-line-heat sources is discussed. The temperature solutions are presented for the sources of the forms: (i) {\.Q}1(t) = {\.Q}0 exp(-γt), (ii) {\.Q}2(t) = {\.Q}0(t/t(Black star)) exp(-γt), and {\.Q}3(t) = {\.Q}0[1 + s cos (wt)], where γ and ω are real parameters and t(Black star) characterizes the limiting time. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete gamma function Γ(α, x; b) and its decompositions CΓ and SΓ. It is also demonstrated that the present analysis covers the classical temperature solution of a constant strength source under quasi-steady-state situations.",

author = "Zubair, \{S. M.\} and Chaudhry, \{M. A.\}",

year = "1996",

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doi = "10.1007/BF02333318",

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journal = "Heat and Mass Transfer",

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TY - JOUR

T1 - Temperature solutions due to time-dependent moving-line-heat sources

AU - Zubair, S. M.

AU - Chaudhry, M. A.

PY - 1996/2

Y1 - 1996/2

N2 - A closed-form model for the computation of temperature distribution in an infinitely extended isotropic body with a time-dependent moving-line-heat sources is discussed. The temperature solutions are presented for the sources of the forms: (i) Q̇1(t) = Q̇0 exp(-γt), (ii) Q̇2(t) = Q̇0(t/t(Black star)) exp(-γt), and Q̇3(t) = Q̇0[1 + s cos (wt)], where γ and ω are real parameters and t(Black star) characterizes the limiting time. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete gamma function Γ(α, x; b) and its decompositions CΓ and SΓ. 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 a time-dependent moving-line-heat sources is discussed. The temperature solutions are presented for the sources of the forms: (i) Q̇1(t) = Q̇0 exp(-γt), (ii) Q̇2(t) = Q̇0(t/t(Black star)) exp(-γt), and Q̇3(t) = Q̇0[1 + s cos (wt)], where γ and ω are real parameters and t(Black star) characterizes the limiting time. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete gamma function Γ(α, x; b) and its decompositions CΓ and SΓ. It is also demonstrated that the present analysis covers the classical temperature solution of a constant strength source under quasi-steady-state situations.

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U2 - 10.1007/BF02333318

DO - 10.1007/BF02333318

M3 - Article

AN - SCOPUS:0030081698

SN - 0947-7411

VL - 31

SP - 185

EP - 189

JO - Heat and Mass Transfer

JF - Heat and Mass Transfer

IS - 3

ER -

Temperature solutions due to time-dependent moving-line-heat sources

Abstract

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