TY - GEN
T1 - Temperature solutions due to continuously-operating, gamma-type heat sources in an infinite medium
AU - Zubair, Syed M.
AU - Chaudhry, M. Aslam
PY - 1992
Y1 - 1992
N2 - A closed-form model for the computation of temperature distribution, in an infinitely extended isotropic body with Gamma-type, point-, line-, and plane-heat sources is discussed. The temperature solutions for these heat sources are discussed for time-dependent heat 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. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete Gamma function Iα(b, x), which can also be expressed by known functions. It is also shown that the present analysis covers some well known (classical) solutions as well as family of new solutions.
AB - A closed-form model for the computation of temperature distribution, in an infinitely extended isotropic body with Gamma-type, point-, line-, and plane-heat sources is discussed. The temperature solutions for these heat sources are discussed for time-dependent heat 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. The reduced (or dimensionless) temperature solutions are presented in terms of the generalized representation of an incomplete Gamma function Iα(b, x), which can also be expressed by known functions. It is also shown that the present analysis covers some well known (classical) solutions as well as family of new solutions.
UR - https://www.scopus.com/pages/publications/0027045127
M3 - Conference contribution
AN - SCOPUS:0027045127
SN - 0791809331
T3 - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
SP - 63
EP - 68
BT - Fundamental Problems in Conduction Heat Transfer
PB - Publ by ASME
ER -