TY - JOUR
T1 - Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method
AU - Rezania, A.
AU - Ghorbali, A.
AU - Domairry, G.
AU - Bararnia, H.
PY - 2008/12/1
Y1 - 2008/12/1
N2 - In the current work, transient heat conduction in a semi-infinite medium is considered for its many applications in various heat fields. Here, the homotopy analysis method (HAM) is applied to solve this problem and analytical results are compared with those of the exact and integral methods results. The results show that the HAM can give much better approximations than the other approximate methods. Changes in heat fluxes and profiles of temperature are obtained at different times and positions for copper, iron and aluminum.
AB - In the current work, transient heat conduction in a semi-infinite medium is considered for its many applications in various heat fields. Here, the homotopy analysis method (HAM) is applied to solve this problem and analytical results are compared with those of the exact and integral methods results. The results show that the HAM can give much better approximations than the other approximate methods. Changes in heat fluxes and profiles of temperature are obtained at different times and positions for copper, iron and aluminum.
KW - Conduction
KW - Homotopy analysis method
KW - Integral methods
KW - Semi-infinite medium
KW - Temperature profile
KW - Transient heat transfer
UR - http://www.scopus.com/inward/record.url?scp=57749207442&partnerID=8YFLogxK
U2 - 10.1007/s10483-008-1210-3
DO - 10.1007/s10483-008-1210-3
M3 - Journal article
AN - SCOPUS:57749207442
SN - 0253-4827
VL - 29
SP - 1625
EP - 1632
JO - Applied Mathematics and Mechanics
JF - Applied Mathematics and Mechanics
IS - 12
ER -