TY - GEN
T1 - Analytical methods for transport equations in similarity form
AU - Tiwari, Abhishek
AU - Tagavi, Kaveh A.
AU - McDonough, J. M.
PY - 2007
Y1 - 2007
N2 - We present a novel approach for deriving analytical solutions to transport equations expressed in similarity variables. We apply a fixed-point iteration procedure to these transformed equations by formally solving for the highest derivative term and, from this (via requirements for convergence given by the contraction mapping principle), deduce a range of values for the outer limit of solution domain, for which the fixed-point iteration gives a converged solution.
AB - We present a novel approach for deriving analytical solutions to transport equations expressed in similarity variables. We apply a fixed-point iteration procedure to these transformed equations by formally solving for the highest derivative term and, from this (via requirements for convergence given by the contraction mapping principle), deduce a range of values for the outer limit of solution domain, for which the fixed-point iteration gives a converged solution.
UR - https://www.scopus.com/pages/publications/43449110745
UR - https://www.scopus.com/pages/publications/43449110745#tab=citedBy
U2 - 10.1115/HT2007-32294
DO - 10.1115/HT2007-32294
M3 - Conference contribution
AN - SCOPUS:43449110745
SN - 0791842746
SN - 9780791842744
T3 - 2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007
SP - 1041
EP - 1048
BT - 2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007
T2 - 2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007
Y2 - 8 July 2007 through 12 July 2007
ER -