Premium
Melting heat transfer in the stagnation‐point flow of an upper‐convected Maxwell (UCM) fluid past a stretching sheet
Author(s) -
Hayat T.,
Mustafa M.,
Shehzad S. A.,
Obaidat S.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2503
Subject(s) - deborah number , nusselt number , prandtl number , heat transfer , laminar flow , stagnation point , mechanics , homotopy analysis method , thermodynamics , boundary layer , reynolds number , film temperature , stagnation temperature , materials science , fluid dynamics , flow (mathematics) , physics , mathematics , homotopy , pure mathematics , turbulence
The steady laminar boundary layer flow and heat transfer past a stretching sheet arre considered. Upper‐convected Maxwell (UCM) fluid is treated as a rheological model. The resulting nonlinear differential system is solved by homotopy analysis method (HAM). The influence of melting parameter ( M ), Prandtl number ( Pr ), Deborah number (β) and stretching ratio ( A = a / c ) on the velocity and temperature profiles is thoroughly examined. It is noticed that fields are effected appreciably with the variation of parameters. Furthermore, it is seen that the local Nusselt number is a decreasing function of melting parameter. Copyright © 2011 John Wiley & Sons, Ltd.