Heat transfer analysis for steady, laminar flow of an incompressible,
homogeneous, non-Newtonian fluid of second grade at a stagnation point
is presented. A pseudosimilarity solution is used that enables comput
ation of the flow characteristics for any value of the dimensionless n
ormal stress modulus, K, of the fluid. The energy equation is discreti
zed using central differences, and solved using the Thomas algorithm.
A powerlaw variation for the wall temperature is assumed. Results prov
ide the effect of non-Newtonian nature of the fluid on the heat transf
er characteristics for different values of Prandtl and Eckert numbers,
and wall-temperature variation. Results match exactly with those from
an earlier perturbation analysis for small K. For large K as well as
for the effect of viscous dissipation, no results are available hereto
fore. Amongst other applications, the analysis is relevant to the impi
ngement of a non-Newtonian jet on a flat surface.