Abstract:
This study investigates the combined in
uence of nonlinear thermal radiation, thermal-
di usion and di usion-thermo on the dynamics of steady boundary layer
ow. The ra-
diative heat
ux in the energy equation is described using Roseland approximation. The
governing non-linear partial di erential equations with the boundary conditions which
model the transport phenomena are transformed using suitable similarity variables into
a system of coupled non-linear ordinary di erential equations. Thereafter, a qualitative
analysis of the problem is investigated by postulating theorems and proofs on existence
and uniqueness of solution and stability of the
ow model. The resulting dimension-
less system of equations governing the model are solved numerically via Runge-Kutta-
Fehlberg Method in conjunction with shooting iteration technique. Also, the results for
the dimensionless velocity, temperature and concentration distributions are presented in
graphs for various values of the thermophysical parameters controlling the
ow regime.
Finally, numerical values of physical quantities, such as the local Skin-friction coe cient,
local Nusselt number, and the local Sherwood number are presented in tabular form. The
results showed that
uid temperature increases while the species concentration decreases
with an increase in Dufour number or a decrease in Soret number.
