Abstract
Abstract
This paper presents a novel investigation into the intricate behaviour of momentum and heat transport phenomena in a non-Newtonian Maxwell fluid flowing over a stretching sheet. Incorporating thermal radiation
R
d
,
magnetic fields
M
,
buoyancy effects
λ
T
,
and porous media
K
under convective boundary conditions the study unveils complex fluid behaviours. Energy equation has been obtained by incorporating non-uniform heat source/sink along with viscosity of the fluid as a function of temperature across the domain. Leveraging the Lie Scale transformation technique, the governing non-linear partial differential equations are converted into non-linear ordinary differential equations. With the aid of Homotopy Analysis Method (HAM), a semi-analytical technique, the solutions describing the physical phenomenon of the current model have been obtained. Further, the results are assessed through the graphical analysis of the velocity profile
f
′
η
,
thermal profile
θ
η
,
skin friction coefficient
C
f
R
e
1
2
,
and Nusselt number
N
u
R
e
−
1
2
.
The obtained results using HAM shows good agreement with the existing literature. The present work offers practical implications for various engineering applications.