ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2025,
Volume and Issue:
105(1)
Published: Jan. 1, 2025
Abstract
In
real‐world
processes,
such
as
heat
transfer,
fluid
flow,
and
chemical
reactions,
irreversibility
occurs
frequently,
which
induces
an
augment
in
entropy.
The
optimization
of
the
entropy
generation
a
mechanical
system
is
one
fundamental
areas
research
to
channel
energy
for
utilization.
This
exhibits
nanofluid
flow
drenched
fluid‐saturated
non‐Darcy
porous
medium
toward
stagnation
point.
line
also
experiences
existence
nonuniform
generation/absorption
following
first‐order
reaction,
enhances
applicability
this
model
different
domains
science
engineering.
A
special
form
Lie
group
approach
applied
revert
governing
partial
differential
into
its
self‐similar
ordinary
form.
solutions
transformed
nonlinear
ODEs
are
acquired
analytically
through
DTM
‐Padé
well
numerically
by
Runge–Kutta–Fehlberg
(RKF‐45)
method
coupled
with
shooting
process.
fallouts
vividly
sketched
graphically.
One
upshots
reveals
that
escalation
space
temperature‐reliant
absorption
parameters
can
optimize
thermal
so
total
generation.
Meanwhile,
incrementing
Darcy
parameter
from
0
0.8,
wall
shear
stress
decays
23.7%,
whereas
same
hike
Forchheimer
resistance
factor,
declines
rate
mass
transfer
approximately
2.6%
3.6%,
respectively.
Another
upshot
space‐dependent
source
0.1
0.5,
Nusselt
number
significantly
decreased
23.9%.
Meanwhile
boosting
sink
‐0.1
‐0.5
causes
inclination
transportation
10.5%.
Moreover,
it
found
transport
be
controlled
enhancing
constructive
reaction
rate.
We
hope
study
will
beneficial
many
engineering
industrial
particularly
geothermal
extraction,
nuclear
waste
disposal
management,
groundwater
filtration
machinery
food
processing
equipment.
