ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Dec. 27, 2024
Abstract
The
proposed
investigation
leads
toward
the
discussion
on
dissipative
heat
conducting
flow
of
hybrid
nanofluid
over
an
exponentially
expanding/contracting
plate.
sheet
is
considered
to
be
permeable
therefore,
impact
suction/injection
vital
throughout
discussion.
model
adopted
with
various
thermophysical
parameters
likely
conductivity
and
viscosity
properties.
By
employing
valid
similarity
transformations,
governing
set
equations
boundary
conditions
converted
non‐linear
ODEs.
reduced
system
explicated
using
bvp4c
solver
in
MATLAB.
numerical
outcomes
are
deliberated
graphically
presented
momentum
temperature
profiles.
enhancement
transfer
rate
achieved
through
utilization
Response
Surface
Methodology
(RSM).
Further,
stability
analysis
validate
convergence
time‐dependent
profiles
for
contributing
constraints.
From
RSM,
combination
a
high
level
,
conducive
good
transfer.
Also,
low
slip
parameter
value
(),
emerges
as
most
operating
condition
that
would
maximize
transportation
heat.
Engineering Reports,
Journal Year:
2025,
Volume and Issue:
7(4)
Published: April 1, 2025
ABSTRACT
This
study
investigated
the
dissipative
effects
on
time‐dependent
Casson
nanofluid
motion
over
a
cone,
considering
variable
heat
source/absorption
and
higher‐order
reacting
species.
Water
ethylene
glycol
was
employed
as
base
fluid.
The
dimensional
PDEs
were
transformed
into
dimensionless
by
fitting
non‐dimensional
parameters
solved
using
an
effectual
Galerkin
finite
element
method
(GFEM).
impact
of
physical
momentum,
energy,
concentration
profiles
is
analyzed
via
graphical
representations.
wall
friction,
thermal,
solutal
transport
rates
are
tabularly
detailed.
It
detected
that
increasing
absorbency
parameter,
Eckert
number,
thermal
radiation,
generation
improves
fluid
velocity.
Conversely,
intensifying
magnetic
field,
Prandtl
number
inclination
angle
reduces
temperature
declines
with
mounted
nanoparticle
volume
fraction,
opposite
effect
perceived
increased
Eckert,
Dufour,
Soret
numbers.
Wall
friction
intensifies
rising
porosity,
field
strength,
diffusive
parameters,
while
it
diminishes
higher
fraction.
findings
distinctly
indicate
exhibits
superior
effectiveness
in
enhancing
mass
exchanges
compared
to
nanofluid.
Furthermore,
comparative
analysis
agrees
earlier
findings.
current
model
problem
finds
application
across
various
scientific,
engineering,
technological
domains,
including
energy
production,
space
exploration,
food
preservation,
agricultural
product
manufacturing,
materials
processing,
astrophysical
phenomena,
biomedical
procedures,
enhanced
oil
recovery.
Physics of Fluids,
Journal Year:
2024,
Volume and Issue:
36(12)
Published: Dec. 1, 2024
This
study
presents
a
comprehensive
mathematical
model
to
investigate
the
intricate
transport
processes
involving
transpiration,
thermal
radiation,
and
magnetic
field
in
viscous,
incompressible
fluid
around
rotating
vertical
cone.
By
applying
suitable
transformations,
governing
equations
were
non-dimensionalized
then
solved
numerically
using
bvp4c
method.
The
resulting
velocity,
temperature,
concentration
profiles
examined
under
practical
boundary
conditions,
findings
found
be
excellent
agreement
with
existing
literature,
validating
model's
accuracy.
further
explores
influence
of
various
factors,
including
thermophoretic
coefficient,
field,
Forchheimer
parameters,
relative
differences
temperature
concentration,
on
flow
characteristics.
Additionally,
impact
these
parameters
mass
heat
transfer
rates,
represented
by
Sherwood
Nusselt
numbers
particle
deposition
velocity
Vd*
local
Stanton
number
Str
was
analyzed.
Notably,
highlights
sensitivity
wall
changes
physical
which
significantly
affects
behavior
different
transpiration
parameter
values.
this
provide
valuable
insights
into
complex
interplay
between
phenomena
offer
robust
numerical
framework
for
understanding
predicting
cone
systems
applications
fields,
such
as
engineering,
geophysics,
astrophysics.