International Journal of Modelling and Simulation,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 13
Published: Dec. 17, 2024
Our
focus
here
is
on
examining
the
behavior
of
a
boundary
layer
that
regulates
movement
non-Newtonian
fluid
undergoing
chemical
reaction
radiative
paraboloid
surface.
This
includes
studying
fluid's
movement,
temperature,
and
mass
transfer.
The
being
studied
pertains
to
Williamson
model,
which
described
as
type
extended
Newtonian
fluid.
We
have
considered
effects
Joule
heating
dissipation
through
viscous
phenomena
based
rules
heat
movement.
equations
in
mathematical
structure
partial
differential
(PDEs)
governing
continue
flow
model
problem.
A
subsequent
evolution
these
into
ODEs
by
incorporating
similarity
variables.
velocity
field's
schematic
attributable
magnetic
parameter,
thickness
Weissenberg
number,
exhibit
profile
decline.
In
this
research,
both
thermal
radiation
Eckert
number
are
highlighted,
it
concluded
variables
substantially
raise
temperature
field.
track
concentration-reducing
characteristic
remains
tracked
along
with
concentration
Furthermore,
study
comprehensive
presentation
comparative
analyses
previously
published
scholarly
works.
Heliyon,
Journal Year:
2024,
Volume and Issue:
10(2), P. e24150 - e24150
Published: Jan. 1, 2024
The
finite
element
simulations
of
the
Soret-Dufour
and
angled
magnetic
field
effects
on
conjugate
heat
mass
transportation
unsteady
absorbing
hydromagnetic
Casson
flow
across
a
semi-infinite
flat
oscillatory
plate
engrafted
in
porous
medium
with
suction/blowing,
radiation
chemical
reaction
is
performed.
dimensionless
coupled
guiding
nonlinear
PDEs
physical
structure
handled
numerically
by
dynamic
Galerkin
scheme.
demeanor
velocity,
concentration
temperature
profiles
due
to
alterations
regulating
parameters
are
examined
graphically
whereas
wall-friction,
transfer
rates
explicated
utilizing
tabular
data.
research
discovered
that
radiation;
diffusion
thermo
heighten
velocity
distributions
absorption
has
reverse
effect.
Likewise,
thermo-diffusion
intensify
display
overturns
aspect.
Increased
absorption,
inclined
porosity
parameter
stimulate
fluid
exhibit
converse
impact.
In
instance
suction,
concentration,
displayed
downturn
nature
but
for
case
blowing,
it
was
noticed
reversal
trend.
Further,
comparative
analysis
between
current
findings
existing
works
literature
demonstrates
our
results
exact
accurate.
Partial Differential Equations in Applied Mathematics,
Journal Year:
2024,
Volume and Issue:
10, P. 100707 - 100707
Published: May 14, 2024
The
primary
endeavor
of
this
investigation
is
to
determine
the
Darcy-Forchheimer
flow
water-based
silver
nanofluid
(Ag)
across
a
bidirectional
Riga
plate
with
viscous
dissipation
and
nonlinear
radiation.
By
manipulating
pertinent
variables,
governing
equations
undergo
transformation
into
ordinary
differential
equations.
remodeled
problems
are
investigated
numerically
analytically
using
MATLAB
(bvp4c
built-in
function)
algorithm
homotopy
analysis
method
scheme.
repercussions
appropriate
factors
on
x−
y−
direction
velocity
profiles,
temperature
profile,
skin
friction
coefficient
directions,
local
Nusselt
number
examined
via
tables
graphs.
It
found
that
both
directional
fluid
velocities
decline
in
presence
suction/injection
parameter.
Increasing
radiation
parameter
Eckert
exalts
temperature.
surface
shear
stress
decays
as
Forchheimer
grow
larger.
In
addition,
greater
heat
transfer
rate
appears
stationary
compared
plate.
Scientific Reports,
Journal Year:
2024,
Volume and Issue:
14(1)
Published: Aug. 27, 2024
Within
fluid
mechanics,
the
flow
of
hybrid
nanofluids
over
a
stretching
surface
has
been
extensively
researched
due
to
their
influence
on
and
heat
transfer
properties.
Expanding
this
concept
by
introducing
porous
media,
current
study
explore
mass
transport
characteristics
nanofluid.
This
investigation
includes
effect
magnetohydrodynamic
(MHD)
with
chemical
reaction,
thermal
radiation,
slip
effects.
The
nanoparticles,
copper,
alumina
are
combined
water
for
formation
Using
self-similar
method
reduction
Partial
differential
equations
(PDEs)
system
Ordinary
(ODEs).
These
nonlinear
equation
systems
solved
numerically
using
bvp4c
(boundary
value
solver)
technique.
different
physical
non-dimensional
parameters
profiles
such
as
velocity,
temperature,
concentration,
skin
friction,
Nusselt
rate
depicted
through
graphs
tables.
velocity
diminish
magnetic
parameters.
temperature
concentration
reduce
profile
respectively.
higher
values
factor
lessened
friction
coefficient
both
no-slip
conditions.
An
elevation
in
parameter
reduced
boundary
layer
thickness
from
fluid.
number
amplified
climbing
radiation
parameter.
depressed
solutal
Comparison
is
made
published
work
literature
there
excellent
agreement
between
them.
Alexandria Engineering Journal,
Journal Year:
2023,
Volume and Issue:
79, P. 629 - 643
Published: Aug. 24, 2023
This
study
investigates
the
impact
of
radiative
heat
flux
phenomena
and
magnetized
Casson
nanofluid
flow
on
boundary
layer
along
a
non-linear
stretching
surface.
Brownian
motion
thermophoresis
effects
are
used
to
highlight
properties
nanofluid,
including
electrical
conductivity.
The
curves
fluid
behavior
particle
suspensions
in
lithographic
coatings
make
printing
paints
well-described
by
nonlinear
framework.
Suction,
chemical
reaction,
homogeneous
magnetic
field
all
considered.
An
effective
Levenberg-Marquardt
Methodology
(LMM)
for
artificial
neural
networks
(ANNs)
method
is
presented
this
article.
LMM
one
back-propagation
algorithms
with
lowest
latency.
required
changes
necessary
convert
quasi-network
partial
differential
equations
(PDEs)
expressing
reaction
into
set
standards.
couple
system
regarding
model
facilitated
via
numerical
shooting
algorithm
compared
prior
findings,
current
ones
have
very
high
degree
accuracy.
different
factors
rate
transfer,
skin
friction
coefficient,
concentration
nanoparticles,
Sherwood
number,
velocity,
temperature
profiles
illustrated
tabular
visual
form.
fields
exhibit
opposite
effect
velocity
as
parameters
change.
fluid's
slowed
down
Lorentz
force
that
stronger
at
greater
values
field.
Due
suction
parameter,
thickness
momentum,
temperature,
layers
decreases.
In
physical
terms,
pressure
forces
generated
when
parameter
positive,
occurs
negative.
It
revealed
enhancement
thermal
phenomenon
predicted
increasing
parameter.
For
ANN
analysis,
gradient
reduced
upon
enhancing
number
epoch.