Partial Differential Equations in Applied Mathematics,
Год журнала:
2024,
Номер
11, С. 100852 - 100852
Опубликована: Июль 31, 2024
In
this
paper,
studied
the
impact
of
heat
generation
Nanofluid
movement
over
a
stretching
sheet
by
consideration
Thermophoresis,
Brownian
motion
&
first
order
chemical
react
parameters
etc.
Constructed
modelling
equations
with
based
on
assumptions
and
introducing
emerging
parameters.
The
converted
to
third
ODE
through
stream
functions.
FDM
collocation
polynomial
technique
(bvp4c)
employed
solve
those
MATLAB
software.
results
are
presented
graphical
form
influence
Thickness
thermal
boundary
stratum
decreased
as
enhancing
Prandtl
number.
Influence
parameter,
fluid
temperature
raised
fall
down
concentration.
Temperature
concentration
enhancement
thermophoresis.
A
decrease
in
transfer
rate
an
increase
mass
observed
thermophoresis,
motion,
parameter
values
increasing.
reaction
intensifies
driving
forces
gradients,
which
govern
transfer,
leading
increased
rates
both
transfer.
Validation
model
present
align
well
past
reported
studies.
This
can
extent
analyse
hybrid
nanofluid
manufacturing
process
detergent,
painting
lubricants,
analysis
blood
flow
artery
Numerical Heat Transfer Part A Applications,
Год журнала:
2024,
Номер
unknown, С. 1 - 24
Опубликована: Март 13, 2024
The
present
research
is
focused
on
dual
Casson
Williamson
nanofluid
with
radiation
and
chemical
reactions
over
stretching/shrinking
sheet.
Incorporating
thermal
significant
as
it
reflects
real-world
scenarios
where
heat
transfer
occurs
through
radiation.
Similarity
transformations
are
utilized
to
transform
governing
equations
into
ordinary
differential
equation.
Further,
the
shooting
algorithm
employed
4th
-order
Runge-Kutta-Fehlberg
method
solve.
Numerical
analysis
was
performed
simplified
nonlinear
determine
major
outcomes
of
key
factors
concerned
boundary
layers.
In
addition,
regression
coefficient
linear
quadratic
found
be
statistically
significant.
It
determined
that
both
solutions
for
local
Nusselt
Sherwood
number
best
suited,
based
statistical
measures.
studies
in
earlier
publications
compared
current
study,
which
demonstrates
they
completely
accordance.
Case Studies in Thermal Engineering,
Год журнала:
2024,
Номер
54, С. 103995 - 103995
Опубликована: Янв. 10, 2024
The
formulation
of
heat
transfer
in
non-Newtonian
fluid
models
remains
a
topic
great
interest
for
researchers.
ultimate
flow
differential
equations
this
direction
are
non-linear
and
hence
difficult
to
solve
analytically.
Therefore,
we
offer
state
the
art
determination
film
effectiveness
(heat
coefficient)
by
using
artificial
intelligence
(AI).
To
be
more
specific,
Carreau
model
is
formulated
at
flat
surface
along
with
thermal
slip,
generation,
velocity
chemical
reaction,
magnetohydrodynamics
(MHD)
effects.
developed
reduced
application
Lie
symmetry
approach
solved
shooting
method.
neural
networking
built
132
sample
values
Nusselt
number
(NN)
as
an
output.
Porosity
parameter,
Prandtl
number,
magnetic
field
production
parameter
all
inputs.
92
(70
%)
designated
training,
whereas
20
(15
validation
testing.
Levenberg-Marquardt
algorithm
used
train
network.
constructed
(ANN)
best
predict
NN
surface.
It
observed
that
large
numbers,
magnitude
greater
porous
surface,
but
converse
true
parameter.
Alexandria Engineering Journal,
Год журнала:
2024,
Номер
101, С. 176 - 185
Опубликована: Май 30, 2024
The
major
aim
of
this
work
is
to
analyze
the
thermophysical
properties
hybrid
nanoliquid
inside
a
square
lid
driven
enclosure
under
effect
applied
magnetic
field
and
mixed
convection.
Hybrid
nanofluid
considered
suspension
Iron-oxide
(Fe3O4)
Copper
(Cu)
nanoparticles
into
water.
cavity
walls
have
varying
such
as
top
adiabatic
wall
moving
continuously
while
lower
maintained
at
high
constant
temperature,
in
addition,
vertical
are
kept
low
fixed
temperature.
right
horizontal
direction.
Additionally,
effects
buoyancy
forces
caused
by
temperature
gradients
shear
continuous
motion
considered.
mathematical
modelling
problem
with
all
assumptions
yields
nonlinear
partial
differential
system.
First
system
transferred
non-dimensional
form
then
transformed
solved
using
Galerkin
finite
element
method
(GFEM)
along
Gaussian
elimination
method.
Results
for
isotherms,
streamlines
average
Nusselt
number
obtained
versus
Richardson
(0.1
≤
Ri
15),
Grashof
(10
Gr
10000),
Hartmann
(0
Ha
100),
volume
fractions
solid
(0.005
ϕ1
0.02)
ϕ2
0.02).
It
observed
that
significant
impacts
on
both
flow
velocity
In
concentration
improves
heat
transfer
performance.
results
may
be
crucial
thermal
management
cooling
electronics,
exchangers,
solar
collectors,
industrial
operations,
medical
equipment,
HVAC
systems,
food
processing,
renewable
energy
systems.
