Research Square (Research Square),
Journal Year:
2023,
Volume and Issue:
unknown
Published: Nov. 16, 2023
Abstract
This
investigation
aims
to
determine
the
existence
of
a
dual
solution
in
magne-tohydrodynamic
(MHD)
mixed
convective
radiative
ternary
hybrid
nanofluid
flow
permeable
Darcy-Forchheimer
porous
medium
over
an
exponential
shrinking
surface
by
considering
velocity
&
thermal
slips
and
suction
effects
at
surface.
The
impacts
for
three
types
fluid,
namely,
mono
(
Cu/H
2
O
),
Cu-Ag/H
Cu-Ag-Al
3
/H
)
are
analyzed
on
different
fields.
current
work
also
addresses
estimating
entropy
production
light
its
innovative
use
coolant
applications.
nonlinear
partial
differential
equations
(PDEs)
converted
into
set
ordinary
(ODEs)
using
similarity
transformation.
Governing
higher-order
nonlin-ear
ODEs
constructed
solved
bvp4c
numerical
MATLAB
function.
Due
presence
duality
solutions,
stability
these
solutions
is
performed
locating
lowest
eigenvalue.
A
positive
minimum
eigenvalue
represents
upper
stable
branch,
while
negative
minimal
lower
unstable
branch.
emergent
variables
generation
velocity,
temperature,
skin
friction
coefficient,
Nusselt
number
graphically
tabular
form.
findings
show
that
profile
improves
when
transitions
nanofluid.
However,
it
swiftly
degrades
both
branches.
temperature
rises
as
we
transition
from
medium.
It
has
been
shown
radiation
Preprint
submitted
26
October
2023
parameter
significantly
influences
fluid’s
heat
transfer
rate.
In
event
solution,
increment
Forchheimer
slows
liquid
exacerbated
magnetic
field.
Thermal
speeds
up
creation
entropy.
present
optimization
method
provides
fresh,
advantageous
perspective
manufacture
polymer
sheets,
glass
fiber,
crude
oil,
plastic
films,
exchangers,
electronic
gadgets.
Hence,
obtained
results
recommended
developing
industrial
device
setup.
Alexandria Engineering Journal,
Journal Year:
2024,
Volume and Issue:
96, P. 132 - 141
Published: April 9, 2024
The
use
of
hybrid
nanofluids
in
practical
applications
is
pivotal
for
enhanced
heat
transfer
efficiency
especially
electronics
cooling,
and
manufacturing
processes.
This
study
delves
into
numerically
investigating
the
unsteady
water-based
(alumina+copper+titanium
dioxide)
ternary
nanofluid
flow
over
a
permeable
biaxial
shrinking
sheet,
considering
influence
thermal
radiation.
model,
initially
formulated
as
partial
differential
equations
(PDEs),
adeptly
transformed
ordinary
(ODEs)
via
established
similarity
transformations.
Subsequently,
numerical
solution
employing
finite
difference
scheme
bvp4c
MATLAB
unravels
behaviors
crucial
physical
quantities—across
various
parameter
configurations.
Remarkably,
this
reveals
presence
two
potential
solutions,
among
which
only
one
exhibits
stability.
Notably,
findings
underscore
efficacy
enlarging
boundary
suction
diminishing
radiation
augmenting
within
specified
conditions
nanofluid.
A
noteworthy
finding
that
an
increase
by
4%
leads
to
remarkable
9%
delay
layer
separation
nanofluid,
thus
maintaining
laminar
phase
flow.
offers
guidance
insights
researchers
practitioners
delving
mathematical
or
experimental
aspects
dynamics.
Numerical Heat Transfer Part A Applications,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 18
Published: June 12, 2024
This
study
explores
the
impact
of
ternary
hybrid
nanofluid
and
velocity
slip
on
Non-Newtonian
fluid
flow
between
two
nonparallel
plates.
Additional
influence
an
applied
magnetic
field
is
considered
with
Casson
(Blood)
as
a
base
fluid.
Both
analytic
numerical
techniques
are
employed
to
comprehensively
analyze
system's
behavior
under
these
combined
effects.
The
governing
partial
differential
equations
(PDEs)
continuity
momentum
simplified
into
system
ordinary
(ODEs)
through
similarity
transformations.
To
obtain
explicit
series
solution
for
resulting
problem,
we
employ
Duan
Rach
approach
(DRA).
Subsequently,
conduct
thorough
analysis
solution's
convergence
ensure
its
reliability
accuracy.
same
problem
also
solved
by
using
Runge-Kutta-Fehlberg
4th–5th
order
featuring
shooting
technique
excellent
agreement
observed
sets
results.
A
comparison
was
made
results
obtained
from
this
investigation
in
particular
cases
via
HAM-based
Mathematica
package
validation.
Influence
various
parameters
practical
importance
temperature
profiles
studied
portrayed
graphically.
Values
skin
friction
coefficient
tabulated
assigning
different
values
emerging
parameters.
It
found
that
parameter
has
positive
value
converging
channel,
it
implies
there
channel
wall,
directed
direction
flow.
Hence
increases.
Also,
reveal
β+
gets
high
case
lower
can
be
seen
diverging
geometry.
Same
β−.
Numerical Heat Transfer Part B Fundamentals,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 29
Published: May 10, 2024
The
present
investigation
aims
to
determine
the
existence
of
a
dual
solution
in
magnetohydrodynamic
(MHD)
mixed
convective
radiative
flow
Cu-Ag-Al2O3/H2O
tri-hybrid
nanofluid
permeable
Darcy–Forchheimer
porous
medium
over
an
exponentially
shrinking
surface
by
considering
velocity,
thermal
slips,
and
suction
effects
at
surface.
This
study
focuses
on
assessing
entropy
production
novel
coolant
applications.
To
streamline
analysis,
complex
nonlinear
partial
differential
equations
(PDEs)
are
simplified
converting
them
into
set
ordinary
(ODEs)
through
utilization
similarity
transformation
technique.
These
ODEs
then
solved
utilizing
bvp4c
numerical
MATLAB
function.
Graphical
tabular
analyses
conducted
investigate
impact
emerging
variables
generation,
as
well
temperature,
skin
friction
coefficient,
Nusselt
number.
Due
contraction
surface,
solutions
found,
but
cannot
be
found
beyond
critical
values.
values
SC
1.58928,
1.48700,
1.66058,
ξC
−1.239499,
−1.416999,
−1.130030
for
Cu/H2O
nanofluid,
Cu−Ag/H2O
hybrid
Cu−Ag−Al2O3/H2O
respectively.
A
positive
minimum
eigenvalue
γ1
signifies
upper
stable
branch,
while
negative
minimal
indicates
presence
lower
unstable
branch.
exhibits
superior
properties
compared
fluids.
Adding
nanoparticles
traditional
fluids
is
perceived
improving
their
ability
transmit
heat.
analysis
has
demonstrated
that
radiation
temperature
slip
parameters
significantly
influence
heat
transfer
rate.
Thermal
speed
up
creation
entropy.
Additionally,
case
solution,
increase
Forchheimer
number
results
deceleration
liquid
flow,
effect
which
further
amplified
magnetic
field
velocity
parameter.
Contemporary Mathematics,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1707 - 1737
Published: April 17, 2024
This
study
investigates
sodium
alginate-based
nano-lubricants
with
added
copper
and
aluminum
oxides.
The
thermal
performance
of
nano
(Al2O3),
hybrid
(Al2O3
+
CuO)
ternary
CuO
TiO2)
nanofluids
is
studied
compared
in
this
article.
Due
to
the
significant
impact
higher
stream
rates,
nanofluid
crucial
domains
such
as
petroleum
engineering.
A
Sutterby
nanoflow
model
past
a
stretching
sheet
embedded
permeable
media
considered.
In
fluid,
effects
radiation,
hotness
source/sink,
inclined
magneto-convection
under
Stefan
blowing,
chemical
reaction
are
assumed.
highest-order
nonlinear
partial
differential
equation
handled
by
utilizing
similarity
function,
producing
new
set
ordinary
equations.
derived
equations
then
quantitatively
analyzed
using
bvp4c
approach
MATLAB.Graphical
representations
several
features
for
specific
non-dimensional
variables,
including
heat
transfer,
Sherwood,
drag
coefficient,
velocity,
temperature,
concentration,
presented.
An
increase
curve
observed
due
source/sink
parameter;
however,
Nusselt
number
exhibits
opposite
pattern.
participation
Nb
thermophoresis
force
led
greater
radiation.
For
Sc
Kr,
mass
transfer
ratio
lower.
results
show
very
good
congruence
when
literature.
Our
also
prove
that
transfers
more
from
system
than
or
nanofluid.
With
an
rate
energy
rises,
while
local
skin
friction
coefficients
tendency
direction.
Case Studies in Thermal Engineering,
Journal Year:
2023,
Volume and Issue:
52, P. 103721 - 103721
Published: Nov. 10, 2023
The
challenge
arises
from
the
inadequacy
of
conventional
fluids
to
facilitate
effective
heating
and
cooling
processes
in
industries.
Trihybrid
nanofluids,
consisting
a
combination
three
distinct
types
nanoparticles
suspended
base
fluids,
emerge
as
upcoming
generation
heat
transfer
mediums.
This
innovative
category
can
be
attributed
their
broad
potential
applications
multitude
nanotechnology
devices.
aim
present
study
is
analyse
entropy
resulting
changes
temperature-dependent
viscosity
motion
an
electromagnetic
trihybrid
nanofluid
over
porous
stretched
surface.
investigation
considers
impact
radiation,
sources,
chemical
reactions.
nonlinear
partial
differential
equations
that
govern
system
are
converted
into
ordinary
using
similarity
substitution.
ODEs
subsequently
resolved
by
means
shooting
mechanism
conjunction
with
Runge-Kutta-Fehlberg
methodology.
findings
have
been
elucidated
via
execution
comparative
analysis
involving
nanofluids.
velocity
nanofluids
decreased
13.12%
15.8%
due
porousness,
while
it
exhibited
increase
enhanced
convection.
demonstrates
inverse
relationship
electric
magnetic
fields,
leading
2%
variation
nanoparticle
behavior.
However,
temperature
increases
8.24%
subjected
same
fields.
Eckert
number,
source
parameters
enhance
8.12%.
field
intensities
result
reduction
production
4.92%,
Bejan
number
experiences
14.48%
under
Moreover,
generation,
fields
lead
accelerated
transfers.
suggest
9.24%
faster
than
regular
or
hybrid
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2024,
Volume and Issue:
104(7)
Published: April 10, 2024
Abstract
This
study
sheds
light
on
the
complex
dynamics
of
squeezing
flow
in
Jeffrey
fluids
and
highlights
significance
considering
Cattaneo‐Christov
heat
flux
reactive
Species.
To
simplify
mathematical
formulation
facilitate
numerical
analysis,
a
similarity
transformation
is
utilized
to
transform
governing
partial
differential
equations
into
collection
interconnected
ordinary
(ODEs).
The
transformed
ODEs
are
subsequently
resolved
utilizing
bvp4c
technique.
application
technique
enables
accurate
offering
valuable
insights
behavior
viscoelastic
under
conditions
with
thermal
effects
chemical
reactions.
Through
simulations,
temperature
distribution,
characteristics,
reaction
kinetics
within
fluid
examined.