Physics of Fluids,
Journal Year:
2023,
Volume and Issue:
35(5)
Published: May 1, 2023
Hydrogel
has
been
widely
used
in
energy
storage
devices
and
flexible
electronic
equipment.
To
promote
its
applications,
a
laminar
boundary
layer
model
is
proposed
to
analyze
the
velocity
temperature
distributions
mold.
Based
on
time
distributed-order
Maxwell
Cattaneo
constitutive
relations,
research
establishes
governing
equations
of
unsteady
two-dimensional
incompressible
viscoelastic
electrically
conducting
hydrogel
taking
into
account
induced
magnetic
field.
When
Reynolds
number
large
enough,
it
necessary
consider
diffusion
layer.
The
effects
thermal
radiation
slip
are
also
considered
at
same
time.
Gauss
quadrature
rule
approximate
integral,
then
numerical
solution
obtained
by
using
finite
difference
method
L1-algorithm.
analytical
constructed
verify
effectiveness
solution.
results
show
that
fluid
decreases
with
increment
parameter,
while
field
increases.
thickness
velocity,
field,
becomes
thinner
enlargement
relaxation
parameters.
Moreover,
fractional
models
compared
through
different
weight
coefficients,
found
obtains
larger
distributions.
Case Studies in Thermal Engineering,
Journal Year:
2023,
Volume and Issue:
47, P. 103062 - 103062
Published: May 11, 2023
Keeping
in
mind
the
whispered
applications
of
Falkner's-Skan
Flows,
present
hydrothermal
scrutinization
intended
to
explore
two-dimensional
flow
pattern
and
thermal
characteristics
featuring
steady
mixed
convective
motion
a
radiating
homogeneous
hybrid
nanofluidic
mixture
(Ag+TiO2)−H2O
(i.e.,
aquatic
containing
spherical
silver
titanium
dioxide
nanoparticles)
over
non-movable
wedge
surface.
By
combining
Darcy's-Brinkman
single-phase
models,
conservation
equations
are
stated
properly
case
where
impacts
specific
variable
heat
magnetic
sources
taken
into
account
effectively
problem.
After
many
simplifications
rearrangements,
derived
boundary
layer
handled
numerically
with
help
robust
iterative
GDQM-NRT
algorithm,
whose
accurate
results
presented
graphically
tabularly.
As
main
findings,
it
is
evidenced
that
buoyancy
forces,
as
well
Lorentz's
Darcy's
act
assisting
factors,
which
exert
cooling
impact
throughout
due
imposed
axial
pressure
gradient.
Energetically,
demonstrated
nanoparticles
play
noteworthy
role
enhancement
transfer
rate
at
surface
strengthening
resulting
viscous
drag
forces.
Physics of Fluids,
Journal Year:
2024,
Volume and Issue:
36(6)
Published: June 1, 2024
This
study
aims
to
boost
thermal
convection
through
careful
selection
and
adjustment
of
nanomaterial
volumes,
focusing
on
the
unsteady
magnetohydrodynamic
flow
past
a
moving
wedge
with
viscous
dissipation
Ohmic
heating
in
ternary
nanofluid
alumina
(Al2O3),
copper
oxide
(CuO),
(Cu)
water.
Employing
mathematical
modeling
numerical
analysis
via
MATLAB's
BVP4C,
it
explores
how
discharge
concentration
influences
characteristics
identifies
critical
conditions
for
single
or
dual
solutions.
Key
parameters
such
as
motion
parameters,
Eckert
number,
magnetic
strength,
nanoparticle
volume
ratios
were
scrutinized
their
impact
fluid
dynamics
heat
transfer.
Results
show
enhanced
convective
transfer
increased
hybridity
fraction,
alongside
suction/injection
parameter
(S),
unsteadiness
(A),
number
(Ec),
(M),
albeit
decreasing
angle
adjustments.
Stability
revealed
stability
initial
solution
vs
instability
secondary.
Introducing
novel
time
variable,
τ=cAt(1−ct),
this
research
demonstrates
that
at
λ=−4.7(a
leftward
wedge)
0.04
hybrid
nanofluids
significantly
outperform
mono
nanofluid,
achieving
efficiency
gains
25.6%
7.5%,
respectively.
foundation
underscores
potential
optimized
mixtures
advanced
applications.
Case Studies in Thermal Engineering,
Journal Year:
2023,
Volume and Issue:
50, P. 103510 - 103510
Published: Sept. 20, 2023
Here
in,
heat
transfer
characteristics
of
a
magnetized
Casson
sodium
alginate-alumina/copper
hybrid
nanofluid
flowing
through
the
permeable
moving
plane
are
investigated
considering
effects
thermal
radiation
and
Joule
heating
with
Tiwari
Das
model.
The
primary
objective
present
study
is
to
investigate
influence
velocity
ratio
parameter
on
solid
volume
fraction
parameter.
In
addition,
temperature
profiles
used
in
current
illustrate
R,
fraction,
suction
effect,
magnetic
field,
heating,
radiation.
To
apply
three-stage
Lobatto
IIIa
boundary
value
problems
(bvp4c)
approach
implement
appropriate
similarity
variables
transform
partial
differential
equations
(PDEs)
into
system
nonlinear
ordinary
(ODEs).
It
has
been
determined
that
there
two
branch
solutions
for
against
using
copper
values.
Non-unique
at
R
<
Rci
however,
no
happens
>
Rci.
As
Eckert
number
grew,
rate
transmission
surged.
increase
values
caused
drop
skin
friction
both
upper
lower
branch.
Open Physics,
Journal Year:
2025,
Volume and Issue:
23(1)
Published: Jan. 1, 2025
Abstract
This
study
computationally
examines
the
water-based
hybrid
nanofluid
flow
with
impacts
of
carbon
nanotubes
on
an
elongating
surface.
The
is
influenced
by
velocity
slip
constraints,
zero-mass
flux
conditions,
and
thermal
convection.
Magnetic
effects
are
applied
to
system
in
normal
direction.
activation
energy
chemical
reactivity
used
concentration
equation.
modeled
equations
have
been
evaluated
numerically
through
bvp4c
technique
after
conversion
dimensionless
form
a
similarity
transformation
approach.
It
has
discovered
this
work
that
expansion
magnetic
porosity
factors,
velocities
declined.
Augmentation
ratio
factor
declined
primary
while
supporting
secondary
velocity.
Thermal
profiles
intensified
progression
Brownian
motion
factor,
Biot
number
thermophoresis
exponential
heat
source
radiation
factors.
Concentration
distribution
escalated
upsurge
Schmidt
reaction
impact
enhances
distribution,
exhibits
reducing
distribution.
To
ensure
validation
work,
comparative
conducted
fine
agreement
among
current
established
datasets.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Nov. 9, 2024
Abstract
This
research
addresses
the
complex
dynamics
of
hybrid
Casson
nanoliquids
in
flow
and
heat
transfer
applications,
focusing
on
interaction
between
fluid
thermal
phenomena
presence
magnetohydrodynamics
(MHD),
viscous
dissipation,
Joule
heating.
The
motivation
behind
this
study
stems
from
need
to
enhance
efficiency
processes
various
engineering
such
as
cooling
systems
electronic
devices,
where
nanofluids
can
offer
superior
performance
compared
conventional
fluids.
novelty
work
lies
its
comprehensive
numerical
investigation
a
nanoliquid
over
moving
permeable
surface,
incorporating
detailed
analysis
MHD
effects,
Using
Tiwari
Das
model
formulate
governing
equations,
employs
similarity
transformations
convert
these
equations
into
system
ordinary
differential
(ODEs).
MATLAB
is
then
used
derive
solutions,
with
stability
ensuring
physical
dependability
solutions.
Key
findings
reveal
that
temperature
distribution
shows
positive
correlation
both
Prandtl
Hartmann
numbers.
Additionally,
relationship
Eckert
number
observed.
These
insights
valuable
guidance
for
engineers
aiming
optimize
using
nanofluids,
highlighting
their
potential
improved
management
practical
applications.
Physics of Fluids,
Journal Year:
2023,
Volume and Issue:
35(7)
Published: July 1, 2023
The
homogeneous
heterogeneous
reactions
(H–H
reactions)
in
the
magnetohydrodynamic
(MHD)
boundary
layer
stagnated
flow
of
an
Al2O3–Cu–water
base
hybrid
nanofluid
past
a
stretching
shrinking
sheet
are
studied.
A
newly
developed
two-phase
model
based
on
Buongiorno's
is
used
to
understand
nanofluids
behaviors.
Multiple
solutions
observed
for
specific
ranges
various
parameters,
whose
stabilities
checked
and
discussed,
which
seem
have
been
neglected
previously
published
articles
about
studies
MHD-stagnation
mathematical
chemical
models
using
nanofluid.
reaction
considered
this
case
isothermal
first
order,
whereas
cubic
autocatalytic.
so
captured
examined
graphs
demonstrate
impact
different
physical
their
insights
also
given.
results
show
that
nanofluids,
distinct
functions
processes
reactions,
play
key
role
homogeneous–heterogeneous
reactions'
transport
mechanism.
quadratic
multiple
regression
analysis
evaluations
local
Nusselt
number
thermophoretic
predominates
over
Brownian
motion
both
magnetic
non-magnetic
effects.
Physics of Fluids,
Journal Year:
2023,
Volume and Issue:
35(12)
Published: Dec. 1, 2023
Fins,
referred
to
as
extended
surfaces,
play
a
crucial
role
in
enhancing
heat
transfer
across
various
industrial
sectors.
They
achieve
this
by
increasing
the
surface
area
available
for
convective
transfer.
These
widespread
applications
span
fields
such
energy
production,
mechanical
engineering,
studies,
recovery
processes,
and
chemical
engineering.
The
broad
utility
of
fins
has
prompted
researchers
enhance
their
precision
through
diverse
methods,
including
numerical,
experimental,
analytical
approaches.
Motivated
these
practical
applications,
study
undertakes
theoretical
investigation
analyze
effects
varying
fin
heights
on
behavior
hybrid
hydromagnetic
nanofluid
within
porous
square
enclosure.
explores
three
distinct
cases.
In
first
case,
fixed-height
are
attached
upper
lower
walls.
second
wall
remains
static,
while
those
from
0.25L
0.5L.
Conversely,
third
case
involves
extending
height
in-house
MATLAB
code,
coupled
with
finite
difference
method,
is
employed
solve
governing
equations,
its
reliability
confirmed
comparison
prior
publications.
Thorough
numerical
simulations
conducted,
encompassing
control
parameters
thermal
radiation,
Rayleigh
number,
nanoparticle
volume
fraction,
Hartmann
generation/absorption,
Darcy
number.
results
visually
presented
streamlines,
isotherms,
average
Nusselt
number
plots,
elucidating
impact
range
scenarios.
It
noticed
that
3
exposes
96.06%
higher
rate
than
2
values
fraction
all
cases,
cause
reduction
entropy
generation.
For
employing
containing
5%
causes
110.41%
involving
bottom
compared
1.
Similarly,
top
leads
100.41%.
