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.
Frontiers in Energy Research,
Journal Year:
2024,
Volume and Issue:
12
Published: Jan. 26, 2024
This
paper
introduces
an
exponential
time
integrator
scheme
for
solving
partial
differential
equations
in
time,
specifically
addressing
the
scalar
time-dependent
convection-diffusion
equation.
The
proposed
second-order
accurate
is
demonstrated
to
be
stable.
It
applied
analyze
heat
and
mass
transfer
mixed
convective
flow
of
power-law
nanofluid
over
flat
oscillatory
sheets.
governing
are
transformed
into
a
dimensionless
set
equations,
with
continuity
equation
discretized
using
first-order
scheme.
employed
direction,
complemented
by
central
discretization
space
direction
momentum,
energy,
nanoparticle
volume
fraction
equations.
Quantitative
results
indicate
intriguing
trends,
indicating
that
increase
Prandtl
number
thermophoresis
parameter
leads
decrease
local
Nusselt
number.
modified
valuable
tool
exploring
dynamics
unsteady
moving
sheets
across
various
scenarios.
Its
versatility
extends
examination
unstable
fluid
flows.
work
improves
engineering
technological
design
operation
dynamics.
Improving
numerical
simulations’
precision
computational
efficiency
deepens
our
comprehension
fundamental
physics,
yielding
helpful
information
enhancing
systems
rely
on
nanofluids.
Numerical Heat Transfer Part A Applications,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 27
Published: May 11, 2024
Carbon
nanotubes
have
gained
significant
attention
due
to
their
unique
properties
like
small
dimensions,
high
thermal
conductivity,
and
architecture.
These
enormous
potential
in
various
fields
such
as
nanomedicine,
mechanical
compound
materials,
sensor
devices,
bio-sensors,
many
other
applications.
The
present
study
investigates
the
impact
of
adding
nanoparticles
iron
oxide
(Fe3O4),
single-walled
carbon
(SWCNT),
multi-walled
(MWCNT)
on
magnetohydrodynamics
(MHD)
oscillatory
water-based
flow
over
a
porous
medium.
aim
is
examine
effect
heat
mass
transfer
rate
radiative
viscous
dissipation
that
interacts
with
Fe3O4
nanotubes.
governing
equations
dynamic
nanofluid
systems
are
transformed
into
set
coupled
nonlinear
partial
differential
through
suitable
dimensionless
transformations
further
converted
ordinary
by
taking
appropriate
solutions
for
oscillatory-type
flow.
homotopy
perturbation
method
applied
solve
boundary
conditions
solution
also
compared
numerical
solver
bvp4c.
increase
temperature
Heat
Transfer
computed
linear
slope
regression
results
SWCNT,
MWCNT,
Ferro.
Also,
Skin
friction
varying
Peclet
Eckert
numbers.
velocity
profile
SWCNT/MWCNT/Ferro
nanofluids
being
compared.
observed
be
Ferro
SWCNT
MWCNT.
Modern Physics Letters B,
Journal Year:
2023,
Volume and Issue:
38(19)
Published: Dec. 30, 2023
This
study
emphasizes
the
dual
exposition
of
impact
convective
condition
and
significant
effects
magnetic
field,
heat
source
velocity
slip
on
hybrid
nanofluid
flow
over
exponentially
shrinking
sheet.
The
is
regarded
as
a
contemporary
variety
nanofluid;
consequently,
it
utilized
to
enhance
efficiency
transfer.
By
applying
Tiwari–Das
model,
key
objective
current
research
investigate
involving
factors
Biot
number,
Eckert
volume
fraction,
magnetohydrodynamic
(MHD),
suction
temperature
profiles.
In
addition,
Nusselt
number
skin
friction
variations
have
been
explored
against
effect
solid
fraction
copper
[Formula:
see
text]
[1–3%]
[1–3%].
nonlinear
partial
differential
equations
are
converted
set
an
ordinary
by
incorporating
exponential
similarity
vectors.
Eventually,
rectified
utilizing
MATLAB
bvp4c
solver.
results
demonstrate
presence
for
with
varying
values
number.
transmission
rate
observed
escalate
in
both
cases
strength
numbers
intensifies
range
1–3%.
summary,
show
that
duality
non-unique
solutions
occur
aiding
situation
when
text],
while
there
no
unique
feasible
text].
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.
