ABSTRACT
This
work
deals
with
the
magnetohydrodnamic
(MHD)
flow
of
non‐miscible
couple
stress
and
Newtonian
fluids
within
a
horizontally‐oriented
porous
cylinder.
The
overall
domain
is
divided
into
two
separate
regions.
In
core
area,
identified
as
region
I,
fluid
takes
place,
while
in
II,
which
forms
outer
part
occurs.
linear
Navier
slip
condition
on
cylinder's
surface
continuity
conditions
for
velocities
shear
stresses,
along
vanishing
at
fluid‐fluid
surface,
have
been
taken
boundary
interface
conditions,
respectively.
nonlinear
partial
differential
equations
describing
situation
are
first
mathematically
formulated
and,
then
cast
dimensionless
form.
Closed‐form
solutions
velocities,
wall
stress,
total
rate
obtained
by
solving
non‐dimensionalized
governing
through
direct
method.
influences
different
parameters
velocity
both
areas
depicted
graphically.
numerical
values
various
also
tabulated.
examination
results
indicates
that
diminish
increases
Hartmann
number,
viscosity
ratio,
porosity
parameter.
Conversely,
they
escalate
higher
Reynolds
numbers,
pressure
gradients,
parameters.
Furthermore,
increase
parameter
(core
region),
(peripheral
region)
remains
nearly
constant.
findings
this
research
align
very
well
documented
existing
literature.
study
novel
it
examines,
time,
effects
magnetic
fields
immiscible
(couple
Newtonian)
medium
cylindrical
coordinates.
Ain Shams Engineering Journal,
Год журнала:
2024,
Номер
15(10), С. 102954 - 102954
Опубликована: Июль 14, 2024
This
work
investigates
the
Ohmic
heating,
nonuniform
heat
generation,
and
Hall
effects
with
Cattaneo-Christov
model
(CCM)
on
flow
transfer
of
power-low
non-Newtonian
fluids
(NNFs)
past
stretching
surface
embedded
in
a
porous
medium.
Runge-Kutta
method
is
used
to
solve
non-linear
ODEs
numerically
using
shooting
procedure.
We
study
for
power
law
values
0.7
1.2,
respectively.
Innovation
this
lies
studying
effect
currents
presence
buoyancy
force
an
irregular
source
slip
NNFs
moving
through
Darcy
Varying
velocities,
frictional
forces,
Nusselt
numbers
are
examined.
Resulting
entropy
also
examined
computational
problem
investigation.
Model-simulated
results
suggested
that
various
factors
play
critical
role
constructing
thermal
systems.
It
asserted
parameter,
mixed
convection
Biot
numbers,
relaxation
time
improve
transference
rates
by
directly
affecting
fluid
molecules
temperature.
This
paper
deals
with
a
heat
transfer
methodology
to
explore
the
electromagnetohydrodynamic
(EMHD)
flow
of
micropolar
fluid
through
membrane
composed
impermeable
cylindrical
particles
covered
by
heterogeneous
porous
layer.
Here,
authors
assumed
that
fluid's
viscosity
and
permeability
medium
are
inversely
proportional
temperature
position,
respectively.
In
this
work,
cell
model
technique
is
adopted
examine
motion
fluid.
due
uniform
pressure
gradient,
an
electric
magnetic
field
applied
in
radial
tangential
directions
cylinder,
The
Brinkman–Forchheimer
equation
used
particle.
exact
solution
present
intractable
presence
non-linear
term
temperature-dependent
viscosity,
hence
governing
equations
problem
solved
employing
implicit
finite
difference
method
(FDM).
numerical
for
linear
angular
velocities,
temperature,
Kozeny
constant,
hydrodynamic
displayed
graphical
tabular
form
various
emerging
parameters
such
as
Hartmann
number,
slip
parameter,
apparent
Forchheimer
Brinkman
number.
noteworthy
findings
investigation
suppressed
constant
when
number
increased,
while
enhanced
increasing
Additionally,
it
observed
increased
strength
field.
Conversely,
increase
parameter
leads
decrease
velocity
current
study's
have
potential
improve
our
comprehension
crucial
industrial
medical
applications.
Blood
arteries
are
important
part
of
our
cardiovascular
system.
A
comprehensive
study
shape
and
anatomy
blood
allows
to
elucidate
the
dynamics
flow
in
these
arteries.
Typically,
a
curved-tube
like
structure,
with
arterial
walls
exhibiting
composition
various
porous
layers.
The
current
embarks
on
theoretical
exploration
two-fluid
model
heat
transfer
through
curved
artery
under
an
influence
magnetic
field.
composed
Brinkman
Darcy
flows
exerts
centrifugal
forces
that
leads
change
patterns.
significant
effects
curvature
along
intensity
applied
field
patterns,
transfer,
resistance
impedance
have
been
investigated
present
work.
mathematical
proposed
work
is
tackled
by
homotopy
analysis
method
using
physically
relevant
boundary
interface
conditions.
outcome
rate
increases
increase
parameter,
it
reduces
raising
couple
stress
parameter
Hartmann
number.
novelty
this
lies
consideration
inner
endothelial
layers
artery.
result
presented
vital
assess
condition
atherosclerosis,
aneurysms,
vasculties,
clot,
etc.;
beyond
this,
can
be
extended
for
medical
diagnostics,
treatment
planning,
device
design,
drug
delivery
optimization,
biomedical
engineering
research.
This
ultimately
contribute
improved
patient
care
outcomes
medicine.
The
present
research
investigates
the
characteristics
of
flow
dynamics
and
heat
transfer
couple
stress
fluid
through
a
circular
microtube
grafted
with
polyelectrolyte
layer.
An
alternating
current
electric
field
is
applied
to
influence
transfer.
A
mathematical
framework
established
describe
phenomenon
time-periodic
electroosmotic
by
incorporating
Poisson–Boltzmann
equations,
momentum
energy
equations
for
both
electrolyte
layers.
In
beginning,
equation
solved
analytically
under
Debye–Hückel
approximation
obtain
potential
distribution.
Subsequently,
are
then
layers,
analytical
solutions
these
obtained.
Finally,
discretized
numerically
using
finite
difference
scheme
Thomas
algorithm.
primary
results
this
study
indicate
that
velocity
oscillation
increases,
but
it
confined
region
near
interface
polyelectrolyte-electrolyte
while
amplitude
decreases
higher
oscillating
Reynolds
numbers.
Temperature
magnitude
increases
parameter,
thickness
layer,
parameters,
Brinkman
number,
drag
parameter
it.
Further,
as
number
core
experiences
more
frequent
temperature
oscillations,
decreases.
These
findings
provide
deeper
insights
into
electrokinetic
transport
phenomena,
which
hold
particle
manipulation,
enhancement
techniques,
biochip
drug
delivery,
biomedical
engineering
advancements.
Modern Physics Letters B,
Год журнала:
2025,
Номер
unknown
Опубликована: Апрель 9, 2025
In
this
work,
the
authors
have
analyzed
magneto-hydrodynamic
(MHD)
flow
of
non-miscible
micropolar-Newtonian
fluids
through
annular
regions
three
co-rotating
concentric
cylinders
under
impact
stress
jump
condition.
Here,
it
is
considered
that
inner
and
outer
are
impermeable
while
middle
cylinder
anisotropic
permeable,
a
non-isotropic
porous
material
filled
between
cylinders.
The
Newtonian
fluid
flowing
cylinders,
however,
micropolar
takes
place
region
composed
motion
in
rotating
due
to
rotation
inner,
middle,
along
with
pressure
gradient
presence
uniform
magnetic
field.
Brinkman
model
used
for
material.
Navier
slip
condition
boundary
employed
continuity
velocities.
also
hyperstick
conditions
at
interfaces
two
immiscible
flows.
governing
equations
solved
by
semi-analytic
Homotopy
Analysis
Method
(HAM).
examined
variation
pressure,
head
loss,
radial
velocity,
tangential
micro-rotational
interfacial
stream
function
respect
Hartmann
number,
conditions,
parameter,
permeability
couple
porosity.
From
present
model,
has
been
demonstrated
velocity
Newtonian-micropolar
increased
increasing
decreasing
porosity
medium,
velocities
medium.
It
noticed
parameter
enhanced
but
decreased
loss
fluid.
can
be
thermal
enhancement
journal
bearing
understand
nature
as
lubricant
blood/plasma
arteries.
Zeitschrift für Naturforschung A,
Год журнала:
2025,
Номер
unknown
Опубликована: Май 5, 2025
Abstract
The
heat
transfer
analysis
from
the
mixture
flow
of
Carreau
fluid
in
infinite
horizontal
parallel
plates
under
impact
magnetic
field
is
proposed
this
theoretical
analysis.
and
through
offers
various
applications
nuclear
reactors,
microfluidic
devices,
lubrication
systems,
chemical,
industrial
biological
etc.
With
motivation
current
non-Newtonian
fluids
(Carrreau
fluid)
used
industries
chemical
engineering,
goal
research
to
develop
a
mathematical
model
based
on
phase
particulate
control
temperature
increase
convective
considered
suitable
range
physical
parameters
including
parameter,
Darcy
number,
Power-law
index,
slip
boundary
conditions,
volume
fraction
density
Weissenberg
number.
nonlinear
established
with
contribution
stress
tensor
solved
perturbation
series
technique.
computational
results
are
discussed
plots
tables.
From
calculated
data
it
perceived
that
improved
velocity
distributions.
It
also
noted
declines
thermal
field.
number
upsurge
fields.
comparative
between
simple
observed
gives
more
as
compared
fluid.
present
will
help
understand
basic
mixture-phase
highly
viscous
porous
medium
when
uniform
applied
transversely.
Further,
study
found
medical
treatment
wound
healing
hyperthermia,
exchangers,
This
can
be
useful
petroleum
for
cleaning
purifying
immiscible
oils.
Chemical Product and Process Modeling,
Год журнала:
2024,
Номер
19(5), С. 825 - 846
Опубликована: Окт. 1, 2024
Abstract
In
this
paper,
we
investigate
the
impact
of
an
inclined
magnetic
field
uniform
intensity
on
viscous,
incompressible
pressure-driven
Stokes
flow
through
a
slip-patterned,
rectangular
microchannel
using
boundary
element
method
based
stream
function-vorticity
variables
approach.
The
present
investigation
focuses
only
out-phase
slip
patterning
walls.
We
address
two
scenarios
patterning,
specifically
large
and
fine
which
are
determined
by
periodicity
patterning.
utilized
no-slip
Navier’s
conditions
in
alternative
manner
equations
govern
viscous
microchannel.
assume
very
small
Reynold’s
number
to
eliminate
equation
induced
study.
analyzed
considered
dimensionless
hydrodynamic
parameters,
including
Hartman
(
Ha
),
inclination
angle
θ
)
field,
length
l
s
fluid
dynamics.
case
slip,
observed
significant
variations
both
velocity
pressure
gradient,
contrast
Fine
significantly
increases
shear
stress
at
regimes,
while
reduces
it
regimes.
has
several
notable
implications,
such
as
regulation
advancement
mixing
heat
transmission
within
microfluidic
systems.