European Journal of Theoretical and Applied Sciences,
Год журнала:
2024,
Номер
2(1), С. 3 - 17
Опубликована: Янв. 1, 2024
An
attempt
is
made
in
this
study
to
investigate
the
problem
of
micropolar
fluid
flow
a
porous
medium
theoretically.
Employing
Berman’s
similarity
solution,
model
equations
governing
transformed
into
set
nonlinear
ordinary
differential
equation
and
solved
using
Temimi-Ansari
method.
Expressions
for
velocity
micro-rotation
profiles
are
obtained
under
impressions
diverse
parameters
affecting
problem.
Using
symbolic
computation
software
Mathematica,
nondimensional
numerically
Keller
Box
scheme.
Comparison
between
analytical
solution
by
TAM
numerical
result
compared
with
results
literature
observe
rapid
convergence.
Findings
from
showed
presence
Case Studies in Thermal Engineering,
Год журнала:
2024,
Номер
61, С. 104859 - 104859
Опубликована: Авг. 5, 2024
This
paper
uses
three
analytical
methods
to
find
the
novel
results
in
two-dimensional
time-dependent
MHD
oscillatory
flow
and
heat
transfer
an
asymmetric
wavy
porous
channel.
The
corresponding
constitutive
equations
become
complex
by
considering
pressure
gradient
as
a
function.
existence
of
both
real
imaginary
solutions
for
fluid
velocity
temperature.
changes
parameters
like
Hartmann
number,
wavelength,
Grashof
medium
shape
factor
will
affect
velocity.
Still,
only
radiation
parameter
Increasing
factor,
drastically
reduce
Reynolds
number
should
theoretically
velocity,
but
according
boundary
condition
definition,
value
becomes
zero.
Altering
frequency
walls
Peclet
temperature
component,
increasing
these
increase
average
profile.
uniqueness
this
study
lies
resolution
differential
way
that
has
not
been
attempted
before.
indicated
each
set
was
nearly
identical,
highlighting
outcomes'
precision.
Modern Physics Letters B,
Год журнала:
2024,
Номер
unknown
Опубликована: Апрель 5, 2024
Nanofluids
are
the
fluid
suspensions
in
nanoparticles.
A
considerable
enhancement
their
features
is
less
nanoparticle
concentrations.
Various
studies
on
nanofluids
focused
representing
performance
with
respect
to
functions
—
here
enhancing
straight
heat
transfer
was
critical,
like
that
nuclear
reactors,
transportation,
different
industrial
settings,
biology,
food
and
electronics.
Hence,
this
consideration
analyzes
utilization
of
novel
mathematical
method,
called
bvp4c
method
by
viscous
energy
research
Buongiorno-modeled
nanoliquid
confined
apt
permeable
plate
along
slip
mechanism.
The
thermophoresis
Brownian
dispersion
affects
again
assumed.
This
solutal
thermal
dependent
appreciable
effect
source,
variable
chemical
reactions
nonlinear
radiation.
dimensional
model
partial
differential
equations
(PDEs),
applied
precise
related
applications,
had
been
adapted
into
ordinary
(ODEs).
modified
Nusselt
number
decreases
increasing
heating,
radiation,
parameter
motion,
always
it
rises
due
temperature
ratio
parameter.
validation
outcomes
attained
past
solutions
free
convectional
flow
non-magnetic
research.
There
many
petroleum
industries
engineering
electroplating,
processing
substantial
metals
solar
water
heaters.
Heliyon,
Год журнала:
2024,
Номер
10(15), С. e34888 - e34888
Опубликована: Июль 22, 2024
This
study
employs
the
Hybrid
Analytical-Numerical
(HAN)
method
to
investigate
steady
two-dimensional
magnetohydrodynamic
(MHD)
nanofluid
flow
over
a
permeable
wedge.
Analyzing
hyperbolic
tangent
flow,
governing
time-independent
partial
differential
equations
(PDEs)
for
continuity,
momentum,
energy,
and
concentration
transform
into
set
of
nonlinear
third-order
coupled
ordinary
(ODEs)
through
similarity
transformations.
These
ODEs
encompass
critical
parameters
such
as
Lewis
Prandtl
numbers,
Brownian
diffusion,
Weissenberg
number,
thermophoresis,
Dufour
Soret
magnetic
field
strength,
thermal
radiation,
power
law
index,
medium
permeability.
The
explores
how
variations
in
these
impact
velocity
field,
skin
friction
coefficient,
Nusselt,
Sherwood
numbers.
Noteworthy
findings
include
sensitivity
fluid
like
wedge
angle,
permeability,
melting
heat
transfer.
coefficient
experiences
significant
increase
with
specific
parameter
changes,
while
Nusselt
numbers
remain
relatively
constant.
local
Reynolds
number
significantly
affects
less
pronounced
on
coefficient.
study's
uniqueness
lies
employing
analytical
HAN
extracting
recent
insights
from
results.
Physics of Fluids,
Год журнала:
2024,
Номер
36(11)
Опубликована: Ноя. 1, 2024
This
study
presents
a
comprehensive
analytical
approach
to
address
the
complexities
of
flow
and
heat
transfer
in
planar
Taylor–Couette
systems.
Utilizing
innovative
simplifying
assumptions
conversion
variables,
we
analyze
fluid
dynamics
between
two
cylinders,
where
outer
cylinder
is
hotter,
inner
rotates
at
higher
velocity.
Employing
cylindrical
coordinate
system,
research
derives
governing
equations
for
continuity,
momentum,
energy
dimensions
under
steady-state
conditions.
These
nonlinear
partial
differential
are
transformed
into
set
ordinary
(ODEs)
using
specific
facilitating
more
practical
analysis
flow.
The
leverages
distinct
mathematical
methods
solve
ODEs,
introducing
novel
application
penalty
function
replace
pressure
term,
which
traditionally
used
numerical
studies.
Our
findings
indicate
that
with
Reynolds
number
(Re)
900
Prandtl
(Pr)
6.9,
dimensionless
radial
velocity
approaches
zero,
validating
model.
reveals
significant
tangential
gradient
cylinders
an
efficient
from
cylinder,
entropy
values
decreasing
radially
outward.
Quantitative
results
include
calculated
Nusselt
numbers
1.58
−0.58
while
skin
friction
coefficients
−0.0049
−0.0012,
respectively.
non-negative
corroborate
compliance
second
law
thermodynamics,
ensuring
robustness
results.
Additionally,
delves
generation,
number,
coefficient,
offering
holistic
view
dynamics.
Proceedings of the Institution of Mechanical Engineers Part E Journal of Process Mechanical Engineering,
Год журнала:
2024,
Номер
unknown
Опубликована: Апрель 1, 2024
In
this
research,
we
explore
the
impact
of
changing
viscosity
in
context
asymmetric
laminar
flow
Casson
fluid
with
thermal
radiation.
The
occurs
within
a
channel
that
can
either
expand
or
contract,
featuring
porous
walls.
equations
are
converted
into
ordinary
differential
(ODEs)
through
appropriate
transformations
to
simplify
analysis.
velocity
field
and
temperature
profile
expressions
obtained
using
Akbari-Ganji's
method
(AGM)
finite-element
(FEM).
graphs
show
different
parameters
on
characteristics,
especially
viscosity-dependent
parameter,
expansion
ratio.
near
lower
wall
increases
parameter
but
decreases
after
mid-point.
is
more
affected
by
temperature-dependent
for
Newtonian
than
non-Newtonian
fluid.
results
showed
as
Prandtl
number
increases,
decreases,
while
an
increase
Radiation
parameter.
Also,
An
ratio
leads
higher
temperatures,
whereas
decrease
power-law
index
reduced
temperatures.
we've
acquired
were
cross-referenced
prior
studies,
revealing
employed
methods
exhibit
high
precision.
novelty
present
work
obtaining
new
use
semi-analytical
method.
Scientific Reports,
Год журнала:
2023,
Номер
13(1)
Опубликована: Дек. 9, 2023
Abstract
The
purpose
of
this
theoretical
study
is
to
explore
the
behavior
an
electrically
conducting
micropolar
fluid
when
subjected
a
uniform
magnetic
field
along
vertical
axis
between
two
stretching
disks
as
structure
problem
changes.
In
context,
structural
changes
refer
alterations
in
distance
discs
or
rate
discs.
governing
equations
are
set
nonlinear
coupled
partial
differential
equations,
which
transformed
into
ordinary
equation
by
similarity
transformation.
transformation
results
four
dimensionless
quantities
and
their
derivatives
that
appear
equations.
Nine
parameters
derived
via
variables,
including
Reynolds
number,
parameter,
radiation
Prandtl
Eckert
Schmidt
three
parameters.
Previous
solutions
focused
on
analyzing
effect
each
parameter
quantities.
However,
type
analysis
mainly
mathematical
does
not
provide
practical
results.
This
study’s
primary
novelty
redefine
analyze
physical
depend
them.
semi-analytical
hybrid
analytical
numerical
method
(HAN-method)
used
solve
demonstrate
affect
all
five
radial
velocity,
axial
microrotation,
temperature,
concentration.
most
significant
finding
increase
causes
sharp
temperature
Nusselt
number.
Conversely,
increasing
decrease
micro-rotation
wall
couple
stress.
They
were
compared
previous
specific
case
validate
results’
accuracy.
Multidiscipline Modeling in Materials and Structures,
Год журнала:
2024,
Номер
unknown
Опубликована: Окт. 28, 2024
Purpose
This
study
examines
fluid
flow
within
a
rectangular
porous
medium
bounded
by
walls
capable
of
expansion
or
contraction.
It
focuses
on
non-Newtonian
with
Casson
characteristics,
incompressibility,
and
electrical
conductivity,
demonstrating
temperature-dependent
impacts
viscosity.
Design/methodology/approach
The
is
two-dimensional,
unsteady,
laminar,
influenced
small
electromagnetic
force
conductivity.
Hybrid
Analytical
Numerical
Method
(HAN
method)
resolves
the
constitutive
differential
equations.
Findings
fluid’s
velocity
parameter,
viscosity
variation
resistive
force,
while
temperature
affected
radiation
Prandtl
number,
power-law
index.
Increasing
parameter
from
0.1
to
50
results
in
4.699%
increase
maximum
0.123%
average
velocity.
Viscosity
0
15
decreases
1.42%.
Wall
(a
−4
4)
increases
19.07%
1.09%.
100.92%
wall
51.47%
number
change
7.
Originality/value
Understanding
dynamics
various
environments
crucial
for
engineering
natural
systems.
research
emphasizes
critical
role
movements
offers
valuable
insights
designing
systems
requiring
heat
transfer.
presents
new
findings
transfer
channel
two
parallel,
contraction,
which
have
not
been
previously
reported.
Results in Engineering,
Год журнала:
2024,
Номер
22, С. 102294 - 102294
Опубликована: Май 27, 2024
The
modern
era
is
concerned
about
the
problems
related
to
heat
transfer
and
energy
storage.
hybridization
of
nanofluids
stands
an
important
study
due
enhanced
thermophysical
properties
these
effective
fluids.
distinguished
response
hybrid
towards
thermal
conductivity
appreciated
for
heating
cooling
industrial
purposes.
Thus,
current
intends
investigate
effect
magnetohydrodynamics
radiation
on
aiding
opposing
flow
nanofluid
flowing
over
a
porous
exponentially
stretching
surface.
influenced
by
presence
stagnation
point
non-uniform
source/sink
while
convective
boundary
conditions
are
also
assumed.
control
equations
exhibited
according
assumptions
similarity
transformation
leads
system
ordinary
differential
from
partial
equations.
deduced
solved
numerically
using
bvp4c
technique,
built-in
MATLAB
based
algorithm.
upshots
spectacle
results
velocity
temperature
profiles
behalf
various
parameters
affecting
flow.
increasing
values
magnetic
parameter
ratio
significantly
impacts
profile
assisting
flows.
escalates
higher
parameter,
Eckert
number
Biot
number.
Moreover,
analysis
delivers
valued
insights
into
friction
drag
considered
model.
gained
can
support
in
applications
involving
systems.