Heat Transfer,
Journal Year:
2025,
Volume and Issue:
unknown
Published: April 11, 2025
ABSTRACT
Increasing
attention
is
being
paid
to
the
study
of
heat
transfer
properties
non‐Newtonian
fluids
as
a
result
their
growing
use
in
many
industrial
and
manufacturing
processes.
Micropolar
have
garnered
lot
interest
for
potential
uses
because
distinctive
microstructures.
Both
viscoelastic
microstructural
characteristics
fluid
make
it
mimic
several
polymers.
Motivated
by
magnetic
polymer
coating
dynamics
operations,
this
article,
thermoconvective
nonlinear,
steady‐state
boundary
layer
flow
an
incompressible
third‐grade
micropolar
from
isothermal
sphere
with
field
thermal
radiation
investigated
theoretically
numerically.
The
model
incorporates
microelement
gyratory
(rotating)
motions
accurately
simulates
complex
polymeric
suspensions.
An
accurate
implicit
finite‐difference
Keller‐Box
method
second
order
used
solve
numerically
modified
nondimensional
conservation
equations
under
physically
suitable
conditions.
Verification
code
conducted
using
previous
special
cases
literature.
impacts
parameters,
that
is,
parameter
(
ϕ
),
material
parameters
ε
1
,
2
Biot
number
γ
R
Prandtl
Pr
M
V
Eringen
vortex
viscosity
K
dimensionless
tangential
coordinate
ξ
)
on
linear
(translational)
velocity,
angular
temperature
distributions
are
computed
depicted
graphically.
Additionally,
selected
skin
friction,
wall
couple
stress
(wall
velocity
gradient),
Nusselt
rate)
also
examined.
As
increases,
accelerates
farther
away
surface
while
decelerating
close
it.
oscillatory
response
microrotation
(angular)
indicates
reverse
spin
microelements.
coupling
(i.e.,
ratio
Newtonian
dynamic
viscosity)
causes
accelerate
decreasing
closer
Skin
friction
both
increased,
local
depleted
higher
values
parameter.
With
elevation
(),
there
marked
increase
whereas
(sphere
gradient)
depleted.
There
significant
depletion
rate
(Nusselt
number)
increasing
first
exhibit
considerable
elevation.
reduced.
interaction
parameter,
significantly
damped,
enhanced
(further
surface)
elevated
substantially,
thickness
polymer.
current
simulations
relevant
high‐temperature
processing
electromagnetic
polymers
curved
bodies.
Case Studies in Thermal Engineering,
Journal Year:
2024,
Volume and Issue:
61, P. 104859 - 104859
Published: Aug. 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.
International Journal of Thermofluids,
Journal Year:
2024,
Volume and Issue:
21, P. 100576 - 100576
Published: Jan. 19, 2024
This
study
investigates
stream
function,
temperature
distribution,
and
concentration
distortion
of
porous
media
with
three
types
hollow.
The
key
factors
in
conductive
heat
mass
transfer
are
the
number
vanes
hollows
various
hollows,
including
semi-circle,
square,
triangle
vanes,
which
novelty
this
research.
Furthermore,
valuable
result
present
is
that
semi-circle
had
a
higher
than
square
vanes.
It
matter
to
analyze
phenomena
used
mutually
coupled
equations
FEM.
finite
element
approach
employed
compare
distribution
small
large
hollows.
Based
on
obtained
numerical
results,
most
effect
was
reduction
related
On
other
hand,
Nusselt
bottom
wall
influence
extremely,
results
depended
some
parameters
such
as
ε,
Diffusion,
Radiation,
Rayleigh
number.
Finally,
Stream
distortion,
octagon
analyzed
develop
knowledge
transfer.
Heliyon,
Journal Year:
2024,
Volume and Issue:
10(15), P. e34888 - e34888
Published: July 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,
Journal Year:
2024,
Volume and Issue:
36(11)
Published: Nov. 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.
South African Journal of Chemical Engineering,
Journal Year:
2024,
Volume and Issue:
50, P. 109 - 124
Published: July 27, 2024
In
the
present
research,
an
effort
has
been
made
to
analytically
solve
heat
and
mass
linear/
nonlinear
as
well
steady/
unsteady
equations
in
a
viscous
nanofluid
squeezed
between
parallel
sheets.
Using
Python
SymPy
library,
with
properties
sheets
analyzed
symbolically
flow,
heat,
transfer
effects
through
Homotopy
Perturbation
Method
Akbari-Ganji
approaches.
The
two
nanofluids
selected
conduct
this
study
are
Copper
Al2O3,
whose
sizes
29
nm
47
respectively.
provided
details
encompass
outcomes
of
active
variables
on
flow
coupled
mass.
methods
have
resulted
top-of-the-line
consequences
compared
analytical
numerical
This
research
highlights
faster
more
accurate
computation
analytic
section
study.
outcome
shows
that
increase
Prandtl
number
Eckert
will
Nusselt.
However,
skin
friction
increases
Schmidt
number.
Furthermore,
rise
parameters
related
chemical
reactions
leads
elevated
Sherwood
presented
here
provide
innovative
precise
insight,
comparison
available
literature
also
proves
there
is
well-agreed
calculation.
Microchips
engineering
medical-related
industries
would
enjoy
obtained
from
maximum
minimum
amounts
respect
occur
at
η=0
η=1.
Moreover,
error
equal
0.0001
0.00001,
concentration
η=1
order.
Finally,
0.000016
0.000002,
Proceedings of the Institution of Mechanical Engineers Part E Journal of Process Mechanical Engineering,
Journal Year:
2024,
Volume and Issue:
unknown
Published: April 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.