Numerical Heat Transfer Part B Fundamentals,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 24
Published: June 18, 2024
Present
examination
explores
the
heat
and
mass
transfer
phenomena
for
magnetohydrodynamics
(MHD)
peristaltic
transport
of
diethylene
glycol
(DEG)-based
Cross
nanofluid
through
an
asymmetric
curved
channel.
The
thermal
characteristics
are
established
assessment
Buongiorno
nano-liquid
model,
which
allows
to
identify
intriguing
features
thermophoretic
Brownian
diffusion
coefficients.
Further,
velocity
slip
conditions
enforced
on
walls.
influences
radiation,
radius-dependent
magnetic
field
viscous
dissipation
also
taken
into
consideration.
governing
equations
simplified
by
employing
lubrication
theory
("biological
estimate
creeping
transportation
phenomenon"),
resulting
system
is
tackled
numerically.
Impacts
different
flow
parameters
nanofluid's
velocity,
nanomaterials
concentration
profile,
transfer,
streamlines,
temperature
nanofluid,
stresses
at
wall
analyzed
via
graphs
tables.
findings
this
investigation
report
that
enhances
against
Hartmann
Brinkman
numbers,
whereas
it
declines
radiation
parameter.
distribution
profile
decreases
motion
while
increases
thermophoresis
a
development
in
stresses,
rates
boundary
seen
better
values
number.
Additionally,
higher
parameter
show
increasing
behavior
near
walls
effects
MHD
with
magnesium
aluminate
nanoparticles
suspended
DEG
base
fluid-based
conduit
have
many
uses
industry,
organic
compounds,
biomedical
engineering,
commercial
productions,
such
as
brake
fluid,
tobacco,
polyester
resins,
certain
dyes,
printing
ink,
polyurethanes,
glue,
antifreeze,
nitrocellulose,
oils,
cigarettes,
plasticizers,
so
forth.
DEG-based
nanofluids
used
human
medications,
including
acetaminophen
sulfanilamide,
can
result
incidents
poisoning,
some
been
fatal,
either
intentionally
or
unintentionally.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2025,
Volume and Issue:
105(1)
Published: Jan. 1, 2025
Abstract
The
present
study
examines
the
thermal
characteristics
and
stresses
at
boundary
for
peristaltic
motion
of
Reiner‐Philippoff
fluid
through
a
symmetric
channel.
(R‐P)
model
is
widely
recognized
its
ability
to
provide
comprehensive
representation
unique
properties
exhibited
by
non‐Newtonian
fluids.
One
notable
aspect
that
initiates
this
nonlinear
relationship
between
velocity
gradient
shear
stress.
Moreover,
captures
implicit
connection
deformation
rate
Additionally,
R‐P
exhibits
distinct
characteristics,
acting
as
dilatant
,
exhibiting
pseudoplastic
behavior
behaving
Newtonian
when
.
Governing
equations
are
mathematically
modeled
under
consideration
mixed
convection,
viscous
dissipation,
magnetic
field,
Joule
heating
effects.
Long
wavelength
small
Reynolds
number
approximations
used
simplify
system.
To
compute
numerical
solution
simplified
system,
BVP4c
technique
employed
via
MATLAB.
influences
key
parameters
on
flow
physically
visualized
graphs.
A
detailed
analysis
heat
transfer
dilatant,
pseudoplastic,
fluids
also
provided.
assessments
wall
presented
tables.
Outcomes
reveal
temperature
profile
decreases
due
parameter
Bingham
number.
findings
case
indicate
both
enhanced
Grashof
Hartmann
numbers
lead
an
increase
in
profile.
Tabular
results
improved
developing
values
Brinkman
numbers,
while
exhibit
opposite
behavior.
decrease
with
greater
Furthermore,
more
effective
improving
reducing
compared
Physics of Fluids,
Journal Year:
2025,
Volume and Issue:
37(2)
Published: Feb. 1, 2025
This
study
investigates
the
numerical
analysis
of
curvature-dependent
symmetric
channel
walls
filled
with
porous
media,
focusing
on
various
flow
characteristics
using
Artificial
Neural
Networks
optimized
Levenberg–Marquardt
Backpropagation
Scheme
(ANNs-BLMS).
The
explores
Electrically
Conducting
Peristaltic
Propulsion
Carreau–Yasuda
Ternary
Hybrid
Nanofluids
(ECPPCY-THNFs)
propagating
through
sinusoidal
wave
trains
within
a
curved
conduit.
To
streamline
analysis,
governing
equations
have
been
simplified
under
specific
assumptions
lubrication
theory.
are
solved
Adam
and
three-stage
Lobatto
IIIa
formula
techniques
to
generate
dataset
spanning
walls,
covering
four
cases
nine
scenarios
ECPPCY-THNFs.
encompasses
ECPPCY-THNFs,
step
size
0.02.
As
result,
domain
is
divided
into
131
grid
points
for
velocity
temperature
profiles
71
rates
heat
transfer
analysis.
three
parts:
10%
training,
testing,
80%
validation.
apply
proposed
methodology,
constructed
by
varying
Hartmann
number,
rate,
Darcy
curvature
parameter,
radiation
parameter.
Subsequently,
an
artificial
intelligence-based
algorithm
employed
derive
solution
expressions
fields
analyze
dataset.
results
presented
detailed
tabular
graphical
illustrations.
Heat
performed
model,
findings
validated
multiple
techniques,
including
error
histograms,
regression
plots,
mean
square
(MSE),
time
series
autocorrelation,
state
transition.
A
comparative
between
two
methods
Intelligence
(AI)-generated
predictions
also
undertaken.
obtained
AI-based
ANN-BLMS
framework
confirm
reliability
accuracy
methodology
in
effectively
solving
demonstrate
that
parameter
has
considerable
effect
mechanical
thermal
aspects
flow,
therefore,
it
must
be
incorporated
modeling
flows
channels.
Additionally,
rate
7.5
critical
value,
representing
minimum
required
sustain
fluid
channel.
When
below
this
increase
decrease
profile.
However,
when
exceeds
profile
shows
opposite
trend.
Furthermore,
ternary
hybrid
nanofluids
show
concave-up
shapes
(Θ)
values
greater
than
concave-down
less
7.5.
highest
lowest
velocities
occur
near
center
Θ>7.5
Θ<7.5,
respectively.
Moreover,
coefficient
determination
values,
used
as
performance
indicators,
found
unity
(1.000)
ANN
model.
MSE
histogram
2.8467
×
10−11
−3.05
10−7,
Modern Physics Letters B,
Journal Year:
2025,
Volume and Issue:
unknown
Published: April 14, 2025
A
major
challenge
in
modern
industry
is
the
need
for
efficient
heat
transfer
fluids,
as
conventional
fluids
often
do
not
provide
necessary
efficiency
heating
and
cooling
processes.
Nanofluids,
seen
future
of
are
developed
by
dispersing
nanoparticles
into
base
fluids.
Owing
to
their
unique
dynamic
thermophysical
properties,
these
innovative
nanofluids
have
a
broad
spectrum
applications
nanotechnology
advanced
systems.
Based
on
nanofluids,
flow
composed
graphene
suspended
lubricant
oil
with
studied
here.
Flow
induced
curved
stretching
sheet.
The
surface
sheet
considered
be
polished
uniformly,
which
hence
facilitates
velocity
slip.
novelty
this
study
lies
utilizing
rheological
properties
dispersed
oil-based
fluid,
empirically
investigated
Bakak
et
al.
(2021).
Their
findings
suggest
that
nanofluid
exhibits
non-Newtonian
behavior,
experimental
data
closely
aligning
Carreau–Yasuda
model.
radially
varying
magnetic
field
influences
generating
Lorentz
force
Ohmic
heating.
In
view
experimentally
reported
results,
depicted
using
Furthermore,
configuration
influenced
thermal
radiation,
source,
viscous
dissipation,
convective
at
boundary.
Irreversibility
analysis
carried
out
propose
ways
energy
optimization.
Boundary
layer
approximations
utilized
model
partial
differential
equations
(PDEs)
governing
system.
By
applying
non-similarity
transformation,
original
PDEs
converted
dimensionless
nonlinear
PDEs.
local
approach,
truncated
second
order,
reducing
them
ordinary
(ODEs)
can
more
easily
solved.
resulting
system
tackled
through
BVP4c
algorithm
MATLAB.
Influences
pertinent
parameters
profile,
drag
force,
isotherms,
nanofluid’s
temperature,
streamlines,
entropy
generation
number,
rates,
Bejan
number
analyzed
graphs
tables.
Findings
indicate
temperature
distribution
improves
higher
values
Biot
Weissenberg
number.
Additionally,
decreases
increasing
Also,
it
noted
velocity.
demonstrates
direct
relationship
profile.
magnitude
coefficient
curvature
parameter
volume
fraction
nanoparticles.
Heat
rises
elevated
parameter,
Eckert
source
radiation
but
an
increase
Physics of Fluids,
Journal Year:
2024,
Volume and Issue:
36(9)
Published: Sept. 1, 2024
This
research
explores
the
complex
interaction
of
incompressible
cross-fluid
flow,
heat,
and
mass
transfer
characteristics
on
a
porous
rotating
disk.
The
study
employs
sophisticated
mathematical
methods,
including
similarity
transformations,
to
convert
governing
partial
differential
equations
into
nonlinear
ordinary
equations.
These
are
then
solved
using
numerical
method,
fourth-class
boundary
value
problem.
We
employ
an
Artificial
Neural
Networks
algorithm
with
backpropagation
Levenberg–Marquardt
Scheme
analyze
heat
mechanism
quantitatively.
Our
results
provide
accurate
values
for
Nusselt
number,
Sherwood
skin
friction
coefficient.
examination
addresses
this
system's
fluid
mechanics
transport
phenomena
potential
applications
in
engineering
industrial
processes.