Heliyon,
Journal Year:
2024,
Volume and Issue:
10(19), P. e38303 - e38303
Published: Sept. 23, 2024
This
study
presents
a
numerical
analysis
of
magnetohydrodynamic
(MHD)
mixed
convection
in
semicircular
enclosure
containing
rotating
inner
cylinder
and
filled
with
nanofluids
hybrid
nanofluids.
The
investigation
explores
the
effects
Al
Numerical Heat Transfer Part B Fundamentals,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 27
Published: April 22, 2024
This
numerical
study
investigates
mixed
convection
heat
transfer
in
a
two-dimensional
irregularly-shaped
enclosure
with
nanofluid-saturated
porous
medium.
The
has
wavy
vertical
walls,
centered
triangular
block,
and
lid
split
into
two
regions
moving
opposite
directions.
Transport
equations
are
solved
using
the
finite
element
method
under
varied
Darcy
(10−5
to
10−1),
Reynolds
(50
200),
Richardson
(0.1
10),
amplitude
(0
0.2),
nanoparticle
volume
fraction
0.1)
numbers.
Results
demonstrate
combined
effects
of
forced
from
motion
natural
temperature
differences
significantly
enhance
transfer.
walls
induce
secondary
flows
periodic
disruption
thermal
boundary
layers.
Increasing
number
enables
deeper
penetration
block.
Copper
nanoparticles
incrementally
improve
conductive
more
prominent
at
higher
numbers
as
buoyancy
forces
influence
convection.
provides
novel
insights
synergistically
utilizing
geometries,
nanofluids,
media,
active
pumping
for
optimizing
irregular
enclosures
electronics
cooling
management.
Scientific Reports,
Journal Year:
2024,
Volume and Issue:
14(1)
Published: Jan. 23, 2024
The
space-time
fractional
Fokas-Lenells
(STFFL)
equation
serves
as
a
fundamental
mathematical
model
employed
in
telecommunications
and
transmission
technology,
elucidating
the
intricate
dynamics
of
nonlinear
pulse
propagation
optical
fibers.
This
study
employs
Sardar
sub-equation
(SSE)
approach
within
STFFL
framework
to
explore
uncharted
territories,
uncovering
myriad
soliton
solutions
(OSSs)
conducting
thorough
analysis
their
bifurcations.
discovered
OSSs
encompass
diverse
array,
including
bright-dark,
periodic,
multiple
bright-dark
solitons,
various
other
types,
forming
captivating
spectrum.
These
reveal
an
interplay
among
complex
periodic
sequences,
rhythmic
breathers,
coexistence
alongside
intriguing
phenomena
like
kinks,
anti-kinks,
dark-bell
solitons.
exploration,
built
upon
meticulous
literature
review,
unveils
previously
undiscovered
wave
patterns
dynamic
equation,
significantly
expanding
theoretical
understanding
paving
way
for
innovative
applications.
Utilizing
2D,
contour,
3D
diagrams,
we
illustrate
influence
temporal
parameters
on
these
solutions.
Furthermore,
comprehensive
3D,
bifurcation
diagrams
scrutinize
effects
inherent
equation.
Employing
Hamiltonian
function
(HF)
enables
detailed
phase-plane
analysis,
complemented
by
simulations
conducted
using
Python
MAPLE
software.
practical
implications
OSS
extend
real-world
physical
events,
underlining
efficacy
applicability
SSE
scheme
solving
time-space
differential
equations
(TSNLFDEs).
Hence,
it
is
crucial
acknowledge
technique
direct,
efficient,
reliable
numerical
tool,
illuminating
precise
outcomes
comparisons.
Alexandria Engineering Journal,
Journal Year:
2024,
Volume and Issue:
102, P. 119 - 131
Published: June 5, 2024
This
research
work
aims
to
theoretically
examine
the
influence
of
various
factors
on
three-dimensional
nanofluid
flow.
The
study
includes
parameters
such
as
temperature
ratio
coefficient,
Prandtl
numbers,
Schmidt,
Soret,
Dufour,
Biot,
expansion
Power
index,
and
nanoparticle
volume
fraction
parameter,
well
effect
non-linear
thermal
radiation
magnetic
parameter
behavior
nanofluid.
These
characteristics
significantly
impact
flow
boundary
layer
in
presence
an
plate.
To
facilitate
investigation,
we
have
selected
nanofluids
that
contain
water-based
copper
aluminum
oxide
for
this
study.
We
developed
a
model
system
partial
differential
equations
(SYS-PDEs)
with
terms.
Based
similarity
equations,
SYS-PDEs
terms
has
been
transformed
into
ordinary
(SYS-ODEs)
whose
are
non-linear.
approximate
solve
obtained
SYS-ODEs,
utilized
modified
spectral
Chebyshev
polynomials'
first
derivative
pseudo-Galerkin
method.
Additionally,
conducted
error
analysis
discussion
ensure
credibility
our
results.
presented
graphical
form
provided
comments
each
figure
along
effects
studied.
Consequently,
concluded
power
low
is
essential
factor
affecting
flow's
behavior,
nanofluid's
velocity,
temperature,
concentration.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2024,
Volume and Issue:
104(9)
Published: July 17, 2024
Abstract
This
study
presents
a
comprehensive
investigation
into
the
dynamics
of
an
electrically
magneto‐hydrodynamic
(EMHD)
nano‐Carreau
fluid
under
nonlinear
mixed
convection.
We
develop
3D
steady‐state
framework
that
incorporates
various
influential
factors
such
as
nonuniform
heat
source‐sink
terms,
thermal
radiation,
Joule
heating,
and
chemical
reactions,
along
with
effects
Riga
stretched
surface.
Through
rigorous
analysis,
we
explore
impact
thermophoretic
Brownian
motions
on
flow
patterns
stagnation
point
velocities.
Our
encompasses
scenarios
involving
stretching
sheet,
EMHD
phenomena,
porous
media,
suction‐injection
processes,
diverse
slip
conditions
(momentum,
heat,
volume
fractions),
in
conjunction
reactions.
By
employing
symmetry
transformations,
transform
complex
partial
differential
equations
(PDEs)
more
manageable
ordinary
(ODEs),
facilitating
effective
numerical
solutions
using
Lobatto
IIIa
bvp4c
method
Matlab.
The
findings
are
presented
through
detailed
graphical
representations
comparative
tables.
Key
include
observation
elevated
Hartmann
numbers
contribute
to
reduced
velocity
yet
enhanced
temperature
profiles,
influenced
by
distribution,
viscous
dissipation.
Additionally,
concentration
profiles
exhibit
diminishing
trend
increased
Lewis
numbers,
specific
parameters.
Physics of Fluids,
Journal Year:
2024,
Volume and Issue:
36(7)
Published: July 1, 2024
This
study
introduces
a
novel
approach
by
combining
magnetohydrodynamic
flow
with
Joule
heating
effects
to
investigate
the
conjugate
mixed
convective
of
ferrofluid
in
non-homogenously
warmed
wavy-walled
squared-shaped
chamber
spinning
cylindrical
object
positioned
at
center
chamber.
The
current
seeks
maximize
heat
transmission
effectiveness
scrutinizing
optimum
system
attributes
and
conducting
entropy
production
analysis.
Numerical
solutions
are
achieved
employing
Galerkin
finite
element
weighted
residual
solve
two-dimensional
Navier–Stokes
energy
equations
representing
mathematical
model.
parametric
alterations
encompass
Grashof
(103
≤
Gr
106),
Reynolds
(31.62
Re
1000),
Hartmann
(5.623
Ha
31.623)
numbers,
volumetric
generation
coefficient
(0
Δ
10),
thermal
conductivity
ratio
(K
=
20.07,
95.14),
corrugation
frequency
(6.5
f
8.5),
dimensionless
amplitude
(0.02
A
0.04),
cylinder
diameter
(0.3
D
0.5).
assesses
characteristics
source
generated
within
computational
domain
while
considering
varying
amplitude,
diameter,
conductivity,
strength
magnetism,
generation.
findings
quantitatively
showcased
through
Nusselt
number
hot
wall,
mean
fluid
temperature,
overall
production,
performance
criterion
(TPC)
across
domain.
After
extensive
analysis,
it
is
evident
that
minimum
(=
0.3),
6.5),
0.02)
maximum
95.14)
ensure
optimal
performance.
Surprisingly,
incorporating
interior
diminishes
significantly
increasing
TPC.
Understanding
impacts
magnetic
field,
heating,
on
offers
key
perceptions
into
temperature
variation,
transport,
velocity
profile,
irreversible
loss
numerous
engineering
applications.
Advances in Mechanical Engineering,
Journal Year:
2024,
Volume and Issue:
16(3)
Published: March 1, 2024
This
study
seeks
to
examine
the
impact
of
convective
heat
transfer,
buoyancy
ratios,
hall
current
effect,
nonlinear
thermal
radiation,
Schmidt
number,
Prandtl
number
and
mass
flux
condition
on
temperature
profiles,
velocity
profiles
concentration
profiles.
The
research
explores
into
transfer
characteristics
a
stagnation
point
flow
free
triple
diffusion
with
considerations
for
boundary
constraints
radiation
over
mobile
vertical
plate.
To
elucidate
aims
methodology,
utilizes
similarity
transformation
convert
governing
partial
differential
equations
set
ordinary
equations.
Numerical
solutions
are
obtained
employing
fourth-order
Runge-Kutta
shooting
strategy.
findings,
showcased
through
graphical
representations,
unravel
intricate
interplay
parameters,
shedding
light
distribution,
temperature,
These
quantitative
results
not
only
enhance
our
scientific
understanding
fluid
dynamics
but
also
hold
practical
implications
across
diverse
sectors.
Notably,
acquired
insights
poised
benefit
fields
such
as
environmental
science
engineering,
where
optimizing
processes
is
paramount.
thus
contributes
valuable
perspectives
both
theoretical
framework
its
real-world
applications.
Scientific Reports,
Journal Year:
2024,
Volume and Issue:
14(1)
Published: May 14, 2024
The
integration
of
Artificial
Intelligence
(AI)
and
Machine
Learning
(ML)
techniques
into
computational
science
has
ushered
in
a
new
era
innovation
efficiency
various
fields,
with
particular
significance
fluid
dynamics
(CFD).
Several
methods
based
on
AI
have
been
standardized
many
fields
science,
including
This
study
aims
to
couple
CFD
artificial
neural
networks
(ANNs)
predict
the
forces
that
arise
when
flowing
interacts
obstacles
installed
flow
domain.
momentum
equation
elucidating
simulated
by
adopting
finite
element
method
(FEM)
for
range
rheological
kinematic
conditions.
Hydrodynamic
forces,
pressure
drop
between
back
front
obstacle,
surface
drag,
lift
variations,
are
measured
outer
cylinder
via
simulations.
data
subsequently
fed
Feed-Forward
Back
(FFB)
propagation
network
prediction
such
completely
unknown
data.
For
all
cases,
higher
predictivity
is
achieved
drag
coefficient
(CD)
(CL)
since
mean
square
error
(MSE)
within
±
2%
determination
(R)
approximately
99%
cases.
influence
pertinent
parameters
like
power
law
index
(n)
Reynolds
number
(Re)
velocity,
pressure,
coefficients
also
presented
limited
Moreover,
significant
reduction
computing
time
noticed
while
applying
hybrid
CFD-ANN
approach
as
compared
simulations
only.