ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Год журнала:
2024,
Номер
unknown
Опубликована: Дек. 17, 2024
Abstract
This
study
investigates
strain
rates
in
internally
pressurized
rotating
cylinders
with
varying
density,
using
Norton's
law
to
analyze
the
effects
of
anisotropy
and
creep
exponent
n
.
The
research
is
significant
for
optimizing
design
durability
such
engineering
applications.
A
detailed
analysis
revealed
distinct
rate
patterns
among
anisotropic
materials
Types
I
II
exhibited
lower
circumferential
compared
isotropic
Type
III
materials,
while
showed
reduced
axial
relative
materials.
These
findings
suggest
that
offer
superior
stress‐related
performance,
enhancing
under
pressure
rotation.
study's
novelty
lies
its
comprehensive
examination
anisotropy's
influence
on
rates,
extending
beyond
prior
work
by
demonstrating
how
specific
outperform
ones
reducing
deformation
improving
structural
resilience.
Engineering Reports,
Год журнала:
2025,
Номер
7(1)
Опубликована: Янв. 1, 2025
ABSTRACT
The
study
aims
to
investigate
the
irreversibilities
of
a
Carreau
nanofluid
flow
over,
unsteady
stretching
cylindrical
sheet
exposed
radiation,
non‐Darcy
porous
medium,
viscous
dissipation,
joule
heating,
etc.
It
provides
how
energy
produced
in
is
used
efficiently
by
minimizing
irreversibilities.
governing
partial
differential
equations
are
transformed
into
first‐order
initial
value
problems
similarity
transformation
and
linearization.
shooting
technique
an
open‐source
Python
programming
package
solve
using
Runge–Kutta
sixth‐order,
numerical
approach
validated
published
articles.
Basic
profiles
and,
most
importantly,
entropy
generation
examined
graphs
relation
relevant
parameters.
Skin
friction
behavior
heat
mass
fluxes
response
various
parameters
also
examined.
results
demonstrated
that
creation
initiated
increase
magnetic
curvature
parameters,
as
well
Eckert,
Brinkman,
porosity
However,
when
Forchheimer
number
increases,
decreases.
An
Eckert
number,
Prandtl
radiation
parameter
motivates
irreversibility
due
transfer,
whereas
Weissenberg
rises,
transfer
falls
around
wall.
According
values
table,
growth
thermal
Biot
parameter,
initiate
magnitude
rate
transfers.
In
contrast,
rates
fell
rose.
Analysis
conversions
system
efficiency
can
be
done
this
study,
particularly
engines,
refrigeration
systems,
other
thermodynamic
processes.
Engineering Reports,
Год журнала:
2025,
Номер
7(3)
Опубликована: Март 1, 2025
ABSTRACT
The
thermal
efficiency
of
a
flat‐plate
solar
collector
is
theoretically
analyzed
in
this
study.
For
purpose,
novel
computational
technique
called
the
Akbari‐Ganji
method
(AGM)
applied.
solution
function
derived
using
examined
for
three
different
cases,
including
four‐term,
six‐term,
and
eight‐term
approximations.
To
validate
proposed
method,
obtained
results
are
compared
with
those
from
published
work,
showing
very
good
agreement.
comprehensively
assessed
under
influence
length,
effectiveness
coefficient,
heat
loss
coefficient.
reveal
that
an
increase
coefficient
enhances
collector's
efficiency.
Proceedings of the Institution of Mechanical Engineers Part N Journal of Nanomaterials Nanoengineering and Nanosystems,
Год журнала:
2025,
Номер
unknown
Опубликована: Апрель 12, 2025
This
paper
explores
the
three-dimensional
steady
non-Newtonian
nanofluid
flow
due
to
a
rotating
disk
by
using
Bingham
fluid
model.
Moreover,
we
have
extended
our
analysis
taking
consequence
of
thermal
and
solutal
aspects
heat
generation
activation
energy.
The
Buongiorno’s
model
is
considered
investigate
improvement
occurs
in
conductivity
thermophoresis
Brownian
motion
nanoparticles
base
fluid.
Applying
significance
while
energy
having
several
industries
application,
including
enhancing
performance
cooling
technologies,
industrial
processes,
biomedical
devices,
systems
are
few
examples.
Research
on
these
coupled
effects
has
potential
make
significant
progress
domains
that
depend
interaction
transport,
dynamics,
chemical
reactions.
problem
modeled
utilizing
equation
continuity,
Cauchy
momentum
equation,
law
conservation
Within
range
high
Reynolds
number,
boundary-layer
measured
similarity
solution.
forming
partial
differential
equations
altered
into
ordinary
ones
via
suitable
transformations.
solutions
(numerical
graphical)
attained
solving
emerging
bvp4c
method
MATLAB
software.
results
been
argued
displayed
through
graphs
order
examine
how
velocity,
temperature
concentration
distribution
affected
dimensionless
parameters.
radial
velocity
decreases
with
raising
magnitude
number
whereas
increment
happens
tangential
number.
axial
profile
turn-up
growing
implying
quantity
drawn
from
surroundings
decreased.
generation/absorption
constraint,
Damkohler
gradient
turn-down
difference
parameter
novelty
relays
investigation
enhancement
happen
additions
which
flowing
disk.
ABSTRACT
An
incompressible
steady‐state
flow
of
viscous
fluid
subjected
to
a
variable
thickness
rotating
surface
is
examined.
The
laminar
stream
also
affected
by
the
disk
stretching.
A
horizontal
magnetic
field
applied
along
stabilize
dynamics
depending
on
its
orientation
and
strength.
implication
effective
in
regulating
thermal
energy
high‐temperature
environments
such
as
turbines
nuclear
reactors.
features
are
characterized
radiation
melting
heating.
phenomenon
useful
phase‐change
materials
for
efficient
storage
release
like
polymer
molding
or
metal
casting.
Similarity
transformations
that
account
utilized
dimensionalize
equations
obtain
self‐similar
solution.
numerical
scheme
Runge‐Kutta‐Fehlberg
(RKF‐45)
built‐in
package
used
solution
normalized
model.
salient
nature
physical
parameters
illustrated
momentum
fields.
data
skin‐friction
coefficient
local
Nusselt
number
at
stretchable
calculated.
graphical
results
indicate
temperature
profiles
strongly
influenced
under
consideration.
It
can
be
deduced
decreases
resistance
close
surface,
reducing
drag,
turn
increasing
velocity.
latent
absorbed
during
process
reduces
into
gradients
boundary
layer
flow.
stabilizing
effect
radial
direction
observed
angle
varying
from
0
30
degrees.
seen
dimensionless
radius
facilitates
transport
fluid,
thus
resulting
reduction
field.
International Journal of Numerical Methods for Heat & Fluid Flow,
Год журнала:
2025,
Номер
unknown
Опубликована: Фев. 7, 2025
Purpose
This
study
aims
to
develop
a
neurocomputational
approach
using
the
Levenberg–Marquardt
artificial
neural
network
(LM-ANN)
analyze
flow
and
heat
transfer
characteristics
in
mixed
convection
involving
radiative
magnetohydrodynamic
hybrid
nanofluids.
The
focus
is
on
influence
of
morphological
nanolayers
at
fluid–nanoparticle
interface,
which
significantly
impacts
coupled
mass
processes.
Design/methodology/approach
research
simplifies
complex
system
higher-order
nonlinear
partial
differential
equations
governing
between
orthogonal
coaxially
porous
disks
into
ordinary
via
similarity
transformations.
These
are
solved
shooting
method,
parametric
studies
conducted
observe
impact
varying
important
parameters.
resulting
data
sets
used
train,
validate
test
LM-ANN
model,
ensures
high
predictive
accuracy.
Machine
learning
curve-fitting
techniques
further
enhance
model’s
capability
generate
detailed
visualizations.
Findings
findings
this
indicate
that
increased
nanolayer
thickness
(0.4–1.6)
improves
thermal
performance,
while
changes
chemical
reaction
parameter
(0.2–1)
have
notable
effect
enhancing
Sherwood
number.
results
highlight
critical
role
optimizing
efficiency
MHD
Originality/value
provides
novel
framework
for
understanding
dynamics
nanofluids
by
incorporating
effects
interfacial
nanolayers,
an
aspect
often
overlooked
conventional
studies.
use
trained
computational
enables
high-fidelity
analysis,
offering
new
insights
enhancement
nanofluid
systems.
ABSTRACT
The
quality
of
germanium
crystals
grown
using
the
Czochralski
method
critically
depends
on
growth
conditions,
particularly
flow
rate
inert
gases.
Despite
its
importance,
impact
argon
gas
thermal
field,
melt
convection,
and
resultant
crystal
has
not
been
comprehensively
studied.
To
bridge
this
gap,
we
employed
computational
fluid
dynamics
finite
element
analysis
to
investigate
rates
ranging
from
1
30
L/min.
Our
results
reveal
that
increasing
improves
only
cooling
but
also
heightens
stress
by
approximately
15%
dislocation
density
25%,
with
significant
freezing
at
melt–crucible
interface
for
higher
rates.
These
findings
suggest
optimization
is
key
minimizing
defects
enhancing
quality.
This
study
provides
novel
insights
into
within
a
setup,
offering
practical
guidance
semiconductor
manufacturing.
Engineering Reports,
Год журнала:
2025,
Номер
7(3)
Опубликована: Март 1, 2025
ABSTRACT
The
Buckmaster
equation,
a
nonlinear
partial
differential
equation
(PDE)
central
to
modeling
the
dynamics
and
deformation
of
flat
fluid
plates,
presents
significant
analytical
computational
challenges
due
its
inherent
complexity.
Traditional
solution
approaches
predominantly
rely
on
numerical
methods,
which,
although
effective,
are
often
computationally
intensive
face
limitations
in
handling
nonlinearity.
In
this
study,
we
propose
apply
Elzaki
projected
transform
method
(EPDTM),
semi‐analytic
approach,
solve
equation.
EPDTM
combines
strengths
method,
offering
precise
efficient
framework
tackle
such
equations.
We
present
approximate
solutions
for
two
specific
cases
generalize
our
analysis
broader
form.
A
detailed
comparative
results
with
exact
solutions,
using
tables,
3D
plots,
error
graphs,
demonstrates
negligible
absolute
errors
achieved
by
method.
Convergence
plots
further
validate
rapid
alignment
showcasing
their
accuracy
reliability.
Compared
existing
significantly
reduces
demand
while
maintaining
high
precision,
even
when
findings
underscore
potential
as
robust
tool
solving
complex
PDEs
This
provides
an
effective
alternative
traditional
opens
new
opportunities
application
mathematical
scientific
domains.