ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Sept. 19, 2024
Abstract
The
goal
of
this
research
is
to
compute
the
numerical
solution
thermally
stratified
kerosene
oil‐based
ternary
nanofluid
flow
with
metallic
nanoparticles
including
Nickel
(Ni),
Tantalum
(Ta),
and
Zinc
(Zn)
influenced
by
an
angled
magnetic
field
between
two
parallel
plates.
upper
plate
assumed
be
permeable
lower
along
horizontal
axis.
oxidation
resistance
great
thermal
chemical
stability
these
make
them
ideal
for
usage
in
high
temperature
applications.
This
study
also
finds
applications
processing,
microfluidic
devices,
targeted
drug
delivery.
In
energy
equation,
modified
Fourier
law
non‐uniform
heat
source‐sink
are
considered.
surface‐catalyzed
reactions
considered
variable
diffusion
coefficients.
addition,
irreversibility
analysis
performed.
model
supported
slip
stratification
conditions
at
surface.
Tiwari
Das
utilized
elucidate
characteristics
liquid
flow,
it
involves
applying
appropriate
transformations
transmute
into
ordinary
differential
equations.
These
equations
computed
via
bvp4c
scheme.
Graphs
generated
illustrate
impact
varied
quantities
on
profiles.
Additionally,
surface
drag
coefficient
transfer
rate
evaluated
summarized.
It
worth
mentioning
that
parameters
have
reduced
concentration
distributions
respectively.
entropy
generation
higher
near
impermeable
when
porosity
parameter
enhanced.
noticed
6%
volume
fraction
has
a
greater
transmission
than
3%
nanoparticles.
indicates
improves
rate.
Scientific Reports,
Journal Year:
2024,
Volume and Issue:
14(1)
Published: March 25, 2024
Abstract
Fins
are
widely
used
in
many
industrial
applications,
including
heat
exchangers.
They
benefit
from
a
relatively
economical
design
cost,
lightweight,
and
quite
miniature.
Thus,
this
study
investigates
the
influence
of
wavy
fin
structure
subjected
to
convective
effects
with
internal
generation.
The
thermal
distribution,
considered
steady
condition
one
dimension,
is
described
by
unique
implementation
physics-informed
neural
network
(PINN)
as
part
machine-learning
intelligent
strategies
for
analyzing
transfer
fin.
This
novel
research
explores
use
PINNs
examine
effect
nonlinearity
temperature
equation
boundary
conditions
altering
hyperparameters
architecture.
non-linear
ordinary
differential
(ODE)
involved
reduced
into
dimensionless
form
utilizing
non-dimensional
variables
simplify
problem.
Furthermore,
Runge–Kutta
Fehlberg’s
fourth–fifth
order
(RKF-45)
approach
implemented
evaluate
simplified
equations
numerically.
To
predict
fin's
properties,
an
advanced
model
created
without
using
traditional
data-driven
approach,
ability
solve
ODEs
explicitly
incorporating
mean
squared
error-based
loss
function.
obtained
results
divulge
that
increase
conductivity
variable
upsurges
distribution.
In
contrast,
decrease
profile
caused
due
augmentation
convective-conductive
values.
Applied Rheology,
Journal Year:
2024,
Volume and Issue:
34(1)
Published: Jan. 1, 2024
Abstract
Many
applications,
including
micro
air
vehicles,
automotive,
aerospace,
refrigeration,
mechanical–electromechanical
systems,
electronic
device
cooling,
and
heat
exchanger
can
be
used
to
determine
the
flow
in
microchannels.
Regarding
engineering
optimization
discusses
role
of
entropy
production
minimization.
Therefore,
this
work
explores
new
facets
fully
developed
Carreau
fluid
transport
an
inclined
microchannel
considering
exponential
space/temperature
dependence,
radiative
flux,
Joule
heating.
The
model’s
rheological
properties
are
taken
into
account.
Additionally,
influence
Hall
slip
velocity
convective
boundary
conditions
is
considered.
Using
appropriate
transformation
constraints,
governing
equations
transformed
a
system
ordinary
differential
equations,
which
then
numerically
solved
using
fourth-
fifth-order
Runge–Kutta–Fehlberg
method.
Graphs
illustrate
significant
discussion
physical
parameters
on
entropy,
Bejan
number,
thermal
field,
velocity.
Our
findings
established
that
there
dual
impact
generation
for
space/temperature-dependent,
radiation
parameter,
Weissenberg
parameter.
number
decreased
with
current
it
enhanced
dependent.
convection
constraint
maximizes
at
channel
walls.
results
compared
exact
solutions,
show
excellent
agreement.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2025,
Volume and Issue:
105(5)
Published: April 18, 2025
Abstract
This
study
explores
the
optimization
of
Casson
fluids,
focusing
on
role
ternary
hybrid
nanofluids
in
enhancing
thermal
efficiency
industrial
and
engineering
applications.
Specifically,
impact
thermophoretic
particles
chemical
reactions
bioconvective
nanofluid
flow
through
a
vertical
microchannel
embedded
with
porous
media
is
examined.
The
governing
equations
are
reduced
using
similarity
transformations,
resulting
nonlinear
solved
Runge–Kutta–Fehlberg
4th
5th
order
method.
findings
reveal
that
increasing
constraint
leads
to
decrease
nanoparticle
concentration,
highlighting
forces
particle
movement
deposition.
Additionally,
parameter
causes
reduction
velocity,
which
observed
affect
overall
fluid
dynamics
system.
presence
variable
conductivity
enhances
field,
suggesting
temperature
distribution
can
be
significantly
improved.
Moreover,
volume
fraction
distribution,
indicating
positive
correlation
between
concentration
efficiency.
On
other
hand,
results
mass
transfer
rate,
emphasizing
trade‐off
enhanced
performance
transport.
These
valuable
for
design
advanced
micro‐cooling
devices,
micro‐heat
exchangers,
micro‐pumps,
macro
mixing
technologies,
where
both
critical.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2025,
Volume and Issue:
105(5)
Published: April 25, 2025
Abstract
This
study
presents
a
novel
investigation
into
the
heat
and
mass
transfer
in
fully
developed
Carreau
fluid
flow
within
an
inclined
microchannel.
Unlike
traditional
analyses,
this
work
considers
combined
effects
of
Hall
current,
space/temperature‐dependent
properties,
binary
chemical
reactions,
radiative
flux,
offering
more
comprehensive
understanding
microchannel
transport.
To
strengthen
work,
velocity
slip
convective
boundary
conditions
are
incorporated.
By
applying
suitable
transformation
constraints,
governing
equations
converted
system
ordinary
differential
equations,
which
subsequently
solved
using
Runge–Kutta–Fehlberg
fourth‐
fifth‐order
method.
The
graphs
provide
detailed
analysis
impact
physical
parameters
on
concentration,
temperature,
velocity,
providing
new
insights
optimization
systems.
results
show
that
thermal
field
is
significantly
enhanced
with
increase
parameter,
leading
to
overall
improvement
system's
performance.
It
demonstrated
concentration
decreases
reaction
rate,
while
it
increases
activation
energy,
Additionally,
drag
force
presence
rate
higher
Biot
number.
High Temperature Materials and Processes,
Journal Year:
2024,
Volume and Issue:
43(1)
Published: Jan. 1, 2024
Abstract
This
article
mainly
scrutinizes
the
heat
transfer
and
flow
characteristics
of
a
mixed
convection
ternary
hybrid
nanofluid
in
porous
microchannel
considering
catalytic
chemical
reaction
nonuniform
absorption/generation.
Using
appropriate
similarity
transformations,
modeled
equations
are
converted
into
reduced
ones
then
solved
via
Runge–Kutta–Fehlberg
4th/5th
order
method.
To
strengthen
this
analysis,
mechanism
has
been
deployed.
The
effect
pertinent
physical
parameters
on
fluid
motion
thermal
field
is
displayed,
including
some
important
engineering
variables
like
Nusselt
number,
Sherwood
drag
force.
novel
outcomes
display
that
reduces
with
permeability
nanoparticle
volume
fraction.
temperature
improves
concentration
decreases
presence
both
homogeneous
heterogeneous
intensities.
rate
enhances
for
Eckert
similar
influence
mass
noticed
parameters.
Further,
force
declines
Grashof
number.
show
that,
all
cases,
shows
greater
impact
than
nanofluid.
attained
findings
represent
applications
era
cooling
heating
systems,
engineering,
energy
production.