ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2025,
Volume and Issue:
105(5)
Published: April 23, 2025
Abstract
Latterly,
energy
scarcity
is
assumed
to
be
a
major
issue
in
the
manufacturing
process
since
chunk
of
produced
lost
this
transit.
As
heat
transmission
an
irreversible
process,
it
necessary
limit
entropy
during
such
flows.
Consequently,
rationale
paper
investigate
generation
on
transient
viscous
fluid
flow
near
stagnation
point
past
rotating
sphere
immersed
variable
porous
media.
For
enhanced
realism,
model
incorporates
temperature‐dependent
thermal
conductivity,
viscosity,
and
mass
diffusion
overcoming
limitations
constant
values
often
used
simpler
models.
The
novelty
envisioned
bolstered
by
integrating
solutal
stratifications,
combined
with
irreversibility
analysis.
available
literature
possesses
bulk
articles
focusing
diffusivity.
However,
there
studies
that
discuss
traits
these
characteristics
are
more
real‐world
modeling.
exclusive
feature
study
lies
investigating
over
medium
diffusion.
numerical
outcome,
bvp4c
implemented.
behavior
dimensionless
parameters
corresponding
profiles
illustrated
through
graphs
tables.
It
observed
increasing
porosity
parameter
primary
velocity
profile
escalates.
Growing
viscosity
portray
for
depict
decline
secondary
profile.
Temperature
decays
augmented
stratification
parameter.
Surface
drag
force
elevates
amplifying
rotation
streamwise
rotational
direction.
Enhancement
conductivity
optimizes
rate
transmission.
By
varying
Brinkman
number
optimizes.
Modern Physics Letters B,
Journal Year:
2024,
Volume and Issue:
38(33)
Published: March 27, 2024
This
paper
reports
the
mass
and
energy
transmission
characteristics
of
an
electrically
conducting
mixed
convective
nanofluid
flow
past
a
stretching
Riga
plate.
An
additional
effect
viscous
dissipation,
Arrhenius
activation
heat
source
is
also
studied.
The
transmissions
are
evaluated
by
zero-mass
flux
nanoparticle
boundary
conditions.
Buongiorno’s
relations
proposed
for
Brownian
motion
thermophoretic
diffusion.
similarity
substitutions
employed
to
derive
non-dimensional
set
modeled
equations.
obtained
equations
numerically
processed
via
parametric
continuation
method
(PCM).
Several
factors
affecting
velocity,
energy,
distributions
graphically
discussed.
It
has
been
perceived
that
fluid
velocity
field
declines
with
influence
power
index
(m),
while
improves
upshot
modified
Hartmann
number
(Q).
Schmidt
chemical
reaction
diminishes
concentration
profile
[Formula:
see
text].
Furthermore,
curve
enhances
thermophoresis
factor,
Biot
Eckert
number.
International Journal of Modern Physics B,
Journal Year:
2024,
Volume and Issue:
38(31)
Published: Jan. 22, 2024
This
study
intends
to
examine
the
consequences
of
externally
applied
magnetic
field
and
modified
Hall
effect
on
nanofluid
flow
across
two
symmetrically
spinning
extending
discs,
where
continuously
upper
disc
moves
upward
downward.
The
lower
is
vertically
fixed.
discs
rotate
move
vertically,
generating
a
3D
flow.
mass
density,
heat
transfer
motion
have
been
evaluated
modeled
in
form
system
partial
differential
equations
(PDEs)
with
an
additional
influence
activation
energy,
source
chemical
reaction.
PDEs
ordinary
set
by
employing
resemblance
substitution
method.
obtained
ODEs
further
solved
through
numerical
approach
(bvp4c).
results
are
compared
bvp4c
package
published
work
for
validity
purposes.
In
case
downward
displacement
disc,
characteristics
significant
impact
velocity
curve.
energy
curve
elevates
movement
while
it
reduces
fluctuation.
Furthermore,
transmission
rate
enhances
hall
current,
diminishing
reaction
rate.
Engineering Applications of Computational Fluid Mechanics,
Journal Year:
2024,
Volume and Issue:
18(1)
Published: Feb. 1, 2024
In
this
study,
the
Yamada-Ota
model
is
used
to
look
for
an
analysis
of
irreversibility
when
there
nonsymmetric
magnetohydrodynamic
flow
inside
a
nanoliquid
made
carbon
nanotubes
(CNTs)
across
unsteady
three-dimensional
stretching
surface.
investigation,
both
single-
and
multi-walled
(SWCNTs
MWCNTs,
respectively)
are
considered,
as
they
suspended
in
water
solution.
Anisotropic
slip
conditions,
nonlinear
thermal
radiation,
induced
magnetic
field
all
accounted
model.
The
PDEs
changed
into
group
Equations
using
non-similarity
transformations
then
solved
by
BVP4c
program
MATLAB.
effects
important
parameters
like
strength,
unsteadiness,
nanoparticle
volume
fraction,
conditions
radiation
also
looked
at.
Increasing
percentage
results
greater
velocity
SWCNTs
than
MWCNTs.
profile
entropy
production
exhibits
upward
trend
relation
Φ,
M
,
Br,
Rd
θw
however,
it
has
downward
parameter
α.
Bejan
number
shows
concentration
α,
while
showing
decline
cases
θw.
Journal of Computational Design and Engineering,
Journal Year:
2024,
Volume and Issue:
11(2), P. 146 - 160
Published: March 6, 2024
Abstract
The
industrial
sector
has
shown
a
growing
interest
in
hybrid
nanofluids
affected
by
magnetohydrodynamics
(MHD)
owing
to
their
wide
range
of
applications,
including
photovoltaic
water
heaters
and
scraped
surface
heat
exchangers.
main
purpose
this
study
is
look
at
how
entropy
created
nanofluid
${\rm{A{{l}_2}{{O}_3}{-}Cu}}$
mixed
with
${\rm{{{H}_2}O}}$
non-axisymmetric
stagnation
point
flow
Joule
heating
viscous
dissipation.
By
using
appropriate
non-similarity
transformations,
the
partial
differential
equations
(PDEs)
governing
boundary
layer
region
issue
are
transformed
into
set
non-linear
PDEs.
BVP4c
MATLAB
program,
which
uses
local
additional
truncation,
may
fix
problem.
velocity
profiles
both
directions
grow
when
values
${{\phi
}_2},\
M,\lambda
$,
A
parameters
increase.
temperature
profile
rises
as
$Ec$
lowers
}_2}$
M
obtained
numerical
findings
demonstrate
significant
impacts
on
transfer
rate
fluid
nanofluid.
When
concentration
nanoparticles
magnetic
parameter
heightened,
there
an
enhancement
seen
skin
friction
coefficient
decline
rate.
In
addition,
production
shows
increasing
tendency
function
M,$
$Br,$
while
demonstrating
decreasing
$\alpha
$.
Bejan
number
positive
correlation
$
but
negative
variables
$Br$.
Ain Shams Engineering Journal,
Journal Year:
2024,
Volume and Issue:
15(8), P. 102839 - 102839
Published: May 24, 2024
The
commercialization
of
nanotechnology
is
significant
in
the
areas
pharmaceutical
delivery,
supercapacitors,
catalysts,
microelectronics,
thermal
energy
plants,
automotive
cooling,
fuel
cell
membranes,
crack-resistant
paint,
and
water
purification.
Here
Darcy-Forchheimeir
hydromagnetic
flow
radiative
Williamson
trihybrid
MOS2+ZrO2+GO/Ethyleneglycol
nanofluid
subject
to
entropy
generation
investigated.
Molybdenum
disulfide
MOS2,
zirconium
dioxide
ZrO2,
graphene
oxide
GO
nanoparticles
base
fluid
(Ethylene
glycol)
are
incorporated.
Darcy-Forchhiemeir
porous
medium
dissipative
heat
transfer
attributes
considered.
Furthermore,
convective
boundary
condition
incorporated
for
analysis.
Thermal
radiation
employed
perform
a
study
phenomenon
while
keeping
mind
practical
applications.
governing
PDEs
converted
into
ODEs
by
appropriate
transformations.
Using
homotopy
analysis
method
(HAM),
resulting
non-dimensional
systems
addressed
analytically.
implications
various
factors
on
transmission
rate
friction
factor
tri-hybrid
nanofluid,
hybrid
MOS2+ZrO2/Ethyleneglycol
nanomaterial,
nanoliquid
MOS2/Ethyleneglycol
investigated
through
tables.
Further,
velocity,
temperature,
rate,
Bejan
number
all
three
nano-liquid
scenarios
response
influential
parameters
(Weissenberg
We,
magnetic
parameter
M,
Rd,
Brinkman
Br,
suction
S,
Fr,
Biot
Bi)
graphically
evaluated.
velocity
declines
as
grows.
A
greater
Weissenberg
results
an
increased
number.
Temperature
increase
with
higher
value.
enhanced
drag
force.
decreases
increasing
effect.
In
conclusion,
current
outcome
excellent
invention
that
came
before
it.
Case Studies in Thermal Engineering,
Journal Year:
2023,
Volume and Issue:
51, P. 103552 - 103552
Published: Oct. 4, 2023
The
simultaneous
convection-radiation
heat
transfer
of
a
partially
wetted
dovetail
extended
surface
is
investigated
in
this
study.
Also,
the
temperature
variance
behavior
(DES)
estimated
through
thermal
models
for
wet
and
dry
conditions
using
neural
network
with
Levenberg-Marquardt
scheme
(NNLMS).
corresponding
governing
energy
equations
fin
are
presented
as
set
ordinary
differential
(ODE),
which
reduced
to
non-dimensional
form
dimensionless
terms.
Further,
resulting
coupled
conductive,
convective,
radiative
ODEs
numerically
solved
utilizing
Runge-Kutta-Fehlberg
fourth-fifth
order
(RKF-45)
scheme.
Using
graphical
illustrations,
resultant
solutions
physically
determined
by
considering
effects
various
nondimensional
variables
on
behavior.
From
outcomes,
it
established
that
conductivity
parameter
enhances
distribution
fin,
an
upsurge
convection-conduction
variable,
ratio
parameter,
radiation–conduction,
diminishes
profile
considered
surface.
modelled
problem's
NNLMS
efficacy
demonstrated
achieving
best
convergence
unique
assessed
quantified
results.
outcomes
indicate
strategy
successfully
resolves
problem.
Modern Physics Letters B,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Sept. 24, 2024
Due
to
their
widespread
use
in
engineering,
hybrid
nanofluids
have
been
the
primary
focus
of
mathematical
and
physical
research.
Only
improvement
nanofluids’
variable
heat
conductivity
viscosity
has
considered
so
far.
Hybrid
nanofluid
flow
across
an
inclined
cylinder
many
potential
uses,
including
transfer
cooling
electrical
devices,
energy
storage,
refrigerants,
automobile
industry.
Examining
effects
buoyant
force,
viscosity,
thermal
conductivity,
mass
suction,
convective
conditions,
a
magnetic
field
on
stagnation
point
Al
2
O
3
–Cu/H
is
our
objective
this
work.
In
order
find
solutions
boundary-condition
flow-describing
partial
differential
equations,
we
turn
them
into
ordinary
equations
using
similarity
transformations.
We
achieve
by
employing
numerical
strategy
known
as
fourth-order
Runge–Kutta
technique,
which
incorporates
shooting
techniques.
A
graphical
representation
findings
emphasizes
influence
parameters
dynamics.
addition,
address
drag
force
rate
various
elements,
such
Biot
parameter,
variable,
variable.
The
mixed
convection
cause
velocity
profile
rise
while
temperature
falls.
research’s
results
elucidate
behind
contour
nanofluids,
seen
when
there
increment
radiation
number.
exhibits
significant
increase
36.87%
aiding
scenario
2.0
suction
applied
conjunction
with
0.01
nanofluid,
compared
conventional
fluid.
opposing
flow,
36.96%
that
Heat
increases
43.00%
Rd
from
0.1
0.5
for
both
assisting
flow.