ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Год журнала:
2024,
Номер
unknown
Опубликована: Сен. 26, 2024
Abstract
The
novelty
of
this
study
is
to
develop
the
oscillation,
amplitude
and
periodical
behavior
thermal
concentration
boundary
layers
transient
Darcian
nanofluid
flow
over
stationary
circular
cylinder.
For
improvement
cutting
forces,
lubrication
cooling
in
machining
operations,
workpiece
temperature
tool
durability,
nanofluids
have
significant
role
with
effects
thermophoretic
nanoparticles
rate
reactions.
aim
current
work
deduce
oscillations,
amplitude,
frequency
analysis
mass
heat
transmission
motion
around
porous
stretchable
cylinder
radiation
generation
effects.
physical
thermo
parameters,
governing
mathematical
equations
are
transformed
into
convenient
equations.
smooth
similar
programing
algorithm
developed
FORTRAN
language
(Lahey‐95)
by
using
primitive
oscillatory
stokes
transformations.
steady
oscillating
model
solved
numerically
Gaussian
elimination
implicit
finite
difference
techniques.
outcomes
velocity,
temperature,
distributions
plotted
for
various
parameters
within
defined
values.
range
such
as
,
used.
results
again
used
display
skin
friction,
heating
rate,
transport
positions
stretching
increasing
velocity
slip
distribution
grows
well
diffusion‐convection
parameter
increases
at
both
angles.
significantly
convective
increases.
impact
thermophoresis
reactions
enhances
oscillations
amplitudes
effect
decreases.
It
very
important
lubrications,
drilling,
rotating,
milling,
tools
machines.
The
current
research
is
based
on
the
impact
of
thermal
and
solutal
slip
in
boundary
layer
nanofluid
flow
through
a
moving
accelerating
wedge.
present
investigation
considered
with
influence
Brownian
motion
thermophoresis.
Thermal
insulation,
geothermal
engineering,
crude
oil
extraction,
heat
exchangers
are
very
important
applications
movement
over
wedge
surface
concentration
slip.
suggested
mathematical
analysis
expressed
terms
partial
differential
equations
(PDEs).
These
PDEs
transformed
into
ordinary
via
similarity
transformation.
Keller
Box
technique
used
to
integrate
resultant
non-similar
equations.
set
discretized
first
order
formed
help
central
difference
Newton–Raphson
technique.
graphical
numerical
results
extracted
MATLAB.
Prandtl
factor
(Pr),
constant
(λ),
(S2),
parameter
(S2)
interpreted
visually
numerically.
Graphical
representations
velocity,
thermal,
mass
profiles
analyzed
depth.
solution
for
skin
friction
coefficient,
transport
rate,
rate
calculated.
velocity
function
increases
as
Pr
increases.
temperature
enhanced
lower
factor.
maximum
behavior
fluid
deduced
each
value
thermal-slip
concentration-slip
factors.
For
high
factors,
Nusselt
number
significantly.
The
importance
of
this
investigation
is
to
examine
the
heat
and
mass
transportation
magneto
nanofluid
movement
along
a
heated
sheet
with
exponential
temperature-dependent
density,
entropy
optimization,
thermal
buoyancy,
activation
energy,
chemical
reaction
aspects.
influence
these
factors
in
cutting
tools
by
means
machining
lubrication
significant
process
zone,
chip
cleaning,
lubricating,
cooling
productivity
milling.
corresponding
energy
are
essential
understand
behavior
nanofluid.
appropriate
transformations
used
solve
nonlinear
partial
differential
equations
within
framework
ordinary
using
stream
functions
similarity
variables.
Keller
box
method
employed
efficiently
computationally
under
Newton–Raphson
approach.
Through
tables
figures,
fluid
velocity,
temperature
distribution,
concentration
consequences
sketched
various
controlling
parameters.
It
seen
that
function
increases
noticeable
amplitude
as
Eckert
factor,
variable
chemical-reaction,
increase.
found
enhancement
deduced
for
maximum
Brownian
motion
thermophoresis.
This
work
important
applications
such
fluids,
drilling,
brake
oil,
engine
minimum
quantity
lubrication,
enhanced
oil
recovery,
controlled
friction
between
tool-chip
tool-work
during
operations.
ABSTRACT
The
present
article
introduces
a
novel
approach
to
evaluate
the
effects
of
Soret
and
Dufour
on
viscous
dissipating
hydromagnetic
flow
over
vertically
tilted
porous
oscillating
plate,
considering
chemical
reaction,
heat
sources,
thermal
radiation.
study
uniquely
combines
past
wavering
with
varying
magnetic
field
inclinations,
interplay
dissipation
effects.
model's
nonlinear
managerial
dimensional
PDEs
were
renewed
into
dimensionless
solved
using
an
effective
finite
element
technique.
velocity,
temperature,
concentration
distributions
are
analyzed
graphically
counter
most
significant
pertinent
parameters
model,
skin
friction,
heat,
mass
conveyance
rates
deliberated
by
tabular
data
at
surface
MATLAB
software
based
numerical
solutions.
results
depicted
that
higher
dissipation,
source,
permeability,
expand
velocity
distribution.
opposite
conduct
was
realized
in
distribution
due
radiation,
strength,
plate
inclination
angle,
aligned
field.
causes
triggered
enlarge
temperature
distribution,
but
it
drops
is
sustained
time
factor
effect
decays
influence
reactions.
Further,
friction
improved
permeability
parameter,
while
tilt
angle
devoted
strengths
hindered
friction.
transfer
rate
grows
processes
decreases
thermo‐diffusion.
radiation
conditions.
Considerably,
integrating
these
diverse
physical
single
provides
new
insights
their
combined
fields,
contributing
advancing
knowledge
fluid
performance
under
various
influences
media.
Finally,
comparative
examination
previous
studies
validated
precision
exactness
findings.
World Journal of Engineering,
Год журнала:
2025,
Номер
unknown
Опубликована: Апрель 4, 2025
Purpose
The
purpose
of
this
reserach
work
aims
to
study
the
steady
state
laminar
mixed
convection
flow
electro
magnetohydrodynamic
(EMHD)
nanofluid
over
a
continuously
moving
plate
is
considered
evaluate
irreversible
transportation
fields
inside
boundary
layer
by
traditional
non-equilibrium
thermodynamics
variational
approach.
Design/methodology/approach
Lagrangian
forms
principle
are
determined
using
trial
polynomials
and
on
including
governing
balance
equations
dual
field
method.
Then,
Euler–Lagrangian
integral
produce
thicknesses
momentum,
temperature
concentration.
integration
provides
fields,
skin
friction,
heat
mass
transfer
rates
as
non-linear
in
terms
dimensionless
sources
EMHD
(
Q
H
),
Joule
heating
Ec
Brownian
motion
N
B
thermophoresis
T
buoyancy
force
Ri
)
nanoparticle
concentration
flux
R
study.
Findings
For
asymptotic
behavior
results,
appropriate
ranges
parameters,
−0.3
≤
0.3,
0
0.1,
0.3
and,
fixed
values
such
Pr
=
6.2,
Sc
5,
0.2
X
1,
considered.
Some
main
findings
shear,
follows:
aiding
Lorentz
>
0)
increases
friction
transfer,
but
decreases
transfer;
nano
particle
parameter
all
transfers
not
at
significant
level.
Originality/value
In
problem,
significance
effects
Richardson
number
past
stretching
Riga
focused
discussed.
This
analysis
can
be
applicable
industrial
extrusion,
submerged
bodies
submarine
hulls
aerofoils.
