Partial Differential Equations in Applied Mathematics,
Год журнала:
2024,
Номер
11, С. 100852 - 100852
Опубликована: Июль 31, 2024
In
this
paper,
studied
the
impact
of
heat
generation
Nanofluid
movement
over
a
stretching
sheet
by
consideration
Thermophoresis,
Brownian
motion
&
first
order
chemical
react
parameters
etc.
Constructed
modelling
equations
with
based
on
assumptions
and
introducing
emerging
parameters.
The
converted
to
third
ODE
through
stream
functions.
FDM
collocation
polynomial
technique
(bvp4c)
employed
solve
those
MATLAB
software.
results
are
presented
graphical
form
influence
Thickness
thermal
boundary
stratum
decreased
as
enhancing
Prandtl
number.
Influence
parameter,
fluid
temperature
raised
fall
down
concentration.
Temperature
concentration
enhancement
thermophoresis.
A
decrease
in
transfer
rate
an
increase
mass
observed
thermophoresis,
motion,
parameter
values
increasing.
reaction
intensifies
driving
forces
gradients,
which
govern
transfer,
leading
increased
rates
both
transfer.
Validation
model
present
align
well
past
reported
studies.
This
can
extent
analyse
hybrid
nanofluid
manufacturing
process
detergent,
painting
lubricants,
analysis
blood
flow
artery
Results in Engineering,
Год журнала:
2024,
Номер
21, С. 101798 - 101798
Опубликована: Янв. 14, 2024
The
Williamson
nanofluid
flow
along
with
the
thermal
and
solutal
transport
effects
like
enthalpy
viscous
dissipation,
has
lots
of
applications
in
numerous
engineering
fields
such
as
heat
exchangers,
automotive
engineering,
cooling
systems,
aerospace,
biomedical
applications.
temperature-dependent
viscosity
implications
polymer
processing,
chemical
microfluidic
devices,
environmental
fluid
dynamics,
oil
gas
industries.
current
research
deals
numerical
study
magnetohydrodynamic
2-dimensional
flowing
on
a
stretched
cylinder.
thermophysical
property
(viscosity)
is
assumed
to
depend
temperature
for
this
system.
transmission
analysis
processes,
also
considered
here.
boundary
layer
approach
used
address
main
leading
equations,
ODEs
are
generated
from
equations
by
assuming
similarity
transformations.
novelty
problem
use
multistep
technique,
which
Adams-Bashforth
Predictor
Corrector
method,
RK-4
scheme
secant
method.
key
parameters
illustrate
graphical
behavior
velocity,
temperature,
concentration
regions.
variations
coefficient
cause
velocity
increase,
whereas
alterations
curvature
parameter
region
decrease.
given
area
declines
due
impact
Prandtl
number.
fluids
shows
augmented
values
occurrence
variation
thermopherosis
coefficient,
Brownian
motion
parameter,
generation
parameter.
activation
energy
lead
an
increase
region,
decrease
noted
Damkholer
number
Schmidt
International Journal of Thermofluids,
Год журнала:
2024,
Номер
22, С. 100705 - 100705
Опубликована: Май 1, 2024
Nanofluids,
comprising
nanoparticles
and
a
base
fluid,
have
captured
substantial
interest
due
to
remarkable
enhancements
in
thermal
conductivity
other
crucial
thermophysical
properties.
These
advancements
facilitate
diverse
applications
across
various
industrial
processes,
including
biomedical
drug
research.
This
review
centers
on
non-Newtonian
nanofluids,
which
diverge
from
Newton's
law
of
viscosity,
rendering
them
more
adaptable
versatile.
Through
comprehensive
examination
the
latest
research,
preparation
methods,
both
one-step
two-step
techniques,
their
formulations
oil-based,
water-based,
ethylene
glycol-based
solutions
are
systematically
explored.
The
study
synthesizes
findings
that
highlight
significant
improvements
heat
transfer
efficiency
introduces
novel
sectors,
such
as
engineering
energy
systems.
Furthermore,
an
in-depth
characterization
nanofluids
is
provided,
covering
rheological,
dispersion,
transport,
magnetic,
optical,
radiative
fluids
increasingly
utilized
exchangers,
automotive
radiators,
engines,
solar
collectors,
electronic
coolants,
demonstrating
broad
spectrum
practical
applications.
shows
ongoing
challenges
primarily
centered
preparation,
stability,
commercialization
nanofluids.
Conclusively,
paper
underscores
potential
revolutionize
technological
areas
advocates
for
continued
research
develop
stable
efficient
formulations,
paving
way
innovative
scientific
Numerical Heat Transfer Part A Applications,
Год журнала:
2024,
Номер
unknown, С. 1 - 21
Опубликована: Фев. 18, 2024
The
current
problem
focuses
on
the
heat
transfer
analysis
of
non-Newtonian
Prandtl-Eyring
fluid
flow
under
an
applied
magnetic
field
over
a
variable
stretching
sheet.
is
assumed
because
most
practical
situations
have
surfaces.
In
addition,
very
important
phenomenon
in
many
applications
like
extrusion
sheets,
cooling
plants,
etc.
Thus,
estimated
with
Christov-Cattaneo
conduction
law
to
get
more
realistic
results.
physical
mathematically
modeled
all
these
assumptions,
it
yields
boundary
value
coupled
nonlinear
partial
differential
equations.
governing
equations
are
first
transformed
into
ordinary
by
employing
set
similarity
transforms.
And,
obtained
system
numerically
simulated
shooting
method
for
different
parametric
conditions.
proposed
algorithm
quite
efficient
and
implemented
solve
efficiently.
Variations
momentum
thermal
energy
captured
graphs
varying
govern
parameters.
surface
drag
coefficient
reduced
Nusselt
number
computed
analyzed.
For
validation
results,
comparison
established
existing
literature,
can
be
shown
that
results
matched
well
reported
literature.
It
observed
both
parameters
(α,β)
effects
velocity
i.e.
parameter
α
increases
while
β
decelerates
it.
Also,
produces
Lorentz
force
which
works
opposite
direction
hence
motion
significantly.
higher
this
less
favorable
movement
as
compared
linear
stretching.
temperature
cools
down
if
relaxation
considered.
Alexandria Engineering Journal,
Год журнала:
2023,
Номер
80, С. 553 - 558
Опубликована: Сен. 7, 2023
The
vast
significance
and
applications
in
various
industrial
works
such
as
heat
cooling
process,
chemical
reactors,
food
storage
systems
several
medical
motivated
the
author
to
conduct
this
type
of
study.
aim
paper
is
inspect
two-dimensional
incompressible
magnetohydrodynamic
flow
Williamson
fluid
through
a
stretching
sheet.
Cattaneo-Christov
temperature
concentration
considered
with
effects
double
stratification
viscous
dissipation.
leading
nonlinear
partial
differential
equations
are
transformed
into
ordinary
by
means
renowned
similarity
transformations
solutions
problem
obtained
bvp4c
method
on
MATLAB
software.
parameter
depending
time
relaxation
declines
motion.
motion
slowed
down
due
Hartman
number.
mass
noted
be
decline
thermal
solutal
parameters.
rises
coefficient
reduce
transferal
rate.
Alexandria Engineering Journal,
Год журнала:
2023,
Номер
81, С. 64 - 86
Опубликована: Сен. 13, 2023
This
work
investigates
the
transference
of
mass
and
heat
rate
with
Cattaneo-Christov
model
for
2-D
magnetohydrodynamic
couple
stress
fluid
flowing
in
a
sensory
surface.
The
considered
on
microcantilever
sensor
surface
squeezed
at
free
stream
which
can
perceive
motion
variance
temperature
concentration
rates.
physical
nature
this
study
is
investigated
by
using
variable
properties.
context
squeezing
important
due
to
their
unique
rheological
understanding
these
types
flow
behavior
enables
engineers
scientists
design
efficient
processes,
improve
lubrication,
enhance
coating
techniques,
optimize
material
transport
avoid
instabilities
associated
complex
flow.
governing
PDEs
equations
are
attained
adapting
assumptions,
then
altered
into
form
ODEs
via
similarity
transformations.
numerical
solutions
achieved
taking
Adams-Bashforth
(Predictor-Corrector)
technique
along
RK-4
method.
declining
velocity
inspected
inputs
permeable
velocity,
parameter
index.
drops
thermal
relaxation
coefficients.
International Journal of Thermofluids,
Год журнала:
2024,
Номер
21, С. 100589 - 100589
Опубликована: Янв. 27, 2024
The
authors
are
attracted
to
conduct
this
study
because
it
has
a
major
dependence
on
scientific,
medical,
and
engineering
works,
including
heat
exchangers,
geothermal
systems,
reactive
flow
in
chemical
reactors,
blood
arteries,
groundwater
flow,
enhanced
oil
recovery,
cooling
systems
aircraft,
nanofluidic
devices.
In
study,
the
problem
deals
with
two-dimensional
incompressible
boundary
layer
natural
convective
of
Carreau
fluid
flowing
surface
variable
thickness.
thermophysical
properties
like
viscosity,
thermal
conductivity,
diffusivity
chosen
be
variable.
For
determination
solutal
analysis,
we
have
considered
enthalpy
change
along
activation
energy,
generation,
Soret,
Dufour
effects.
model
equations
occur
PDEs
form
then
converted
into
ODEs
via
similarity
transformations.
numerical
outcomes
obtained
by
using
multistep
method
named
Adams-Bashforth
Predictor
Corrector
technique
MATLAB
software.
velocity
is
decreasing
function
Weissenberg
number,
viscosity
coefficient,
both
Grashof
numbers
transport.
temperature
field
growing
Damkholer
conduction
generation
parameter,
whereas
declining
behavior
noted
due
number
difference
coefficient.
concentration
rises
increasing
inputs
coefficient
but
decline
Soret
number.
skin
friction,
Nusselt
Sherwood
also
discussed
here,
these
compared
Bvp4c
Bvp5c
built-in
commands
Matlab
International Journal of Ambient Energy,
Год журнала:
2024,
Номер
45(1)
Опубликована: Апрель 1, 2024
Non-Newtonian
fluid
flows
are
a
present
advancement
in
industrial
heat
transfer
and
mechanics,
with
numerous
applications
engineering
field
as
well
real
life
such
food
industry,
petroleum
refiners,
biological
processes,
biomedical
engineering,
chemical
etc.
As
result,
this
numerical
investigation
explore
the
flow
behaviour
of
mixed
convective
non-Newtonian
power-law
nanofluid
(Al2O3-H2O)
rectangular
enclosure.
The
physical
model
is
considered
two-dimensional
enclosure
consisting
two
rotating
hot
cylinders
(TH)in
middle
part
cavity,
where
one
moving
clockwise
other
counter-clockwise
directions.
left
right
walls
chamber
taken
relatively
low
temperature
(TC)
while
remaining
top
bottom
insulated.
important
thermophysical
property,
viscosity,
depends
on
shear
rate,
thermal
conductivity
temperature.
related
governing
equations
solved
by
using
finite
element
method,
to
describe
response
surfaces
surface
methodology
(RSM)
applied.
influence
relevant
non-dimensional
parameters,
Prandtl
number
(Pr=6.2),
Reynolds
(Re=10,
100,
200
400),
index
(n
=
0.6,
0.8,
1.0
1.4),
Richardson
(Ri=1.0,
2.0,
4.0
6.0),
nanoparticle
volume
fraction
(ϕ=0.00,
0.01,
0.02
0.04),
explained
interpretation
streamlines,
isotherm
lines,
velocity
profile,
average
Nusselt
(Nuav).
To
visualise
surfaces,
2D
3D
contour
plots
RSM.
It
concluded
that
adding
into
base
fluid,
rate
developed
significantly.
Same
phenomena
exhibits
for
larger
magnitudes
Ri
Re.
And,
increasing
value
n
from
0.6
1.4,
Nuav
would
go
down
39.8
percent.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Год журнала:
2024,
Номер
104(4)
Опубликована: Фев. 11, 2024
Abstract
This
work
dealing
to
solve
the
numerical
results
of
magnetohydrodynamic
flow
material
(Casson
fluid)
moving
over
slender
parabolic
surface
with
temperature
dependent
viscosity.
To
make
enhancement
in
thermal
and
solutal
fields,
we
have
determined
impact
radiation,
viscous
dissipation,
joule
heating,
chemical
reaction
on
considered
material.
Due
huge
applications
coating
processes
aerodynamic
industries,
suction/Injection
is
assumed
at
surface.
With
help
assumptions,
governing
equations
are
obtained
partial
differential
equation
forms,
these
translated
into
ordinary
form
by
using
Levy‐Lee
similarity
transformations.
The
forms
ODE's
then
numerically
solved
Adams‐Milne
(Predictor–Corrector)
technique.
graphical
findings
producing
emerging
parameters.
decrement
velocity
noted
due
fluid
parameter
suction
coefficient
whereas
happens
natural
convection.
determination
physical
quantities
including,
Nusselt
number,
Skin
friction
Sherwood
number
also
examined
here
compared
two
techniques
(Adam‐Milnes
Bvp4c
method).
Abstract
Understanding
and
controlling
the
thermal
transport
phenomena
are
crucial
in
numerous
applications.
The
current
research
emphasizes
diffusivity
of
an
inclined
magnetized
Cross
fluid
with
temperature-dependent
conductivity
a
computational
iterative
spectral
relaxation
scheme.
mathematical
model
is
employed
to
characterizes
non-Newtonian
behavior
uncover
viscoelastic
properties
fluid.
Flow
incorporated
under
temperature
influence
external
magnetic
strength
considered
for
variations.
Various
prominent
factors,
including
cross
index,
field,
inclination
angle,
analyzed
on
fluid's
diffusivity.
flow
governing
PDEs
converted
into
system
ODEs
by
using
suitable
transformation.
Spectral
computation
scheme
then
used
new
set
equations.
SRM
algorithm
subsystems
built
through
MATLAB.
Numerical
results
illustrated
MATLAB
graphs.
Physical
quantities
such
as
Sherwood
numbers,
Nusselt
skin
friction
coefficient
visually
taken
place
statistical
graphs
two
cases
imposed
field.
this
investigation
shed
light
how
fluids
behave
when
exposed
changes
fields
useful
understanding
leverage
these
effects
specific