Symmetry,
Journal Year:
2024,
Volume and Issue:
16(12), P. 1669 - 1669
Published: Dec. 17, 2024
The
article
proposes
several
classes
of
exact
solutions
to
the
Oberbeck–Boussinesq
equations
describe
convective
flows
micropolar
fluids.
possibility
using
families
for
classical
incompressible
fluids
is
discussed.
It
shown
that
three-dimensional
equation
describing
steady
and
unsteady
satisfies
class
Lin–Sidorov–Aristov
solutions.
ansatz
characterized
by
a
velocity
field
with
linear
dependence
on
two
spatial
coordinates.
These
coordinates
are
called
horizontal
or
longitudinal.
coefficients
forms
depend
third
coordinate
(vertical
transverse)
time.
pressure
temperature
described
quadratic
forms.
Generalizations
Ostroumov–Birikh
considered
special
case
family
unidirectional
homogeneous
shear
flows.
An
overdetermined
system
investigated
non-homogeneous
non-trivial
complex
topology
in
3D
metric
space.
A
compatibility
condition
obtained
class.
Finally,
vector
nonlinear
part
presented
our
analysis;
such
partially
invariant
correspond
theoretical
findings
regarding
symmetric/asymmetric
properties
flow
fields
existence
appropriate
symmetry
Case Studies in Thermal Engineering,
Journal Year:
2023,
Volume and Issue:
47, P. 103058 - 103058
Published: May 11, 2023
Ethanol
and
biodiesel,
which
both
belong
to
the
first
generation
of
biofuel
technology,
are
two
most
popular
forms
biofuels
now
in
use.
In
order
create
next-generation
using
waste,
cellulosic
biomass,
algae-based
resources,
Bioenergy
Technologies
Office
(BETO)
is
working
with
business.
The
present
article
designed
study
effect
tetra
hybrid
nanoparticles
utilization
novel
Hamilton
Crosser
model
catalytic
reaction
on
binary
fluid
consideration
ethanol
as
a
base
fluid.
comprising
heterogeneous
amplifies
thermal
conductivity
significantly
increases
brake
efficiency
reduces
brake-specific
fuel
consumption
diesel
engines.
Therefore,
aim
this
theoretical
checkup
that
related
heat
mass
transport
flow
considering
accompanied
autocatalysis
biofluid
subjected
Riga
wedge.
Transportation
via
nonuniform
source/sink,
radiation,
our
consideration.
mathematics
assumed
problem
generates
system
non-linear
partial
differential
equations
from
basic
momentum,
energy,
mass.
usage
non-dimensional
variables
gave
ODEs
boundary
conditions
further
dealt
Lobatto111A
scheme.
results
obtained
for
stretching/shrinking
wedge
several
parameters.
From
results,
it
observed
velocity
field
diminishes
owing
magnification
Weissenberg
number
Casson
parameter.
temperature
by
amplifying
generation,
variable
Concentration
distribution
escalates
rising
homogeneous
Case Studies in Thermal Engineering,
Journal Year:
2023,
Volume and Issue:
49, P. 103261 - 103261
Published: July 7, 2023
The
power
that
comes
from
renewable
sources
is
made
back
faster
than
it
used.
Infinitely
examples
include
solar
and
wind
energy.
There
are
many
of
clean
energy
all
around
us.
A
framework
has
now
been
developed
throughout
this
research
to
investigate
the
impact
sun's
rays
on
novel
Xue
tetra
hybrid
magnetized
cross
nano-liquid
as
moves
through
an
expanding
sheet
inside
PV
a
module
installed
top
such
offshore
oil
field.
nanofluid
model
utilized
explore
tetrahybrid
nanoparticles
liquid
flowing
in
order
heat
transport
analysis.
By
directing
liquid's
motion
magnetic
field,
we
may
examine
its
velocity
impact.
concentration
aspect
examined
by
including
homogeneous
heterogeneous
chemical
processes,
indeed,
temperature
accessibility
cross-nanofluid
obtained
taking
into
consideration
effects
like
thermal
conductivity
radiation.
PDEs
derived
working
prototype
then
subjected
resemblance
factors,
yielding
ODEs.
bvp4c
scheme
used
get
numerical
results.
procedure
ODE
solver
belongs
Runge-Kutta
family.
In
provide
precise
answers
fourth
fifth
orders,
performs
six
function
evaluations.
discrepancy
between
them
therefore
interpreted
solution's
(fourth-order)
inaccuracy.
Adaptive
stepsize
integration
techniques
greatly
benefit
error
estimation.
Fehlberg's
(RKF)
strategy
quite
similar
Cash
Carp
technique.
From
results,
detected
addition
conventional
(Xue
nanofluid)
enhances
transfer
rate
profile
more
quickly
contrast
ternary
dihybrid
available
existing
literature.
thing
which
makes
present
work
one
step
ahead
literature
development
implementation
models.
Tetra
hybridity
nanoliquid
generates
extra
distinction
already
models
absorbed
sheets
existence
nanoparticles.
When
nanomaterials
submerged
liquid,
their
increases
both
shear
thinning
thickening
cases.
This
because
reaction
mimics
migration
within
liquid.
increased
force,
enhancement
Lorentz's
slows
down
motion.
volume
percentage
nanoparticles,
radiation,
boost
that's
captured
sheet,
utilised
for
other
functions,
drilling
or
navigation,
rig.
Cost
analysis
also
presented
terms
Pakistan
rigs
panels
diesel
generators
observed
49%
cost
reduced
if
replaced
with
solar-powered
Case Studies in Thermal Engineering,
Journal Year:
2023,
Volume and Issue:
49, P. 103174 - 103174
Published: June 8, 2023
Solar
energy
is
the
most
important
source
of
thermal
that
comes
from
sun.
This
kind
has
enormous
potential
applications
in
fields
technology
such
as
photovoltaic
panels,
renewable
power,
solar
light
poles,
and
pumps
used
for
water
extraction.
The
era
which
we
are
living
all
about
industrial
sectors
importantly
sports
car
manufacturing.
article
presents
a
new
way
thinking
heat
transport
analyses
hybrid
vehicles,
by
factoring
Casson-Sutterby
liquid
with
inclusion
various
effects
like
variable
conduction,
radiation,
generation,
tetrahybrid
nanoparticles.
To
solve
modelled
equations
regards
to
both
momentum
energy,
another
well-computational
approach
known
Cash
Carp
method
was
used.
wide
variety
factors
on
temperature,
shear
stress,
velocity
fields,
well
surface
drag
coefficient
Nusselt
number,
briefly
described
illustrated
form
tables
figures.
It
then
found
production,
conductivity
parameters
insertion
agglomerative
tetrhybrid
nanoparticles
base
fluid
amplify
transfer
rate,
it
been
shown
performance
increases
terms
transition.
In
comparison
standard
nanofluid,
nanofluid
effective
medium
transmission
heat.
From
regression
analysis,
observed
error
number
smaller
0.0151
case
ε=1.5,
ε=2.5.
Relative
percentage
4.62%
generation
Q=0.7
but
maximum
15.8%
radiation
Rd=2.
International Journal of Numerical Methods for Heat & Fluid Flow,
Journal Year:
2024,
Volume and Issue:
34(5), P. 2065 - 2093
Published: March 26, 2024
Purpose
The
purpose
of
this
study
is
to
analyze
the
impact
inclined
magnetohydrodynamics
(MHD)
and
thermal
radiation
on
flow
a
ternary
micropolar
nanofluid
sheet
that
expanding
contracting
while
applying
mass
transpiration
velocity
slip
conditions
flow.
nanofluid,
which
composed
Au,
Ag
Cu
nanoparticles
dispersed
in
water
as
base
fluid,
possesses
critical
properties
for
increasing
heat
transfer
rate
frequently
used
manufacturing
industrial
establishments.
Design/methodology/approach
set
governing
nonlinear
partial
differential
equations
transformed
into
ordinary
equations.
outcome
equation
solved
obtained
closed-form
solution
energy
form
hypergeometric
functions.
Findings
velocity,
micro-rotation
temperature
field
are
investigated
versus
parametric
variation.
physical
domains
suction
or
injection
characteristics
play
an
important
role
specifying
presence,
singleness
multiplanes
exact
solutions.
In
addition,
many
nondimensional
profiles
temperature,
angular
graphically
shown
with
substantial
consequences.
Furthermore,
adding
increases
fluid
current
findings
may
be
better
oil
recovery
procedures,
smart
materials
such
magnetorheological
fluids,
targeted
medicine
administration
increased
transmission.
Concerning
environmental
cleanup,
nanomaterial
fabrication
biomedical
devices,
demonstrate
their
potential
influence
variety
disciplines.
Originality/value
originality
paper
MHD
at
angle
over
effect.
Proceedings of the Institution of Mechanical Engineers Part E Journal of Process Mechanical Engineering,
Journal Year:
2024,
Volume and Issue:
unknown
Published: April 1, 2024
This
study
looks
at
how
thermal
radiation
and
magnetic
fields
affect
the
generation
of
entropy
in
unsteady
flow
a
tri-hybridized
nanofluid
across
plate
that
is
moving
vertically
has
surface
slippage
suction
changes
over
time.
The
movement
aligns
with
fluid
flow,
far-away
velocity
increases
exponentially
following
small
perturbation
rule.
unsteadiness
attributed
to
varying
free
stream
velocity.
A
homogeneous
flux
acting
transversely
porous
wall
regulates
laminar
incompressible
two-dimensional
flow.
presence
nanoparticles
makes
it
possible
adding
different
properties,
such
as
Cu,
Fe
3
O
4
TiO
2
way
base
fluids
like
water
kerosene
heat
moves
through
them.
Using
dimensionless
variables,
mathematical
model
problem
transformed
into
form
amenable
an
analytical
solution.
solution
achieved
help
two-term
harmonic
non-harmonic
functions.
Several
factors
influence
transmission
are
examined
explored
depth.
These
include
velocity,
parameter,
nanoparticle
volume
fraction,
absorption.
findings
show
ternary
raise
temperature
speed
both
more
than
hybrid
nanoparticles.
increase
fraction
nanomaterials
also
fluids.
results
might
be
used
improve
efficiency
management
systems
wide
range
technical
industrial
operations
having
transfer
movement.
Micromachines,
Journal Year:
2023,
Volume and Issue:
14(5), P. 1049 - 1049
Published: May 14, 2023
In
the
field
of
convective
energy
transfer,
natural
convection
is
one
most
studied
phenomena,
with
applications
ranging
from
heat
exchangers
and
geothermal
systems
to
hybrid
nanofluids.
The
aim
this
paper
scrutinize
free
a
ternary
nanosuspension
(Al2O3-Ag-CuO/water
nanofluid)
in
an
enclosure
linearly
warming
side
border.
motion
transfer
have
been
modelled
by
partial
differential
equations
(PDEs)
appropriate
boundary
conditions
single-phase
nanofluid
model
Boussinesq
approximation.
finite
element
approach
applied
resolve
control
PDEs
after
transforming
them
into
dimensionless
view.
impact
significant
characteristics
such
as
nanoparticles'
volume
fraction,
Rayleigh
number,
heating
temperature
constant
on
flow
thermal
patterns
combined
Nusselt
number
has
investigated
analyzed
using
streamlines,
isotherms,
other
suitable
patterns.
performed
analysis
shown
that
addition
third
kind
nanomaterial
allows
for
intensifying
transport
within
closed
cavity.
transition
between
uniform
non-uniform
left
vertical
wall
characterizes
degradation
due
reduction
output
heated
wall.