Case Studies in Thermal Engineering,
Journal Year:
2023,
Volume and Issue:
47, P. 103077 - 103077
Published: May 15, 2023
Fractional
calculus
yields
numerous
implementations
in
different
fields
such
as
biological
materials,
physical
memory,
oscillation,
wave
propagation,
and
viscoelastic
dynamics.
Due
to
the
significant
applications
of
fractional
calculus,
current
study
deals
with
derivative
base
a
Brinkman
hybrid
nanofluid
an
inclined
magnetic
field.
A
three-parametric
Prabhakar
involvement
Mittag-Leffler
function
is
implemented.
vertical
plate
moving
exponential
velocity
considered
be
source
flow
mechanism.
Moreover,
effects
heating
are
incorporated
into
thermal
analysis.
An
appropriate
group
dimensionless
ansatz
adopted
get
setup
equations.
The
operator
implemented
equations
which
further
tackled
by
effectual
Laplace
transform
technique.
inverse
Stehfest
method
Tzou's
tackle
inversion
transform.
This
exhibits
that
constraints
minimize
both
temperature
velocity.
distribution
deteriorates
corresponding
improved
parameter.
parameter
fluid's
viscosity
directly
related
each
other.
With
parameter,
fluid
increases.
As
result,
motion
decreases.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2024,
Volume and Issue:
104(4)
Published: Feb. 10, 2024
Abstract
The
present
analysis
intends
predominantly
to
explore
the
multiple
behaviors
of
radiating
ethylene
glycol‐based
titanium
dioxide
nanofluids
during
their
steady
boundary
layer
flows
near
a
vertical
permeable
surface
under
prominent
impacts
uniform
blowing
and
nonuniform
internal
heating
processes.
By
incorporating
dynamical
contribution
Lorentz
buoyancy
forces
in
momentum
equation
adopting
single‐phase
nanofluid
approach
along
with
constitutive
equations
second‐grade
rheological
model
Corcione's
correlations,
governing
partial
differential
appropriate
conditions
are
derived
mathematically
based
on
theory
other
admissible
physical
approximations.
After
several
simplifications,
aforesaid
formulation
is
converted
into
set
ordinary
realistic
conditions,
which
solved
thereafter
numerically
using
GDQ's‐NT
method.
Moreover,
it
demonstrated
that
strengthening
processes
has
boosting
effect
velocity
temperature
profiles.
However,
influencing
parameters
show
dissimilar
thermal
trends.
Furthermore,
witnessed
mixed
convective
heat
transfer,
viscoelasticity
trend
nanofluidic
medium,
nanoparticles’
loading
exhibit
an
enhancing
impression
transfer
rate.
Nanotechnology Reviews,
Journal Year:
2024,
Volume and Issue:
13(1)
Published: Jan. 1, 2024
Abstract
Carbon
nanotubes
(CNTs)
are
gaining
popularity
due
to
their
expanding
uses
in
industrial
and
technical
processes,
such
as
geothermal
reservoirs,
water
air
filters,
coatings,
solar
collection,
ceramic
material
reinforcement,
electrostatic
dissipation,
etc
.
In
addition,
the
CNTs
have
superior
electrical
conductivity
biocompatibility.
Based
on
aforementioned
applications,
current
work
examines
time-dependent
Darcy–Forchheimer
flow
of
water/glycerin-based
Casson
hybrid
nanofluid
formed
by
single-walled
multi-walled
over
a
Riga
plate
under
velocity
slip.
The
energy
expression
is
modeled
through
nonlinear
thermal
radiation
viscous
dissipation
impacts.
incorporation
convective
boundary
condition
into
model
improves
its
realism.
By
employing
suitable
variables,
governing
models
re-framed
ordinary
differential
equations.
bvp4c
homotopy
analysis
method
used
find
computational
results
equations
conditions.
novel
characteristics
variety
physical
parameters
velocity,
temperature,
skin
friction
coefficient
(SFC),
local
Nusselt
number
(LNN)
discussed
via
graphs,
charts,
tables.
It
found
that
fluid
decays
when
enriching
Forchheimer
number,
unsteady
porosity
parameters.
parameter
plays
an
opposite
role
heating
cooling
cases.
modified
Hartmann
enhances
surface
drag
force,
declines
SFC.
develops
heat
transfer
rate,
suppresses
LNN.
simulated
problem
has
many
applications
engineering
sectors,
including
manufacture,
systems,
storage
units,
thermodynamic
other
fields.
Mathematics,
Journal Year:
2022,
Volume and Issue:
10(21), P. 4133 - 4133
Published: Nov. 5, 2022
In
the
present
study,
magnetohydrodynamics
(MHD)
bio-convective
flow
and
heat
transfer
of
nanofluid,
due
to
swimming
gyrotactic
micro-organisms
over
a
curved
stretched
sheet,
is
examined.
addition,
thermophoresis
Brownian
motion
behaviors
are
also
investigated
by
assuming
slip
conditions
at
boundary.
A
non-linear
system
partial
differential
equations
(PDEs)
reduced
ordinary
(ODEs).
For
convergent
solutions,
obtained
ODE
solved
use
BVP4C
routine
integrated
MATLAB
package.
impacts
different
influential
parameters
on
motile
micro-organisms,
temperature,
velocity,
concentration
profiles
deliberated.
The
velocity
field
observed
be
when
parameter
increases.
As
main
results,
it
demonstrated
that
distribution
microorganisms
against
curvature
decreases
significantly.
Similarly,
found
nanofluid
(i.e.,
parameters)
Peclet
number
reduce
micro-organisms’
number.
On
other
hand,
evidenced
can
improved
with
an
increase
in
Schmidt
Case Studies in Thermal Engineering,
Journal Year:
2022,
Volume and Issue:
37, P. 102233 - 102233
Published: July 13, 2022
In
this
article,
the
heat
and
mass
transfer
mechanism
of
micropolar
nanofluid
embedded
with
Buoyancy
force
magnetic
field
across
an
enclosure
has
been
analyzed.
Mass,
energy,
momentum
equations
are
required
to
construct
mathematical
model
evaluate
efficacy
thermal
performance
nanoparticles.The
motivation
for
study
is
improve
efficiency
in
equipment
recovery
units
industrial
engineering
processes.
Given
signification
dimensional
analysis,
2D
set
up
their
dimensionless
context.
addition,
finite
volume
approach
(FVM)
employed
numerical
simulations.
The
thermophoresis
Brownian
motion
parameters
considered
temperature
field,
as
proven
via
simulation.
As
a
result
random
mobility
nanoparticles,
more
emitted
inside
enclosure.
Furthermore,
diffusivity
Schmidt
number
inversely
related,so
that
diffusion
cavity
faster
small
values
number.
Additionally,
it
discovered
high
vortex
viscosity
parameter
produces
weak
concentration
significant
behavior
when
Reynolds
significant.
simulations
captured
graphical
form,
results
explained
detail.
Alexandria Engineering Journal,
Journal Year:
2022,
Volume and Issue:
68, P. 747 - 762
Published: Dec. 22, 2022
Motivated
by
the
thermal
importance
of
feeble
electrically
conducting
nanofluids
and
their
flow
controls
in
many
industrial
engineering
applications,
present
scrutinization
intended
to
evidence
comprehensively
main
electro-magneto-hydrothermal
mass
aspects
convective
non-homogeneous
flows
alumina-based
pure
water
Al2O3-H2O
over
a
horizontal
flat
surface
an
electromagnetic
actuator
(i.e.,
Riga
pattern,
which
is
embedded
geometrically
Darcy-Forchheimer
porous
medium.
Further,
nanofluid
model
formulated
realistically
under
umbrella
renovated
two-phase
Buongiorno's
approach
with
inclusion
Brownian
motion
thermophoresis
diffusive
phenomena,
vertical
component
nanoparticles'
flux
tend
vanish
at
limiting
contact
due
its
impermeability
trend.
For
streamlining
technical
handling
problem,
governing
partial
differential
equations
(PDEs)
are
simplified
mathematically
adopting
physical
approximations
boundary
layer
theory
then
transformed
into
structure
ordinary
(ODEs)
based
on
several
similarity
changes.
Methodologically,
resulting
nonlinear
coupled
ODEs
solved
numerically
via
validated
quadrature
procedure.
Besides,
generated
graphical
demonstrations
show
that
temperature
enhanced
significantly
porosity
factors,
loading,
heating
strength,
process.
However,
factors
loading
exhibit
slowing-down
impact
motion.
Usefully,
it
revealed
from
obtained
GDQM
-
NRT
datasets
express
important
improvement
strength
viscous
drag
forces,
whereas
induced
field
shows
reverse
frictional
impact.
ACS Omega,
Journal Year:
2022,
Volume and Issue:
7(37), P. 33432 - 33442
Published: Sept. 2, 2022
The
growth
of
hybrid
nanofluids
can
be
connected
to
their
enhanced
thermal
performance
as
pertains
the
dynamics
automobile
coolant
among
others.
In
addition
that,
characteristics
water-based
carrying
three
different
types
nanoparticles
are
incredible.
Keeping
in
view
this
new
idea,
current
investigation
explores
ternary
nanofluid
flow
over
a
stretching
sheet.
Joule
heating
and
viscous
dissipation
addressed
heat
equation.
Three
distinct
kinds
nanoparticles,
namely,
magnesium
oxide,
copper,
MWCNTs,
suspended
water
form
with
combination
MgO-Cu-MWCNTs-H2O.
To
stabilize
nanofluid,
transverse
magnetic
electric
fields
have
been
considered
fluid
model.
production
entropy
has
analyzed
for
modeled
problem.
A
comparative
study
ternary,
hybrid,
traditional
also
carried
out
by
sketching
statistical
charts.
equations
that
govern
problem
shifted
dimension-free
format
employing
transformable
variables,
then
they
solved
homotopy
analysis
method
(HAM).
It
revealed
work
opposes
parameter
supports
field
volumetric
fraction
while
profiles
gained
growing
values
these
parameters.
Boosting
field,
parameters,
Eckert
number
support
Bejan
oppose
entropy.
Statistically,
it
established
higher
conductivity
than
or
nanofluids.
Scientific Reports,
Journal Year:
2023,
Volume and Issue:
13(1)
Published: Feb. 14, 2023
The
main
objective
of
this
work
is
to
present
a
comprehensive
study
that
scrutinize
the
influence
DD
convection
and
induced
magnetic
field
on
peristaltic
pumping
Boron
Nitride-Ethylene
Glycol
nanofluid
flow
through
vertical
complex
irregular
microchannel.
Experimental
showed
created
by
suspending
Nitride
particles
in
combination
Ethylene
exhibited
non-Newtonian
characteristics.
Further,
Carreau's
fluid
model
provides
accurate
predictions
about
rheological
properties
BN-EG
nanofluid.
In
order
imitate
complicated
wave
propagation
conditions,
sophisticated
waveforms
are
forced
at
walls.
essential
Brownian
motion
thermophoresis
phenomena
also
included
simulating
heat
equation
as
well
viscous
dissipation.
Mathematical
simulation
performed
utilizing
lubrication
approach.
resulting
nonlinear
coupled
differential
system
solved
numerically
using
built-in
command
(ND
Solve
function)
Mathematica
program.
Numerical
pictorial
evidence
used
illustrate
importance
various
physiological
features
quantities.
major
findings
demonstrated
thermal
resistance
observed
rise
Soret
Dufour
numbers
increase,
while
dissolvent
concentration
nanoparticles
volume
fraction
have
opposite
effect.
Arabian Journal of Chemistry,
Journal Year:
2023,
Volume and Issue:
16(5), P. 104698 - 104698
Published: Feb. 23, 2023
The
flowing
of
nanomolecules
in
Williamson
nanoliquids
via
a
stretched
sheet
has
significant
influence,
and
its
demand
the
manufacturing,
therapeutic
disciplines,
medication,
cooking
supplies
is
enormous
frequently
reported.
However,
2-dimensional
(2-D)
combined
convective
Williamson-dusty
nanofluid
(WDNF)
stretchable
presence
magneto
force
porous
medium
remains
unidentified.
Hence,
this
report
inspects
influence
Brownian
thermophoretic
diffusion
preserved
WDNF
modeling
occurrence
radiative
flowing.
Runge-Kutta
Fehlberg
approach
(RKFA)
used
to
numerically
study
problem
an
ordinary
differential
system
employing
shooting
techniques.
table
also
addresses
frictional
factor,
heat,
mass
transmission
rate,
as
well
validates
current
findings
with
earlier
available
results
scheduled
manner.
acquired
outcomes
demonstrate
that
larger
magnetic
field
decreases
rapidity
thickening
impetus
boundary
layer
nanofluids.
momentum
dust
parameter
fluid
interaction
are
shown
enhance
heat
rate.
temperature
fields
liquid
dusty
phases
improved
radiation
was
raised
on
contrary
magnetism
which
causes
dwindling
two
phases.
Consequently,
examined
model's
transference
reduced
opposite
direction
Weissenberg
number
by
force.
Additionally,
it
found
higher
thermophoresis
parameters
show
increasing
trend
for
both
Waves in Random and Complex Media,
Journal Year:
2023,
Volume and Issue:
unknown, P. 1 - 22
Published: Feb. 16, 2023
The
non-homogeneous
aspect
and
dynamical
feature
of
a
radiating
mixture
an
upper-convected
Maxwell
nanofluid
gyrotactic
motile
microorganisms
are
revealed
numerically
in
this
investigation
during
its
two-dimensional
mixed
convective
motion
nearby
convectively
heated
vertical
surface
uniform
magnetic
field
source.
Based
on
relevant
physical
mathematical
backgrounds,
the
conservation
laws
(i.e.
equations
continuity,
momentum,
heat
balance,
solid
nanoparticles’
concentration,
microorganisms’
concentration)
monitoring
present
flow
problem
derived
appropriately
form
partial
differential
equations.
By
making
use
specific
transformations
rearrangements,
these
converted
thereafter
into
gigantic
structure
first-order
ordinary
executing
computationally
appropriate
bvp4c
subroutine,
resulting
boundary
layer
handled
accordingly
for
well-defined
constraints.
Afterward,
computing
unitless
characteristics
velocity,
temperature,
skin
friction
coefficient,
Nusselt's
number,
Sherwood's
transfer
rate)
discussed
exhaustively
via
graphical
tabular
illustrations.
As
prominent
outcomes,
it
is
demonstrated
that
Joule's
heating
effect
Lorentz's
forces
exhibit
enhancing
influence
mass
transport
phenomena
within
nanofluidic
medium
with
dissimilar
impact.