International Journal of Modelling and Simulation,
Год журнала:
2023,
Номер
unknown, С. 1 - 13
Опубликована: Окт. 20, 2023
ABSTRACTThe
current
study
investigates
the
weakly
hydromagnetic
and
bioconvection
nanofluid
flow
of
Williamson
fluid,
which
conveys
gyrotactic
microorganisms,
over
a
three-dimensional
Riga
surface.
The
primary
objective
is
to
stabilize
biological,
mechanical,
thermal
systems
through
introduction
exponentially
decaying
rheology
in
both
momentum
energy
equations,
known
as
electro-magneto-hydrodynamic
actuator
(EMHD).
As
such,
working
fluid
assumed
be
dissipative,
with
significant
consideration
given
magnetic
Reynolds
number
higher-order
reaction
rate.
To
simplify
phenomenon
suspended
nanoparticles'
bioconvection,
an
appropriate
similarity
transformation
applied,
converting
system
partial
differential
equations
(PDEs)
into
ordinary
(ODEs).
analyze
governing
parameters,
numerical
approach,
Galerkin
Weighted
Residual
Method
(GWRM),
employed.
results
are
presented
tables
graphs,
providing
valuable
insights.
findings
highlight
that
Hartmann
improves
weak
movement
thermophoresis
positively
affects
all
distributions.
Moreover,
temperature
field
influenced
by
Brownian
motion,
leading
inflation,
while
concentration
experiences
decrease
due
lower
particles
available
for
reaction.
Furthermore,
higher
buoyancy
forces
indicate
movement,
resulting
reduction
chemical
rate.KEYWORDS:
Gyrotactic
microorganismsWilliamson
fluidGalerkin
methodNanoscienceEMHDRiga
plate
Nomenclature
j0=current
density
[A/L2]M0=surface
property
[Wb/L2]μ=variable
viscosity
[kgL−1s−1]C=fluid
[mol.]ρ=fluid
[Kgm−3]ν=kinematic
[L2/s]β4=material
constant
[-]β1=viscosity
parameterNt=Thermophoresis
[-]Sc=Schmidt
[-]K=Williamson
parameter
[-]Gn=Gyrotatic
Grashof
[-]Ec=Local
Eckert
[-]λ=chemical
[-]Tw=temperature
[K]Cw=concentration
[mol.L−3]C∞=free
stream
[mol.L−3]w=velocity
component
z−
[Ls−1]u=velocity
x−
direction
[LS−1]Kr=rate
[S−1]ρf=density
[Kg/L3]r0=diameter
magnets
[L]Do=mass
diffusivity[L2/s]T=fluid
[K]Cp=specific
heat
capacity
[J/kg.K]Ha=modified
Hartman
[-]β2=thermal
conductivity
[WL−1K−1]Nb=Brownian
motion
[-]β5=stretching
ratio
[-]Pr=Prandtl
[-]Gr=thermal
[-]χ=bioconvection
[-]Le=Lewis
[-]Pe=Peclet
[-]Nw=motile
[mol.Kg−1]T∞=free
[K]N∞=free
Stream
motile
microorganisms
[mol.Kg−1]v=velocity
y−
[LS−1]x,y,z=cartesian
coordinate
[L]AcknowledgmentsThe
authors
appreciates
acknowledge
reviewers
their
constructive
comments.
Thanks
you
your
time.Disclosure
statementNo
potential
conflict
interest
was
reported
author(s).Additional
informationNotes
on
contributorsMojeed
T.
AkoladeMojeed
Akolade
doctoral
student
at
Department
Mathematics,
University
Ilorin,
Nigeria,
Assistant
Lecturer
Mathematical
Computing
Science,
Thomas
Adewumi
University,
Oko,
Kwara
State,
Nigeria.
His
research
includes,
mechanics,
thermodynamics
analysis,
squeezing
flow,
non-Newtonian
sensitivity
numerical,
statistical
analysis
problems,
has
authored
co-authored
numerous
journal
articles.Tayyaba
AkhtarTayyaba
Akhtar
from
historic
town,
Sangla
Hill
located
Nankana
Sahib
district
Punjab,
Pakistan.
She
been
visiting
Mathematics
since
2022
present.
graduated
reputed
institute
Government
College
Faisalabad,
Her
interests
Numerical
Simulation,
Heat
mass
flows,
radiations
Porous
Media,
MHD
Microorganism,
Nanofluids,
equations.
participated
many
national/international
conferences/seminars.Mohamed
M.
AwadProf.
Dr.
Mohamed
Awad
associate
professor
Mechanical
Power
Engineering
Department,
Faculty
Engineering,
Mansoura
Egypt.
He
also
recipient
ASME
International
Petroleum
Technology
Institute
(IPTI)
Award
2005
2006.
won
silver
medal
45th
Exhibition
Inventions,
Geneva,
Swiss,
29
March
-
2
April
2017.
Currently,
he
Regional
Editor
Africa
Australia,
Editorial
Board,
Journal
Thermal
Yildiz
Technical
Press,
Turkey
&
Board
Member
Oil,
Gas
Coal
Technology.
received
his
Ph.D.
Memorial
Newfoundland
2007
undergraduate
degree
master's
Egypt,
1996
2000,
respectively.
focus
development
robust
models
characterizing
transport
phenomena
using
fundamental
theory.
These
validated
experimental
and/or
results.
author
3
book
chapters.
published
more
than
65
papers
refereed
journals
conference
proceedings
these
areas.
Presently,
focused
modeling
complex
dynamics
transfer
problems
internal
flows.
include
porous
media,
compact
exchangers,
two-phase
microchannel
design/optimization
systems.
member
American
Society
Engineers
(ASME).Yusuf
O.
TijaniYusuf
Tijani
avid
lover
teaching.Adeshina
AdeosunAdeshina
Adeosun
obtained
Master
Science
Analytical
Dynamics
later
got
Fluid
Mechanics
same
now
Federal
Education,
Iwo,
Computational
Modelling.
Numerical Heat Transfer Part A Applications,
Год журнала:
2024,
Номер
unknown, С. 1 - 28
Опубликована: Янв. 3, 2024
The
unsteady
nanofluid
flow
that
rotates
in
both
directions
over
a
stretched
surface
could
assist
many
technological
and
industrial
processes.
When
the
effects
of
slip
conditions,
aggregation,
changing
viscosity
are
considered,
can
be
used
coatings
deposition,
energy
harvesting
devices,
drug
delivery
systems,
cooling
systems
with
better
heat
transfer.
major
purpose
this
study
is
to
evaluate
influence
variable
viscosity,
aggregation
have
on
behavior
nanofluids
three
dimensions.
This
research
looks
specifically
at
non-axisymmetric
stagnation
point
flows
sheet.
governing
equations
going
modeled
based
assumptions
been
stated.
Through
technique
known
as
similarity
transformation,
complex
system
nonlinear
partial
differential
reduced
ordinary
equations.
makes
significantly
easier
work
with.
algorithm
will
employed
afterward
numerically
solve
simplified
set
results
obtained
using
Runge–Kutta
(RK-IV)
shooting
method.
Graphical
displays
provide
an
easy
way
examine
how
different
parameters
interact
one
another
their
impacts.
With
increase
nanoparticle
concentration,
transfer
rate
shows
increasing
trend.
Due
decrease
instability
parameter,
decreases.
Velocity
profiles
increases
strain
rate.
A
comparison
influences
without
radiation
shown
tables,
highlighting
differences
Nusselt
numbers.
present
closely
correspond
those
reported
prior
publication
for
same
scenario,
offering
robust
additional
support
findings.
Numerical Heat Transfer Part B Fundamentals,
Год журнала:
2024,
Номер
unknown, С. 1 - 21
Опубликована: Май 22, 2024
The
aim
of
the
present
research
work
is
to
explore
a
numerical
study
on
MHD
Williamson
nanofluid
flow
through
Darcy-Forchheimer
porous
medium
confined
by
nonlinearly
stretching
flat
surface.
deleterious
impacts
thermal
radiation,
Soret,
and
Dufour
have
been
taken
into
careful
consideration
in
current
analysis.
Thermophoresis
Brownian
diffusion
are
phenomena
that
arise
from
presence
nanoparticles
base
fluid,
resulting
concentration
random
motion,
respectively.
nonlinear
partial
differential
equations
exert
control
converted
ordinary
means
appropriate
similarity
transformations.
resolved
applying
Runge-Kutta-Fehlberg
method
conjunction
with
shooting
technique.
graphical
findings
demonstrate
heightened
speed
liquid
relation
both
magnetic
field
porosity
factor,
as
it
simultaneously
exhibits
declining
pattern
regards
fluid
factor.
temperature
increases
accordance
elevated
radiation
levels,
thermophoresis
factors,
whereas
diminishes
correspondence
Prandtl
number.
intensifies
strength
Soret
number
activation
energy.
Drag
factor
reduced
strong
fields
has
opposite
behavior
inertial
force.
Heat
transfer
rate
inversely
related
numbers.
Increasing
chemical
reaction
results
enhancing
efficiency
mass
transfer,
declines
energy
factors
increase.
obtained
decent
agreement
when
assessed
earlier
published
literature.
Heliyon,
Год журнала:
2024,
Номер
10(6), С. e26779 - e26779
Опубликована: Март 1, 2024
The
study
focuses
on
the
instability
of
local
linear
convective
flow
in
an
incompressible
boundary
layer
caused
by
a
rough
rotating
disk
steady
MHD
viscous
nanofluid.
Miklavčič
and
Wang's
(Miklavčič
Wang,
2004)
[9]
MW
roughness
model
are
utilized
presence
Cu-water
nanofluid
with
enforcement
axial
flows.
This
will
investigate
characteristics
over
incorporate
effects
anisotropic
isotropic
surface
roughness.
resulting
ordinary
differential
equations
(ODEs)
obtained
using
von
Kàrmàn
(Kármán,
1921)
[3]
similarity
transformation
partial
(PDEs).
Subsequently,
numerical
solutions
shooting
method,
specifically
Runge-Kutta
technique.
Steady-flow
profiles
for
volume
fractions
nanoparticles
analyzed
partial-slip
conditions
Convective
stationary
modes
neutral
stability
curves
also
investigated
formulation
Linear
growth
rates
to
analyze
magnetic
fields
confirm
outcomes
this
analysis.
Stationary
disturbances
considered
energy
investigation
indicates
correlation
between
Type
I
II,
MHD,
nanoparticles,
critical
Reynolds
number.
An
integral
equation
enhances
comprehension
fundamental
physical
mechanisms.
factors
contributing
system
clarified
approach.
Case Studies in Thermal Engineering,
Год журнала:
2023,
Номер
47, С. 103059 - 103059
Опубликована: Май 12, 2023
In
the
current
investigation,
it
is
examined
numerically
entropy
generation
(EG)
on
inherent
irreversibility
motion
of
couple
stress
cold
liquid
with
porous
medium
via
Horizontal
channel
in
presence
viscous
dissipation.
Present
work
was
studied
heat
channel.
This
considerable
importance
many
industrial
applications
like
"Control
Mechanism
Material
Manufacturing",
"Manufactures
Electronic
Chips",
"Crystal
Formation",
"Scientific
Treatment
Problems
Irrigation",
"Soil
Erosion
and
tile
drainage"
are
present
focus
development
motion.
The
formulated
physical
equations
subsequently
calculated
by
shooting
technique
R-K-F
("Runge-Kutta
Fehlberg")
scheme.
velocity,
temperature
as
predicted
graphically.
we
found
velocity
dwindle,
high
production
an
escalating
statistical
value
K
("Couple
Stress
Parameter"),
Ec
("Eckert
number")
Q
("Heat
Generation
parameter")
respectively.
Gradient
constraint
addition
to
improve
enhancement
into
Bejan
number
for
various
values
"pressure
gradient
parameter".
Advances in Mechanical Engineering,
Год журнала:
2024,
Номер
16(1)
Опубликована: Янв. 1, 2024
The
comparative
analysis
of
non-Newtonian
nanofluids
with
Newtonian
conditions
are
addressed
in
this
research.
Oldroyd-B
and
Casson
fluids
adopted
as
the
(NNF).
generation
flow
is
due
to
bidirectionally
movement
magnetized
surface.
Radiation
chemical
reactive
processes
accounted
energy
mass
transportation
equations.
Buongiorno’s
theory
nanoparticles
developed
for
analysis.
basic
formulas
fluid
dynamics
incorporated
formulate
physical
model.
assumption
boundary-layer
utilized
simplification
mathematical
arising
nonlinear
model
three
independent
variables
converted
into
one
variable
using
similarity
constraints.
simplified
treated
analytically
through
implementation
homotopic
approach.
convergence
scheme
verified
numerical
benchmark
graphic
illustration.
results
versatile
constraints
on
quantities
numerically
graphically.
comparison
previous
published
outcomes
provided
limiting
Numerical Heat Transfer Part A Applications,
Год журнала:
2024,
Номер
unknown, С. 1 - 23
Опубликована: Апрель 1, 2024
This
article
delves
into
the
theoretical
analysis
of
hydromagnetic
bioconvection
involving
a
radiating
and
reacting
Casson
nanofluid
containing
motile
microorganisms,
past
an
exponentially
stretching
permeable
vertical
surface
within
porous
medium,
incorporating
heat
mass
transfer
characteristics.
The
model
problem's
nonlinear
differential
equations
are
derived
by
applying
relevant
conservation
laws
subsequently
solved
numerically
using
homotopy
method
(HAM).
graphical
representation
quantitative
discussion
effects
emerging
parameters
on
various
aspects,
including
velocity,
temperature
distribution,
nanoparticles,
gyrotactic
microorganisms
concentration,
skin
friction,
Nusselt
number,
Sherwood
number,and
Motile
density
number
presented.
findings
reveal
significant
influences
both
transference
rates,
as
well
microorganism
in
response
to
variations
parameters.
Additionally,
integration
microbes
nanoparticles
is
identified
crucial
factor
for
enhancing
thermal
performance
devices,
such
microbial
fuel
cells,
bacteria-activated
micromixers,
microfluidic
tools,
enzyme
biosensors,
chip-like
bio
microsystems.
bioengineering
implications
these
results
noteworthy,
providing
valuable
insights
design
optimization
technologies.