Heliyon,
Journal Year:
2024,
Volume and Issue:
10(15), P. e34888 - e34888
Published: July 22, 2024
This
study
employs
the
Hybrid
Analytical-Numerical
(HAN)
method
to
investigate
steady
two-dimensional
magnetohydrodynamic
(MHD)
nanofluid
flow
over
a
permeable
wedge.
Analyzing
hyperbolic
tangent
flow,
governing
time-independent
partial
differential
equations
(PDEs)
for
continuity,
momentum,
energy,
and
concentration
transform
into
set
of
nonlinear
third-order
coupled
ordinary
(ODEs)
through
similarity
transformations.
These
ODEs
encompass
critical
parameters
such
as
Lewis
Prandtl
numbers,
Brownian
diffusion,
Weissenberg
number,
thermophoresis,
Dufour
Soret
magnetic
field
strength,
thermal
radiation,
power
law
index,
medium
permeability.
The
explores
how
variations
in
these
impact
velocity
field,
skin
friction
coefficient,
Nusselt,
Sherwood
numbers.
Noteworthy
findings
include
sensitivity
fluid
like
wedge
angle,
permeability,
melting
heat
transfer.
coefficient
experiences
significant
increase
with
specific
parameter
changes,
while
Nusselt
numbers
remain
relatively
constant.
local
Reynolds
number
significantly
affects
less
pronounced
on
coefficient.
study's
uniqueness
lies
employing
analytical
HAN
extracting
recent
insights
from
results.
Scientific Reports,
Journal Year:
2025,
Volume and Issue:
15(1)
Published: Feb. 8, 2025
This
article
investigates
solar
energy
storage
due
to
the
Jeffrey
hybrid
nanofluid
flow
containing
gyrotactic
microorganisms
through
a
porous
medium
for
parabolic
trough
collectors.
The
mechanism
of
thermophoresis
and
Brownian
motion
graphene
silver
nanoparticles
are
also
encountered
in
suspension
water-based
heat
transfer
fluid.
have
ability
move
an
upward
direction
mixture,
which
enhances
nanoparticle
stability
fluid
mixing
suspension.
Mathematical
modeling
governing
equations
uses
conservation
principles
mass,
momentum,
energy,
concentration,
microorganism
concentration.
non-similar
variables
introduced
dimensional
get
non-dimensional
ordinary
differential
equations.
Cash
Carp
method
is
implemented
solve
artificial
neural
network
developed
using
Levenberg
Marquardt
algorithm.
Numerical
findings
corresponding
diverse
parameters
influencing
presented
graphs.
thermal
profiles
observed
be
enhanced
with
escalation
Darcy
Forchheimer
parameters.
And
Nusselt
number
Deborah
retardation
time
parameter.
Entropy
generation
reduces
enhancement
Solar
best
renewable
source.
It
can
fulfill
requirements
growth
industries
engineering
applications.
Mathematical Methods in the Applied Sciences,
Journal Year:
2025,
Volume and Issue:
unknown
Published: Feb. 17, 2025
ABSTRACT
In
the
present
investigation,
a
mathematical
model
with
vaccination,
treatment,
and
environmental
impact
under
real
data
is
presented.
Initially,
we
without
any
interventions,
followed
by
an
examination
of
its
equilibrium
points.
The
stability
analysis
indicates
confirmation
local
asymptotical
disease‐free
(DFE),
,
whenever
.
Moreover,
demonstrate
global
for
We
also
investigate
endemic
equilibria
show
that
there
exists
unique
equilibrium,
which
confirms
does
not
exhibit
backward
bifurcation.
Utilizing
TB
from
Pakistan
(Khyber
Pakhtunkhwa)
over
specific
timeframe,
parameterize
accordingly.
perform
sensitivity
to
assess
parameters
on
results
depicted
graphically.
Subsequently,
extend
include
vaccination
optimal
control
framework,
deriving
relevant
outcomes.
numerical
solutions
are
presented
various
strategies,
demonstrating
simultaneous
activation
all
four
controls
yields
effective
in
managing
TB.
strategies
management
through
framework
shown.
reveal
controls,
awareness,
screening,
pathogens
clearance,
simultaneously
yield
most
reduction
both
exposed
infected
cases,
highlighting
necessity
integrated
approach
prevention
control.
