A novel investigation into time-fractional multi-dimensional Navier–Stokes equations within Aboodh transform
Open Physics,
Год журнала:
2024,
Номер
22(1)
Опубликована: Янв. 1, 2024
Abstract
This
investigation
explores
the
analytical
solutions
to
time-fractional
multi-dimensional
Navier–Stokes
(NS)
problem
using
advanced
approaches,
namely
Aboodh
residual
power
series
method
and
transform
iteration
method,
within
context
of
Caputo
operator.
The
NS
equation
governs
motion
fluid
flow
is
essential
in
dynamics,
engineering,
atmospheric
sciences.
Given
equation’s
extensive
diverse
applicability
across
several
disciplines,
we
are
motivated
conduct
a
thorough
analysis
understand
complex
dynamics
associated
with
nonlinear
events
it
describes.
For
this
purpose,
effectively
handle
challenges
posed
by
fractional
derivatives
utilizing
approach.
will
enable
us
obtain
accurate
approximations
for
time
equation.
By
conducting
computational
simulations,
provide
evidence
efficiency
dependability
suggested
methodologies
accurately
representing
dynamic
behavior
systems.
work
enhances
our
comprehension
utilization
calculus
provides
valuable
instruments
examining
intricate
phenomena.
Its
interdisciplinary
nature
ensures
that
findings
applicable
various
scientific
engineering
fields,
making
research
highly
versatile
impactful.
Язык: Английский
Significance of Cattaneo–Christov heat flux theory and convective heat transport on Maxwell nanofluid flow
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Год журнала:
2024,
Номер
104(10)
Опубликована: Авг. 24, 2024
Abstract
Recently,
nanofluids,
which
are
solutions
of
fluids
mixed
with
suspended
nano‐particles,
for
instance,
carbon
nanotubes,
metals,
and
metal
oxides,
have
become
a
favorable
alternative
to
conventional
coolants.
Caused
by
their
outstanding
thermal
performance
conductivity,
nanofluids
extensively
used
in
battery‐operated
drums,
thermoelectric
producers,
solar
power.
The
suspension
minor
solid
components
energy
dispersion
boosts
enactment
conductivity
gives
an
economical
resourceful
method
increase
transfer
properties
heat
significantly.
Furthermore,
additions
numerous
engineering
mechanical
matters,
electrical
kit
conserving,
exchangers,
chemical
progressions,
uses
nanofluid.
Here,
the
purpose
this
work
is
elaborate
on
flow
Maxwell
nanofluid
considering
reactions
sink/source.
mathematical
structure
established
presence
Brownian
movement
thermophoresis
effects.
remarkable
aspects
non‐Fourier
flux
also
considered
transport
phenomenon
convective
conditions.
similarity
alterations
change
partial
differential
equations
(PDEs)
into
ordinary
(ODEs).
obtained
expressions
ODEs
solved
numerically
via
bvp4c
approach.
graphical
sketches
display
declining
behavior
factor
velocity;
however,
same
impacts
examined
factors.
Schmidt
reaction
factors
decline
concentration
field
Язык: Английский
Temporal Fractionation Models for Depicting Mass Transfer Limiting Conditions of Multispecies Transport in Porous Media
Groundwater for Sustainable Development,
Год журнала:
2025,
Номер
unknown, С. 101438 - 101438
Опубликована: Март 1, 2025
Язык: Английский
Design of neural networks to study the significance of induced magnetic field considering Darcy–Forchheimer flow of Casson fluid
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Год журнала:
2025,
Номер
105(1)
Опубликована: Янв. 1, 2025
Abstract
Nowadays,
Casson
fluid
has
been
broadly
used
in
plasma,
sweetie,
coffee,
and
several
polymer
solutions,
for
which
the
analysis
of
its
essential
flow
transport
heat
devices
multifaceted
surroundings
is
energetic
importance.
One
exclusive
specific
exceptional
aspects
yield
stress.
The
works
similarly
to
a
dense
when
shear
power
less
than
stress,
whereas
it
collapses
arises
once
above
This
benefits
describing
fluids
with
unbounded
viscosity
at
nil
rate
rate,
fascinated
greatly
consideration.
Here,
via
Darcy–Forchheimer
considering
induced
magnetic
effects
studied
by
utilizing
finite
element
method
(FEM).
similarity
alterations
are
exploited
convert
partial
differential
equations
(ODEq)
into
ordinary
(ODEq).
A
transformed
FEM
an
appropriate
scheme
interpolation
executed,
exhausting
linear
polynomials
derivatives
attained
solutions
be
established.
Furthermore,
working
based
on
weighted
residual
Galerkin
method.
observed
progressive
values
factor
rise
that
velocity
field.
For
authentication
aims,
fallouts
associated
those
obtained
results
given
past
study
different
methodologies.
Moreover,
neural
network
tactic
input
aims
obtain
reduced
ODEq.
Язык: Английский
Significant properties of AA7075-methanol nanofluid flow through diverging channel with porous material: Differential Transform Method
Partial Differential Equations in Applied Mathematics,
Год журнала:
2024,
Номер
12, С. 100993 - 100993
Опубликована: Ноя. 10, 2024
Язык: Английский