Page 108 - IJEEE-2023-Vol19-ISSUE-1
P. 108
104 | Abed, Wali, & Alaziz
describe the velocity and pressure propagation around the - Heat transfer equation ""& ""&
ball in the pipeline and connect it to heat transfer to compute "$" "%"
the temperature around the pipes and its transfer to the liquid ! #$! " ( &) + #! " (&) + )% ""&%* = , + -('! "& + ' +
in two cases: "! ! "$ "! !"
I) The pipeline's continuous flow of fluid with no leaks. (5)
II) The pipeline leaks a ball detector.
Fig. 4: The algorithm steps of solving the current model.
The CFD module calculates ball temperature by
analyzing velocity and pressure characteristics. Simulate Initial conditions for laminar flow are v=0 m/s and p=0
leak-caused noise using Acoustics and Vibrations. Pa, while boundary conditions include an inlet, exit, wall,
COMSOL Multiphysics has a tree-based model builder. and pressure point limitations owing to leaks. Initial heat
transfer conditions are 293.15 K, and boundary conditions
COMSOL Multiphysics was used to design this include fluid, thermal insulation, solid domain heat transfer,
self-driving ball's pipeline shape. The COMSOL CFD inflow, outflow, heat flux, and point heat source. Initial
module was used to model the velocity and pressure acoustic dispersion is at w=0 j/m3. The boundary condition
propagation around the ball inside the pipeline. Then it was is a leaky powerpoint. Reference temperature (293 K)
linked to heat transfer to compute the temperature around establishes fluid flow physical attributes (viscosity and
the tubes and its transmission to the liquid. pressure) and density distribution within the pipe. First, the
fluid flow (momentum transfer) is solved using the Navier
The ball's velocity, pressure, and temperature are all Stoke equation [10]. The thermal physical parameters
determined via the CFD module. The next step is to (thermal conductivity and heat capacity) are generated by
replicate the noise that is created by a leak using the reference temperature to solve the heat transfer equation
acoustics and vibrations module. COMSOL Multiphysics with the momentum transport equation; then the temperature
was used to build the pipeline form of this autonomous ball, distribution is gentle. The trial-and-error approach loops are
which represents a novel design in mobile inspection used based on the first phase where a new temperature
equipment. The ball itself is a revolutionary design. The distribution replaces a reference temperature, etc. New
COMSOL Computational Fluid Dynamics (CFD) module temperature implies new physical characteristics and
was then used to model the velocity and pressure velocity distribution; the cycle is continued until the error
propagation around the ball positioned inside the pipeline. residence is 0.1% or less. The acoustic pressure point creates
non-uniform distribution in the free stream as an extra sound
The CFD module is used to identify the velocity and power source within the momentum force.
pressure profiles located in the area around the moving ball,
in addition to the heat transfer used to compute the To simulate the fluid flow around the ball, a section of a
temperature. The next step is to use the acoustics and typical cylindrical pipeline model was developed having a
vibrations module to simulate the spread of noise created
when a leak occurs. The model under investigation
comprises the flow of fluid around a stationary spherical
ball placed within a pipeline, as well as the propagation of
sound created by an induced leak. To get an appropriate
comprehension of the collected data, Multiphysics was
included in the construction of the model. Fig. 4, depicts an
algorithm.
The use of single-phase laminar flow, where ยต is dynamic
viscosity, ? is density, U is used velocity, and F is applied
momentum force due to pressure sound at a specified point.
The continuity equation (1), consists of the conservation of
control volume mass with inflow and outflow transported
mass. Navier Stoke equation (2), refers to the equality of
inertia term to the sum of viscous force, gravity force, and
volume force due to the acoustic action.
- Fluid flow equations
) '*- . ( ,-) + /" . (,-) + ,1 ..21#( = - 34 + 0- +
.- - .0 3-
.$/# ..$1/$#)
1(5- ./# + 5 .0$ + (2)
.- -$
8 :% 8 88:;%( <=
2 '37 87 ( 49) + 7 89 (49) + 4; = - <9 + 59 +
6(57 8:% + 5 8$>:% + 88$;:$%) (3)
87 7$ 89$
8 :% 8 88:;&( <=
2 '37 87 ( 4;) + 7 89 (4;) + 4; = - <; + 5; +
6(57 8:& + 5 8$>:& + 88$;:$&) (4)
87 7$ 89$
