Solution of magnetohydrodynamic flow and heat transfer of radiative viscoelastic fluid with temperature dependent viscosity in wire coating analysis
March
Solution of magnetohydrodynamic flow and heat transfer of radiative viscoelastic fluid with temperature dependent viscosity in wire coating analysis
Zeeshan Khan 1 2
Muhammad Altaf Khan 2
Nasir Siddiqui 0 2
Murad Ullah 2
Qayyum Shah 2
0 Department of Basic Sciences, University of Engineering and Technology , Taxila , Pakistan , 4 Department of Mathematics, Islamia College University of Peshawar, Khyber Pakhtunkhwa, Pakistan, 5 Department of Basic Science and Islamiat, University of Engineering and Technology Peshawar , Khyber Pakhtunkhwa , Pakistan
1 Department of computer Science, Sarhad University of Science and Information Technology , Peshawar , Pakistan , 2 Department of Mathematics, City University of Science and IT , Peshawar , Pakistan
2 Editor: Mohammad Mainul Hoque, Universitty of Newcastle , AUSTRALIA
Wire coating process is a continuous extrusion process for primary insulation of conducting wires with molten polymers for mechanical strength and protection in aggressive environments. In the present study, radiative melt polymer satisfying third grade fluid model is used for wire coating process. The effect of magnetic parameter, thermal radiation parameter and temperature dependent viscosity on wire coating analysis has been investigated. Reynolds model and Vogel's models have been incorporated for variable viscosity. The governing equations characterizing the flow and heat transfer phenomena are solved analytically by utilizing homotopy analysis method (HAM). The computed results are also verified by NDSolve method (Numerical technique) and Adomian Decomposition Method (ADM). The effect of pertinent parameters is shown graphically. In addition, the instability of the flow in the flows of the wall of the extrusion die is well marked in the case of the Vogel model as pointed by Nhan-Phan-Thien.
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Data Availability Statement: All the relevant data
lies inside the paper.
Funding: The authors received no specific funding
for this work.
Competing interests: The authors have declared
that no competing interests exist.
Introduction
Investigation on the boundary-layer behavior of a viscoelastic fluid over a continuously
stretching surface has many important applications in the extrusion of polymers, the treatment
of plastic films and applications. Increasingly important applications of these industrial
processes have led to renewed interest in the study of viscous fluid flows and heat transfer in the
coating process. Metal coating is an industrial process for insulation isolation, environmental
protection, mechanical deterioration and protection against signal attenuation. The simple
and suitable process for wire coating is the coaxial extrusion process [1±4]. In wire coating,
wire drawing rate, temperature and quality of materials are important parameters. Different
types of fluids are used for coating which depends on die geometry, fluid viscosity,
temperature, and molten polymer. Considerable attention has been paid to the Newtonian
fluid to investigate the heat transfer analysis effect. However, less attention has been given to
the study of non-Newtonian fluids [5±10]. However, some studies are listed to illustrate
broader research [11±18].
Fig 1 shows the experimental setup of the wire coating process [
19
]. In this process, the
uncoated film comes off through a payoff reel through a straightener, a preheater, then it
meets the polymer comes out of the extruder and gets coated.
This coating then passes through a cooler, a capstan and a test device and ends with the
rotating device. The extrusion process is simple to apply, time saving and economical for
industrial applications. Fata et al. [
20
], Siddiqui et al. [
21
], Tadmor and Gogod [
22
] used the
extrusion process using third grade fluid for coating wires. Third grade fluid consider here
used a coating material have industrial importance.
Hayat et al. [
23
] studied an axisymmetric MHD flow of a third grade fluid by a drawing
cylinder. MHD unsteady flow of a third grade fluid has been investigated by Shuaib et al. [
24
]
through a vertical belt. The hydromagnetic flow of a third grade fluid has been studied by
Chinyoka and Makinde [
25
] with variable viscosity.
In manufacturing process final product greatly depend on the cooling rate. The central
cooling system is beneficial to facilitate the process for the additional product. An electro
conductive polymeric liquid seems to be a good candidate for industrial applications like in
polymerization technology and extrusion processes, as the flow can be regulated by the magnetic
field as well as porous matrix. The porous medium and the applied magnetic field can play an
important role in the boundary layer flow for controlling momentum and heat transfer for
different fluid used as coating material for wire coating process. In view of the above motivation
many researchers used the magnetic field as well as porous matrix for different Newtonian and
non-Newtonian fl (...truncated)