Rheological analysis on non-Newtonian wire coating
- 70 Downloads
In the present paper, wire coating process using viscoelastic non-Newtonian fluid is investigated along the effects of heat transfer, Joule heating and magnetohydrodynamic fluid flow. Temperature-dependent variable viscosity models are used. The boundary layer equations governing the flow and heat transfer phenomena are solved by applying powerful numerical technique. The notable aspect of the present study is to include porous matrix, which acts as an insulator to prevent heat loss. Similarly, the impact of heat generation is discussed because it controls heat transfer rates. The influence of non-Newtonian parameter, magnetic parameter, permeability parameter, heat generation/absorption parameter, etc. on wire coating is analyzed by graphs.
KeywordsNon-Newtonian wire coating Viscoelastic fluid model Magnetohydrodynamic flow Heat generation/absorption Spongy medium
Many fluids dealt by engineers and scientist, such as air, water and oil can be regarded as Newtonian fluids. However, in many cases, the premise of Newtonian behavior is not rational and rather more complex so non-Newtonian response must be molded. Many fluid materials such as glue, custard, paint, blood and ketchup present non-Newtonian fluid behavior. Due to its wide range of applications in industry, chemical engineering, petroleum engineering, etc., it has gained a lot of importance by many researchers [1, 2, 3, 4, 5, 6, 7, 8]. Ellahi et al.  studied non-Newtonian micropolar fluid in arterial blood flow through composite stenosis. Among these non-Newtonian fluids, one is Eyring–Powell fluid, it was firstly introduced by Eyring and Powell in 1944. Researchers [10, 11, 12, 13, 14] have discussed various aspects of Eyring–Powell fluid.
It consists of a payoff device, straightener, preheater, extruder device and die, cooling device, capstan, tester and a take-up reel. In this process, the uncoated wire is rolled on the payoff device which passes through straighter, then, temperature is given to the wire through preheater, and a crosshead die contains a canonical die where it assembles the melt polymer and gets coated. After it, this coated wire is cooled by cooling device and then passes along a capstan and a tester, and at the end, coated wire is winded at take-up reel. Many researchers [15, 16, 17, 18, 19, 20, 21, 22, 23] investigated wire coating phenomena using different non-Newtonian fluids.
In magnetohydrodynamic, the applied magnetic field produces current due to its Lorentz force, which affects fluid motion impressively. These days, magnetohydrodynamic has become an important topic for research due to its usage at high rate in numerous industrial processes like magnetic field material processing and glass manufacturing. Magnetohydrodynamic treats the electrically conducting fluid flows in the existence of magnetic field. Many researchers [24, 25, 26, 27, 28, 29, 30] remit appreciable regard to the study of magnetohydrodynamic flow problems.
Fluid flow in porous media has great importance for researchers due to its wide range of applications in engineering field. Carbonated rocks, wood, metal foams, etc. are various well-known forms of porous media. These days, a very thin porous layer has been used in many industrial and domestic applications such as filters, printing papers, fuel cells and batteries. Many researchers [31, 32, 33, 34] also paid a lot of attention to porous media.
The interest in heat transfer of non-Newtonian fluid flows is increasing with the passage of time due to its usage in various industries. Rehman and Nadeem  carried out heat transfer analysis for three-dimensional stagnation point flow. Ahmed and many other researchers [36, 37, 38, 39, 40] discussed the impact of heat transfer analysis and magnetohydrodynamic fluid.
To the best of authors’ knowledge, no one has still studied wire coating process using magnetohydrodynamic flow of viscoelastic Eyring–Powell fluid as coating material. The objective of the present work is to discuss the process of wire coating with the effects of heat generation and porous media with temperature-dependent variable viscosity using Reynolds and Vogel’s model.
2 Modeling of wire coating
3 Constant viscosity
4 Reynolds model
5 Vogel’s model
6 Numerical solution
6.1 Constant viscosity
6.2 Reynolds model
6.3 Vogel’s model
7 Graphical results and discussions
8 Concluding remarks
The velocity of fluid shows upward behavior by increase in the value of ɛ, M, Br, N and D and presents decreasing behavior due to increase in value of Kp, Q and ɛ.
The temperature profile shows flourishing behavior for blowing up in the value of ɛ and M and decreasing behavior for the value Br, Q and ɛ.
- 12.Ijaz S, Nadeem S (2017) A balloon model examination with impulsion of Cu-nanoparticles as drug agent through stenosed tapered elastic artery. J Appl Fluid Mech 10(6):1773–1783Google Scholar
- 16.Bagley EB, Storey SH (1963) Share rates and velocities of flow of polymers in wire-covering dies. Wire Wire Prod 38(8):1104Google Scholar
- 18.Mahanthesh B, Gireesha BJ, Gorla RSR (2017) Unsteady three-dimensional MHD flow of a nano Eyring–Powell fluid past a convectively heated stretching sheet in the presence of thermal radiation, viscous dissipation and Joule heating. J Assoc Arab Univ Basic Appl Sci 23:75–84Google Scholar
- 23.Nadeem S (2017) Biomedical theoretical investigation of blood mediated nanoparticles (Ag–Al2O3/blood) impact on hemodynamics of overlapped stenotic artery. J Mol Liq 24:809–819Google Scholar
- 26.Muhammad N, Nadeem S, Mustafa MT (2018) Impact of magnetic dipole on a thermally stratified ferrofluid past a stretchable surface. Proc Inst Mech Eng Part E J Process Mech Eng 1:1989–1996Google Scholar
Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.