MHD Flow and Heat Transfer Analysis in the Wire Coating Process Using Elastic-Viscous
Source abstract
Abstract
The most important plastic resins used for wire coating are polyvinyl chloride (PVC), nylon, polysulfone, and low-/high-density polyethylene (LDPE/HDPE). In this article, the coating process is performed using elastic-viscous fluid as a coating material for wire coating in a pressure type coating die. The elastic-viscous fluid is electrically conducted in the presence of an applied magnetic field. The governing non-linear equations are modeled and then solved analytically by utilizing an Adomian decomposition method (ADM). The convergence of the series solution is established. The results are also verified by Optimal Homotopy Asymptotic Method (OHAM). The effect of different emerging parameters such as non-Newtonian parameters α and β, magnetic parameter Mand the Brinkman number Br on solutions (velocity and temperature profiles) are discussed through several graphs. Additionally, the current results are compared with published work already available.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nanofluid Flow and Heat Transfer · Fractional Differential Equations Solutions · Heat Transfer and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Sarhad University of Science and Information Technology, Peshawar, KP 25000, Pakistan
Department of Mathematics, University of Engineering and Technology, Peshawar, KP 25000, Pakistan
Department of Mathematics, Abdul Wali Khan University, Mardan, KP 25000, Pakistan
Department of Physics, Abdul Wali Khan University, Mardan, KP 25000, Pakistan
Funding
Zeeshan
References (46)
Show source-provided references
1. The rheology of wire coating extrusion10.1002/pen.760181309 ↗
2. Nayak, M.K. (2015). Wire Coating Analysis, India Tech. [2nd ed.].
3. Wire coating die using finite element methods10.1002/pen.760180514 ↗
4. Tucker, C.L. (1989). Computer Modeling for Polymer Processing, Hanser.
5. Analysis of polymer flow in a canonical coating unit: Power law approach10.1016/S0300-9440(99)00045-4 ↗
6. Monaghan, J., and Lyons, C.G. (1997). Sustainable Technology in Manufacturing Industries, Proceedings of the fourteenth Conference of the Irish Manufacturing Committee, 3–5 September 1997, Trinity College.
7. Wire coating extrusion in a pressure-type die in the flow of a third grade fluid
8. Analytical methods of wire coating die design
9. Optimal homotopy asymptotic method solution of unsteady second grade fluid in wire coating analysis
10. Exact solution of differential equation arising in the wire coating analysis of an unsteady second grad fluid10.1016/j.mcm.2012.10.031 ↗
11. Analytical solutions for heat transfer flows of a third Grade fluid in case of post-treatment of wire coating
12. Heat transfer by laminar flow of an elastico-viscous fluid in post treatment analysis of wire coating with linearly varying temperature along the coated wire10.1007/s00231-011-0934-1 ↗
13. Fluid flow and heat transfer in wire coating: A review10.1002/adv.1986.060060405 ↗
14. Analytical solution for fully developed channel and pipe flow of Phan-Thien, Tanner fluids10.1017/S002211209900453X ↗
15. A new constitutive equation derived from network theory10.1016/0377-0257(77)80021-9 ↗
16. Post-treatment of polymer extrudate in wire coating
17. Effect of die design on the analysis of wire coating10.1002/adv.1985.060050404 ↗
18. Bagley, E.B., and Storey, S.H. (1963). Wire Wire Prod., 38, 1104–1122.
19. Analysis of forced convection in pipes and channels with simplified Phan-Thien-Tanner fluid10.1016/S0017-9310(99)00303-8 ↗
20. Wire coating analysis with Oldroyd 8-constant fluid by optimal homotopy asymptotic method10.1016/j.camwa.2011.11.033 ↗
21. Buoyancy force and thermal radiation effects in MHD boundary layer viscoelastic fluid flow over continuously moving stretching surface10.1016/j.ijthermalsci.2004.08.005 ↗
22. Flow of non-Newtonian fluids in a magnetic field10.1002/aic.690070231 ↗
23. Abel, M.S., Shinde, J.V., and Shinde, J.N. (2012). The effects of MHD flow and heat transfer for the UCM fluid over a stretching surface in presence of thermal radiation. Adv. Math. Phys., 702681.10.1155/2012/702681 ↗
24. On the analytical solution of MHD flow and heat transfer for two types of viscoelastic fluid over a stretching sheet with energy dissipation, internal heat source and thermal radiation10.1016/j.ijheatmasstransfer.2010.05.053 ↗
25. Numerical analysis of magnetic field effects on Eyring-Powell fluid flow towards a stretching sheet10.1016/j.jmmm.2015.01.088 ↗
26. MHD boundary layer flow and heat transfer of nanofluids over a nonlinear stretching sheet10.1016/j.jmmm.2014.09.013 ↗
27. MHD flow and heat transfer for Maxwell fluid over an exponentially stretching sheet with variable thermal conductivity in porous medium
28. Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid10.1016/j.ijengsci.2007.04.009 ↗
29. Fluctuating flow of a Maxwell fluid past a porous plate with variable suction10.1016/j.nonrwa.2007.02.016 ↗
30. Study of stream wise transverse magnetic fluid flow with heat transfer around an obstacle embedded in a porous medium10.1016/j.jmmm.2014.11.020 ↗
31. The blood flow of Prandtl fluid through a tapered stenosed arteries in permeable walls with magnetic field10.1088/0253-6102/63/3/353 ↗
32. Simulation of ferrofluid flow for magnetic drug targeting using the lattice Boltzmann method10.1515/zna-2014-0258 ↗
33. Homotopy analysis of MHD flows of an Oldroyd 8-contant fluid10.1007/s00707-004-0085-2 ↗
34. Exact solutions for flow of an oldroyd 8-contant fluid with non-linear slip conditions10.1016/j.cnsns.2009.04.004 ↗
35. Flow of an Oldroyd 8-constant fluid in a convergent channel10.1007/BF01183673 ↗
36. On the analytic solution of non-linear flow problem involving Oldroyd 8-constant fluid10.1016/j.mcm.2007.12.017 ↗
37. Theoretical and Numerical Studies of Noncontinuum Gas-Phase Heat Conduction in Micro/Nano Devices10.1080/10407791003749159 ↗
38. Multiple temperature kinetic model and its applications to micro-scale gas flows10.1016/j.compfluid.2012.07.006 ↗
39. Review of the decomposition method and some recent results for non-linear equations
40. Adomiandecomposition method for a reliable treatment of the Bratu-type equations10.1016/j.amc.2004.06.059 ↗
41. Adomian decomposition method for a reliable treatment of the Emden–Fowler equation10.1016/j.amc.2003.12.048 ↗
42. Double-layer Optical Fiber Coating Analysis by Withdrawal from a Bath of Oldroyd 8-constant Fluid
43. Gul, T., Shah, R.A., Islam, S., and Arif, M. (2013). MHD thin film flows of a third grade fluid on a vertical belt with slip boundary conditions. J. Appl. Math., 707286.10.1155/2013/707286 ↗
44. Optimal homotopy asymptotic method with application to thin film flow
45. Application of Optimal Homotopy Asymptotic Method for solving non-linear equations arising in heat transfer10.1016/j.icheatmasstransfer.2008.02.010 ↗
46. An Optimal HomotopyAsymptotic Method applied to the steady flow of a fourth grade fluid past a porous plate10.1016/j.aml.2008.03.019 ↗