Numerical and analytical study of heat transfer in the wire coating process using Carreau–Yasuda fluid model

References

• C. D. Han and D. Rao, “Studies on wire coating extrusion. I. The rheology of wire coating extrusion,” Polym. Eng. Sci., vol. 18, no. 13, pp. 1019–1029, 1978. DOI: 10.1002/pen.760181309.
   Web of Science ®Google Scholar
• C. D. Han, Rheology and Processing of Polymeric Materials, Volume 1: Polymer Technology. New York, NY, USA: Oxford University Press, 2006.
   Google Scholar
• S. Middleman, Fundamentals of Polymer Processing. New York, NY, USA: McGraw-Hill, 1977.
   Google Scholar
• S. Akter and M. S. Hashmi, “Analysis of polymer flow in a conical coating unit: a power law approach,” Prog. Org. Coat., vol. 37, no. 1–2, pp. 15–22, 1999. DOI: 10.1016/S0300-9440(99)00045-4.
   Web of Science ®Google Scholar
• S. Akter and M. S. J. Hashmi, “Wire drawing and coating using a combined geometry hydrodynamic unit,” J. Mater. Process. Technol., vol. 178, no. 1–3, pp. 98–110, 2006. DOI: 10.1016/j.jmatprotec.2006.02.010.
   Web of Science ®Google Scholar
• M. Kasajima and K. Ito, “Post-treatment of polymer extrudate in wire coating,” Appl. Polym. Symp., vol. 221, pp. 221–235, 1972.
   Google Scholar
• Z. Tadmor and R. B. Bird, “Rheological analysis of stabilizing forces in wire-coating dies,” Polym. Eng. Sci., vol. 14, no. 2, pp. 124–136, 1974. DOI: 10.1002/pen.760140208.
   Web of Science ®Google Scholar
• M. S. J. Hashmi, G. R. Symmons and H. Parvinmehr, “A novel technique of wire drawing,” J. Mech. Eng. Sci., vol. 24, no. 1, pp. 1–4, 1982. DOI: 10.1243/JMES_JOUR_1982_024_003_02.
   Google Scholar
• E. Mitsoulis, “Fluid flow and heat transfer in wire coating: a review,” Adv. Polym. Technol., vol. 6, no. 4, pp. 467–487, 1986. DOI: 10.1002/adv.1986.060060405.
   Google Scholar
• B. Caswell and R. J. Tanner, “Wire coating die using finite element methods,” Polym. Eng. Sci., vol. 18, no. 5, pp. 417–421, 1978. DOI: 10.1002/pen.760180514.
   Web of Science ®Google Scholar
• R. Wagner and E. Mitsoulis, “Effect of die design on the analysis of wire coating,” Adv. Polym. Technol., vol. 5, no. 4, pp. 305–325, 1985. DOI: 10.1002/adv.1985.060050404.
   Google Scholar
• J. F. Carley, T. Endo and W. Krantz, “Realistic analysis of flow in wire coating dies,” Polym. Eng. Sci., vol. 19, no. 16, pp. 1178–1187, 1979. DOI: 10.1002/pen.760191609.
   Web of Science ®Google Scholar
• E. B. Bagley and S. H. Storey, “Processing of thermoplastic materials,” Wire Wire Prod., vol. 38, no. 7, pp. 1104–1122, 1963.
   Google Scholar
• R. T. Fenner and J. G. Williams, “Analytical methods of wire coating die design,” Trans. Plast. Inst., vol. 35, pp. 701–706, 1967.
   Google Scholar
• H. Matallah, P. Townsend and M. F. Webster, “Viscoelastic multi-mode simulations of wire-coating,” J. Nonnewton. Fluid Mech., vol. 90, no. 2–3, pp. 217–241, 2000. DOI: 10.1016/S0377-0257(99)00079-8.
   Web of Science ®Google Scholar
• H. Matallah, A. Baloch, V. Ngamaramvaranggul and M. F. Webster, “Simulation of pressure and tube-tooling wire-coating flows through distributed computation,” Int. J. Num. Meth. Heat Fluid Flow, vol. 12, no. 4, pp. 458–493, 2002. DOI: 10.1108/09615530210433305.
   Web of Science ®Google Scholar
• V. Ngamaramvaranggul and M. F. Webster, “Computation of free surface flows with a Taylor–Galerkin/pressure-correction algorithm,” Int. J. Numer. Meth. Fluids, vol. 33, no. 7, pp. 993–1026, 2000.
   Web of Science ®Google Scholar
• V. Ngamaramvaranggul and M. F. Webster, “Simulation of pressure-tooling wire-coating flow with Phan-Thien/Tanner models,” Numer. Meth. Fluids, vol. 38, no. 7, pp. 677–710, 2002. DOI: 10.1002/fld.237.
   Web of Science ®Google Scholar
• M. Sajid, A. M. Siddiqui and T. Hayat, “Wire coating analysis by withdrawal from a bath of Sisko fluid,” J. Appl. Math. Comp., vol. 199, no. 1, pp. 13–22, 2008. DOI: 10.1016/j.amc.2007.09.032.
   Google Scholar
• M. Sajid, A. M. Siddiqui and T. Hayat, “Wire coating analysis using MHD Oldroyd 8-constant fluid,” Int. J. Eng. Sci., vol. 45, no. 2–8, pp. 381–392, 2007. DOI: 10.1016/j.ijengsci.2007.04.010.
   Web of Science ®Google Scholar
• A. M. Siddiqui, M. Sajid and T. Hayat, “Wire coating by withdrawal from a bath of fourth order fluid,” Phys. Lett. A, vol. 372, no. 15, pp. 2665–2670, 2008. DOI: 10.1016/j.physleta.2007.12.034.
   Web of Science ®Google Scholar
• R. A. Shah, S. Islam, A. M. Siddiqui and T. Haroon, “Wire coating analysis with Oldroyd 8-constant fluid by optimal homotopy asymptotic method,” Comp. Math. Appl., vol. 63, no. 3, pp. 695–707, 2012. DOI: 10.1016/j.camwa.2011.11.033.
   Web of Science ®Google Scholar
• R. A. Shah, S. Islam, M. Ellahi, A. M. Siddiqui and T. Haroon, “Analytical solutions for heat transfer flows of a third grade fluid in post-treatment of wire coating,” Int. J. Phys. Sci., vol. 6, no. 17, pp. 4213–4223, 2011. DOI: 10.5897/IJPS11.667.
   Google Scholar
• R. A. Shah, S. Islam and A. M. Siddiqui, “Exact solution of a differential equation arising in wire coating analysis of unsteady second grade fluid,” Math. Comput. Model., vol. 57, no. 5–6, pp. 1284–1288, 2013. DOI: 10.1016/j.mcm.2012.10.031.
   Google Scholar
• E. Barić and H. Steiner, “Flow and heat transfer of non-Newtonian fluids in enameling dies,” Chem. Eng. Sci., vol. 129, pp. 135–144, 2015. DOI: 10.1016/j.ces.2015.02.040.
   Web of Science ®Google Scholar
• M. K. Nayak, G. C. Dash and L. P. Singh, “Steady MHD flow and heat transfer of a third grade fluid in wire coating analysis with temperature dependent viscosity,” Int. J. Heat Mass Transf., vol. 79, pp. 1087–1095, 2014. DOI: 10.1016/j.ijheatmasstransfer.2014.08.057.
   Web of Science ®Google Scholar
• M. A. Javed, N. Ali and T. Hayat, “Wire coating by withdrawal from a bath of Phan-Thien-Tanner fluid,” Can. J. Chem. Eng., vol. 93, no. 11, pp. 2070–2076, 2015. DOI: 10.1002/cjce.22291.
   Web of Science ®Google Scholar
• N. Ali and M. A. Javed, “Effects of temperature-dependent properties on wire-coating from a bath of FENE-P fluid,” Int. J. Heat Mass Transf., vol. 103, pp. 401–410, 2016. DOI: 10.1016/j.ijheatmasstransfer.2016.07.072.
   Web of Science ®Google Scholar
• N. Ali, M. A. Javed, O. A. Bég and T. Hayat, “Mathematical model for isothermal wire-coating from a bath of Giesekus viscoelastic fluid,” Chem. Eng. Commun., vol. 203, no. 10, pp. 1336–1348, 2016. DOI: 10.1080/00986445.2016.1194272.
   Web of Science ®Google Scholar
• A. Riaz, H. A. Al-Olayan, A. Zeeshan, A. Razaq and M. M. Bhatti, “Mass transport with asymmetric peristaltic propulsion coated with synovial fluid,” Coatings, vol. 8, no. 11, pp. 407, 2018. DOI: 10.3390/coatings8110407.
   Web of Science ®Google Scholar
• R. Ellahi, A. Zeeshan, F. Hussain and T. Abbas, “Thermally charged MHD bi-phase flow coatings with non-Newtonian nanofluid and hafnium particles along slippery walls,” Coatings, vol. 9, no. 5, pp. 300, 2019. DOI: 10.3390/coatings9050300.
   Web of Science ®Google Scholar
• R. Ellahi, A. Zeeshan, F. Hussain and T. Abbas, “Study of shiny film coating on multi-fluid flows of a rotating disk suspended with nano-sized silver and gold particles: a comparative analysis,” Coatings, vol. 8, no. 12, pp. 422, 2018. DOI: 10.3390/coatings8120422.
   Web of Science ®Google Scholar
• N. Shehzad, A. Zeeshan, M. Shakeel, R. Ellahi and S. M. Sait, “Effects of magnetohydrodynamics flow on multilayer coatings of Newtonian and non-Newtonian fluids through porous inclined rotating channel,” Coatings, vol. 12, no. 4, pp. 430, 2022. DOI: 10.3390/coatings12040430.
   Web of Science ®Google Scholar
• N. Ijaz, A. Riaz, A. Zeeshan, R. Ellahi and S. M. Sait, “Buoyancy driven flow with gas-liquid coatings of peristaltic bubbly flow in elastic walls,” Coatings, vol. 10, no. 2, pp. 115, 2020. DOI: 10.3390/coatings10020115.
   Web of Science ®Google Scholar
• N. Rathore and N. Sandeep, “A modified thermal flux model to examine the enhanced heat transmission in hybrid blood flow through artery: a comparison between Maxwell and Oldroyd-B models,” Proc. Inst. Mech. Eng. E: J. Process Mech. Eng., vol. 237, pp. 1846-1853, 2022. DOI: 10.1177/09544089221128367.
   Web of Science ®Google Scholar
• N. Rathore and N. Sandeep, “A relative study on blood-based cross ferrofluid flow over a stenosis artery,” Waves Random Complex Media, pp. 1–20, 2022. DOI: 10.1080/17455030.2022.2134608.
   Web of Science ®Google Scholar
• N. Rathore and N. Sandeep, “Computational framework on heat diffusion in blood-based hybrid nanoliquid flow through a stenosed artery: an aligned magnetic field application,” Numer. Heat Transf. B: Fundam., vol. 83, no. 4, pp. 162–175, 2023. DOI: 10.1080/10407790.2022.2153768.
   Web of Science ®Google Scholar
• N. Rathore and N. Sandeep, “Dynamics of heat passage in hybrid and tri-hybrid Oldroyd-B blood flows through a wedge-shaped artery: a medical application,” Numer. Heat Transf. A: Appl., vol. 0, pp. 1–17, 2023. DOI: 10.1080/10407782.2023.2201483.
   Google Scholar
• N. Rathore and N. Sandeep, “Relative analysis on fluid flow models for graphene oxide suspended blood flow: a Keller-box approach,” Proc. Inst. Mech. Eng. E: J. Process Mech. Eng., pp. 095440892311710, 2023. DOI: 10.1177/0954408923117103.
   Web of Science ®Google Scholar
• P. J. Carreau, “Rheological equations from molecular network theories,” Trans. Soc. Rheol., vol. 16, no. 1, pp. 99–127, 1972. DOI: 10.1122/1.549276.
   Web of Science ®Google Scholar
• P. J. Carreau, D. De. Kee and M. Daroux, “An analysis of the viscous behaviour of polymer solutions,” Can. J. Chem. Eng., vol. 57, no. 2, pp. 135–140, 1979. DOI: 10.1002/cjce.5450570202.
   Web of Science ®Google Scholar
• R. B. Bird, R. C. Armstrong and O. Hassager, Dynamics of Polymeric Liquids: Fluid Mechanics, vol. 1, 2nd ed. New York, NY, USA: Wiley, 1987.
   Google Scholar
• S. Nadeem, A. Riaz, R. Ellahi and N. S. Akbar, “Series solution of unsteady peristaltic flow of a Carreau fluid in eccentric cylinders,” Ain Shams Eng. J., vol. 5, no. 1, pp. 293–304, 2014. DOI: 10.1016/j.asej.2013.09.005.
   Google Scholar