Steady flow and heat transfer analysis of MHD flow of Phan-Thien-Tanner fluid in double-layer optical fiber coating analysis with slip conditions
-
Zeeshan Khan
,
Saeed Islam
Abstract
Modern optical fibers require a double-layer coating on the glass fiber in order to provide protection from signal attenuation and mechanical damage. The most important plastic resins used in wires and optical fibers are plastic polyvinyl chloride, low- and high-density polyethylene, nylon, and polysulfone. One of the most important things that affect the final product after processing is the design of the coating die. In the present study, double-layer optical fiber coating is performed using melt polymer satisfying the Phan-Thien-Tanner (PTT) fluid model in a pressure-type die. The fluid is electrically conducted in the presence of applied magnetic field. Wet-on-wet coating process is applied for double-layer optical fiber coating. The assumption of fully developed flow of PTT fluid model, two-layer liquid flows of an immiscible fluid, is modeled in an annular die of length L, where the fiber is dragged at a higher speed. The equations characterizing the flow ad heat transfer phenomena are solved exactly and the effects of emerging parameters are shown with the help of graphs. It is interesting to remark that an increase in the non-Newtonian parameters increases the velocity in the absence or presence of slip parameters, which coincides with the results reported earlier. Also, the effect of important parameters such as Deborah numbers, slip parameters, magnetic parameter, characteristic velocity, radii ratio, and Brinkman numbers on the axial velocity, flow rate, thickness of coated fiber optics, and temperature distribution are investigated. Furthermore, the results were compared with the experimental results already published. To the best of our knowledge, no such analysis of the double-layer coating flows of PTT fluid using slip conditions is available in the literature. At the end, the result of the present work is also compared with the experimental results already published by taking λ → 0 (non-Newtonian parameter).
Conflict of interest statement: All the authors declare no conflict of interest.
Funding: Zeeshan Khan, (Grant/Award Number: ‘Abdul Wali Khan University Mardan, Pakistan’).
References
[1] Han CD, Rao D. Polym. Eng. Sci. 1978, 18, 1019–1029.10.1002/pen.760181309Search in Google Scholar
[2] Nayak MK. Wire Coating Analysis, 2nd ed. India Tech: New Delhi, 2015.Search in Google Scholar
[3] Caswell B, Tanner RJ. Polym. Eng. Sci. 1978, 18, 417–421.10.1002/pen.760180514Search in Google Scholar
[4] Tucker CL. Computer Modeling for Polymer Processing. Hanser: Munich, 1989, pp. 311–317.Search in Google Scholar
[5] Akter S, Hashmi MSJ. Prog. Org. Coat. 1999, 37, 15–22.10.1016/S0300-9440(99)00045-4Search in Google Scholar
[6] Akter S, Hashmi MSJ. Plasto-hydrodynamic pressure distribution in a tapered geometry wire coating unit, in: Proceedings of the 14th Conference of the Irish Manufacturing Committee (IMC14), Dublin, 1997, pp. 331–340.Search in Google Scholar
[7] Siddiqui AM, Haroon T, Khan H. Int. J. Non-linear Sci. Numer. Simul. 2009, 10, 247–257.Search in Google Scholar
[8] Fenner RT, Williams JG. Trans. Plast. Inst. London 1967, 35, 701–706.Search in Google Scholar
[9] Shah RA, Islam S, Siddiqui AM, Haroon T. J. Ksiam 2011, 15, 201–222.Search in Google Scholar
[10] Shah RA, Islam S, Siddiqui AM, Haroon T. Math. Comp. Mod. 2013, 57, 1284–1288.10.1016/j.mcm.2012.10.031Search in Google Scholar
[11] Shah RA, Islam S, Siddiqui AM, Haroon T. Comput. Math. Appl. 2012, 63, 695–707.10.1016/j.camwa.2011.11.033Search in Google Scholar
[12] Majid M, Siddiqui AM, Hayat T. Int. J. Eng. Sci. 2007, 45, 381–392.10.1016/j.ijengsci.2007.04.010Search in Google Scholar
[13] Shah RA, Islam S, Ellahi M, Haroon T, Siddiqui AM. Int. J. Phys. Sci. 2011, 6, 4213–4223.Search in Google Scholar
[14] Shah RA, Islam S, Siddiqui AM, Haroon T. J. Heat Mass Transfer 2012, 48, 903–914.10.1007/s00231-011-0934-1Search in Google Scholar
[15] Mitsoulis E. Ad. Poly. Tech. 1986, 6, 467–487.10.1002/adv.1986.060060405Search in Google Scholar
[16] Oliveira PJ, Pinho FT. J. Fluid Mech. 1999, 387, 271–280.10.1017/S002211209900453XSearch in Google Scholar
[17] Thien NP, Tanner RI. J. Non-Newtonian Fluid Mech. 1977, 2, 353–365.10.1016/0377-0257(77)80021-9Search in Google Scholar
[18] Kasajima M, Ito K. Appl. Polym. Symp. 1973, 20, 221–235.Search in Google Scholar
[19] Wagner R, Mitsoulis E. Adv. Polym. Tech. 1985, 5, 305–325.10.1002/adv.1985.060050404Search in Google Scholar
[20] Bagley EB, Storey SH. Wire Wire Prod. 1963, 38, 1104–1122.Search in Google Scholar
[21] Pinho FT, Oliveira PJ. Int. J. Heat Mass Transfer 2000, 43, 2273–2287.10.1016/S0017-9310(99)00303-8Search in Google Scholar
[22] Abel S, Prasad KV, Mahaboob A. Int. J. Thermal Sci. 2005, 44, 465–476.10.1016/j.ijthermalsci.2004.08.005Search in Google Scholar
[23] Sarpakaya T. AIChE J. 1961, 7, 324–328.10.1002/aic.690070231Search in Google Scholar
[24] Abel MS, Tawade JV, Shinde JN. Adv. Math. Phy. 2012, Article 702681.10.1155/2012/702681Search in Google Scholar
[25] Chen VC. Int. J. Heat Mass Transfer 2010, 19, 4264–4273.10.1016/j.ijheatmasstransfer.2010.05.053Search in Google Scholar
[26] Hayat T, Asif Farooq M, Javed T, Sajid M. Non-linear Anal. (Real world applications) 2009, 10, 745–755.10.1016/j.nonrwa.2007.11.001Search in Google Scholar
[27] Asghar S, Mudassar Gulzar M, Ayub M. Acta Mech. Sin. 2006, 5, 393–396.10.1007/s10409-006-0109-3Search in Google Scholar
[28] Ellahi R. Commun. Nonlinear Sci. Numer. Simul. 2009, 14, 1377–1384.10.1016/j.cnsns.2008.04.002Search in Google Scholar
[29] Sajid M, Awais M, Nadeem S, Hayat T. Comput. Math. Appl. 2008, 56, 2019–2026.10.1016/j.camwa.2008.04.022Search in Google Scholar
[30] Nargis K, Mehmood T. Int. J. Nonlinear Sci. 2012, 13, 105–116.Search in Google Scholar
[31] Asghar S, Gulzar MM, Ayub M. Acta. Mech. Sin. 2006, 22, 393–396.10.1007/s10409-006-0109-3Search in Google Scholar
[32] Shah RA, Siddiqui AM, Haroon T. Int. J. Mech. Mechtronic Eng. 2016, 3, 1336–1348.Search in Google Scholar
[33] Hatzikiriakos SG. Progr. Polym. Sci. 2012, 37, 624–643.10.1016/j.progpolymsci.2011.09.004Search in Google Scholar
[34] Ngamaramvaranggul V, Webster MF. Int. J. Num. Meth. Fluids 2000, 33, 961–992.10.1002/1097-0363(20000815)33:7<961::AID-FLD39>3.0.CO;2-WSearch in Google Scholar
[35] Ferras LL, Nobrega JM, Pinho FT. J. Non-Newtonian Fluid Mech. 2012, 171, 97–105.10.1016/j.jnnfm.2012.01.009Search in Google Scholar
[36] Ferras LL, Afonso AM, Alves MA, Nobrega JM, Pinho FT. J. Non-Newtonian Fluid Mech. 2014, 212, 80–91.10.1016/j.jnnfm.2014.07.004Search in Google Scholar
[37] Kaoullas G, Georgiou GC. Rheol. Acta 2013, 52, 913–925.10.1007/s00397-013-0730-6Search in Google Scholar
[38] Kim K, Kwak HS, Park SH. J. Coat. Technol. Res. 2011, 8, 35–44.10.1007/s11998-010-9272-3Search in Google Scholar
[39] Kim KJ, Kwak HS. Trans. Tech. Publ. 2012, 224, 260–263.10.4028/www.scientific.net/AMM.224.260Search in Google Scholar
[40] Zeeshan K, Shah RA, Islam S, Siddique AM. N.Y. Sci. J. 2013, 6, 66–73.10.1038/scientificamerican0313-66Search in Google Scholar
[41] Zeeshan K, Islam S, Shah RA, Khan I, Gul T. J. Appl. Environ. Biol. Sci. 2015, 5, 96–105.Search in Google Scholar
[42] Zeeshan K, Islam S, Shah RA, Khan I, Gul T, Gaskel P. J. Appl. Environ. Biol. Sci. 2015, 5, 36–51.Search in Google Scholar
[43] Zeeshan K, Islam S, Shah RA, Khan I. J. Coat. Technol. Res. 2016, 13, 1055–1063.10.1007/s11998-016-9817-1Search in Google Scholar
©2017 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Original articles
- Stem cell culture on polyvinyl alcohol hydrogels having different elasticity and immobilized with ECM-derived oligopeptides
- Graphene oxide as a compatibilizer for polyvinyl chloride/rice straw composites
- Effect of hybrid-SiO2 particles on characterization of EPDM and silicone rubber composites for outdoor high-voltage insulations
- Properties of POB reinforced PTFE-based friction material for ultrasonic motors
- Fabrication, characterization, and application of polyester/wood flour composites
- Anisotropic mechanical properties of fused deposition modeled parts fabricated by using acrylonitrile butadiene styrene polymer
- Development of partial miscibility in polycarbonate/polypropylene blends via annealing
- Study on low temperature toughness and crystallization behavior of polypropylene random copolymer
- Steady flow and heat transfer analysis of MHD flow of Phan-Thien-Tanner fluid in double-layer optical fiber coating analysis with slip conditions
Articles in the same Issue
- Frontmatter
- Original articles
- Stem cell culture on polyvinyl alcohol hydrogels having different elasticity and immobilized with ECM-derived oligopeptides
- Graphene oxide as a compatibilizer for polyvinyl chloride/rice straw composites
- Effect of hybrid-SiO2 particles on characterization of EPDM and silicone rubber composites for outdoor high-voltage insulations
- Properties of POB reinforced PTFE-based friction material for ultrasonic motors
- Fabrication, characterization, and application of polyester/wood flour composites
- Anisotropic mechanical properties of fused deposition modeled parts fabricated by using acrylonitrile butadiene styrene polymer
- Development of partial miscibility in polycarbonate/polypropylene blends via annealing
- Study on low temperature toughness and crystallization behavior of polypropylene random copolymer
- Steady flow and heat transfer analysis of MHD flow of Phan-Thien-Tanner fluid in double-layer optical fiber coating analysis with slip conditions
