Startseite A mathematical analysis for the blade coating process of Oldroyd 4-constant fluid
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

A mathematical analysis for the blade coating process of Oldroyd 4-constant fluid

  • Hasan Shahzad ORCID logo EMAIL logo , Xinhua Wang , Muhammad Mughees , Muhammad Sajid und Nasir Ali
Veröffentlicht/Copyright: 10. September 2019
Veröffentlichen auch Sie bei De Gruyter Brill
Manuskript einreichen Informationen für Autor*innen
Journal of Polymer Engineering
Aus der Zeitschrift Journal of Polymer Engineering Band 39 Heft 9

Abstract

A mathematical study of an Oldroyd 4-constant fluid for a blade coating process is studied in this paper. The results for plane as well as exponential coaters are analyzed. Suitable dimensionless variables are used to convert the model governing equations into dimensionless form. Lubrication approximation theory is applied to simplify the dimensionless form of governing partial differential equations. The well-known numerical technique known as the shooting method is used to solve the non-linear boundary value problem. Influence of the involved rheological parameters on the blade coating process is analyzed. From an engineering point of view, load on the blade and pressure are important outcomes of the present study as they ensure the thickness and quality of coating and enhance the life of the substrate. The effects of material parameters on load, thickness, velocity, pressure and pressure gradient are discussed. Obtained results for velocity, pressure gradient and pressure distribution are shown graphically, whereas load and thickness are expressed in a tabulated form.

Keywords: blade coating; lubrication approximation theory; Oldroyd 4-constant fluid; shooting method; stream function

  1. Funding: This research was funded by the National Key Research and Development Program of China (grant no. 2017YFC0805005), the Joint Program of Beijing Municipal Natural Science Foundation Commission and Beijing Municipal Education Commission (grant no. 18JH0005) and the Rixin Scientist of Beijing University of Technology.

References

[1] Ruschak KJ. Annu. Rev. Fluid. Mech. 1985, 17, 65–89.10.1146/annurev.fl.17.010185.000433Suche in Google Scholar

[2] Middleman S. Fundamentals of Polymer Processing, Mcgraw-Hill College: New York, 1977.Suche in Google Scholar

[3] Greener Y, Middleman S. Polym. Eng. Sci. 1974, 14, 791–796.10.1002/pen.760141110Suche in Google Scholar

[4] Hwang SS. J. Fluid Eng. Trans. ASME 1982, 104, 469–475.10.1115/1.3241886Suche in Google Scholar

[5] Ross AB, Wilson SK, Duffy BR. Phys. Fluids 1999, 11, 958–970.10.1063/1.869968Suche in Google Scholar

[6] Sinha P, Singh C. Trans. ASME J. Lubrication Technol. 1982, 104, 168.10.1115/1.3253176Suche in Google Scholar

[7] Sullivan T. Fluid Dynamics in a Blade-Over-Roll Coater, Ph.D. thesis, University of California, at San Diego: La Jolla, CA, 1986.Suche in Google Scholar

[8] Sullivan TM, Middleman S. J. Non-Newtonian Fluid Mech. 1986, 21, 13–38.10.1016/0377-0257(86)80060-XSuche in Google Scholar

[9] Tichy JA. Trans. ASME J. Tribol. 1996, 118, 344.10.1115/1.2831307Suche in Google Scholar

[10] Aidun CK. Tappi J. 1991, 74, 213–220.Suche in Google Scholar

[11] Chen KS, Seriven LE. Tappi J. 1990, 73, 151–161.Suche in Google Scholar

[12] Pranckh FR, Seriven LE. Tappi J. 1990, 73, 163–173.Suche in Google Scholar

[13] Siddiqui AM, Bhatti S, Rana MA, Zahid M. Results Phys. 2017, 7, 2845–2850.10.1016/j.rinp.2017.07.076Suche in Google Scholar

[14] Rana MA, Siddiqui AM, Bhatti S, Zahid M. J. Nanofluids 2018, 7, 1–10.10.1166/jon.2018.1533Suche in Google Scholar

[15] Sajid M, Shahzad H, Mughees M, Ali N. J. Plast. Film Sheet. 2018, 0, 1–13.Suche in Google Scholar

[16] Tayler AB. Q. J. Mech. Appl. Math. 1978, 31, 481–495.10.1093/qjmam/31.4.481Suche in Google Scholar

[17] Coyle DJ. Chem. Eng. Sci. 1988, 43, 2673–2684.10.1016/0009-2509(88)80011-3Suche in Google Scholar

[18] Dien IK, Elrod HG. Trans. ASME J. Lubrication Technol. 1983, 105, 385.10.1115/1.3254619Suche in Google Scholar

[19] Aidun CK. Tappi J. 1991, 74, 213–220.10.1093/jaoac/74.1.213Suche in Google Scholar

[20] Cameron A. Principles of Lubrication, Longmans: London, 1966.Suche in Google Scholar

[21] Corvalan CM, Saita FA. Chem. Eng. Sci. 1995, 50, 1769–1783.10.1016/0009-2509(95)00013-USuche in Google Scholar

[22] Eklund DE. Tappi J. 1984, 67, 66–70.Suche in Google Scholar

[23] Rana MA, Zahid M, Bhatti S, Siddiqui AM. J. Nanofluids 2018, 7, 1–11.10.1166/jon.2018.1533Suche in Google Scholar

[24] Sajid M, Mughees M, Shahzad H, Ali N. J. Plastic Film Sheet. 2019, 35, 218–238.Suche in Google Scholar

[25] Ali N, Wang Y, Hayat T, Oberlack M. Biorheology 2008, 45, 611.10.3233/BIR-2008-0510Suche in Google Scholar

[26] Baris S. Turk Eng. Sci. J. 2001, 25, 587–594.10.1111/j.1745-4514.2001.tb00816.xSuche in Google Scholar

[27] Isaksson P, Rigdahl M, Bousfield DW. Ind. Eng. Chem. Res. 1997, 36, 2834–2840.10.1021/ie9700324Suche in Google Scholar

[28] Ullah H, Islam S, Arif M, Fiza M. Life Sci. J. 2013, 10, 76–84.10.1155/2013/324869Suche in Google Scholar

[29] Atif HM, Ali N, Javed MA, Sajid M. Polym. Eng. J. 2018, 38, 1007–1016.10.1515/polyeng-2018-0083Suche in Google Scholar

[30] Ali N, Atif HM, Javed MA. J. Plast. Film Sheet. 2017, 34, 43–59.Suche in Google Scholar

[31] Baumgaertal M, Winter HH. Rheol. Acta 1989, 28, 511–519.10.1007/BF01332922Suche in Google Scholar

Received: 2019-06-27
Accepted: 2019-08-16
Published Online: 2019-09-10
Published in Print: 2019-09-25

©2019 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. Material properties
  3. Pyrolysis of polypropylene over zeolite mordenite ammonium: kinetics and products distribution
  4. Impact of graphene/graphene oxide on the mechanical properties of cellulose acetate membrane and promising natural seawater desalination
  5. Surface damage characterization of photodegraded low-density polyethylene by means of friction measurements
  6. Morphology and electrical properties of polypropylene/polyamide 6/glass fiber composites with low carbon black loading
  7. Preparation and assembly
  8. Preparation and evaluation of a stable and sustained release of lansoprazole-loaded poly(d,l-lactide-co-glycolide) polymeric nanoparticles
  9. Engineering and processing
  10. Influence of chemical postprocessing on mechanical properties of laser-sintered polyamide 12 parts
  11. Manufacture and mechanical properties of sandwich structure-battery composites
  12. Simulation of dynamic mold compression and resin flow for force-controlled compression resin transfer molding
  13. A mathematical analysis for the blade coating process of Oldroyd 4-constant fluid
https://doi.org/10.1515/polyeng-2019-0195
Schlagwörter für diesen Artikel
blade coating; lubrication approximation theory; Oldroyd 4-constant fluid; shooting method; stream function

Artikel in diesem Heft

  1. Frontmatter
  2. Material properties
  3. Pyrolysis of polypropylene over zeolite mordenite ammonium: kinetics and products distribution
  4. Impact of graphene/graphene oxide on the mechanical properties of cellulose acetate membrane and promising natural seawater desalination
  5. Surface damage characterization of photodegraded low-density polyethylene by means of friction measurements
  6. Morphology and electrical properties of polypropylene/polyamide 6/glass fiber composites with low carbon black loading
  7. Preparation and assembly
  8. Preparation and evaluation of a stable and sustained release of lansoprazole-loaded poly(d,l-lactide-co-glycolide) polymeric nanoparticles
  9. Engineering and processing
  10. Influence of chemical postprocessing on mechanical properties of laser-sintered polyamide 12 parts
  11. Manufacture and mechanical properties of sandwich structure-battery composites
  12. Simulation of dynamic mold compression and resin flow for force-controlled compression resin transfer molding
  13. A mathematical analysis for the blade coating process of Oldroyd 4-constant fluid
Jetzt anmelden und 20% sparen
Institutioneller Zugang
Wie funktioniert Authentifizierung?
Haben Sie eine Idee, wie wir unsere Website verbessern können?
Bitte schreiben Sie uns.
© 2025 De Gruyter Brill
Heruntergeladen am 3.12.2025 von https://www.degruyterbrill.com/document/doi/10.1515/polyeng-2019-0195/pdf
Button zum nach oben scrollen