Abstract
The coating process is significant in terms of its practical applications in the field of paint and electronics industries. The coating process offers a protective layer in paints; however, it stores information in electronics industries. Current study gives insight on the blade coating analysis by passing an upper convected Jeffery’s material through the narrow gap between the moving substrate and a fixed blade. The basic flow expressions were simplified by utilizing lubrication approximation theory, and then solved using the perturbation analysis and numerical shooting technique. The study discussed the effects of material parameters in both cases of plane and exponential coaters. The variations of Weissenberg number, viscosities ratio and normalized coating thickness on the maximum pressure, pressure gradient, coating thickness, pressure, and load are presented through graphs and in a tabular manner. In addition, the perturbation results were validated by comparing with the numerical outcomes and found an excellent agreement. It is noted that increasing both the Weissenberg number and viscosities ratio resulted in reduced coating thickness and increased blade load, hence were the controlling parameters, as they certified the coating quality and life of the substrate. Besides, the parameters had significant impacts on the velocity and pressure profiles. In addition, maximum pressure was directly proportional to the Weissenberg number and viscosities ratio.
Graphical abstract
Similar content being viewed by others
References
Ruschak KJ (1985) Coating flows. Ann Rev Fluid Mech 17:65–89
Middleman S (1977) Fundamentals of polymer processing. Mcgraw-Hill College, New York
Greener Y, Middleman S (1974) Blade coating of a viscoelastic fluid. Polym Eng Sci 14:791–796
Hwang SS (1982) Non-Newtonian liquid blade coating process. Trans ASME J Fluids Eng 104:469–475
Ross AB, Wilson SK, Duffy BR (1999) Blade coating of a power law fluid. Phys Fluids 11:958–970
Penterman R, Klink SI, De Koning H, Nisato G, Broer DJ (2002) Single-substrate liquid-crystal displays by photo-enforced stratification. Nature 417:55–58
Quintans JC, Mottram NJ, Wilson SK, Duffy BR (2007) A mathematical model for blade coating of a nematic liquid crystal. Liq Cryst 34:621–631
Giacomin AJ, Cook JD, Johnson LM, Mix AW (2012) Flexible blade coating. J Coat Technol Res 9:269–277
Willinger B, Delgado A (2014) Analytical prediction of roll coating with counter-rotating deformable rolls. J Coat Technol Res 11:31–37
Siddiqui AM, Bhatti S, Rana MA, Zahid M (2014) Blade coating analysis of a Williamson fluid. Results Phy 7:2845–2850
Rana MA, Siddiqui AM, Bhatti S, Zahid M (2018) The study of the blade coating process lubricated with Powell-Eyring Fluid. J Nanofluids 7:52–61
Ali N, Atif HM, Javed MA, Sajid MA (2018) Theoretical analysis of roll-over-web coating of couple stress fluid. J Plastic Film Sheet 34:43–59
Atif HM, Ali N, Javed MA, Abbas F (2018) Theoretical analysis of roll-over-web coating of a micropolar fluid under lubrication approximation theory. J Plast Film Sheet 34:418–438
Sajid M, Mughees M, Ali N, Shahzad H (2019) A theoretical analysis of blade coating for third-grade fluid. J Plast Film Sheet 35:218–238
Sajid M, Shahzad H, Mughees M, Ali N (2019) Mathematical modeling of slip and magnetohydrodynamics effects in blade coating. J Plast Film Sheet 35:9–21
Ershad-Langroudi A, Rahimi A (2014) Effect of ceria and zirconia nanoparticles on corrosion protection and viscoelastic behavior of hybrid coatings. Iran Polym J 23:267–276
Sugumaran S, Bellan CS, Nadimuthu M (2015) Characterization of composite PVA–Al2O3 thin films prepared by dip coating method. Iran Polym J 24:63–74
Mirmohseni A, Gharieh A, Khorasani M (2016) Waterborne acrylic–polyaniline nanocomposite as antistatic coating: preparation and characterization. Iran Polym J 25:991–998
Nal P, Mestry S, Mapari S, Mhaske S (2019) Eugenol/vanillin-derived novel triarylmethane-based crosslinking agent for epoxy coating Iran. Polym J 28:685–695
Zheng G, Wachter F, Al-Zoubi A, Durst F, Taemmerich R, Stietenroth M, Pircher P (2020) Computations of coating windows for reverse roll coating of liquid films. J Coat Technol Res 17:897–910
Shahzad H, Wang X, Mughees M, Sajid M, Ali N (2019) A mathematical analysis for the blade coating process of Oldroyd 4-constant fluid. J Polym Eng 39:852–860
Wang X, Shahzad H, Chen Y, Kanwal M, Ullah Z (2020) Mathematical modelling for flexible blade coater with magnetohydrodynamic and slip effects in blade coating process. J Plast Film Sheet 36:38–54
Khaliq S, Abbas Z (2020) A theoretical analysis of roll-over-web coating assessment of viscous nanofluid containing Cu-water nanoparticles. J Plast Film Sheet 36:55–75
Kanwal M, Wang X, Shahzad H, Chen Y, Chai H (2020) Blade coating analysis of viscous nanofluid having Cu–water nanoparticles using flexible blade coater. J Plast Film Sheet 36:348–367
Abbas Z, Khaliq S (2021) Calendering analysis of non-isothermal viscous nanofluid containing Cu-water nanoparticles using two counter-rotating rolls. J Plast Film Sheet 37:182–220
Khaliq S, Abbas Z (2021) Theoretical analysis of blade coating process using simplified Phan-Thien-Tanner fluid model: an analytical study. Polym Eng Sci 61:301–313
Zahid M, Khan NZ, Siddiqui AM, Iqbal S, Muhammad A, Tlili I (2021) Analysis of the lubrication approximation theory in the calendering/sheeting process of upper convected Jeffery’s material. J Plast Film Sheet 37:128–159
Khaliq S, Abbas Z (2021) Non-isothermal blade coating analysis of viscous fluid with temperature-dependent viscosity using lubrication approximation theory. J Polym Eng 41:705–716. https://doi.org/10.1515/polyeng-2021-0087
Mughees M, Sajid M, Shahzad H, Sadiq MN, Ali N (2021) An exact solution for blade coating of a second-grade fluid on a porous substrate. J Plast Film Sheet. https://doi.org/10.1177/87560879211035429
Azam M, Xu T, Khan M (2020) Numerical simulation for variable thermal properties and heat source/sink in flow of Cross nanofluid over a moving cylinder. Int Comm Heat Mass Transf 118:104832
Azam M, Xu T, Shakoor A, Khan M (2020) Effects of Arrhenius activation energy in development of covalent bonding in axisymmetric flow of radiative-cross nanofluid. Int Comm Heat Mass Transf 113:104547
Rajagopal KR, Bhatnagar RK (1995) Exact solutions for some simple flows of an Oldroyd-B fluid. Acta Mech 113:233–239
Hayat T, Siddiqui AM, Asghar S (2001) Some simple flows of an Oldroyd-B fluid. Int J Eng Sci 39:135–147
Brandi AC, Mendoça MT, Souza LF (2019) DNS and LST stability analysis of Oldroyd-B fluid in a flow between two parallel plates. J Non-Newton Fluid Mech 267:14–27
Abbas Z, Rafiq MY, Hasnian J, Umer H (2021) Impacts of lorentz force and chemical reaction on peristaltic transport of Jeffrey fluid in a penetrable channel with injection/suction at walls. Alex Eng J 60:1113–1122
Hayat T, Kiyani MZ, Ahmad I, Alsaedi A (2019) Double stratified radiative flow of an Oldroyd-B nanofluid with nonlinear convection. Appl Math Mech 40:1861–1878
Author information
Authors and Affiliations
Corresponding author
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Abbas, Z., Khaliq, S. Variation of coating thickness in blade coating process of an upper-convected Jeffery’s fluid model. Iran Polym J 31, 343–355 (2022). https://doi.org/10.1007/s13726-021-01002-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13726-021-01002-y