Mathematical modeling of Johnson-Segalman fluid in blade coating process

Kanwal, Marya; Wang, Xinhua; Shahzad, Hasan; Sajid, Muhammad; Cheng, Yiqi

doi:10.1177/8756087920983551

Cited by 7 publications

(3 citation statements)

References 33 publications

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“…Atif et al 21 studied the Roll-over-web coating process of Rabinowitch model by using perturbation technique. Articles, [22][23][24][25][26] which analyzed various fluid models using a variety of solution methodologies under lubrication theory can be of interest to the readers.…”

Section: Introductionmentioning

confidence: 99%

Final sheet thickness variation during the non-isothermal calendering process of rheological Prandtl fluid polymer

Abbas,

Khaliq,

Ihsan

et al. 2023

Journal of Plastic Film & Sheeting

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Industries widely use the calendering process to create coated fabrics, thermoplastic films, plastic sheeting, and textile fabrics to procure the prerequisite surface smoothness plus texture. This article inspects the non-isothermal calendering phenomena with heat transfer mechanism to report the rheological behavior of Prandtl fluid on the sensitivity of sheet thickness with velocity slip at roll’s surface. Lubrication theory is utilized to simplify the governing expressions before normalization. We obtained the zeroth plus first order perturbative solutions for the velocity profile, pressure gradient, pressure distribution, temperature, and sheet thickness. And other mechanical properties are evaluated with a numerical solution. Through graphs and tabular data, how material parameters influence the various flow and engineering parameters are reported. As it can be seen, the material parameters are the main parameters that control the pressure gradient, leading to different final sheet thickness and separating force. As the material parameters increased, sheet thickness and separating force increased.

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Section: Introductionmentioning

confidence: 99%

Final sheet thickness variation during the non-isothermal calendering process of rheological Prandtl fluid polymer

Abbas,

Khaliq,

Ihsan

et al. 2023

Journal of Plastic Film & Sheeting

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“…The JS fluid model is established by Ashraf et al [36] for evaluation of peristaltic-cilia flow inside human fallopian tube for development of embryo. Recently, Kanwal et al [37] proposed JS fluid model for the analysis of blade coating and utilized LAT for simplification of governing equations. They adopted perturbation method for attaining the solution and concluded that the load decreases as Weissenberg number increases however coating thickness increases in comparison of viscous case.…”

Section: Introductionmentioning

confidence: 99%

Perturbation based analytical and numerical solutions of non-Newtonian differential equation during reverse roll coating process under lubrication approximation theory

Ali¹,

Hou²,

Zahid³

et al. 2022

Phys. Scr.

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Reverse roll coating process are utilized for the purpose of applying a coating to a substrate or web by utilising different rollers in order to get the required coated surface. As a result of this, reverse roll coating process have found applications in a wide variety of industries, such as those dealing with food and medicine, electronic components, optical and LCD devices, and optical products. The main objective of this paper is to develop the mathematical formulation for the coating of thin film for an incompressible isothermal viscoelastic fluid between two reversely rotating rolls. Through the use of an appropriate dimensionless parameter, Non-dimensional nonlinear ordinary differential equations (ODEs) are derived from governing partial differential equations (PDEs). LAT (lubrication approximation theory) simplifies the dimensionless equations of fluid motion. The expressions for velocity of flow, pressure gradient and flow rate is obtained analytically by using regular perturbation method, while numeric solution of some mechanical parameters such as power input, coating thickness, roll separation force and separation points are calculated. The numerical validation of the analytical solution of the fundamental model of nonlinear constitutive flow laws is done in the Maple environment using the numeric technique which is based on finite difference method. The influence of numerous non-Newtonian parameters such as velocities ratio and Weissenberg number on velocity profiles, pressure gradient, power input, roll separation force, separation points and coating thickness of a non-Newtonian Johnson–Segalman (JS) fluid are explored via graphically and in tabular form. The outcomes demonstrate that on increasing the Weisenberg number and velocities ratio, the coating thickness on web is decreases. For the numerous values of velocities ratio, it is important to note that separation points shifted towards the nip region. In addition, the non-Newtonain parameter have signifcant impact on power input and roll separating force.

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“…It is observed that the pressure increases for the coupling number and micro-rotation parameter in comparison with Newtonian fluid, besides the coating thickness, as the coupling number increases. The analysis of Johnson-Segalman fluid is presented by Kanwal et al [26] for blade coating by considering plane coater. To simplify the governing flow equations, LAT has been adopted.…”

Section: Introductionmentioning

confidence: 99%

Study of Slip Effects in Reverse Roll Coating Process Using Non-Isothermal Couple Stress Fluid

et al. 2021

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The non-isothermal couple stress fluid inside a reverse roll coating geometry is considered. The slip condition is considered at the surfaces of the rolls. To develop the flow equations, the mathematical modelling is performed using conservation of momentum, mass, and energy. The LAT (lubrication approximation theory) is employed to simplify the equations. The closed form solution for velocity, temperature, and pressure gradient is obtained. While the pressure and flow rate are obtained numerically. The impact of involved parameters on important physical quantities such as temperature, pressure, and pressure gradient are elaborated through graphs and in tabular form. The pressure and pressure gradient decreases for variation of the couple stress parameter and velocity ratio parameter K. While the variation of the slip parameter increases the pressure and pressure gradient inside the flow geometry. Additionally, flow rate decreases for the variation of the slip parameter as fluid starts moving rapidly along the roller surface. The most important physical quantity which is responsible for maintaining the quality of the coating and thickness is flow rate. For variation of both the couple stress parameter and the slip parameter, the flow rate decreases compared to the Newtonian case, consequently the coating thickness decreases for the variation of the discussed parameter.

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Mathematical modeling of Johnson-Segalman fluid in blade coating process

Cited by 7 publications

References 33 publications

Final sheet thickness variation during the non-isothermal calendering process of rheological Prandtl fluid polymer

Final sheet thickness variation during the non-isothermal calendering process of rheological Prandtl fluid polymer

Perturbation based analytical and numerical solutions of non-Newtonian differential equation during reverse roll coating process under lubrication approximation theory

Study of Slip Effects in Reverse Roll Coating Process Using Non-Isothermal Couple Stress Fluid

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