Theoretical Analysis of Roll-Over-Web Surface Thin Layer Coating

Manzoor, Tareq; Zafar, Muhammad; Iqbal, S.; Nazar, Kashif; Ali, Muddassir; Saleem, Mahmood; Manzoor, Sanaullah; Kim, Woo Young

doi:10.3390/coatings10070691

Cited by 8 publications

(7 citation statements)

References 27 publications

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“…Substituting the value of u 0 from equation (38) into equation (35), we get the expression of pressure gradient as…”

Section: Perturbation Solutionmentioning

confidence: 99%

“…They successfully applied the lubrication approximation theory in their analysis to simplify the governing differential equations. Manzoor et al 35 analysed a theoretical study of roll-over thin layer creation under lubrication approximation theory. Zahid et al 36 discussed forward roll-coating of a non-Newtonian thin film between two counter-rotating rolls.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical Analysis of Roll-over-web Coating of a Non-Newtonian Polymer Using Lubrication Approximation Theory

Atif¹,

Akhtar²,

Javed³

2023

Journal of Plastic Film & Sheeting

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Roll-coating process plays an important role in many industries for its practical applications such as paint, PVC coated fabrics and plastic industries. There are several roll-to-roll coating methods including forward and reverse roll-coating. However, the roll-over-web coating study of the Rabinowitsch model is presented in this paper. The flow equations for the problem are developed and converted into dimensionless form with the help of dimensionless variables and then finally simplified by a well-known lubrication approximation theory. We employ the regular perturbation technique to get analytical expressions for velocity, pressure, and pressure gradient. Engineering quantities such as power input function and roll-separating force are calculated by Runge-Kutta method. The dimensionless Rabinowitsch parameter effect on velocity, pressure, pressure gradient, load-carrying force, and power input are shown graphically. It is interesting to note that for the shear thickening case, the Rabinowitsch model predicts 35% higher pressure, while in the shear thinning case it predicts 29% less pressure in the nip region when compared to the Newtonian model. The force and power show a decreasing trend on increasing the dimensionless Rabinowitsch parameter a. Moreover, the separation point shifts right of its Newtonian value when fluid behaves like shear thickening and volumetric flow rate increases which causes the coating thickness to increase.

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“…Substituting the value of u 0 from equation (38) into equation (35), we get the expression of pressure gradient as…”

Section: Perturbation Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of Roll-over-web Coating of a Non-Newtonian Polymer Using Lubrication Approximation Theory

Atif¹,

Akhtar²,

Javed³

2023

Journal of Plastic Film & Sheeting

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“…Abbas and Khaliq 21 used micropolar-Casson fluid to investigate the roll-coating analysis and found closed form expressions. Manzoor et al, 22 presented the theory of a roll over thin layer formation. They used optimal homotopy asymptotic method to find the solution.…”

Section: Introductionmentioning

confidence: 99%

Mathematical study of viscoelastic polymer during roll-over-web coating

Atif,

Jabeen,

Javed

2023

Journal of Plastic Film & Sheeting

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Roll-coating, also known as roll-to-roll coating or web coating is a continuous and high-speed method used in various industrial applications to apply a thin and uniform layer of material onto a substrate. This process is commonly employed in industries such as electronics, photovoltaic, printing, packaging, and other fields where precise and consistent coating is essential. Here we present an asymptotic analysis of forward roll coating over a rigid substrate for low Weissenberg number viscoelastic fluids. The analysis uses lubrication theory coupled with regular perturbation theory assuming a simplified Phan-Thien-Tanner (SPPT) constitutive equation and small values of the extensibility parameter ε. The analytical expressions of velocity fields, pressure gradient and pressure fields are obtained while the load carrying force, and power input are estimated by numerical solutions (4th order Runge-Kutta). Increases in both Wi and ε increases the pressure gradient in the nip region and increases in viscoelasticity reduce the overall force on the roll. Further, SPTT model predicts 14% lower pressure for [Formula: see text] in the nip region when compared to Newtonian model.

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“…Using the previously stated assumptions, the Boussinesq approximation [74], and boundary layers approximation [75], the governing system is (see [14,15,73,76,77]):…”

Section: Modeling Of the Problemmentioning

confidence: 99%

Mixed Convection Flow of Magnetized Casson Nanofluid over a Cylindrical Surface

et al. 2022

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This work aimed to establish a numerical simulation of kerosene oil as a host Casson fluid flowing around a cylindrical shape with an applied magnetic field crossing through it, under constant wall temperature boundary conditions. Nanoparticles of zinc, aluminum, and titanium oxides were included to reinforce its thermal characteristics. The governing model was established based on the Tiwari and Das model. Graphical and numerical results for correlated physical quantities were gained through the Keller Box method, with the assistance of MATLAB software (9.2). The combined convection (λ>0 & λ<0), magnetic parameter (M>0), Casson parameter (β>0), and nanosolid volume fraction (0.1≤χ≤0.2) were the parameter ranges considered in this study. According to the current findings, the growth of mixed convection parameter or volume fraction of ultrafine particles contributes to boosting the rate of energy transport, skin friction, and velocity distribution. Zinc oxide–kerosene oil has the highest velocity and temperature, whatever the parameters influencing it.

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Theoretical Analysis of Roll-Over-Web Surface Thin Layer Coating

Cited by 8 publications

References 27 publications

Theoretical Analysis of Roll-over-web Coating of a Non-Newtonian Polymer Using Lubrication Approximation Theory

Theoretical Analysis of Roll-over-web Coating of a Non-Newtonian Polymer Using Lubrication Approximation Theory

Mathematical study of viscoelastic polymer during roll-over-web coating

Mixed Convection Flow of Magnetized Casson Nanofluid over a Cylindrical Surface

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