Rheological impact of Sutterby fluid in isothermal forward roll coating process: a theoretical study

Hanif, Alia; Abbas, Zaheer; Khaliq, Sabeeh

doi:10.1177/87560879221111820

Cited by 16 publications

(10 citation statements)

References 27 publications

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“…Imrana et al 44 explored the effects of homogeneous and heterogeneous responses on peristalsis transportation mechanism in a flexible channel using the Rabinowitsch fluid model. Very recently, Abbas et al 45 scrutinized the blade coating process using Rabinowitsch model and provided the analytic as well as numerical solutions.…”

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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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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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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“…Mughees et al (2023) studied the influence on the final coating thickness by varying MHD and velocity slip in blade coating phenomena of carreau fluid. Coating thickness variation was also studied by Khaliq and Abbas (Abbas and Khaliq, 2022) during blade coating technique by using Oldroyed-B fluid and by using Sutterby fluid in article by Abbas et al (2022a), reporting a comprehensive analytical and numerical analysis by applying LAT.…”

Section: Introductionmentioning

confidence: 99%

“…They used lubrication theory to numerically as well as analytically study the rheological impact on coating thickness. Hanif et al (2022) in an article predicted the coating thickness variation under the rheology of Sutterby fluid coating during the development of forward roll coating phenomena. Mughees et al (2023) studied the influence on the final coating thickness by varying MHD and velocity slip in blade coating phenomena of carreau fluid.…”

Section: Introductionmentioning

confidence: 99%

“…They used lubrication theory to numerically as well as analytically study the rheological impact on coating thickness. Hanif et al. (2022) in an article predicted the coating thickness variation under the rheology of Sutterby fluid coating during the development of forward roll coating phenomena.…”

Section: Introductionmentioning

confidence: 99%

“…Abbas, Z. and Khaliq, S. (2022), "Variation of coating thickness in blade coating process of an upperconvected Jeffery's fluid model", Iran Polymer Journal, Vol. 31, pp.…”

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confidence: 99%

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Finite coating thickness of Prandtl fluid in non-isothermal reverse roll coating process

Abbas,

Khaliq,

Usman

et al. 2023

MMMS

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PurposeThe coating process is broadly employed in the manufacturing of wallpapers, adhesive tapes, wrapping, protection of fabrics and metals, X-ray and photographic films, beautification, books and magazines, film foils, magnetic records, coated paper, etc.Design/methodology/approachIn this study, an incompressible flow of non-Newtonian fluid is modeled to inspect the rheological behavior of finite coating thickness in the reverse roll coating process. With the assistance of lubrication approximation theory (LAT), the dimensionless form of governing expressions is simplified. Exact solutions for distributions for velocity, flow rate, temperature and pressure gradient attained utilizing perturbation technique and their variation is presented as well as discussed in graphs. Meanwhile, some important factors from an engineering perspective including coating thickness and transition point were calculated mathematically and are displayed in a tabular manner. Also, streamlines are drawn to observe the flow pattern.FindingsPrandtl fluid parameters provide a controlling factor to regulate the flow rate, velocity, coating thickness, and pressure gradient leading to an efficient coating process. Moreover, the Brinkman number and Prandtl fluid parameters significantly improve the temperature distribution.Originality/valueIn the literature, this study fills a gap in the theoretical prediction of coating thickness rheologically influenced by Prandtl fluid in reverse roll coating process.

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Non‐isothermal flow dynamics during reverse roll coating phenomena of non‐Newtonian polymer

Hanif,

Abbas

2024

Heat Trans

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Roll coating plays a major role in industrial coating, including wallpapers, plastic and photographic films, sticky tapes, magnetic recordings, wrapping magazines and books, and so on. The current study proposes a mathematical model for a non‐isothermal, incompressible Sutterby fluid flowing through a narrow gap between two heated, counterrotating rollers. Lubrication approximation theory is used to simplify nondimensional expressions. The perturbation technique provides exact results for velocity profile, temperature, flow rate, and pressure gradient, whereas the numerical technique (Simpson rule) is used to compute the pressure profile and flow rate, respectively. The effects of the involved parameters on various physical characteristics like pressure, flow rate, temperature, pressure gradient, force, and power input are depicted in graphs and tabular form. A mechanism for controlling the coating thickness, power input, flow rate, separation force, and pressure distribution is provided by the material properties involved. With variations to a Sutterby fluid parameter and the velocity ratio K, both the pressure gradient and pressure decrease. It is significant to note that the temperature distribution is controlled by the velocities ratio and Brinkman number. Moreover, the separation point is shifted towards the nip area and the coating thickness on the web reduces with increasing velocities ratio K.

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Rheological impact of Sutterby fluid in isothermal forward roll coating process: a theoretical study

Cited by 16 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

Finite coating thickness of Prandtl fluid in non-isothermal reverse roll coating process

Non‐isothermal flow dynamics during reverse roll coating phenomena of non‐Newtonian polymer

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