Theoretical investigation of a fluid model in calendering process involving slip at the upper roll surface

Javed, Muhammad Asif; Ali, Nasir; Arshad, Sabeen; Nawaz, S.; Ghaffari, Abuzar

doi:10.1002/zamm.202100406

Cited by 3 publications

(6 citation statements)

References 37 publications

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“…We get a transcendental equation. The Newtonian's iterative method [44][45][46][47][48][49] is applied to the resultant transcendental equation to find the separation point. Finally, it comes 𝑥 0 = 2.4102 where 𝜆 0 can be readily obtained from Equation (50) and its value is 𝜆 0 = 1.3015.…”

Section: 4mentioning

confidence: 99%

Applications of lubrication approximation theory in the analysis of the roll‐coating using a tangent hyperbolic fluid model

Atif,

Zaka,

Radwan

et al. 2024

Z Angew Math Mech

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In this study, the process of roll‐over‐web coating for a tangent hyperbolic fluid is theoretically examined. Fundamental laws of fluid mechanics are used to set up the flow equations and then simplified through lubrication approximation theory (LAT). The governing differential equations are solved with the help of the perturbation method in conjunction with the Runge–Kutta method. The outcomes of the study are presented through the graphs and tables. Study shows that enhancing the Weissenberg number upsurges the velocity and pressure while decreasing the pressure gradient. It is also noted that force shows an increasing trend while power is decreasing for bigger values . Results further depict that for a bigger value of the power law index , pressure gradient, pressure, force, and power decrease, and the coating thickness increases. It is worth mentioning here that for the shear thinning case, the tangent hyperbolic model predicts less pressure in the nip region when compared to the Newtonian model.

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Section: 4mentioning

confidence: 99%

Applications of lubrication approximation theory in the analysis of the roll‐coating using a tangent hyperbolic fluid model

Atif,

Zaka,

Radwan

et al. 2024

Z Angew Math Mech

Self Cite

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“…In order to investigate the effects of the slip coefficient, we introduced nonlinear slip condition to the upper roll surface of the calender. 29,30 u ¼ U À k μ S xy at y ¼ hðxÞ In the center of the rolls boundary condition is defined as…”

Section: Governing Equations and Mathematical Formulationmentioning

confidence: 99%

“…In order to investigate the effects of the slip coefficient, we introduced nonlinear slip condition to the upper roll surface of the calender. 29,30 …”

Section: Governing Equations and Mathematical Formulationmentioning

confidence: 99%

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A computational study of the calendering processes using Oldroyd 8-constant fluid with slip effects

Javed,

Asghar,

Atif

et al. 2023

Polymers and Polymer Composites

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The analyses of the calendering processes using Oldroyd 8-constant fluid model with the non-linear slip condition effects are discussed in this paper. To model the flow equations for the study of calendering, we utilized the conservation of mass, momentum equations, and Oldroyd 8-constant model. The final equations are reduced into fourth order differential equations by utilizing lubrication approximation theory (LAT). MATLAB’s built-in function bvp4c is employed to calculate the stream function and the fluid velocity. Furthermore, pressure gradient, pressure, and mechanical quantities of calendering processes are obtained by fourth-order Runge-Kutta method. The effects of the slip and material parameters of Oldroyd 8-constant fluid on the physical quantities related to calendering are illustrated via graphical figures. The presence of slip is resistive to length of contract and pressure distribution. On the other hand the pressure showed the increasing trend with increase the value of material parameter ([Formula: see text]). The engineering quantity such as force function show decreasing with increase the values of the slip parameter K. As evident from the study, the material parameters play a crucial role in controlling the pressure, thereby influencing the final sheet thickness and separating force. With an increase in the material parameter [Formula: see text], both the sheet thickness and roll-separating force show a corresponding increase.

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“…Abbas and Khaliq 15 studied the calendering phenomena of micropolar-Casson fluid under the numerical procedure of finite difference technique to examine heat transfer mechanism. Javed et al 16 most recently reported a numerical investigation of calendering process with inspection of slip at upper roll. Mughees et al 17 studied how MHD impacts velocity slip in the flow dynamics of Carreau fluid during blade coating phenomena.…”

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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Theoretical investigation of a fluid model in calendering process involving slip at the upper roll surface

Cited by 3 publications

References 37 publications

Applications of lubrication approximation theory in the analysis of the roll‐coating using a tangent hyperbolic fluid model

Applications of lubrication approximation theory in the analysis of the roll‐coating using a tangent hyperbolic fluid model

A computational study of the calendering processes using Oldroyd 8-constant fluid with slip effects

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

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