Theoretical analysis of the exiting thickness of sheets in the calendering of FENE-P fluid

Arshad

2019

Self Cite

A numerical study of the calendering process is presented. The material to be calendered is modeled by using Giesekus constitutive equation. The flow equations are first presented in dimensionless forms and then simplified by incorporating the lubrication approximation theory. The resulting equations are analytically solved for the stream function. The pressure gradient, pressure, and other engineering parameters related to the calendering process, such as roll-separating force, power function, and entering sheet thickness, are numerically calculated by using Runge–Kutta algorithm. The influence of the Giesekus parameter and the Deborah number on the velocity profile, pressure gradient, pressure, power function, roll-separating force, and exiting sheet thickness are discussed in detail with the help of various graphs. The present analysis indicates that the pressure in the nip region decreases with increasing Giesekus parameter and Deborah number. The power function and the roll-separating force exhibit decreasing trends with increasing Deborah number. The exiting sheet thickness decreases up to a certain entering sheet thickness, as compared to the Newtonian case. Beyond this entering sheet thickness, the exiting sheet thickness increases with increasing entering sheet thickness.

Section: Formulation Of the Problemmentioning

confidence: 99%

“…This procedure for finding the pressure and pressure gradient is explained by other authors. [12][13][14]…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical analysis of the calendering process by using Giesekus fluid model

Arshad

2019

Self Cite

“…The flow problem is formulated and solved in Problem formulation section. The pressure and other engineering quantity computations are carried out numerically using a procedure that is already implemented by Ali et al 17 and Sajid et al 18 for the calendering process.…”

Section: Introductionmentioning

confidence: 99%

A theoretical analysis of roll-over-web coating of couple stress fluid

Atif

et al. 2017

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This paper presents the roll-coating analysis of couple stress fluid under lubrication approximation theory. The governing differential equation developed under the approximation is solved to get exact expressions for velocity and pressure gradient. The engineering quantities of interest such as pressure, roll-separating (load-carrying) force, and power input function are computed numerically. How the couple stress fluid material parameter affects velocity, pressure, pressure gradient, load-carrying force, and power input is shown graphically. One observes that couple stress model predicts higher pressure in the nip region when compared to the Newtonian model. The load-carrying force and power input exceed their Newtonian values for strong couple stress effects. Moreover, the separation point moves left of its Newtonian value with increasing couple stress effects.

“…Arcos et al 18 analyzed the calendering process using a Newtonian fluid with finite sheet thickness and temeperature-dependant viscosity. The influence of pressure-dependent viscosity on the exiting sheet thickness in calendering process was analyzed by Herna´ndez et al 19 Ali et al 20 used the FENE-P constitutive equation to describe the viscoelastic effects in the calendering process with finite sheet thickness. Sajid et al 21 provided the exact solution for the calendering analysis using third-order fluid.…”

Section: Introductionmentioning

confidence: 99%

Non-isothermal analysis of calendering using couple stress fluid

Atif

2017

Self Cite

The non-isothermal flow inside a calender is modeled and analyzed for a couple stress fluid. The governing flow equations are developed using conservation laws of mass, momentum and energy. An order of magnitude analysis is performed and leading terms in momentum and energy equations are retained. The reduced momentum equation is solved to obtain the exact expression for velocity and pressure gradient. The reduced energy equation is solved numerically using a hybrid numerical method. The significant effects of the involved parameters on the pressure, pressure gradient velocity profile, roll-separating force, power input, exiting sheet thickness and temperature are examined through various plots. The pressure inside the calender significantly increases with increased couple stress effects. For larger couple stress parameters, the power function and roll-separating function show steady state behavior. The two maxima are distinctly observed in temperature distribution near the roll surfaces for small couple stress effects c ! 1 ð Þ. In contrast, the temperature achieves maximum at center for strong couple stress effects c ! 0 ð Þ: