Sage Journals: Discover world-class research

Abstract

In this paper, the study of a non-Newtonian material when it is dragged through the narrow region between two co-rotating rolls is carried out. The conservation of mass and momentum equations based on lubrication theory are nondimensionalized and solved for the velocity and pressure fields using the perturbation technique. By considering the influence of the material parameter, the dimensionless leave-off distance in the calendering process is determined. The leave-off distance is expressed in terms of eigen value problem. Quantities of engineering interest like maximum pressure, the roll-separating force, and the power transmitted to the fluid by rolls are calculated. It is observed that the material parameter has great influence on detachment point, velocity, and pressure distribution, which are useful for the calendering process.

Keywords

Third-grade fluid calendering sheet thickness lubrication theory

Get full access to this article

View all access options for this article.

References

Tim A

Osswald

George

Menges

. Historical background. Material science of polymers for engineers, 2nd edn. Munch: Carl Hanser Verlag publishers, 2003, pp. 18–18.

Gaskell

. The calendering of plastic materials. J Appl Mech 1950; 17: 334–337.

Middleman

. Fundamentals of polymer processing, New York: McGraw-Hill, 1977.

Kiparissides

Vlachopoulos

. Finite element analysis of calendering. Polym Eng Sci 1976; 16: 712–719.

Kiparissides

Vlachopoulos

. A study of viscous dissipation in the calendering of power-law fluids. Polym Eng Sci 1978; 18: 210–214.

Mitsoulis

Vlachopoulos

Mirza

. Calendering analysis without the lubrication approximation. Polym Eng Sci 1985; 25: 6–18.

Agassant

J-F

Espy

. Theoretical and experimental study of the molten polymer flow in the calender bank. Polym Eng Sci 1985; 25: 113–121.

Zheng

Tanner

. A numerical analysis of calendering. J Non-Newtonian Fluid Mech 1988; 28: 149–170.

Agassant

J-F

Avenas

Sergent

J-Ph

. Polymer processing: principles and modeling, Munich: Hanser Publishers, 1991.

10.

Sofou

Mitsoulis

. Calendering of pseudoplastic and viscoplastic sheets of finite thickness. J Plast Film Sheeting 2004; 20: 185–222.

11.

Arcos

Méndez

Bautista

. Effect of temperature-dependent consistency index on the exiting sheet thickness in the calendering of power-law fluids. Int J Heat Mass Transfer 2011; 54: 3979–3986.

12.

Hernández A, Arcos J, Méndez F and Bautista O. Effect of pressure-dependent viscosity on the exiting sheet thickness in the calendering of Newtonian fluid. Applied Mathematical Modelling 2013; 37: 6952–6963.

13.

Siddiqui AM, Zahid M, Rana MA and Haroon. Effect of magnetohydrodynamics on Newtonian calendering. Journal of Plastic Film & Sheeting 2013; 29: 347–364.

14.

Fosdick

Rajagopal

. Thermodynamics and stability of fluids of third grade. Proc R Soc 1980; A339: 351–377.

15.

Siddiqui

Kaloni

. Plane steady flows of a third grade fluid. Int J Eng Sci 1987; 25: 171–188.

16.

Bejan

. Convection heat transfer, NewYork: Wiley, 2004.

Calendering analysis of a third-order fluid

Abstract

Keywords

Get full access to this article

References