An exact solution for the calendering analysis of a third-order fluid. (April 2017)

• Record Type: Journal Article
• Authors: Sajid, Muhammad; Ali, Nasir; Javed, Muhammad Asif
• Is Part Of: Journal of plastic film and sheeting. Volume 33:Number 2(2017:Apr.)
• Page Start: 124
• Page End: 141
• Publication Date: 2017-04
• Subjects: Calendering -- third-order fluid -- exact solution -- lubrication theory -- sheet thickness; City planning -- Bibliography -- Periodicals; 668.495
• DOI: 10.1177/8756087916635855
• Languages: English
• ISSNs: 8756-0879

Abstract

This paper presents the exact solution for calendering a third-order fluid under lubrication approximation. The solution obtained is valid for all values of the third-order fluid parameter. This exact solution is compared to the perturbation solution. The results show that the perturbation solution is valid for very small values of the third-order fluid parameter. Therefore, no significant deviation from the corresponding results of the Newtonian fluid is observed with the perturbation solution. The interesting quantities for mechanically designing a calendering system such as the force separating the two rolls and total power input into both rolls are calculated and shown graphically for large third-order fluid parameter. The material's rheological features modify the pressure, flow characteristics, and all other operating variables significantly. In fact, the nip region pressure increases with increasing third-order fluid parameter. The exiting sheet thickness, power input, and roll separating force also increase with increasing third-order fluid parameter.