Calendering analysis of a non-newtonian material

Abdul M. Siddiqui, M. Zahid, M. A. Rana, T. Haroon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this investigation, the study of a non-Newtonian material when it is dragged through the narrow region between two corotating rolls is carried out. Theoretical analysis based on the lubrication approximation theory (LAT) shows that LAT is a good predictive tool for calendering, where the sheet thickness is very small compared with the roll size. 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 eigenvalue problem. Quantities of engineering interest like the maximum pressure, the roll-separating force, the power transmitted to the fluid by rolls, and the normal stress effect 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.

Original languageEnglish (US)
Title of host publicationAdvances in Applied Mathematics
EditorsAli R. Ansari
PublisherSpringer New York LLC
Pages179-196
Number of pages18
ISBN (Electronic)9783319069227
DOIs
StatePublished - Jan 1 2014
EventGulf International Conference on Applied Mathematics, GICAM 2013 - Kuwait, Kuwait
Duration: Nov 19 2013Nov 21 2013

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume87
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherGulf International Conference on Applied Mathematics, GICAM 2013
CountryKuwait
CityKuwait
Period11/19/1311/21/13

Fingerprint

Lubrication Approximation
Lubrication Theory
Approximation Theory
Pressure Distribution
Velocity Distribution
Dimensionless
Eigenvalue Problem
Theoretical Analysis
Engineering
Fluid
Influence

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Siddiqui, A. M., Zahid, M., Rana, M. A., & Haroon, T. (2014). Calendering analysis of a non-newtonian material. In A. R. Ansari (Ed.), Advances in Applied Mathematics (pp. 179-196). (Springer Proceedings in Mathematics and Statistics; Vol. 87). Springer New York LLC. https://doi.org/10.1007/978-3-319-06923-4__17
Siddiqui, Abdul M. ; Zahid, M. ; Rana, M. A. ; Haroon, T. / Calendering analysis of a non-newtonian material. Advances in Applied Mathematics. editor / Ali R. Ansari. Springer New York LLC, 2014. pp. 179-196 (Springer Proceedings in Mathematics and Statistics).
@inproceedings{0943a8e86408492da1ac7a8071809fc0,
title = "Calendering analysis of a non-newtonian material",
abstract = "In this investigation, the study of a non-Newtonian material when it is dragged through the narrow region between two corotating rolls is carried out. Theoretical analysis based on the lubrication approximation theory (LAT) shows that LAT is a good predictive tool for calendering, where the sheet thickness is very small compared with the roll size. 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 eigenvalue problem. Quantities of engineering interest like the maximum pressure, the roll-separating force, the power transmitted to the fluid by rolls, and the normal stress effect 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.",
author = "Siddiqui, {Abdul M.} and M. Zahid and Rana, {M. A.} and T. Haroon",
year = "2014",
month = "1",
day = "1",
doi = "10.1007/978-3-319-06923-4__17",
language = "English (US)",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "179--196",
editor = "Ansari, {Ali R.}",
booktitle = "Advances in Applied Mathematics",

}

Siddiqui, AM, Zahid, M, Rana, MA & Haroon, T 2014, Calendering analysis of a non-newtonian material. in AR Ansari (ed.), Advances in Applied Mathematics. Springer Proceedings in Mathematics and Statistics, vol. 87, Springer New York LLC, pp. 179-196, Gulf International Conference on Applied Mathematics, GICAM 2013, Kuwait, Kuwait, 11/19/13. https://doi.org/10.1007/978-3-319-06923-4__17

Calendering analysis of a non-newtonian material. / Siddiqui, Abdul M.; Zahid, M.; Rana, M. A.; Haroon, T.

Advances in Applied Mathematics. ed. / Ali R. Ansari. Springer New York LLC, 2014. p. 179-196 (Springer Proceedings in Mathematics and Statistics; Vol. 87).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Calendering analysis of a non-newtonian material

AU - Siddiqui, Abdul M.

AU - Zahid, M.

AU - Rana, M. A.

AU - Haroon, T.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - In this investigation, the study of a non-Newtonian material when it is dragged through the narrow region between two corotating rolls is carried out. Theoretical analysis based on the lubrication approximation theory (LAT) shows that LAT is a good predictive tool for calendering, where the sheet thickness is very small compared with the roll size. 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 eigenvalue problem. Quantities of engineering interest like the maximum pressure, the roll-separating force, the power transmitted to the fluid by rolls, and the normal stress effect 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.

AB - In this investigation, the study of a non-Newtonian material when it is dragged through the narrow region between two corotating rolls is carried out. Theoretical analysis based on the lubrication approximation theory (LAT) shows that LAT is a good predictive tool for calendering, where the sheet thickness is very small compared with the roll size. 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 eigenvalue problem. Quantities of engineering interest like the maximum pressure, the roll-separating force, the power transmitted to the fluid by rolls, and the normal stress effect 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.

UR - http://www.scopus.com/inward/record.url?scp=84927619871&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84927619871&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-06923-4__17

DO - 10.1007/978-3-319-06923-4__17

M3 - Conference contribution

AN - SCOPUS:84927619871

T3 - Springer Proceedings in Mathematics and Statistics

SP - 179

EP - 196

BT - Advances in Applied Mathematics

A2 - Ansari, Ali R.

PB - Springer New York LLC

ER -

Siddiqui AM, Zahid M, Rana MA, Haroon T. Calendering analysis of a non-newtonian material. In Ansari AR, editor, Advances in Applied Mathematics. Springer New York LLC. 2014. p. 179-196. (Springer Proceedings in Mathematics and Statistics). https://doi.org/10.1007/978-3-319-06923-4__17