A New Analytical-Approximate Solution for the Viscoelastic Squeezing Flow Between Two Parallel Plates

Authors

Abdul-Sattar J. A. Al-Saif, Department of Mathematics, College of education for pure Science, University of Basrah, Basrah, Iraq.Follow
Abeer Majeed Jasim, Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq.Follow

Author Country (or Countries)

Iraq.

Abstract

In this paper, a new approach is used to study analytically the axisymmetric fluid squeezed between two parallel plates. This new approach depends mainly on the coefficients of powers series resulting from integrating nth order differential equation with known data. We obtianed an analytical-approximate solution for the squeezing flow between two parallel plates. The steady non-linear governing partial differential equations are converted by using the suitable similarity transformation into ordinary differential equation. In addition, some theorems are introduced to prove the convergence of a new approach theoretically and explain the verifications of these theorems computationally. The results domenstrate this new approach is efficient and reasonable which compare with the results of the other methods.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130204

Recommended Citation

J. A. Al-Saif, Abdul-Sattar and Majeed Jasim, Abeer (2019) "A New Analytical-Approximate Solution for the Viscoelastic Squeezing Flow Between Two Parallel Plates," Applied Mathematics & Information Sciences: Vol. 13: Iss. 2, Article 4.
DOI: http://dx.doi.org/10.18576/amis/130204
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss2/4