Journal of Computational Applied Mechanics

Exact solutions for Two-dimensional flow of Fractional NTNN fluid within an oscillatory rectangular enclosure

Document Type : Research Paper

Authors

1 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan

2 Department of Mathematics and Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia

3 Department of Mathematics, Wenzhou University, Wenzhou, 325035, China

4 Department of Industrial Engineering, OSTIM Technical University, Ankara 06374, Türkiye

Abstract

In this paper, we present an analysis for the unsteady two-dimensional flow of incompressible fractional NTNN model. The purpose of this research is to detect exact solutions for the cosine oscillation inside an oscillating rectangular duct having fractional fluid. The mixed initial-boundary value problem is simplified by using Laplace and double finite Fourier sine transform. The impacts of pertinent parameters on the velocity profile and the corresponding shear stresses are analyzed through graphical illustrations for cosine oscillation. Our results indicate that the fluid's flow rises in correlation with fractional and rheological factors, such as α,N,ω, and t. As limiting cases of exact solution, the results can also be obtained for the ordinary NTNN and Newtonian fluid.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 56, Issue 2
April 2025
Pages 457-469
  • Receive Date: 15 February 2025
  • Revise Date: 02 March 2025
  • Accept Date: 04 March 2025