Exact solutions for Two-dimensional flow of Fractional NTNN fluid within an oscillatory rectangular enclosure | ||
| Journal of Computational Applied Mechanics | ||
| دوره 56، شماره 2، تابستان 2025، صفحه 457-469 اصل مقاله (745.48 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2025.390562.1370 | ||
| نویسندگان | ||
| Sohail Nadeem* 1، 2، 3؛ Sobia Naz1؛ Bushra Ishtiaq1؛ Jehad Alzabut2، 4 | ||
| 1Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan | ||
| 2Department of Mathematics and Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia | ||
| 3Department of Mathematics, Wenzhou University, Wenzhou, 325035, China | ||
| 4Department of Industrial Engineering, OSTIM Technical University, Ankara 06374, Türkiye | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Fractional calculus؛ Fractional Nadeem trigonometric non-Newtonian Model؛ Non-Newtonian fluid؛ Oscillating rectangular duct | ||
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