The velocity field to unsteady fluid flow in a circular cylinder with generalized caputo fractional derivative

• Autorzy: Eman Mohamed M. , Kader Abass H. Abdel

Identyfikatory

DOI

10.17512/jamcm.2024.4.06

• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the velocity field corresponding to the unsteady flow of a second-grade fluid with a generalized Caputo fractional derivative in a circular cylinder. The analytical solution of the velocity field has been obtained utilizing the Laplace and the finite Hankel transforms. The solution is obtained in terms of a series containing the Mittag-Leffler functions, being the generalization of the exponential function. The effect of the fractional parameters and on fluid motion are illustrated graphically for three different cases. The model discussed in this work is more general and can be applied to other fluid models.

Słowa kluczowe

EN

Caputo fractional derivative; Laplace transform; finite Hankel transform; Mittag-Leffler function

PL

Pochodna frakcyjna Caputo; transformata Laplace'a; skończona transformata Hankela; funkcja Mittag-Lefflera

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 4
• Strony: 66--75
• Opis fizyczny: Bibliogr. 27 poz., rys.

Twórcy

autor

Eman Mohamed M.

• Department of Mathematics, Faculty of Science, Damietta University Damietta, Egypt

autor

Kader Abass H. Abdel

• Department of Mathematics and Engineering Physics, Engineering Faculty, Mansoura University Mansoura, Egypt

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).