Planar and Spatial kinematic for vortex fluid flow behaviour by using perturbation parameter

Jérémie Gaston SAMBOU; Edouard DIOUF

doi:https://doi.org/10.14445/22315373/IJMTT-V67I5P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 5 | Year 2021 | Article Id. IJMTT-V67I5P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I5P506

Planar and Spatial kinematic for vortex fluid flow behaviour by using perturbation parameter

Jérémie Gaston SAMBOU, Edouard DIOUF

Citation :

Jérémie Gaston SAMBOU, Edouard DIOUF, "Planar and Spatial kinematic for vortex fluid flow behaviour by using perturbation parameter," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 5, pp. 49-62, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I5P506

Abstract

Our aim in this research paper is to elaborate two new kinematics of deformation of a particle fluid in a planar and spatial vortex for mathematical modelization of these natural phenomenons. Incompressibility condition, Rotational and divergence of velocity tensor are calculated in every case and in also two examples of fluid flow. The pressure is interpret by using a Bernoulli theorem. As results, we have: the same incompressible condition in the case of horizontal accelerated flow than in the case of a shearing flow and we have the pressure which decreases in the two motion. We have the same rotational between the planar vortex flow and the spatial vortex flow, what means that there is no influence of the z component in the rotional of these two vortex flows when ε=1. And we also show that for specific values of ε and Θ, we have the same values in calculated expressions between the planar vortex flow and the spatial vortex flow.

Keywords

Kinematic of deformation , isotropic elementary invariants, Incompressible deformation, Vortex flow, Rotational, Divergence, Bernoulli theorem.

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