Calculating the Speed Training of a Sphere in Fluid Flow

Hicham Dahel(1*), A. Hamlaoui(2)

(1) Université Paris 6 - Institut Jean Le Rond d'Alembert, 4 Place Jussieu 75252 Paris Cedex 05, France
(2) Département de Mathématiques, Faculté des Sciences, Université Badji Mokhtar Annaba, Algeria
(*) Corresponding author


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Abstract


In this article, we are interested in the equation of a solid particle trained in a Poiseuille flow type. The model used in the literature includes integro-differential equations which were treated numerically. It is noticed that the difficulty in these equations comes from the force of history which is expressed like a kernel integral, type of Abel. While using an expression of the integral equation of Abel, we solve the equation of the sphere analytically. The final result is that the exact solution can be substituted for the approximate solution obtained previously by other authors
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Keywords


Particle; Fluid; Integral of Abel

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References


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