Derivation of Johnson-Segalman Model in Cylindrical Co-ordinates

M. O. Mosa*
*Mathematics Teacher, Sudan International Grammar School, Sudan.
Periodicity:April - June'2019
DOI : https://doi.org/10.26634/jmat.8.2.16389

Abstract

The Johnson-Segalman model is a viscoelastic fluid model for non-affine deformations. However, non-Newtonian fluid is a fluid with properties that differ in any way from Newtonian fluids. The focus of this paper is deriving of Johnson-Segalman model in cylindrical co-ordinates (r, q, z). The continuity equation, momentum equation were derived from vector form to differential form. The Johnson-Segalman model was derived in cylindrical co-ordinates and system of partial differential equations were obtained.

Keywords

Johnson-Segalman model, cylindrical co-ordinates, Cauchy stress tensor, system of partial differential equation.

How to Cite this Article?

Mosa, M. O. (2019). Derivation Of Johnson-Segalman Model In Cylindrical Co-Ordinates. i-manager's Journal on Mathematics, 8(2), 15-24. https://doi.org/10.26634/jmat.8.2.16389

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