2021
DOI: 10.29072/basjs.2021302
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Development of algorithm for Newtonian compressible fluid flow based on finite element method

Abstract: In this article, we present the numerical investigation for compressible Newtonian flow in two dimensional axisymmetric channel. Galerkin finite element method is applied to accommodate compressible and incompressible flows. A continuity equation and time-dependent conservation of momentum equations are used to describe the motion of the fluid, which are maintained in the cylindrical coordinate system (axisymmetric). To meet the method analysis, Poiseuille flow along a circular channel under an isothermal stat… Show more

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“…Many researchers have made great efforts to discuss solutions to the problems of flowing Newtonian and non-Newtonian fluids numerically and analytically, such as Mahmood et al, [2], who solved the problem of the effect of thermal buoyancy force on the flow of an unstable third-order magneto hydrodynamic (MHD) fluid with convective cooling by using the finite element method for calculating fluid velocity and temperature. Mohammed et al, [3] applied the finite element method to the equation of continuity and energy conservation for the flow of a compressible Newtonian fluid in a two-dimensional channel. Chinyoka and Makinde [4] suggested the finite difference method to MHD for a third-order fluid flow with ohm heating.…”
Section: Introductionmentioning
confidence: 99%
“…Many researchers have made great efforts to discuss solutions to the problems of flowing Newtonian and non-Newtonian fluids numerically and analytically, such as Mahmood et al, [2], who solved the problem of the effect of thermal buoyancy force on the flow of an unstable third-order magneto hydrodynamic (MHD) fluid with convective cooling by using the finite element method for calculating fluid velocity and temperature. Mohammed et al, [3] applied the finite element method to the equation of continuity and energy conservation for the flow of a compressible Newtonian fluid in a two-dimensional channel. Chinyoka and Makinde [4] suggested the finite difference method to MHD for a third-order fluid flow with ohm heating.…”
Section: Introductionmentioning
confidence: 99%