Iterative Cubic Spline Technique To Approximate
Two-Dimensional And Axisymmetric Flow of A
Viscous Incompressible Fluid

Pinky Shah; Priti Tandel

doi:https://doi.org/10.14445/22315373/IJMTT-V67I8P521

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 8 | Year 2021 | Article Id. IJMTT-V67I8P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I8P521

Iterative Cubic Spline Technique To Approximate Two-Dimensional And Axisymmetric Flow of A Viscous Incompressible Fluid

Pinky Shah, Priti Tandel

Citation :

Pinky Shah, Priti Tandel, "Iterative Cubic Spline Technique To Approximate Two-Dimensional And Axisymmetric Flow of A Viscous Incompressible Fluid," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 8, pp. 175-184, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I8P521

Abstract

The present paper contains the study of the two-dimensional axisymmetric flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates. The flow problem is governed by non-linear fourth order differential equation which is solved using iterative spline collocation method. Solutions are obtained for axisymmetric as well as two dimensional squeezing flow at different values of a squeeze number. Impacts of various physical parameters on the flow field are examined and shown graphically. For validation of the method,the obtained numerical results are compared with Homotopy perturbration method (HPM) graphically. The proposed work also emphasizes the application of spline collocation method to the nonlinear ordinary differential equations.

Keywords

Non-linear differential equation, Spline collocation method, Squeezing flow

References

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