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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-8
Year of Publication : 2021
Authors : Pinky Shah, Priti Tandel
  10.14445/22315373/IJMTT-V67I8P521

MLA

MLA Style: 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 67.8 (2021):175-184. 

APA Style: Pinky Shah, Priti Tandel(2021). Iterative Cubic Spline Technique To Approximate Two-Dimensional And Axisymmetric Flow of A Viscous Incompressible Fluid International Journal of Mathematics Trends and Technology, 67(8), 175-184.

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.

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