A shear flow problem for compressible viscous micropolar fluid: Derivation of the model and numerical solution

2019 ◽  
Vol 162 ◽  
pp. 249-267 ◽  
Author(s):  
Ivan Dražić ◽  
Nelida Črnjarić-Žic ◽  
Loredana Simčić
Keyword(s):  
Shear Flow ◽  
Numerical Solution ◽  
Micropolar Fluid ◽  
Flow Problem

Effect of Viscous Dissipation on MHD Williamson Nanofluid Flow in a Porous Medium

2019 ◽  
Vol 8 (3) ◽  
pp. 5795-5802 ◽  
Keyword(s):  
Porous Medium ◽  
Steady State ◽  
Numerical Solution ◽  
Viscous Dissipation ◽  
Flow Problem ◽  
Numerical Study ◽  
Steady State Flow ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Order Four

The main objective of this paper is to focus on a numerical study of viscous dissipation effect on the steady state flow of MHD Williamson nanofluid. A mathematical modeled which resembles the physical flow problem has been developed. By using an appropriate transformation, we converted the system of dimensional PDEs (nonlinear) into coupled dimensionless ODEs. The numerical solution of these modeled ordinary differential equations (ODEs) is achieved by utilizing shooting technique together with Adams-Bashforth Moulton method of order four. Finally, the results of discussed for different parameters through graphs and tables.

Wavelet Lifting Scheme for the Numerical Solution of Dynamic Reynolds Equation for Micropolar Fluid Lubrication

2021 ◽  
pp. 2150033
Author(s):  
S. C. Shiralashetti ◽  
M. H. Kantli ◽  
A. B. Deshi
Keyword(s):  
Numerical Solution ◽  
Micropolar Fluid ◽  
Reynolds Equation ◽  
Lifting Scheme ◽  
Computational Time ◽  
Biorthogonal Wavelets ◽  
Wavelet Theory ◽  
Science And Engineering ◽  
Promising Tool ◽  
Wavelet Lifting

Recently, wavelet theory has become a well recognized promising tool in science and engineering field; especially, wavelets are successfully used in fast algorithms for easy execution. In this paper, we developed wavelet lifting scheme using orthogonal and biorthogonal wavelets for the numerical solution of dynamic Reynolds equation for micropolar fluid lubrication. The numerical results gained through proposed scheme are compared with the exact solution to expose the accuracy with speed of convergence in lesser computational time as compared with the existing methods. The examples are given to demonstrate the applicability and attractiveness of proposed method.

The specification and numerical solution of a benchmark swirling laminar flow problem

1984 ◽  
Vol 12 (4) ◽  
pp. 281-292 ◽  
Author(s):  
D.J. Silvester ◽  
R.W. Thatcher ◽  
J.C. Duthie
Keyword(s):  
Laminar Flow ◽  
Numerical Solution ◽  
Flow Problem
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