
Analytic and Numerical Solutions of Couette Flow Problem: A Comparative Study
Author(s) -
Dhak Bahadur Thapa,
Kedar Nath Uprety
Publication year - 2017
Publication title -
journal of the institute of engineering
Language(s) - English
Resource type - Journals
ISSN - 1810-3383
DOI - 10.3126/jie.v12i1.16731
Subject(s) - couette flow , compressibility , work (physics) , partial differential equation , mathematics , flow (mathematics) , mathematical analysis , mechanics , physics , thermodynamics , geometry
In this work, an incompressible viscous Couette flow is derived by simplifying the Navier-Stokes equations and the resulting one dimensional linear parabolic partial differential equation is solved numerically employing a second order finit difference Crank-Nicolson scheme. The numerical solution and the exact solution are presented graphically.Journal of the Institute of Engineering, 2016, 12(1): 105-113