ETD Collection

Permanent URI for this collectionhttps://wiredspace.wits.ac.za/handle/10539/104


Please note: Digitised content is made available at the best possible quality range, taking into consideration file size and the condition of the original item. These restrictions may sometimes affect the quality of the final published item. For queries regarding content of ETD collection please contact IR specialists by email : IR specialists or Tel : 011 717 4652 / 1954

Follow the link below for important information about Electronic Theses and Dissertations (ETD)

Library Guide about ETD

Browse

Filters

20191

Settings

Author: search.filters.author.Banda, SiphoSubject: search.filters.subject.Differential equations--Numerical solutions

Search Results

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    Review of stokes flow past a sphere
    (2019) Banda, Sipho
    The slow viscous incompressible flow past a stationary sphere is studied. We review Stokes and Oseen approximations. The stream function approach is used to derive the solutions of incompressible fluid flow that were obtained by Stokes and Oseen. We solve the Stokes expansion using Mathematica and the code is given in the algorithms. The explicit finite difference method (FDM) is used to solve the fourth order differential equation that was derived from the full Navier-Stokes equations. We also investigate numerical solutions to the Stokes expansion using standard (FDM) in Mathematica. Using FDM iteratively we can find approximate solutions to higher moments in the stream function and compare these solutions with those found from the numerical solutions to the full Navier-Stokes equations.