Basuki Widodo, Chairul Imron : The Numerical Solution Of Free Convection Flow Of Viscoelastic Fluid Past Over A Sphere

Prof. Dr. Basuki Widodo M.Sc.
Drs. Chairul Imron MI.Komp.

Year

-

Published in

Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2015, Yogyakarta State University, 17-19 May 2015

External link

Type

Seminar Internasional

Keywords

Navier-Stokes, Explicit Finite Difference Method, Viscoelastic, Prandtl number


Abstract

Free convection flow is heat transfer on fluid caused by buoyancy forces because of density difference. We further use The boundary layer theory to obtain governing equations. The governing equations are further transformed into non-dimensional and then transformed into the non-similar governing equation. The non-similar governing equations are solved numerically by using explicit finite difference method. The numerical results are analyzed correlation viscoelastic and Prandtl number with velocity and temperature profile. Based on the numerical results of free convection flow of viscoelastic fluid past over a sphere, we obtained that the velocity profile decreases when we apply the increasing in the values of viscoelastic and Prandtl number. The temperature profiles increases with the increasing in the values of viscoelastic, but decreases when the values of Prandtl number increases