𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized Gear's method for computing the flow of a viscoelastic fluid

✍ Scribed by P.Donald Ariel

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
958 KB
Volume
142
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

A fourth-order predictor-corrector method is developed for obtaining the numerical solution of a class of singular boundary value problems in which the highest derivative is further multiplied by a parameter which can take arbitrarily small values. First, the method is tested on a prototype linear differential equation. It is then used to compute the two-dimensional stagnation point flow of a viscoelastic fluid. Finally, the flow over a stretching sheet is computed for which an exact solution exists. The comparison of the results shows that the method gives highly accurate results for a moderately sized integration step

πŸ“œ SIMILAR VOLUMES

A hybrid method for computing the flow o
A hybrid method for computing the flow of viscoelastic fluids
✍ P. D. Ariel πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 731 KB

## Abstract A hybrid method for computing the flow of viscoelastic and second‐order fluids is presented. It combines the features of the finite difference technique and the shooting method. The method is accurate because it uses central differences. Its convergence is at least superlinear. The met