scholarly journals The solution spaces of non-linear partial differential equations of elliptic type on compact manifolds

1973 ◽  
Vol 49 (6) ◽  
pp. 385-389 ◽  
Author(s):  
Toshikazu Sunada
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Compact Manifolds ◽  
Elliptic Type ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Non Linear

ON TAYLOR'S SCRAPING PROBLEM AND FLOW OF A SISKO FLUID

2009 ◽  
Vol 14 (4) ◽  
pp. 515-529 ◽  
Author(s):  
Abdul M. Siddiqui ◽  
Ali R. Ansari ◽  
Ahmed Ahmad ◽  
N. Ahmad
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Viscous Fluid ◽  
Normal Stress ◽  
Partial Differential ◽  
Sisko Fluid ◽  
Linear Partial Differential Equations ◽  
Non Linear ◽  
Special Case

The aim of the present investigation is to study the properties of a Sisko fluid flowing between two intersecting planes. The problem is similar to Taylor's scraping problem for a viscous fluid. We determine the solution of the complicated set of non‐linear partial differential equations describing the flow analytically. The analysis is carried out in detail reflecting the effects of varying the angle of the scraper on the flow. In addition, the tangential and normal stress are also computed. We also show the well known Taylor scraper problem as a special case.

Sign in / Sign up

Export Citation Format

Share Document