Irrotational axisymmetric flow about a prolate spheroid in cylindrical duct

1974 ◽  
Vol 8 (4) ◽  
pp. 315-327
Author(s):  
T. Miloh
1964 ◽  
Vol 8 (03) ◽  
pp. 24-37
Author(s):  
L. Landweber

The present work is the first of a two-part contribution to the development of hydrodynamic procedures for determining forces on ship forms immersed in an external potential flow. In this first part, the case of a prolate spheroid in an axisymmetric flow is considered, and exact and linearized expressions for the image system of sources and doublets, valid under certain conditions, have been obtained. By means of the Lagally theorem, these yield the values of the forces acting on the spheroid for both steady and unsteady flow. The case of an external potential flow due to a source on the axis of symmetry is considered in detail. In the second part the results for a prolate spheroid in asymmetric flows will be presented.


AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 266-274
Author(s):  
Michael C. Goody ◽  
Roger L. Simpson ◽  
Christopher J. Chesnakas

2014 ◽  
Vol 15 (2) ◽  
pp. 278-287 ◽  
Author(s):  
Abdon Atangana ◽  
Ernestine Alabaraoye

We described a groundwater model with prolate spheroid coordinates, and introduced a new parameter, namely τ the silhouette influence of the geometric under which the water flows. At first, we supposed that the silhouette influence approaches zero; under this assumption, the modified equation collapsed to the ordinary groundwater flow equation. We proposed an analytical solution to the standard version of groundwater as a function of time, space and uncertainty factor α. Our proposed solution was in good agreement with experimental data. We presented a good approximation to the exponential integral. We obtained an asymptotic special solution to the modified equation by means of the Adomian decomposition and variational iteration methods.


2010 ◽  
Vol 7 ◽  
pp. 182-190
Author(s):  
I.Sh. Nasibullayev ◽  
E.Sh. Nasibullaeva

In this paper the investigation of the axisymmetric flow of a liquid with a boundary perpendicular to the flow is considered. Analytical equations are derived for the radial and axial velocity and pressure components of fluid flow in a pipe of finite length with a movable right boundary, and boundary conditions on the moving boundary are also defined. A numerical solution of the problem on a finite-difference grid by the iterative Newton-Raphson method for various velocities of the boundary motion is obtained.


2021 ◽  
Vol 33 (7) ◽  
pp. 074106
Author(s):  
Zhe Wang ◽  
Jianzhi Yang ◽  
Helge I. Andersson ◽  
Xiaowei Zhu ◽  
Minghou Liu ◽  
...  

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