The equation of specific streamlines passing through the stagnation points 
and B 
' is obtained by assigning the constant appearing in Eq. (3.6.11) as 0.
 |
(3.6.12) |
The body-half width (h) can be obtained by determining the value y where the y -axis intersects streamline 
, Thus, from Eq. (3.6.9), one can obtain the body half width with 
.
 |
(3.6.13) |
From the above mathematical analysis the following physical interpretation can be made;
- • The stagnation streamline described by Eq. (3.6.12), is the equation of an oval and is the dividing streamline. This particular shape is called as “Rankine Oval”. All the flow from the source is consumed by the sink and is contained entirely inside the oval. The flow outside the oval is originated through uniform flow only and can be interpreted as inviscid, irrotational and incompressible flow over solid body. Also, the potential solution for the Rankine oval gives the reasonable approximation of velocity outside the thin, viscous boundary layer and pressure distribution on the front part of the body.
• Using Eqs. (3.6.10) and (3.6.13), a large variety of body shapes with different length to width ratio can be obtained for different values of the parameter 
. As this parameter becomes large, the flow around a slender body is described while the smaller values give the flow field around a blunt shape body.