Converting Eq. (3.8.9) to polar coordinates by replacing 
, we can obtain,
 |
(3.8.10) |
Here, the first part of integration is performed from the leading edge (i.e. front point) and moving over the top surface. In the second part, the integration is done from the leading edge moving over the bottom portion of the cylinder. Finally, Eq. (3.8.10) can be written as,
 |
(3.8.11) |
Substitute the value of cp from Eq.(3.8.8) in Eq.(3.8.11),
 |
(3.8.12) |
Use the following trigonometric relations in Eq. (3.8.12);
 |
(3.8.13) |
It leads to 
, which implies that the drag on a cylinder in an inviscid, incompressible flow is zero, regardless of whether or not the flow has circulation about the cylinder. The lift can be evaluated in the similar manner from the first principle i.e.
 |
(3.8.14) |
Converting Eq. (3.8.14) to polar coordinates by replacing 
, we can obtain,
 |
(3.8.15) |
Substitute the value of cp from Eq.(3.8.8) in Eq.(3.8.15),
 |
(3.8.16) |