The degree of reaction
|
(10.3) |
With the help of Eq. (10.2), it becomes
and
By adding up Eq. (9.1) and Eq. (9.2) we get
Replacing
and
in the expression for
with
and ,
As the case of 50% reaction blading is important in design, it is of interest to see the result for Λ =0.5 ,
and it follows from Eqs. (9.1) and (9.2) that
i.e. |
(10.5a) |
i.e. |
(10.5b) |
Furthermore since is constant through the stage.
And since we have initially assumed that , it follows that . Because of this equality of angles, namely, and , blading designed on this basis is sometimes referred to as symmetrical blading .The 50% reaction stage is called a repeating stage.
It is to be remembered that in deriving Eq. (10.4) for , we have implicitly assumed a work done factor
of unity in making use of Eq. (10.2). A stage designed with symmetrical blading is referred to as 50% reaction stage, although will differ slightly for λ.
|