Thank you all again for your answers!!
@
shan: again sorry am not trying to doubt the experience of Art in any way, is just that am having a doubt and am trying to understand the logic behind the results of that problem..
profe in his second post, explain perfectly the logic behind the problem. if "
beta" is equal to 1 (like it will be with the initial conditions), then
Vm (1.58) is greater than
V (1.07), and you need to use a smaller valve diameter to meet the conditions..
Using the next smaller diameter,
beta is equal to 0.7 (2.5/3),
Vm is equal to 1.1, and
V is equal to 1.62.
In this case
Vm is smaller than
V, and the condition is satisfy..
So the problem is either that the crane book is not solving the problem explicitly enough, and they are omitting one step (the second calculation of
beta an
Vm), or they made a mistake that gave them a similar result, yielding to the same conclusion by not calculating
Vm again, because in that case
Vm is still 1.58, which is smaller than the second calculation of
V (1.62)..
@
katmar: thanks you so much for your words!! they actually motivate me to keep analyzing and trying to find the logic behind the problems!!
thank you all for helping me!!