her0'es a question on fluid mechanics:
i need help in showing how to arrive at the expressions
3 a)
Air obeying Boyles law [imath] p=k \rho [/imath] is in motin in a uniform tube of small
cross-sectional area. show that if [imath] \rho [/imath] is the density and u is the velocity
at a distance x from a fixed point a; and t is time , this is true:
and here's another , any clues on how to start?
3 b. A steam is rushing from a boiler throught a conical pipe, the diameters of the ends a
being D and d . if v and u are the corresponding velocities of the steam an if the motion is
supposed to be that of divergence from the vortex of the cone prove that
where k is the pressure divide by the density and its a constant ie [imath] k= \frac{p}{\rho} [/imath]
note its getting in at one end with a velocity [imath] v [/imath] and density [imath] \rho_1 [/imath]
and out the other side with [imath] u [/imath] and [imath] \rho_2 [/imath]
i had posted the here mathbin.net/37252 but i managed the others this is whats troubling me