Question

Air flows along a horizontal, curved streamline with a 22-ft radius at a streamline speed of 80 ft/s. Determine the pressure gradient normal to the streamline.

Answer 1

`(dP)/(dn)= - 0.6924`slug\ft2 s2

Step-by-step explanation:

data provided:

radius along which air flow = 22 ft

speed of streamline v = 80 ft/sec

we know that
`-\gamma (dZ)/(dn) -(dP)/(dn) = (\rho v^2)/(R)`

`(dZ)/(dn) = 0`As stream line is horizontal

`(dP)/(dn) = - (\rho v^2)/(R)`

`\rho \ of\ air  = - 0.00238 slug\ft3`

`= - (-0.00238*80^2)/(22)`

`(dP)/(dn)= - 0.6924`slug\ft2 s2