Fluid Flow
More generally: F ????//?dv/ds
for tubes (cylindrical hoses) with constant velocity (Fapplied = Fresisted, F = DP*A? )
?? ??P????r????????2?rL) dv/dr
which is a differential equation that leads to:
v?r????????P/4?L] * [R2-r2]
further: Q = ?V/?t, so dQ = v*dA which can be integrated to give:
Q = ???P)R4 / (8?L) wherewhere ?P = Plost