- #1
WhiteWolf98
- 86
- 5
- Homework Statement
- As shown in Figure. 12.5, consider a case where fluid discharges from the origin (point O) at quantity ##q## per unit time. Putting velocity in the radial direction on a circle of radius ##r## to ##v_r##, the discharge ##q## per unit thickness is ##2\pi r v_r =constant##.
- Relevant Equations
- ##q=2\pi r v_r =constant##
##Q=Av##
This is actually right at the start of another derivation, but I can't understand how the author gets the formula for ##q##. So the discharge per unit thickness is the circumference of the circle, multiplied by the velocity at that point (at ##r##)? I thought the formula for flow rate was ##Q=Av##, so I just can't work this out in my head.
Thank you
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