If r^4 = 9 and ΔP = 10, what is Flow?

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Multiple Choice

If r^4 = 9 and ΔP = 10, what is Flow?

Flow through a tube in laminar conditions scales with the fourth power of the radius and with the pressure difference across the tube. In Poiseuille’s law, the flow rate is proportional to r^4 ΔP. When you’re given r^4 and ΔP, you multiply them to get the flow factor (the constant terms like viscosity and tube length just scale the final value). Here r^4 is 9 and ΔP is 10, so the product is 9 × 10 = 90. The full equation is Q = (π r^4 ΔP)/(8 μ L), which would introduce those constants, but with the provided numbers the proportional flow value is 90.

Flow through a tube in laminar conditions scales with the fourth power of the radius and with the pressure difference across the tube. In Poiseuille’s law, the flow rate is proportional to r^4 ΔP. When you’re given r^4 and ΔP, you multiply them to get the flow factor (the constant terms like viscosity and tube length just scale the final value).

Here r^4 is 9 and ΔP is 10, so the product is 9 × 10 = 90. The full equation is Q = (π r^4 ΔP)/(8 μ L), which would introduce those constants, but with the provided numbers the proportional flow value is 90.

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