Question

A 40-mm diameter circular pipe carries water at 20°C. Calculate the largest flow rate for which laminar flow can be expected. Solution: The kinematic viscosity of water at 20°C is = 1.00 x 10^-6 m²/sec (from table). Taking NR = 2,000 as the conservative upper limit for laminar flow, the velocity can be determined from the following equation. NR = vD / ? Therefore, v = ?NR / D To find Q, the flow rate, use Q = vA Ans. V= .05 m/s Q = 6.28 x 10^-5 m³/s

          A 40-mm diameter circular pipe carries water at 20°C. Calculate the largest flow rate for which laminar flow can be expected.

Solution:
The kinematic viscosity of water at 20°C is = 1.00 x 10^-6 m²/sec (from table).
Taking NR = 2,000 as the conservative upper limit for laminar flow, the velocity can be determined from the following equation.

NR = vD / ?

Therefore,
v = ?NR / D

To find Q, the flow rate, use
Q = vA

Ans.
V= .05 m/s
Q = 6.28 x 10^-5 m³/s

A 40-mm diameter circular pipe carries water at 20°C. Calculate the largest flow rate for which laminar flow can be expected.

Solution:
The kinematic viscosity of water at 20°C is = 1.00 x 10^-6 m²/sec (from table).
Taking NR = 2,000 as the conservative upper limit for laminar flow, the velocity can be determined from the following equation.

NR = vD / ?

Therefore,
v = ?NR / D

To find Q, the flow rate, use
Q = vA

Ans.
V= .05 m/s
Q = 6.28 x 10^-5 m³/s

Added by Mercedes J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supratim Pal

12/26/2023

Step 1

First, we need to find the velocity (v) of the water. We know that the kinematic viscosity (n) of water at 20°C is 1.00 x 10^(-6) m^2/s. We also know that the diameter (D) of the pipe is 40 mm or 0.04 m. The conservative upper limit for laminar flow (Na) is 2.000. Show more…

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A 40-mm diameter circular pipe carries water at 20°C. Calculate the largest flow rate for which laminar flow can be expected. Solution: The kinematic viscosity of water at 20°C is 1.00 x 10^-6 m^2/s from the table. Taking NR = 2,000 as the conservative upper limit for laminar flow, the velocity can be determined from the following equation: NR = vD / η Therefore, v = ηNR / D To find Q, the flow rate, use: Q = vA Ans. V = .05 m/s Q = 6.28 x 10^-5 m^3/s