Physics, 15.04.2020 17:24 MilanPatel

A pressure difference of 6.00 x 104 Pa is required to maintain a volume flow rate of 0.400 m3 /s for a viscous fluid flowing through a section of cylindrical pipe that has a radius 0.330 m. What pressure difference is required to maintain the same volume flow rate if the radius of the pipe is decreased to 0.110 m?

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Answer from: smarty5187

(P₁ - P₂)f = 4.86*10⁶ Pa

Explanation:

To determine how variables affect the flow rate of an incompressible fluid undergoing laminate flow in a cylindrical tube, we use Poiseuille's equation.

Q = Πr⁴ / 8η * [(p₁ - p₂) / L]

Q = 0.40 m³/s

P₁ - P₂ = 6*10⁴ pa

r₁ = 0.33m

r₂ = 0.11m

According to Poiseuille's law, the pressure difference is inversely proportional to the radius of the pipe raised to power of 4.

P₁ - P₂ = 1 / r⁴

(P₁ - P₂)i / (P₁ - P₂)f = R⁴f / Ri⁴

Saving for (P₁ - P₂)f

(P₁ - P₂)f = (Rf⁴ / Ri⁴) * (P₁ - P₂)i

(P₁ - P₂)f = [(0.33)⁴ / (0.11)⁴] = 6*10⁴

(P₁ - P₂)f = 4.86*10⁶pa.

Answer from: Destinationz

The pressure difference required to maintain the same volume flow rate :

4.86 * 10⁶ Pa

Given data :

Volume flow rate = 0.400 m³ / s

Radius of cylindrical pipe = 0.330 m

New radius of pipe ( P₂ ) = 0.110 m

Determine the pressure difference required

we will apply the equation below

Q = $\frac{\pi R^{4} }{8n} * \frac{(P_{1}-P_{2}) }{L}$

Q = volumetric flow rate

n = coefficient of viscosity

Learn more about pressure difference :

Answer from: Quest

which statement about this sum is true? −245+2.7

Apendulum has a mass of 0.5 kg and starts at a height of 0.3 m. if it is released from rest, how fas

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Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

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