When a fluid flows in a pipe, the friction between the fluid and the surface of the pipe is given bythe coefficient of viscosity n, defined by the equation FIA = n(du/ds), where Fis the force of fric-tion acting across an area A and du/ds is the velocity gradient between layers of fluids.(a) What are the units of n?(b) If AP is the pressure difference and is directly proportional to Al, by using the method of di-mensional analysis, show thatAPconstantAI

Answered: Image /qna-images/answer/fa791523-e5e7-4988-88a7-d65a79d3dc0a.jpg

Answered: When a fluid flows in a pipe, the…

Similar questions

A compressed gas with a total mass of 114 kg is stored in a spherical container having a radius of 0.504 m. What is the density of the compressed gas? Report your answer in kg/m³.
A uniform density sheet of metal is cut into the shape of an isosceles triangle, which is oriented with the base at the bottom and a corner at the top. It has a base B = 49 cm, height H = 15 cm, and area mass density σ. a) Consider a horizontal slice of the triangle that is a distance y from the top of the triangle and has a thickness dy. Write an equation for the area of this slice in terms of the distance y, and the base B and height H of the triangle. b) Set up an integral to calculate the vertical center of mass of the triangle, assuming it will have the form C ∫ f(y) where C has all the constants in it and f(y) is a function of y. What is f(y)? c)Integrate to find an equation for the location of the center of mass in the vertical direction. Use the coordinate system specified in the previous parts, with the origin at the top and positive downward. d)Find the numeric value for the distance between the top of the triangle and the center of mass in cm.
A- Given that the volumetric flow rate for a fluid within a circular cross-section tube can be represented by Q= πΡΑ ΔΡ 8μL where r is the tube radius, µ is the fluid viscosity, P is the pressure drop across the tube, and L is the tube length, calculate the pressure drop across a tube of length 1 m and diameter of 23 mm. The fluid is blood (μ = 0.0035 N.s/m²) and has a volumetric flow rate of 4.5 L/min. Assuming the same conditions, what would the required pressure drop be for water (μ = 0.001 N.s/m²) and chocolate syrup (μ = 150 N.s/m²).
You are help to educate a patient on the ramifications of a partial arterial blockage you have recently discovered. To communicate the severity, you decide to tell the patient about how much of the volume of blood that normally passes through the artery has decreased. The relationship you are describing is called AV Poiseuille's equation and it reads: ™R^ (P₁-P₂) 8nl If the At radius of the artery decreases by a factor of 2 because of the blockage (as shown in the image below), by what factor has the volume flow rate (A) decreased? At Wall of artery (a) Artery wall thickening Blockage O Note: Do not explicitly include units in your answer, however (include number only). Including units (like cm) will result in the question being scored wrong.
Let Pa represent the density of aluminum and Pf that of iron. Find an expression of the radius (ra ) of a solid aluminum sphere that balances a solid iron sphere of radius rf on an equal-arm balance
Flow rate is expressed as gas velocity in cm/s. The gas is flowing through an open tubular column with an inner diameter of 0.25 mm. What volume flow rate (mL/min) corresponds to a gas velocity of 50 cm/s? (The volume of a cylinder is pr2 3 length, where r is the radius.)
Need Help: It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70 103 kg/m3. Given Tip: How is the volume of the cubical object related to the volume of aluminum in the object and the volume of the cubical cavity? How is the mass of the cubical object related to the mass of aluminum in the object? Recall how the volume of a cube is related to the length of each side of the cube.
The Ekman number, Ek, arises in geophysical fluid dynamics. It is dimensionless parameter combining seawater density ρ, a characteristic length L, Seawater viscosity μ, and the Coriolis frequency Ωsinφ, where Ω is the rotation rate of the earth and φ is the latitude angle. Determine the correct form of Ek if the viscosity is in the numerator.
The density of platinum is 21500 kg/m3 and that of aluminum is 2702 kg/m3. Find the ratio of the volume of 1.20 kg of platinum to the volume of 1.01 kg of aluminum.
One cm3 of gold is 19.32 g. What is the density (ratio of mass to volume) of gold inkg per m3 ? I know the answer is 19.32x10^3 but can someone tell me the steps to get there?
An object has density ρoriginal�original. Suppose each of the object's three dimensions is increased by a factor of 2 without changing the object's mass. By what factor will the density change?
Blood flows through the aorta at an average speed of v = 18 cm/s. The aorta is roughly cylindrical with a radius r = 17.0 mm. The volume rate of blood flow through the aorta is πr2v. Calculate the volume rate of blood flow through the aorta in L/min.

SEE MORE QUESTIONS