Water moves through a constricted pipe in steady, ideal flow. The pressure is 1.80 ✕ 105...

Water moves through a constricted pipe in steady, ideal flow. The pressure is 1.80 ✕ 105 Pa and the pipe radius is 2.90 cm. At the higher point located at y = 2.50 m, the pressure is 1.30 ✕ 105 Pa and the pipe radius is 1.60 cm.

(a) Find the speed of flow in the lower section.
m/s

(b) Find the speed of flow in the upper section.
m/s

(c) Find the volume flow rate through the pipe.
m³/s

Expert Solution

genius_generous answered 2 years ago

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in...

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.80 ✕ 105 Pa and the pipe radius is 2.90 cm. At the higher point located at y = 2.50 m, the pressure is 1.30 ✕ 105 Pa and the pipe radius is 1.60 cm. 1. find the speed flow for lower section 2. find the speed of flow in the upper section 3. find the volume flow...

A brine solution with a density of 1230 kg/m3 moves through a constricted pipe in steady,...

A brine solution with a density of 1230 kg/m3 moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is P1 = 2.00 ✕ 104 Pa, and the pipe diameter is 7.00 cm. At another point y = 0.40 m higher, the pressure is P2 = 1.25 ✕ 104 Pa and the pipe diameter is 3.50 cm. (a) Find the speed of flow (in m/s) in the lower section. (b)...

The pressure drop per unit length of a pipe, dl/dp , for steady, incompressible viscous flow...

The pressure drop per unit length of a pipe, dl/dp , for steady, incompressible viscous flow through a straight horizontal pipe depends on the average velocity, V, density of fluid, p, fluid viscosity, µ, pipe diameter, D, and the roughness height, ks. Determine the dimensionless groups that can be used to correlate the data.

A water is flowing through a circular varying diameter pipe. The water completely fills the pipe...

A water is flowing through a circular varying diameter pipe. The water completely fills the pipe at all its sections. 1- What is the water velocity of the water at the first section if you know that the diameter of the pipe at this section= 22 cm and the water is flowing at a rate of 2.5 m3/s? 2- What is the diameter of the pipe at the second section if you know that the water velocity at this section...

The velocity profile for a steady laminar flow in a circular pipe of radius R is...

The velocity profile for a steady laminar flow in a circular pipe of radius R is given by u=u0(1−r2R2) . If the fluid density varies with radial distance r from the centerline as ρ=ρ0(1+rR)14 , where ρ0 is the fluid density at the pipe center, obtain and choose the correct relation for the bulk fluid density in the tube.

You are studying the laminar flow of water in a pipe at 20˚C. The pipe is...

You are studying the laminar flow of water in a pipe at 20˚C. The pipe is 2 cm in diameter, and the pressure gradient driving the flow is 0.8 Pa/m. Find the x-sectional average velocity (Poiseuille’s Law) and the maximum velocity achieved at the centerline of the pipe (use the equation for Umax presented in the alternative derivation of Poiseuille’s Law). How many times greater is the maximum velocity compared to the average velocity? Is this ū/umax ratio constant or...

A fluid travels through a pipe of cross-sectional area A1 then moves through a connection into...

A fluid travels through a pipe of cross-sectional area A1 then moves through a connection into another pipe of cross-sectional area A2. If A1 is larger than A2, the velocity of the fluid will ______. Group of answer choices A. increase B. decrease C. remain constant D. evaporate

The velocity profile for a steady laminar flow in a circular pipe of radius R given...

The velocity profile for a steady laminar flow in a circular pipe of radius R given be u=u0( 1- r^2/R^2). if the fluid density varies with radial distance r from the centerline as p=p0 ( 1+ r/R)^1/4 where p0 is the fluid density at the pipe center, obtain a relation for the bulk fluid density in the tube.

A bottle at 325 K contains an ideal gas at a pressure of 1.613×105 Pa ....

A bottle at 325 K contains an ideal gas at a pressure of 1.613×105 Pa . The rubber stopper closing the bottle is removed. The gas expands adiabatically against \(P_{external} \ = \\) 1.168×105 Pa , and some gas is expelled from the bottle in the process. When P = Pexternal , the stopper is quickly replaced. The gas remaining in the bottle slowly warms up to 325 K What is the final pressure in the bottle for a monatomic...

5. (IB) An ideal gas at an initial pressure of 4.0 × 105 Pa is expanded...

5. (IB) An ideal gas at an initial pressure of 4.0 × 105 Pa is expanded isothermally from a volume of 3.0 m3 to a volume of 5.0 m3. a) Calculate the final pressure of the gas. b) On graph paper, sketch a graph to show the variation with volume V of the pressure p during this expansion. c) Use the sketch graph in (b) to: (i) estimate the work done by the gas during this process (ii) explain why...

Question