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.

Expert Solution

Ally Wells answered 1 year ago

Q. No 3. The pressure drop Dp over a length L of pipe is assumed to...

Q. No 3. The pressure drop Dp over a length L of pipe is assumed to depend on the average velocity V, the pipe’s diameter D ,the average height h of the roughness elements of the pipe wall, the ﬂuid density ρ ,and the ﬂuid viscosity µ .Write a relationship between the pressure drop and the other variables. Use Indicial Method (Rayleigh’s Method) only.

6. An increase in roughness of a pipe with laminar flow would increase the pressure drop...

6. An increase in roughness of a pipe with laminar flow would increase the pressure drop of the pipe. Assume the velocity is the same for the smooth pipe and the rough pipe. a. True b. False

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

An incompressible, Newtonian fluid is flowing through a vertical circular conduit (a pipe). The flow is...

An incompressible, Newtonian fluid is flowing through a vertical circular conduit (a pipe). The flow is laminar. What is the velocity at the inner wall of the pipe? How do you know? The pipe has diameter a. The velocity profile in the pipe is vz = b – c r2. Please express c in terms of a and b. (You are applying a boundary condition to solve this problem.) Where in the pipe is the velocity a maximum? Please express...

Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two ...

Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite parallel plates (Figure $3(a))$. The top plate is moving at speed $V$, and the bottom plate is stationary. The distance between these two plates is $h .$ The gravity acts in the $z$ direction so the flow can be considered essentially two dimensional in $x-y$ plane. Assume there acts an applied pressure gradient in the $x$ -direction with its gradient given by, \(\partial P...

Consider two-dimensional incompressible plane viscous flow between parallel plates a distance 2h apart, with the origin...

Consider two-dimensional incompressible plane viscous flow between parallel plates a distance 2h apart, with the origin along the centerline. The plates are very wide and very long, so that the flow is essentially axial. The present case is where the upper plate moves at velocity V but there is no pressure gradient. Neglect gravity effects. Determine the velocity profile for this flow.

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.

Consider the steady, incompressible blood flow through the following vascular network: 100 µm diameter which is...

Consider the steady, incompressible blood flow through the following vascular network: 100 µm diameter which is 80 mm in length to the first branching point, which can be estimated as a standard tee (flow through run), the branch off the tee turns 45 degrees and undergoes a constriction to 65 µm diameter and the flow through run continues for another 80 mm. The velocity of the blood into the 100 µm diameter vessel is 100 mm/s and 20% of the...

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.

Cantor Products sells a product for $75. DM costs per unit and DL costs per unit...

Cantor Products sells a product for $75. DM costs per unit and DL costs per unit are $45. Depreciation Expenses costs and Production supervisor’s salary are $75,000. Answer the following questions: a. What is the break-even point in units? b. What unit sales would be required to earn a target profit of $200,000? c. Assume they achieve the level of sales required in part b, what is the degree of operating leverage? d. If sales decrease by 30% from that...

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