Engineering Fluid Mechanics 10th Edition solutions

Engineering Fluid Mechanics 10
If somehow you could attach a light to a fluid particle and :ake a time exposure photo, would the image you photographed "e a pathline or streakline? Explain from definition of each.

Engineering Fluid Mechanics 10
Is the pattern produced by smoke rising from a chimney on a windy day analogous to a path line or streakline? Explain from :he definition of each.

Engineering Fluid Mechanics 10
A windsock is a sock-shaped device attached to a swivel 10 top of a pole. Wmdsocks at airports are used by pilots to see mstantaneous shifts in the direction of the wind. If one drew a line co-linear with a windsock's orientation at any instant, the line would be best approximate a (a) pathline, (b)

Engineering Fluid Mechanics 10
For streamlines, streaklines, and streamlines to all be co-linear, the flow must be a. dividing b. stagnant c. steady d. a tracer

Engineering Fluid Mechanics 10
At time t = 0, dye was injected at point A in a flow field of a .1quid. When the dye had been injected for 4 s, a path line for a particle of dye that was emitted at the 4 s instant was started. The streakline at the end of 10 s is shown below. Assume that the speed 'but not the velocity) of flow is

Engineering Fluid Mechanics 10
For a given hypothetical flow, the velocity from time t = 0 to = 5 s was u = 2 m/s, v = 0. Then, from time I = 5 s to I = 10 s, ihe velocity was u = + 3 m/s, v = - 4 m/s. A dye streak was narted at a point in the flow field at time t = 0, and the path of a particle in the fluid was also traced from t

Engineering Fluid Mechanics 10
At time t = 0, a dye streak was started at point A in a flow field of liquid. The speed of the flow is constant over a 10 s period, but the flow direction is not necessarily constant. At any particular instant the velocity in the entire field of flow is the ~e. The streakline produced by the dye is s

Engineering Fluid Mechanics 10
A velocity field is given mathematically as V = 2i + 4yj. The velocity field is: a. !Dinx b. lD in y c. 20 in x and y

Engineering Fluid Mechanics 10
There is a gasoline spill in a major river. The mayor of a large downstream city demands an estimate of how many hours it will take for the spill to get to the water supply plant intake. l11e emergency responders measure the speed of the leading edge of the spill, effectively focusing on one particle

Engineering Fluid Mechanics 10
You are pouring a heavy syrup on your pancakes. As the syrup spreads over the pancake, would the thin film of syrup be a laminar or turbulent flow? Why?

Engineering Fluid Mechanics 10
A velocity field is given by V = 1 Oxyi . It is a. 1-D and steady b. 1-D and unsteady c. 2-0 and steady d. 2-D and unsteady

Engineering Fluid Mechanics 10
Which is the most correct way to characterize turbulent flow? a. 10 b. 20 c. 30

Engineering Fluid Mechanics 10
In the system in the figure, the valve at Cis gradually opened in such a way that a constant rate of increase in discharge is produced. How would you classify the flow at B while the valve is being opened? How would you classify the flow at A?

Engineering Fluid Mechanics 10
Water flows in the passage shown. If the flow rate is decreasing with time, the flow is classified as (a) steady, (b) unsteady, (c) uniform, or (d) nonuniform.

Engineering Fluid Mechanics 10
If a flow pattern has converging streamlines, how would you classify the flow?

Engineering Fluid Mechanics 10
Consider flow in a straight conduit. The conduit is circular in cross section. Part of the conduit has a constant diameter, and part has a diameter that changes with distance. Then, relative to flow in that conduit, correctly match the items in column A with those in column B. A B Steady flow av,tas

Engineering Fluid Mechanics 10
Classify each of the following as a one-dimensional, twodimensional, or three-dimensional flow. a. Water flow over the crest of a long spillway of a dam. b. Flow in a straight horizontal pipe. c. Flow in a constant-diameter pipeline that follows the contour of the ground in hilly country. d. Airflow

Engineering Fluid Mechanics 10
Acceleration is the rate of change of velocity with time. Js the acceleration vector always aligned with the velocity vector? Explain.

Engineering Fluid Mechanics 10
In a flowing fluid, acceleration means that a fluid particle is a. changing direction b. changing speed c. changing both speed and direction d. any of the above

Engineering Fluid Mechanics 10
The flow passing through a nozzle is steady. The speed of the fluid increases between the entrance and the exit of the nozzle. The acceleration halfway between the entrance and the nozzle is a. convective b. local c. both

Engineering Fluid Mechanics 10
Local acceleration a. is dose to the origin b. is quasi nonuniform c. occurs in unsteady flow

Engineering Fluid Mechanics 10
Figure 4.36 on p. 148 in 4.10 shows the flow pattern for flow past a circular cylinder. Assume that the approach velocity at A is constant (does not vary with time). a. Is the flow past the cylinder steady or unsteady? b. Is this a case of one-dimensional, two-dimensional, or three-dimensional flow?

Engineering Fluid Mechanics 10
The velocity along a pathline is given by V (mls) = s 2 t 112 where sis in meters and tis in seconds. The radius of curvature is 0.4 m. Evaluate the acceleration tangent and normal to the path at s = 1.5 m and t = 0.5 seconds.

Engineering Fluid Mechanics 10
Tests on a sphere are conducted in a wind tunnel at an air speed of U0 The velocity of flow toward the sphere along the longitudinal axis is found to be u = - U0 (I - ~/_xl), where r0 is the radius of the sphere and x the distance from its center. Determine the acceleration of an air particle on the

Engineering Fluid Mechanics 10
In this flow passage the velocity is varying with time. The elocity varies with time at section A-A as t V = 5 m/s - 2.25 - m/s /o : time t = 0.50 s, it is known that at section A-A the velocity ;;radient in the s direction is +2 m/s per meter. Given that t0 is 5 sand assuming quasi-one-dimensional f

Engineering Fluid Mechanics 10
The nozzle in the figure is shaped such that the d ocity of flow varies linearly from the base of the nozzle to u tip. Assuming quasi-one-dimensional flow, what is the nvective acceleration midway between the base and the tip if e velocity is 1 ft/s at the base and 4 ft/s at the lip? Nozzle length 18

Engineering Fluid Mechanics 10
In Prob. 4.28 the velocity varies linea.rly with time .roughout the nozzle. The velocity at the base is 21 (fl/s) and at e tip is 6t (ftls). What is the local acceleration midway along "'e nozzle when t = 2 s?

Engineering Fluid Mechanics 10
What will be the convective acceleration for the conditions of Prob. 4.30?

Engineering Fluid Mechanics 10
The velocity of water flow in the nozzle shown is given by the following expression: V = 2t/(1 - O.Sx/ L)2 , where V = velocity in feet per second, t = time in seconds, x = distance along the nozzle, and L = length of nozzle = 4 ft. When x = 0.5L and t = 3 s, what is the local acceleration along the

Engineering Fluid Mechanics 10
State Newton's second law of motion. What arc the limitations on the use of Newton's second law? Explain.

Engineering Fluid Mechanics 10
What is the differences between a force due to weight and a force due to pressure? Explain.

Engineering Fluid Mechanics 10
A pipe slopes upward in the direction ofliquid flow at an angle of 30 with the horizontal. What is the pressure gradient in the flow direction along the pipe in terms of the specific weight of the liquid if the liquid is decelerating (accelerating opposite to flow direction) at a rate of 0.4 g?

Engineering Fluid Mechanics 10
What pressure gradient is required to accelerate kerosene (S = 0.81) vertically upward in a vertical pipe at a rate ofO.S g?

Engineering Fluid Mechanics 10
The hypothetical liquid in the tube shown in the figure has zero viscosity and a specific weight of 10 kN/m3 If PR- PAis equal to 12 kPa, one can conclude that the liquid in the tube is being accelerated (a) upward, (b) downward, or (c) neither: acceleration = 0.

Engineering Fluid Mechanics 10
If the piston and water (p = 62.4lbm/ft3 ) are accelerated upward at a rate of 0.4g, what will be the pressure at a depth of 2ft in the water column?

Engineering Fluid Mechanics 10
Water (p = 62.4 lbm/ftl) stands at a depth of 10ft in a vertical pipe that is open at the top and closed at the bottom by a piston. What upward acceleration of the piston is necessary to create a pressure of 8 psig immediately above the piston?

Engineering Fluid Mechanics 10
Water (p = 1000 kg/m3 ) is accelerated from rest in a horizontal pipe that is 80 m long and 30 em in diameter. If the acceleration rate (toward the downstream end) is 5 m/s 2 , what is the pressure at the upstream end if the pressure at the downstream end is 90 kPa gage?

Engineering Fluid Mechanics 10
Water (p = 62.4lbm/ft3 ) stands at a depth of 10ft in a vertical pipe that is closed at the bottom by a piston. Assuming that the vapor pressure is zero (abs), determine the maximum downward acceleration that can be given to the piston without causing the water immediately above it to vaporize.

Engineering Fluid Mechanics 10
A liquid with a specific weight of 100 lbf/ftl is in the conduit. This is a special kind of liquid that has zero viscosity. The pressures at points A and Bare 170 psf and 100 psf, respectively. Which one (or more) of the following conclusions can one draw with certainty? (a) The velocity is in the po

Engineering Fluid Mechanics 10
If the velocity varies linearly with distance through this water nozzle, what is the pressure gradient, dp/dx, halfway through the nozzle? (p = 62.4 lbm/ft 3 ) .

Engineering Fluid Mechanics 10
The closed tank shown, which is full of liquid, is accelerated downward at 1.5g and to the right at 0.9g. Here L = 3ft, H = 4ft, and the specific gravity of the Liquid is 1.2. Determine Pc - PA andpR- PA

Engineering Fluid Mechanics 10
The closed tank shown, which is full of liquid, is accelerated downward at ig- and to the right at lg. Here L = 2.5 m, H = 3 m, and the liquid has a specific gravity of 1.3. Determine Pc - PA and PB - PA

Engineering Fluid Mechanics 10
Describe in your own words how an aspirator works

Engineering Fluid Mechanics 10
When the Bernoulli Equation applies to a venturi, such as in Fig. 4.27 on p. 134 in 4.6, which of the following are true? (Select all that apply.) a. If the velocity head and elevation head increase, then the pressure head must decrease. b. Pressure always decreases in the direction of flow along a s

Engineering Fluid Mechanics 10
A water jet issues vertically from a nozzle, as shown. The water velocity as it exits the nozzle is 18 m/s. Calculate how high h the jet will rise. (Hint: Apply the Bernoulli equation along the centerline.)

Engineering Fluid Mechanics 10
ater flows through a vertical contraction (venturi) ..ection. Piezometers are attached to the upstream pipe and ::nmimum area section as shown. The velocity in the pipe is 10 ft/s. ne difference in elevation between the two water levels in the "'tezometers is 6 inches. The water temperature is 68F. W

Engineering Fluid Mechanics 10
Kerosene at 20C flows through a contraction section . shown. A pressure gage connected between the upstream pipe -,d throat section shows a pressure difference of 20 kPa. The line velocity in the throat section is 8 m/s. What is the 'docity (m/s) in the upstream pipe?

Engineering Fluid Mechanics 10
A stagnation tube placed in a river (select all that apply) a. can be used to determine air pressure b. can be used to determine fluid velocity c. measures kinetic pressure

Engineering Fluid Mechanics 10
A Pitot-static tube is mounted on an airplane to measure airspeed. At an altitude of 10,000 ft, where the temperature is 23F and the pressure is 10 psia, a pressure difference corresponding to 10 in of water is measured. What is the airspeed?

Engineering Fluid Mechanics 10
A glass tube is inserted into a flowing stream of water with one opening directed upstream and the other end vertical. If the water velocity is 5 m/s, how high will the water rise in the vertical leg relative to the level of the water surface of the stream?

Engineering Fluid Mechanics 10
A Bourdon-tube gage is taped into the center of a disk as shown. Then for a disk that is about 1 ft in diameter and for an approach velocity of air ( V0 ) of 40 ft/s, the gage would read a pressure intensity that is (a) less than p V~/2, (b) equal top V512, or (c) greater than p V5!2.

Engineering Fluid Mechanics 10
An air-water manometer is connected to a Pilot-static tube used to measure air velocity. If the manometer deflects 2 in., what is the velocity? Assume T = 60F and p = 15 psia.

Engineering Fluid Mechanics 10
The flow-metering device shown consists of a stagnation probe at station 2 and a static pressure tap at station 1. The velocity at station 2 is 1.5 times that at station LAir with a density of 1.2 kglm3 flows through the duct. A water manometer is connected between the stagnation probe and the pressu

Engineering Fluid Mechanics 10
The "spherical" Pitot probe shown is used to measure the flow velocity in water (p = 1000 kg/m1 ). Pressure taps are located at the forward stagnation point and at 90 from the forward stagnation point. The speed of fluid next to the surface of the sphere varies as 1.5 Y0 sin 6, where V0 is the free-s

Engineering Fluid Mechanics 10
Explain how you might design a spherical Pitot-static probe to provide the direction and velocity of a flowing stream. The Pitot-static probe will be mounted on a string that can be oriented in any direction.

Engineering Fluid Mechanics 10
Two Pitot-static tubes are shown. The one on the top is used to measure the velocity of air, and it is connected to an air-water manometer as shown. The one on the bottom is used to measure the velocity of water, and it too is connected to an air-water manometer as shown. If the deflection h is the s

Engineering Fluid Mechanics 10
A Pitot-static tube is used to measure the velocity at the center of a 12 in. pipe. If kerosene at 68F is flowing and the deflection on a mercury-kerosene manometer connected to the Pitot tube is 4 in., what is the velocity?

Engineering Fluid Mechanics 10
A Pitot-static tube used to measure air velocity is connected to a differential pressure gage. If the air temperature is 20C at standard atmospheric pressure at sea level, and if the differential gage reads a pressure difference of 2 kPa, what is the air velocity?

Engineering Fluid Mechanics 10
A Pilot-static tube used to measure air velocity is connected to a differential pressure gage. If the air temperature is 60F at standard atmospheric pressure at sea level, and if the differential gage reads a pressure difference of 15 psf, what is the air velocity?

Engineering Fluid Mechanics 10
A Pilot-static tube is used to measure the gas velocity in a duct. A pressure transducer connected to the Pitot tube registers a pressure difference of 2.0 psi. The density of the gas in the duct is 0.14lbm/ft 3 What is the gas velocity in the duct?

Engineering Fluid Mechanics 10
A sphere moves horizontally through still water at a speed of II ft/s. A short distance directly ahead of the sphere (call it point A), the velocity, with respect to the earth, induced by the sphere is 1 ft/s in the same direction as the motion of the sphere. If p0 is the pressure in the undisturbed

Engineering Fluid Mechanics 10
Body A travels through water at a constant speed of 13 m/s as shown. Velocities at points B and Care induced by the moving body and are observed to have magnitudes of 5 m/s and 3 m/s, respectively. What is Ps - Pc?

Engineering Fluid Mechanics 10
Water in a flume is shown for two conditions. if the depth d IS the same for each case, will gage A read greater or less than gage B? Explain.

Engineering Fluid Mechanics 10
A rugged instrument used frequently for monitoring gas velocity in smokestacks consists of two open tubes oriented to the flow direction as shown and connected to a manometer. The pressure coefficient is 1.0 at A and - 0.3 at B. Assume that water, at 20C, is used in the manometer and that a 5 mm defl

Engineering Fluid Mechanics 10
The pressure in the wake of a bluff body is approximately equal to the pressure at the point of separation. The velocity distribution for flow over a sphere is V = 1.5 V0 sin ll, where V0 is the free-stream velocity and 0 is the angle measured from the forward stagnation point. The flow separates at

Engineering Fluid Mechanics 10
A Pitot-static tube is used to measure the airspeed of an airplane. The Pi tot tube is connected to a pressure-sensing device calibrated to indicate the correct airspeed when the temperature is l7C and the pressure is 101 kPa. The airplaue flies at an altitude of 3000 m, where the pressure and temper

Engineering Fluid Mechanics 10
An aircraft flying at 10,000 feet uses a Pitot-static tube to measure speed. The instrumentation on the aircraft provides the differential pressure as well as the local static pressure and the local temperature. The local static pressure is 9.8 psig, and the air temperature is 25F. The differential p

Engineering Fluid Mechanics 10
You need to measure air flow velocity. You order a commercially available Pi tot-static tube, and the accompanying instructions state that the airflow velocity is given by {h. v(ft/min) = I096.7,f"d where hv is the "velocity pressure" in inches of water and dis the density in pounds per cubic foot. T

Engineering Fluid Mechanics 10
Consider the flow of water over the surfaces shown. For each case the depth of water at section D-D is the same ( 1 ft), and the mean velocity is the same and equal to 10 ft/s. Which of the following statements are valid? a. pc;> pB>pA b. Ps > Pc > P11 c. PA = PB = Pc d. PH

Engineering Fluid Mechanics 10
What is meant by rotation of a fluid particle? Use a sketch to explain

Engineering Fluid Mechanics 10
Consider a spherical fluid particle in an inviscid fluid (no shear stresses).If pressure and gravitational forces are the only forces acting on the particle, can they cause the particle to rotate? Explain

Engineering Fluid Mechanics 10
The vector V = I Oxi - I Oyj represents a two-dimensional velocity field. Is the flow irrotational?

Engineering Fluid Mechanics 10
The velocity components for a two-dimensional flow are Cx Cy u = v = (/ + x2) (x2 + /) where Cis a constant. Is the flow irrotational?

Engineering Fluid Mechanics 10
A two-dimensional flow field is defined by u = x 2 - I and v = - 2xy. Is the flow rotational or irrotational?

Engineering Fluid Mechanics 10
Fluid flows between two parallel stationary plates. The distance between the plates is I em. The velocity profile between the two plates is a parabola with a maximum velocity at the centerline of 2 cm/s. The velocity is given by u = 2(1 - 4/) where y is measured from the centerline. The cross-flow co

Engineering Fluid Mechanics 10
A combination of a forced and a free vortex is represented by the velocity distribution I v0 = - [1 - exp(- r 2 )] r For r ~ 0 the velocity approaches a rigid body rotation, and as r becomes large, a free-vortex velocity distribution is approached. Find the amount of rotation (in radians) that a flui

Engineering Fluid Mechanics 10
Liquid flows with a free surface around a bend. The liquid is inviscid and incompressible, and the flow is steady and irrotational. The velocity varies with the radius across the flow as V = 1/r m/s, where r is in meters. Find the difference in depth of the liquid from the inside to the outside radiu

Engineering Fluid Mechanics 10
The velocity in the outlet pipe from this reservoir is 30 ft!s and h = 18ft. Because of the rounded entrance to the pipe, the flow is assumed to be irrotational. Under these conditions, what is the pressure at A?

Engineering Fluid Mechanics 10
The velocity in the outlet pipe from this reservoir is 8 m/s and h = 19 m. Because of the rounded entrance to the pipe, the flow is assumed to be irrotational. Under these conditions, what is the pressure at A?

Engineering Fluid Mechanics 10
The maximum velocity of the flow past a circular cylinder, as shown, is twice the approach velocity. What is l:lp between the point of highest pressure and the point of lowest pressure in a 40 m/s wind? Assume irrotational flow and standard atmospheric conditions.

Engineering Fluid Mechanics 10
The velocity and pressure are given at two points in the flow field. Assume that the two points lie in a horizontal plane and that the fluid density is uniform in the flow field and is equal to 1000 kg/m3 Assume steady flow. Then, given these data, determine which of the following statements is true.

Engineering Fluid Mechanics 10
Ideal flow theory will yield a flow pattern past an -rfoil similar to that shown. If the approach air velocity V0 is ':> m/s, what is the pressure difference between the bottom and ::1e top of this airfoil at points where the velocities are V1 = 85 m/ s ..:~d V2 = 75 m/s? Assume Pair is uniform at 1.

Engineering Fluid Mechanics 10
Consider the flow of water between two parallel plates in mch one plate is fixed as shown. The distance between the plates is h, and the speed of the moving plate is V. A person wishes to calculate the pressure difference between the plates and applies the Bernoulli equation between points 1 and 2, p

Engineering Fluid Mechanics 10
Euler's equations for a planar (two-dimensional) flow in the xy-plane are au au ah u - + v- = - g- x = direction ax ay ax av av ilh u- + v- = -g- y =direction ax ay ay a. The slope of a streamline is given by dy v - = dx u Using this relation in Euler's equation, show that ( u2 + vl ) d~+h = 0 or d(~

Engineering Fluid Mechanics 10
A fluid is flowing arow1d a cylinder as shown in Fig 4.37 on p. 149 in 4.1 0. A favorable pressure gradient can be found a. upstream of the stagnation point b. at the stagnation point c. between the stagnation point and separation point

Engineering Fluid Mechanics 10
The velocity distribution over the surface of a sphere upstream of the separation point is Ue = 1.5 U Sin 9, where U is the free stream velocity and 9 is the angle measured from the forward stagnation point. A pressure of -2.5 in H20 gage is measured at the point of separation on a sphere in a 100 ft

Engineering Fluid Mechanics 10
Knowing the speed at point 1 of a fluid upstream of a sphere and the average speed at point 2 in the wake of in the sphere, can one use the Bernoulli equation to find the pressure difference between the two points? Provide the rationale for your decision.

Engineering Fluid Mechanics 10
Take a spoon and rapidly stir a cup of liquid. Report on the contour of the surface. Provide an explanation for the observed shape.

Engineering Fluid Mechanics 10
This closed tank, which is 4ft in diameter, is filled with water (p = 62.4 lbm/ft3 ) and is spun around its vertical centroidal axis at a rate of 10 rad!s. An open piezometer is connected to the tank as shown so that it is also rotating with the tank. For these conditions, what is the pressure at the

Engineering Fluid Mechanics 10
A tank of liquid (S = 0.80) that is 1 ft in diameter and 1.0 ft high (h = l.O ft) is rigidly fixed (as shown) to a rotating arm having a 2 ft radius. The arm rotates such that the speed at point A is 20 ft!s. lf the pressure at A is 25 psf, what is the pressure at B?

Engineering Fluid Mechanics 10
A closed tank ofliquid (S = 1.2) is rotated about a vertical axis (see the figure), and at the san1e time the entire tank is accelerated upward at 4 m/s2 . lf the rate of rotation is I 0 rad/s, what is the difference in pressure between points A and 8 (p8 - PA)? Point 8 is at the bottom of the tank a

Engineering Fluid Mechanics 10
AU-tube is rotated about one leg, as shown. Before being rotated the liquid in the tube fills 0.25 m of each leg. The length of the base of the U-tube is 0.5 m, and each leg is 0.5 m long. What would be the maximum rotation rate (in rad/s) to ensure that no liquid is expelled from the outer leg?

Engineering Fluid Mechanics 10
An arm with a stagnation tube on the end is rotated at I 00 rad/s in a horizontal plane I 0 em below a liquid surface as shown. The arm is 20 em long, and the tube at the center of rotation extends above the liquid surface. The liquid in the tube is the same as that in the tank and has a specific wei

Engineering Fluid Mechanics 10
AU-tube is rotated at 50 rev/min about one leg. "!he fluid .at the bottom of the U-tube has a specific gravity of 3.0. The distance between the two legs of the U-tube is I ft. A 6 in. height of another fluid is in the outer leg of the U-tube. Both legs are open to the atmosphere. Calculate the specif

Engineering Fluid Mechanics 10
A manometer IS rotated around one leg, as shown. :he difference in elevation between the liquid surfaces in the .egs is 20 em. The radius of the rotating arm is 10 em. The liquid -o the manometer is oil with a specific gravity of 0.8. Find the "':umber of g's of acceleration in the leg with greatest

Engineering Fluid Mechanics 10
A fuel tank for a rocket in space under a zero-g environment is rotated to keep the fuel in one end of the tank. The system is rotated at 3 rev/min. The end of the tank (point A) is 1.5 m from the axis of rotation, and the fuel level is 1 rn from the rotation axis. The pressure in the nonliquid end o

Engineering Fluid Mechanics 10
Water stands in these tubes as shown when no rotation occurs. Derive a formula for the angular speed at which water will just begin to spill out of the small tube when the entire system is rotated about axis A-A.

Engineering Fluid Mechanics 10
Water (p = 1000 kg/m3 ) fills a slender tube 1 em in diameter, 40 em long, and closed at one end. When the tube is rotated in the horizontal plane about its open end at a constant speed of 50 rad/s, what force is exerted on the closed end?

Engineering Fluid Mechanics 10
Water (p = 1000 kglrn3 ) stands in the closed-end U-tube as shown when there is no rotation. [f e = 2 em and if the entire system is rotated about axis A-A, at what angular speed will water just begin to spill out of the open tube? Assume that the temperature for the system is the same before and aft

Engineering Fluid Mechanics 10
A closed cylindrical tank of water (p = 1000 kg/m3 ) is rotated about its horizontal axis as shown. The water inside the tank rotates with the tank (V = rw). Derive an equation for dpldz along a vertical-radialline through the center of rotation. What is dpldz along this line for z = -1m, z = 0, and

Engineering Fluid Mechanics 10
The tank shown is 4 ft in diameter and I 2 ft long and is closed and filled with water (p = 62.4lbm/ft3). It is rotated about its horizontalcentroidal axis. and the water in the tank rotates with the tank (V = rw). The maximum velocity is 25 ft/s. What is the maximum difference in pressure in the tan