There is a cylindrical water tank (diameter D and depth h) with attached circular pipes having diameters shown in the figure. Velocity is assumed uniform across the circular pipes. (a) If the constant o is 1, determine the value of the constant 3 for which the water level h remains unchanged over time. (b) For a = and 3 = 3, compute the rate at which the water level changes, which is d. Express the answer as a function of U, d, and D. Indicate whether the tank is filling or emptying. D 5 ↓d ته ات 3 P BU QU

There is a cylindrical water tank (diameter D and depth h) with attached circular pipes having diameters shown in the figure. Velocity is assumed uniform across the circular pipes. (a) If the constant o is 1, determine the value of the constant 3 for which the water level h remains unchanged over time. (b) For a = and 3 = 3, compute the rate at which the water level changes, which is d. Express the answer as a function of U, d, and D. Indicate whether the tank is filling or emptying. D 5 ↓d ته ات 3 P BU QU

Name: There is a cylindrical water tank (diameter D and depth h) with attac
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: There is a cylindrical water tank (diameter D and depth h) with attached circular pipes having diametersshown in the figure. Velocity is assumed uniform across the circular pipes.(a) If the constant o is 1, determine the value of the constant 3 for

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Water flows through the pipe system as shown, mass flowrate A divides equally into B and C, and discharges to the atmosphere. 6 m/s 100 mm A 60 mm 60 mm 06 PROB_034 Cappri n n, Do the following: (A) Compute the mass flowrate at A, B and C (B) Compute the pressure in the pipe at A (C) Sketch the C.V. and FBD for the flow in the pipe section - label and identify all relevant components: coordinate directions, velocities, forces and/or pressures, inlet & outlet sections (D) Compute the x and y forces required to hold the pipe in the position shown
A storage tank contains a liquid at depth y where y= 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Q sin'(t), The outflow is not constant but rather depends on the depth. For this case, the differential equation for depth is shown below. Some variable values are A = 1200 m?, Q = 500 m /d, and a (force function) = 300. Arrange the variables into the Mathematical Model format: stating which variable(s) is dependent, independent, etc. dy a(1+ y)15 dx A Figure P1.7
A constriction in a pipe will cause velocity to increase and pressure to fall at the throat. The pressure difference is a measure of the flow rate through the pipe. This system, shown in the figure, is called a Venturi tube. Find the flow rate Q through the pipe if the fluid is water, the pressures P1 = 300 Pa, P2 = %3D 150 Pa, D = 2 cm and d = 1 cm. pressure taps P2 d. D Venturi Meter Parameters
G1/ in the Pipe (A) is equal (PA= 25 Lit15), the diameter is equal ( DA - 75mm, Do = Fig.shown, the Flow rate in 6o mm, Dg = Dc%=30 mm), and the velocit Pipe (D) is equal (U0=5m/s), the relation between flow rate in Pipe (B) and pipe (c) %3D Find the Value af . 2- Un, UB, Uc. water Os = 30 mm input A QA - 25 Lit/sec = 75 mm fo mm %3D Inpud = A outPut = B,C,D accumule tion =o.
Assume 4 kg/s of fluid are moving through an insulated pipe under these conditions: v1 = 6 m/s and u1 = 40 J/kg. (a) Find E1, in W (whole number) . (b) If the fluid flows through an upward bend of the pipe until v2 = 2 m/s and u2 = 45 J/kg, through what vertical height did the fluid travel? (2 decimal places) Local g = 9.75 m/s2.
Answer with True or False of the following question: (7M 1. Water flows steadily down a vertical pipe of constant cross section. Neglecting friction, according to Bernoulli's equation, velocity decreases with height. 2. A liquid in an open right circular cylinder is given rigid body rotation about the axis of the cylinder. The pressure distribution in any vertical plane is uniform. 3. A curved surface is submerged in a static liquid. The horizontal component of pressure force on it is equal to the pressure force on a vertical projection of the surface. 4. A U-tube manometer measures the difference in total energy between two points.
Water flows through a 125 mm diameter pipe at a velocity of 7.5 m/sec. Find the mass flow rate in kg/sec. NOTE: Do not write any unit to your answer, put your answer in a numerical form only and use up to 3 decimal places. ASAP PLS
du Water flows past a flat plate that has a length L = 5 m and a width w = 2 m, as shown in Figure Q4. The shear stress at the wall is given by Tw = μ When the flow is laminar the shear stress at the wall is given by the equation: dy Tw= 0.0644 pU² Where p = 1000 kg/m³ is the water density and U.. = 5 m/s is the velocity of the water. The height of the boundary layer is 8, and can be approximated by 8(x) = 5 8 μχ puo U X The viscosity of water is μ = 1 mPa.s. a) Estimate the drag force on the plate. You may use the expression FD = √TwdA b) When the flow becomes turbulent, we can approximate the velocity gradient at the A. If the total drag force is 300 N, find A. ди wall as constant, = ду c) When the fluid is heated to 90°C, the density drops slightly and the viscosity decreases a lot, and engineers observe that the equation, Tw = 0.0644pU² becomes less accurate. Explain why this might occur (1-2 sentences). L d) In order to visually examine a turbulent boundary layer, engineers…
3. A conical container has a half-angle a as shown above. Liquid is poured in at a constant rate Q (volume per time). Simultaneously, liquid leaks out at a rate q that is proportional to the current height of the liquid, i.e. qL kh. = (a) Set up the differential equation governing h(t). = (b) Neglecting leakage (k) 0), solve for h(t) given that the container is initially empty. How long does it take to fill the container up to a total height H? Estimate the answer first using scaling arguments in addition to obtain an exact solution. (c) Now imagine that the container is full up to a height H at t = 0 but no more fluid is poured in (Q = 0). Solve for h(t). How long does it take for the container to be drained by the leak? Estimate the drain time using scaling arguments, then also obtain the solution exactly.
Q in 1 Q 1,3 In figure, if Qin = 3 ft3/s, which :one is true Q 1,2 2 Q2,3 Q2,4 Q3,4 3 Qout (QOut = 3), (Q1,2 = 1.5), (Q1,3= 2) ft3/s (Qout=3), ( Q2,4=1.5), (Q3,4=1.5)ft3/s O (Qout = 2.5), (Q1,2=1.5), (Q1,3=1.5) ft3/s O
du Water flows past a flat plate that has a length L = 5 m and a width w = 2 m, as shown in Figure Q4. The shear stress at the wall is given by tw = When the flow is laminar the shear stress at the wall is given by the equation: Tw = 0.0644 pU²- Where p = 1000 kg/m³ is the water density and U∞ = 5 m/s is the velocity of the water. The height of the boundary layer is 8, and can be approximated by 8(x) = 5 μx puco The viscosity of water is μ = 1 mPa.s. a) Estimate the drag force on the plate. You may use the expression FD = S TwdA b) When the flow becomes turbulent, we can approximate the velocity gradient at the wall as constant, A. If the total drag force is 300 N, find A. du ду c) When the fluid is heated to 90°C, the density drops slightly and the viscosity decreases a lot, and engineers observe that the equation, tw = 0.0644pU² becomes less accurate. Explain why this might occur (1-2 sentences). U d) In order to visually examine a turbulent boundary layer, engineers release a steady…
du Water flows past a flat plate that has a length L = 5 m and a width w = 2 m, as shown in Figure Q4. The shear stress at the wall is given by Tw = μ When the flow is laminar the shear stress at the wall is given by the equation: 8 Tw = 0.0644 pU² Where p = 1000 kg/m³ is the water density and U = 5 m/s is the velocity of the water. The height of the boundary layer is 8, and can be approximated by 8(x) = 5 The viscosity of water is μ = 1 mPa.s. a) Estimate the drag force on the plate. You may use the expression FD = S TwdA μx puco b) When the flow becomes turbulent, we can approximate the velocity gradient at the wall as constant, du = A. If the total drag force is 300 N, find A. ?u U c) When the fluid is heated to 90°C, the density drops slightly and the viscosity decreases a lot, and engineers observe that the equation, Tw= 0.0644pU² - becomes less accurate. Explain why this might occur (1-2 sentences). d) In order to visually examine a turbulent boundary layer, engineers release a…