Water is discharged from a reservoir through a long pipe as shown. By neglecting the change in the level of the reservoir, the transient velocity of the water flowing from the pipe, v(t), can be expressed as: Reservoir v(t) V2gh (ởV2gh) = tanh water: Pipe Where h is the height of the fluid in the - v(1) reservoir, L is the length of the pipe, g is the acceleration due to gravity, and t is the time elapsed from the beginning of the flow Determine the height of the fluid in the reservoir at time, t = 2.5 seconds, given that the velocity at the outfall, v(t) = 3 m/s, the acceleration due to gravity, g = 9.81 m/s² and the length of the pipe to outfall, L = 1.5 meters. Reservoir v(t) V2gh = tanh 2L V2gh) water: Pipe »(1) Hint: Transform the equation to a function of form: f(h) = 0 Solve MANUALLY using BISECTION AND REGULA-FALSI METHODS, starting at xet = 0.1, xight = 1, ɛ = 0.001 and |f(xnew)| < ɛ

Water is discharged from a reservoir through a long pipe as shown. By neglecting the change in the level of the reservoir, the transient velocity of the water flowing from the pipe, v(t), can be expressed as: Reservoir v(t) V2gh (ởV2gh) = tanh water: Pipe Where h is the height of the fluid in the - v(1) reservoir, L is the length of the pipe, g is the acceleration due to gravity, and t is the time elapsed from the beginning of the flow Determine the height of the fluid in the reservoir at time, t = 2.5 seconds, given that the velocity at the outfall, v(t) = 3 m/s, the acceleration due to gravity, g = 9.81 m/s² and the length of the pipe to outfall, L = 1.5 meters. Reservoir v(t) V2gh = tanh 2L V2gh) water: Pipe »(1) Hint: Transform the equation to a function of form: f(h) = 0 Solve MANUALLY using BISECTION AND REGULA-FALSI METHODS, starting at xet = 0.1, xight = 1, ɛ = 0.001 and |f(xnew)| < ɛ

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Consider a rectangular plate of width B = 1m (measured in the direction normal to the plane of this sheet) and negligible thickness, which separates two fluids of densities ρ and ρw. A mass of density ρs is supported by an inextensible rope that passes through a pulley connected to one end of the plate. Consider that ρ = 1.59ρw and ρs = 2.40ρw, where ρw = 1000 kg/m3. Determine the volume that this mass must have for the system to remain in equilibrium, as shown in the figure.
A fluid (s=1.26) flows through a 80 mm diameter pipe at a velocity of 14 m/sec. Compute the weight flow rate. (N/s)
Oil (SG = 0.80) flows through a pipe AB 120 cm in diameter at 3 m/s and then passes through a pipe BC which is 150cm in diameter. At C the pipe forks. Branch CD is 80cm in diameter and carries one-third of the flow in AB. The velocity in branch CE is 2.5 m/s. Find the volume rate of flow in AB in m^3/s.Find the velocity in BC in m/s. Find the velocity in CD in m/s. Find the the diameter of CE in centimeters
Water circulates at 20 °C (p = 1000 kg/m3) in the form of *Y* of the following figure. The flow rate (inflow) in section 1 is 5300 N/s, and the speed in section 3 is 5 m/s. Calculate: a) the speed in section 1, b) the flow Mass in Section 3, c) the speed in section 3
A fluid flows through a square conduit. At one point along the conduit, the conduit sides are 0.100 m, the velocity is 7.55 m/s, and the fluid’s SG is 0.86. at a second point, the conduit sides are 0.250 m, and the velocity is 2.02 m/s. Find the mass flow rate of the fluid.
EXAMPLE 10.1 The internal and external diameter of the impeller of a centrifugal pump are 300 mm and 600 mm respectively. The pump is running at 1000 r.p.m. The vane angles at inlet and outlet are 200 and 30 ° respectively. The water enters the impeller radially and the velocity of flow is constant. Determine the work done by the impeller per unit weight of water.
Consider a pond of circular shape, radius R and width B (the width measured in the direction normal to the plane of the sheet). A pipe emerges from the bottom of the pond connected to a pump. This equipment sucks water at a flow rate Q = Kh2, where K is a constant and h(t) the height of the liquid contained in the pond at any instant t. Assume that the pond is initially full (h(0) = R). Determine algebraically the time T it takes for the system to empty.
Determine the diameter of an orifice that permits a tank of horizontal crosssection 1.5m2 to have its liquid surface draw down at the rate of 160 mm/sfor a 3.35-m head on the orifice. Use C=0.63.
A large block of mass m, unknown, rests on the piston, of negligible mass and cross-sectional area 4.00 m2, which is in contact with the system shown in the figure. The system contains two fluids, one of unknown density ρ1 and the other of density ρ2 = 1200 kg/m3. Considering that: h = 6.00 m; h1 = 5.00 m and h2 = 2.50 m, determine the mass m of the block and the density ρ1 of the other fluid.
Length of Pipe 1 = 300 m Length of Pipe 2 = 240 m Length of Pipe 3 = 210 m Length of Pipe 4 = 450 m *Pipe 2 and Pipe 3 are parallel Diameter of Pipe 1 = 200 mm Diameter of Pipe 2 = 150 mm Diameter of Pipe 4 = 250 mm discharge of the pipe system = 45 Liters/second Total hf = 8 meters f= 0.02 What is the diameter of Pipe 3? (in mm)
The water system in a suburban area consists of an old 200mm pipeline 760m long which conveys water from a pump to a reservoir whose water surface is 107m higher than the pump. Water is pumped at the rate of 0.07 m3/s. Determine the horsepower saved by replacing the old pipe with a new 250mm pipe. Assume the value of f as equal to 0.022 and 0.033, respectively, for the old and new pipes. Neglect losses of head except friction head show the diagram and complete solution. Need ASAP. Thank you
In the tank-pipe-tank system given in the figure, water flows from A to C in horizontal pipes. Darcy friction factor in A-B pipe is 0.040, pipe diameter is 0.5m, pipe length is 1km and speed is 2m / s. Darcy friction factor in B-C pipe is 0.015, pipe diameter is 1.2m, pipe length is 20km. The gravitational acceleration is 9.81m/s2. There is no operational hydraulic head at point C. Which of the following is the minimum required vertical elevation between free water surfaces, H for running this system?