Instructions Determine the height of the fluid in the reservoir at time, t = 2.5 seconds, Properly label the iterations. Take note of the tolerance value and criteria. 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. A friendly reminder: The equation involved Reservoir v(t) V2gh = tanh V2gh) h water Pipe is hyperbolic tangent. This is not tan (h)(t/2L * sqrt(2gh)) - v (1) Hint: Transform the equation to a L function of form: f(h) = 0 Solve MANUALLY using BISECTION AND REGULA-FALSI METHODS, starting at x1eft = 0.1, Xfight| = 1, ɛ = 0.001 and |f(xnew)l < ɛ Note: We are expected to get a value of h around 0.47. The number of significant digits that we will be reporting depends on the tolerance value and iteration criterion set.
Instructions Determine the height of the fluid in the reservoir at time, t = 2.5 seconds, Properly label the iterations. Take note of the tolerance value and criteria. 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. A friendly reminder: The equation involved Reservoir v(t) V2gh = tanh V2gh) h water Pipe is hyperbolic tangent. This is not tan (h)(t/2L * sqrt(2gh)) - v (1) Hint: Transform the equation to a L function of form: f(h) = 0 Solve MANUALLY using BISECTION AND REGULA-FALSI METHODS, starting at x1eft = 0.1, Xfight| = 1, ɛ = 0.001 and |f(xnew)l < ɛ Note: We are expected to get a value of h around 0.47. The number of significant digits that we will be reporting depends on the tolerance value and iteration criterion set.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve MANUALLY using BISECTION AND REGULA-FALSI METHODS
![Transient Orifice Flow:
Instructions
Properly label the iterations. Take note of the tolerance value and criteria.
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.
A friendly reminder: The equation involved
Reservoir
v(t)
V2gh
tanh (V2gh
h
water
2L
Pipe
is hyperbolic tangent. This is not tan (h)(t/2L * sqrt(2gh))
Hint: Transform the equation to a
(1)a
function of form: f(h) = 0
Solve MANUALLY using BISECTION AND REGULA-FALSI METHODS,
starting at xeft = 0.1, xight = 1, ɛ = 0.001 and |f (xnew)] < ɛ
Note:
We are expected to get a value of h around 0.47. The number of significant digits that we will be reporting depends on the tolerance value and iteration criterion set.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7897257-7295-4e05-92c3-3ad60a81498d%2Fd708c85d-8191-4439-8cad-92336c5033a9%2Fxbruzso_processed.png&w=3840&q=75)
Transcribed Image Text:Transient Orifice Flow:
Instructions
Properly label the iterations. Take note of the tolerance value and criteria.
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.
A friendly reminder: The equation involved
Reservoir
v(t)
V2gh
tanh (V2gh
h
water
2L
Pipe
is hyperbolic tangent. This is not tan (h)(t/2L * sqrt(2gh))
Hint: Transform the equation to a
(1)a
function of form: f(h) = 0
Solve MANUALLY using BISECTION AND REGULA-FALSI METHODS,
starting at xeft = 0.1, xight = 1, ɛ = 0.001 and |f (xnew)] < ɛ
Note:
We are expected to get a value of h around 0.47. The number of significant digits that we will be reporting depends on the tolerance value and iteration criterion set.
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