Nightingale College Therapy Solve Using Bracketing Method Discussion


1 attachmentsSlide 1 of 1attachment_1attachment_1

Unformatted Attachment Preview

King Abdulaziz University
Aero. Eng. Dept.
AE-419 Computational Fluid Dynamics
Summer 2022
First Assignment: Root-Finding
Figure 1. Shock angle, β, as function of the deflection angle, θ, and upstream Mach
number M1 .
Problem Statement:
Reproduce figure 1 for oblique shock waves by solving the following relations:

M12 sin2 β − 1
tan θ = 2 cot (β) 2
M1 (γ + cos 2β) + 2
M2 =
sin (β − θ)
1 + γ−1
M12 sin2 β
γ M12 sin2 β − γ−1
θ : defliction angle
β : shock angle
M1 : upstream Mach number
M2 : down stream Mach number
Figure 2. Schematic for inward deflected supersonic flow
1. Methods’ Performance:
Compare the rate of convergence of Bisection method and the Secant method. To do so:
1. Select a point (M1 ,θ) and compute β using both methods.
2. Record and plot the convergence history for both methods. Use a tolerance = 1 × 10−7
2. Generating the Chart:
Select the method with faster convergence and produce a chart similar to figure 1 for the following range of values:
1. The upstream Mach number, M1 , varies from 1.1 to 3.0 with step 0.2.
2. The deflection angle, θ, starts from 0.0◦ with step 0.1◦

Purchase answer to see full

User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.

Reviews, comments, and love from our customers and community:

Article Writing

Keep doing what you do, I am really impressed by the work done.



PowerPoint Presentation

I am speechless…WoW! Thank you so much!

Stacy V.

Part-time student

Dissertation & Thesis

This was a very well-written paper. Great work fast.

M.H.H. Tony


Annotated Bibliography

I love working with this company. You always go above and beyond and exceed my expectations every time.

Francisca N.


Book Report / Review

I received my order wayyyyyyy sooner than I expected. Couldn’t ask for more.

Mary J.


Essay (Any Type)

On time, perfect paper

Prof. Kate (Ph.D)


Case Study

Awesome! Great papers, and early!

Kaylin Green


Proofreading & Editing

Thank you Dr. Rebecca for editing my essays! She completed my task literally in 3 hours. For sure will work with her again, she is great and follows all instructions

Rebecca L.


Critical Thinking / Review

Extremely thorough summary, understanding and examples found for social science readings, with edits made as needed and on time. Transparent

Arnold W.




Joshua W.


Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes:

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>