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Breaking Ice with Air cushion Vehicle - Find minimum pressure with Newton-Raphson method

Newton Raphson method is an iterative solver that is used to find the roots of a given equation. In this project, we will be employing this method to solve for the minimum pressure required to break a sheet of ice and find the relationship between pressure and ice thickness. Additionally, we will also be studying how the relaxation factor affects the solution and how we can choose a relaxation factor.

  • Duration : 1 Month
  • Domain : Mechanical, Automotive. Materials Engineering
  • Benefits : Newton Raphson method is an iterative solver that is used to find the roots of a given equation. In this project, we will be employing this method to solve for the minimum pressure required to break a sheet of ice and find the relationship between pressure and ice thickness. Additionally, we will also be studying how the relaxation factor affects the solution and how we can choose a relaxation factor.
  • Price : 30000
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What will you do in this project?

In this project you will be,

  • Learning how to employ iterative solvers to obtain the solution of polynomial equations
  • Understanding how these solvers work and the different parameters involved
  • Finding out the most suitable relaxation factor

  • Use Python to generate a code to find the minimum required pressure
  • Obtain the relaxation factor that provides the best results
  • Plot the variation of pressure with increasing ice thickness

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Project Highlights

The project is an advanced level project
  • This project is great for undergraduate students (3rd & 4th year), M.Tech or MS students
  • If you are a working professional, this project will be helpful to learn the basics of Python  to solve complicated problems
Pre-requisites
 
  • Must be comfortable with basics of coding and python syntax
  • Must have a good understanding of mathematical concepts and numerical solvers
 
 
Learning outcome

 

 
  • Using python to create functions
  • Understand solution methodologies for polynomial equations and the best methods to use these methods
  • Employ basic modules available in python
 
 

Breaking Ice with Air cushion Vehicle - Find minimum pressure with Newton-Raphson method

Newton Raphson method is an iterative solver that is used to find the roots of a given equation. In this project, we will be employing this method to solve for the minimum pressure required to break a sheet of ice and find the relationship between pressure and ice thickness. Additionally, we will also be studying how the relaxation factor affects the solution and how we can choose a relaxation factor.

  • Using the newton raphson method to find the minimum required pressure
  • Plot the variation of pressure with ice thickness
  • Find the relaxation factor best suited to this problem.

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Frequently Asked Questions

1How is this project going to help me?

SKILL-LYNC projects are mapped closely with what industry expects. When you work on a SKILL-LYNC project and publish it in your profile, recruiters are automatically notified about your profile.  Your project submissions are graded so that students can get critical feedback on your work

2Can I add this project in my resume?

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3What are the pre-requisites for this project?

  • A few premium projects might require a prior understanding of fundamental concepts
  • In such a case, you will be given access to appropriate learning materials to first learn those concepts before jumping to the project


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