# 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

### 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

#### 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.

### FAQ

#### 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

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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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