Menu

Executive Programs

Workshops

Projects

Blogs

Careers

Student Reviews



More

Academic Training

Informative Articles

Find Jobs

We are Hiring!


All Courses

Choose a category

Loading...

All Courses

All Courses

logo

Solution of 2D Heat Conduction Equation

In this project you will solve the steady and unsteady 2D heat conduction equations. You will implement explicit and implicit approaches for the unsteady case and learn the differences between them. You will also learn how to implement iterative solvers like Jacobi, Gauss-Seidel and SOR for solving implicit equations.

  • Mechanical Engineering
  • Aerospace Engineering
  • Thermal Engineering

duration
Duration :

1 month

projectfees
Project Fees :

INR 30,000

Benefits of this Project

In this project you will solve the steady and unsteady 2D heat conduction equations. You will implement explicit and implicit approaches for the unsteady case and learn the differences between them. You will also learn how to implement iterative solvers like Jacobi, Gauss-Seidel and SOR for solving implicit equations.

What will you do in this project?

Step 1 - Setting up the mesh and initial/boundary conditions

Step 2 - Implement steady/unsteady solution using Explicit and Implicit approaches

Step 3 - Perform convergence rate study

Step 4 - Perform stability analysis

In this project, you will create a 2D solver to simulate the 2D Heat Conduction equation. You will solve both the steady and unsteady governing equations and implement the Explicit and Implicit approaches to solving the transient problem. The implicit equations will be solved using the iterative solvers like Jacobi, Gauss-Seidel and Successive Over Relaxation (SOR). You will then perform the convergence study among all the implemented approaches and finally carry out stability analysis for explicit and implicit approaches.

Similar Projects you might be interested:

Flow over a 2D Backward Facing Step
In this project, you will simulate a laminar flow over a backward facing step- one of the benchmark CFD problems. You will be solving the complete Navier-Stokes equation for a 2D laminar viscous flow in OpenFOAM. This project will help you learn how OpenFOAM works and how you can make an effective use of it to solve real-time CFD problems.
duration
Duration:

1 month

domainname
Domain :

Mechanical Engineering and Aerospace Engineering

Know more
In this project, you will simulate one of the most important problems in aerospace applications- the convergent-divergent nozzle. You will solve the quasi 1D Euler's equations in Matlab to simulate and study the conditions for an isentropic flow inside a subsonic-supersonic nozzle. This project will provide insights into how a super-sonic aircraft is able to attain such speeds with the help of a simple convergent-divergent nozzle setup.
duration
Duration:

1 month

domainname
Domain :

Mechanical Engineering and Aerospace Engineering

Showing 1 of 2 projects

Project Highlights

The project is an intermediate level project

Pre-requisites

showcase

Solution of 2D Heat Conduction Equation

Diffusion is an important phenomena that occurs in fluid flow. The Navier-Stokes equation contains a diffusion term. So it is essential to understand how to discretize and simulate such phenomena in order to gain deeper insights into the Navier-Stokes equation.  And in this project you do exactly that. You take up a diffusion problem such as the 2D heat conduction and learn how to solve the steady and unsteady forms of the equation by employing Finite Difference method. You will learn to implement the explicit and implicit approaches for transient simulation. You will also learn how to implement iterative solvers to solve simultaneous equations that arise in steady and transient implicit approaches. You will then perform a convergence study on the iterative solvers and conduct a stability analysis for implicit and explicit solutions.