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Learn Finite Volume Analysis from Daily Life Examples
Rating: 4.3 out of 5(62 ratings)
3,188 students

Learn Finite Volume Analysis from Daily Life Examples

Examples of a heat pan and my lunch box
Created byL'imagist Studio
Last updated 5/2019
English

What you'll learn

  • Conduct finite volume analysis through visualization,key concept and math manipulation
  • Discretize 1D and 2D domain from two real-life examples
  • Apply boundary conditions to governing equation

Course content

2 sections • 16 lectures • 32m total length

  • Introduction0:47

    Explore how finite volume analysis models temperature change along a heated pan handle, revealing whether the temperature decays linearly or exponentially and comparing results with the analytical solution.

  • Visualization2:08

    Visualize this problem as a fin, define 50 C base, 25 C room, and grid the fin into control volumes with delta x.

  • Key Concept1:31

    Derive the one-dimensional steady-state governing equation, integrate over the control volume, relate the integrated form to interior and boundary nodes, and rearrange for clarity.

  • Interior Nodes 2, 3 and 41:25

    Explain the finite-volume equation for interior nodes 2, 3, and 4 using a central control volume, east and west face temperatures, and a source term.

  • Boundary Node 11:12

    Demonstrate boundary node 1 in finite volume analysis using a control volume at node 1 with delta x and a west boundary temperature, eliminating TE terms and including source term.

  • Boundary Node 51:11

    Analyze boundary node 5 with a control volume, use delta x on the east-west faces, insulating at eight drops the west term, yielding the east-face equation with a source term.

  • Math Manipulation1:04

    Replace T.P., T.W., and T with corresponding temperatures in the nodal equations, compute coefficients from known values, form a matrix, and solve with Matlab to obtain the temperature distribution.

Requirements

  • Basic calculus background would be useful, such as integration and differentiation

Description

Hi everyone,

I know sometimes finite volume analysis might sound intimidating. However, I found that it is easier to understand when we associate the abstract knowledge with examples that are tangible to us. In this course, you will learn how to use Finite Volume Analysis to determine the temperature profile of a handle of a pan as well as what the temperature distribution look like in my lunch box! I hope you can join me on this fun journey! 

Who this course is for:

  • Potential Engineers
  • Potential Mathematicians
  • Someone that is interested in getting to know how Finite Volume Analysis works
  • Someone that need help in Finite Volume Analysis for homework, project, career advancement, etc
  • Someone that is interested in relating abstract math equations to meaningful real-world challenges
  • Someone hops to use Finite Volume Analysis to build predictive models for various projects

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