YoVDO

Deriving the Heat Equation in 2D and 3D and in N Dimensions with Control Volumes and Vector Calculus

Offered By: Steve Brunton via YouTube

Tags

Vector Calculus Courses Fluid Dynamics Courses Partial Differential Equations Courses Heat Transfer Courses Surface Integrals Courses

Course Description

Overview

Explore the derivation of the heat equation in higher dimensions using Gauss's theorem in this 25-minute video lecture. Delve into the mathematical intricacies as the instructor guides you through the process, starting with an overview and progressing to the heat equation derivation. Learn how to transform surface integrals into volume integrals and ultimately convert volume integrals into partial differential equations. Gain valuable insights into control volumes and vector calculus applications in thermal physics. Follow along with the step-by-step explanation, enhancing your understanding of advanced mathematical concepts in heat transfer and multidimensional analysis.

Syllabus

Deriving the Heat Equation in 2D & 3D (& in N Dimensions!) with Control Volumes and Vector Calculus


Taught by

Steve Brunton

Related Courses

Science & Cooking: From Haute Cuisine to Soft Matter Science (chemistry)
Harvard University via edX Introduction to Thermodynamics: Transferring Energy from Here to There
University of Michigan via Coursera AP® Physics 2 - Part 1: Fluids and Thermodynamics
Rice University via edX The Basics of Transport Phenomena
Delft University of Technology via edX Basics of Finite Element Analysis - I
Indian Institute of Technology Kanpur via Swayam