Module 1 : Conduction
Lecture 1 : Introduction and Heat Diffusion Equation
 
Heat Diffusion Equation-5
  • Energy balance equation becomes:
 
(1.10)
  • The above is the integral form of the conduction/Heat Diffusion equation.
  • Often it is useful to have the differential form of the equation
Heat Diffusion Equation-6
  • The Gauss Divergence theorem and the mean value theorem provide the vehicle for the conversion from the integral to the differential form.
  • The theorem is written on the next slide for a vector and a scalar quantity.
Gauss Divergence Theorem
  • Consider an arbitrary parameter ‘a’
 
(1.11)


(1.12)