Module 1 : Conduction
Lecture 1 : Introduction and Heat Diffusion Equation
 
Heat Diffusion Equation-3
  • Net heat leaving the control volume
 
(1.6)
  • Heat flux and area are vectors and therefore the dot product in the above expression
  • Suppose heat flux is leaving a surface. The two vectors are in the same direction giving positive q i.e. leaving the surface. Heat flux entering the surface means it is opposite to area vector now giving a negative product.
Heat Diffusion Equation-4
  • Net heat rate out
(1.7)
  • Total heat generation rate
(1.8)
  • Total storage rate
(1.9)
  • Use these expressions in the energy balance equation