Multi-Dimensional Transient Conduction

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Multi-Dimensional Transient Conduction

• So far we have only examined transient behavior
  in which conduction takes place in only one
  direction.
• There are many instances when heat tranfer (via
  conduction) is significant in more than one
  direction.
• Examples A Short Cylinder, a Rectangular Bar
• In such cases, when multi-dimensional conduction
  has to be taken into account, the transient
  behavior of the system can be analyzed by
  superposing the solution of simpler geometries.
• E.g. A Short Cylinder can be viewed as the
  inersection of a Plane Wall and an Infinite
  Cylinder.
• . Then the temperature distribution for the
  Short Cylinder is the product of the
  distributions a Plane Wall and an Infinite
  Cylinder.

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Multi-Dimensional Transient ConductionVarious
Configurations