Unsteady or Transient Heat Conduction

  • Rajendra KarwaEmail author


This chapter is devoted to the transient state of heat conduction, i.e., the heating or cooling where the temperature of the solid body varies with time as well as in the space. For bodies with a very high thermal conductivity combined with a low value of the convective heat transfer coefficient, lumped heat capacity analysis has been presented. For determination of temperature variation with time and spatial position in plates (whose thickness is small compared to the other dimensions), cylinders (whose diameter is small compared to its length), and spheres, solution based on Heisler charts has been given. Numerical method of solving transient conduction problems has been presented with a numbers of illustrative examples.


Unsteady or transient heat conduction Lumped heat capacity analysis Characteristic dimension Biot number Fourier number Heisler charts Numerical method Explicit and implicit formulations Schmidt graphical method 


  1. Grober H, Erk S, Grigull U (1961) Fundamentals of heat transfer. McGraw-Hill Book Co, New YorkGoogle Scholar
  2. Heisler MP (1947) Temperature charts for induction and constant temperature heating. Trans ASME 69:227–236Google Scholar
  3. Holman JP (1992) Adapted for SI units by White PRS, Heat Transfer. McGraw-Hill Book Co, New YorkGoogle Scholar

Copyright information

© Springer Science+Business Media Singapore 2017

Authors and Affiliations

  1. 1.Jodhpur Institute of Engineering & TechnologyJodhpurIndia

Personalised recommendations