scholarly journals Numerical Methods in Transient Heat Conduction : 1st Report, Methods Using the Analog Computer

1968 ◽  
Vol 34 (263) ◽  
pp. 1224-1231 ◽  
Author(s):  
Kozo KATAYAMA ◽  
Akio SAITO
Keyword(s):  
Heat Conduction ◽  
Numerical Methods ◽  
Transient Heat Conduction ◽  
Analog Computer

Numerical and Machine Solutions of Transient Heat-Conduction Problems Involving Melting or Freezing: Part I—Method of Analysis and Sample Solutions

1959 ◽  
Vol 81 (2) ◽  
pp. 106-112 ◽  
Author(s):  
William D. Murray ◽  
Fred Landis
Keyword(s):  
Heat Conduction ◽  
Numerical Methods ◽  
Conventional Method ◽  
Transient Heat Conduction ◽  
Analog Computation ◽  
Paper Sample ◽  
New Techniques ◽  
One Dimensional

Previously published methods for the solution of one-dimensional heat-conduction problems with melting or freezing are briefly reviewed and weaknesses of previous analytic and numerical methods are outlined. Two new and more generally applicable numerical methods, applicable to digital and analog computation, are developed in the paper. Sample problems using these new techniques are solved and compared with the results of a widely used conventional method. An evaluation of the various methods and recommendations on areas of application are included.

Transient Temperatures and Thermal Stress Problems in Small Gas Turbines

1961 ◽  
Author(s):  
Robert R. van Nimwegen
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Gas Turbines ◽  
Heat Conduction Equation ◽  
Transient Heat Conduction ◽  
Analog Computer ◽  
Transient Temperature ◽  
Advantages And Disadvantages ◽  
Difference Form ◽  
Typical Temperature

A discussion is given of the steady and transient temperature problems associated with the design of small gas turbines and starter equipment. The transient heat-conduction equation is given in differential and finite-difference form. Boundary conditions of convective heat transfer, radiation and prescribed temperatures are discussed. Several methods for solution of these equations in irregularly shaped bodies are given. Examples of solutions of typical temperature problems in small gas turbines are shown. Solution by means of an electrolytic tank, analog computer and a digital computer are discussed, with the advantages and disadvantages of each method given.

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