ADDITIONAL SOUGHT-FOR FUNCTIONS AND LOCAL COORDINATE SYSTEMS APPLIED IN THE HEAT CONDUCTIVITY PROBLEMS FOR MULTILAYERED BUILDING STRUCTURES

2018 ◽  
Vol 8 (3) ◽  
pp. 29-32
Author(s):  
Ol’ga Yu. KURGANOVA

The solution problems of the additional the sought-for function and additional boundary conditions based when using local coordinate systems, an approximate analytical solution of the heat conduction problem for a double-layer plate is obtained for symmetric boundary conditions of the fi rst kind. The use of the additional sought-for function in the integral method of heat balance makes it possible to reduce the solution of the partial diff erential equation to the integration of an ordinary diff erential equation.

2014 ◽  
Vol 698 ◽  
pp. 637-642
Author(s):  
Anton Eremin ◽  
Ekaterina Stefanyuk ◽  
Liubov Abisheva

Using additional boundary conditions in the integral method of the heat balance, an approximate analytical solution to the heat conduction problem for an endless plate with time-varying heat sources has been found. It is shown that with any heat source capacity an unlimited plate temperature increase takes place in the course of time.


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