Abstract
There are many cases in engineering practice when one needs to calculate the transient temperature field in a flat plate. This paper obtains the spline-method grade 3 defect 1 for solve such problems. This method allows simulating the process of thermal conductivity for the infinitely extended plate with temperature-dependent material properties. To conduct an accuracy evaluation of the spline-method the standard problem has been created for one-dimensional infinite flat plane with temperature-dependent material properties, which has the exact analytical solution.This paper shows that the use of splines allows obtaining solutions of transient heat conduction problems with thermal properties dependent on temperature at a relative error less than 1•10-5 that is quite enough in solving many practical problems.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
