Transient Inverse Heat Conduction Problem
T. Ramakrishna Goud1 and D.Ramamurthy2
1Dept. of Mathematics, Osmania Unuiversity, Hyderabad. Email: firstname.lastname@example.org
2(Retd) Professor Dept. of Mathematics, Osmania Unuiversity, Hyderabad. Email: email@example.com
In inverse heat conduction problem we estimate the surface temperature or heat flux history given one or more measured temperature histories inside a heat conducting body, here we have considered the problem of determining the temperature and heat flux at the surface of a solid when the temperature at an interior location is a prescribed function of interior location is a prescribed function of time. The theory is able to accommodate an initial temperature distribution which varies arbitrarily with position throughout the solid. The accuracy of the method is demonstrated by a numerical example.
Keywords: Inverse Heat Conduction, Heat Flux, Dynamic Heat Transfer, Efferically Symmetric, Thermal Diffusivity.
AMS Mathematics subject classification: 34B07, 34B40
International eJournal of Mathematics and Engineering
Volume 3, Issue 3, Pages: 1705 - 1712