InternationaleJournals

Transient Inverse Heat Conduction Problem


T. Ramakrishna Goud1 and D.Ramamurthy2

1Dept. of Mathematics, Osmania Unuiversity, Hyderabad. Email: tamtamrkrishna@gmail.com

2(Retd) Professor Dept. of Mathematics, Osmania Unuiversity, Hyderabad. Email: drmurthy2k1@yahoo.co.in

 

Abstract       

              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