**InternationaleJournals**

**Transient Inverse Heat Conduction
Problem**

T. Ramakrishna Goud^{1} and D.Ramamurthy^{2}

^{1}Dept. 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**