Document Type: Research Articles
Department of Mathematics Govt. P.G. Degree College, New Tehri, Tehri Garhwal, Uttarakhand, Zip-code: 249 001, India
The present article serves the purpose of pursuing Geometrization of heat ﬂow on volumetrically isothermal manifold by means of RF approach. In this article, we have analyzed the evolution of heat equation in a 3-dimensional smooth isothermal manifold bearing characteristics of Riemannian manifold and fundamental properties of thermodynamic systems. By making use of the notions of various curvatures, we have discussed diﬀerent types of heat diﬀusion equation for our volumetrically isothermal manifold and its isothermal surfaces. Finally, we have delineated a heat diﬀusion model for such isothermal manifold and by decomposing it into isothermal surfaces we have developed equation for heat diﬀusion.