Numerical Solution of Fractional Diffusion Equation Model for Freezing in Finite Media | Zendy

R. S. Damor | Zendy; Sushil Kumar | Zendy; A. K. Shukla | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Numerical Solution of Fractional Diffusion Equation Model for Freezing in Finite Media

Author(s) -

R. S. Damor,

Sushil Kumar,

A. K. Shukla

Publication year - 2013

Publication title -

international journal of engineering mathematics

Language(s) - English

Resource type - Journals

eISSN - 2356-7007

pISSN - 2314-6109

DOI - 10.1155/2013/785609

Subject(s) - diffusion , fractional calculus , diffusion equation , finite difference method , heat equation , anomalous diffusion , finite difference , mechanics , interface (matter) , transient (computer programming) , finite element method , thermodynamics , materials science , physics , mathematics , mathematical analysis , computer science , engineering , innovation diffusion , bubble , metric (unit) , knowledge management , operations management , maximum bubble pressure method , operating system

Phase change problems play very important role in engineering sciences including casting of nuclear waste materials, vivo freezing of biological tissues, solar collectors and so forth. In present paper, we propose fractional diffusion equation model for alloy solidification. A transient heat transfer analysis is carried out to study the anomalous diffusion. Finite difference method is used to solve the fractional differential equation model. The temperature profiles, the motion of interface, and interface velocity have been evaluated for space fractional diffusion equation

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research