# The Frank-Kamenetskii Problem Using Arc-Length Continuation

Initializing live version

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The Frank–Kamenetskii problem relates to the self-heating of a reactive solid. When the heat generated by a reaction is balanced by conduction in a one-dimensional slab of combustible material, the nonlinear boundary value problem (BVP) for , , and admits up to two solutions. Here, is the dimensionless temperature and is the heat transfer coefficient.

[more]
Contributed by: Housam Binousand Brian G. Higgins (December 2013)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

## Permanent Citation