𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The distortion of a cylinder with non-uniform axial heat conduction

✍ Scribed by J. R. Barber

Book ID
104620005
Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
255 KB
Volume
13
Category
Article
ISSN
0374-3535

No coin nor oath required. For personal study only.

✦ Synopsis

Closed form expressions are developed for the thermoelastic curvature of the initially plane end faces of a traction free cylinder subjected to arbitrary axisymmetric heat flux, the curved surfaces being assumed insulated. The solution is developed from a potential function representation of displacement and temperature for an elastic layer. The reciprocal theorem is invoked to show that the tractions at the curved surface of the cylinder vary linearly along the axis and they are removed by superposition of biaxial bending. It is found that the curvature of the plane ends depends on the local heat flux and the mean heat flux, whilst the cylindrical face distorts into a cone.

πŸ“œ SIMILAR VOLUMES

Solutions of the heat conduction equatio
Solutions of the heat conduction equation in a non-uniform soil
✍ R. J. Wiltshire πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 613 KB

## Abstract A class of analytic, periodic solutions of the heat conduction equation in a non‐uniform soil is derived. The class may be characterized by the fact that the speed of the temperature wave varies according to the square root of the soil diffusivity (a function of soil depth). In addition