Quasi-Static Thermal Stresses in a Robin’s Thin Hollow Cylinder
with Internal Moving Heat Source

D. T. Solanke; M. H. Durge

doi:https://doi.org/10.14445/22315373/IJMTT-V8P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 8 | Number 1 | Year 2014 | Article Id. IJMTT-V8P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V8P504

Quasi-Static Thermal Stresses in a Robin’s Thin Hollow Cylinder with Internal Moving Heat Source

D. T. Solanke, M. H. Durge

Abstract

This paper is a transient non-homogeneous thermoelastic problem with Robin’s boundary condition in thin hollow cylinder of isotropic material of inner radius a , outer radius b and height h occupying region R: a r b z h       ,0 ,0 2   having initial temperature f r z ( , , )  placed in an ambient temperature zero. The cylinder is subjected to the activity of moving heat source along circular trajectory of radius 1 r where 1 a r b   around the centre of the cylinder with constant angular velocity  . The heat conduction equation containing heat generation term is solved by applying integral transform technique and Green’s theorem is adopted in deriving the solution of the heat conduction equation. The solution is obtained in a series form of Bessel function and trigonometric function and thermal stresses are derived.

Keywords

Robint’s Thin Hollow Cylinder, Moving Heat Source, Thermal Stresses, Green’s Theorem

References

[1] D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
[2] D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
[3] D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
[4] D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111, 2014 vol.4 (1) January- March pp 188-192
[5] D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Neumann’s thin Hollow Cylinder with Internal Moving Heat Source
[6] M. Necati Ozisik `Heat conduction, Second Edition, A Wiley-Interscience Publication John Wiley and Sons, inc. New-York.
[7] N. Noda, R. B. Hetnarski, Y. Tanigawa, Thermal Stresses, second edition, 2002

Citation :

D. T. Solanke, M. H. Durge, "Quasi-Static Thermal Stresses in a Robin’s Thin Hollow Cylinder with Internal Moving Heat Source," International Journal of Mathematics Trends and Technology (IJMTT), vol. 8, no. 1, pp. 18-24, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V8P504