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

  IJMTT-book-cover
 		 International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2014 by IJMTT Journal
Volume-8 Number-1                          
Year of Publication : 2014
Authors : D. T. Solanke , M. H. Durge
  10.14445/22315373/IJMTT-V8P504

MLA

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 Mathematical Trends and Technology (IJMTT). V8:18-24 April 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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 , outer radius and height occupying region R: having initial temperature placed in an ambient temperature zero. The cylinder is subjected to the activity of moving heat source along circular trajectory of radius where 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.

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

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