Inverse Heat Conduction Problem in a Semi-infinite Hollow Cylinder and its Thermal Deflection by Quasi-static Approach

Abstract

In this study inverse heat conduction problem is to simultaneously determine unknown temperature and thermal deflection on the outer curved surface of a semi-infinite hollow circular cylinder from the knowledge of temperature distribution within the cylinder. The hollow circular cylinder is subjected to an arbitrary known temperature under unsteady state condition. Initially the cylinder is at zero temperature and temperature at the lower surface is at zero heat flux. Also the inner boundary surface of the cylinder is at zero temperature. The governing heat conduction equation has been solved by using integral transform method. The results are obtained in series form in terms of Bessel’s functions. Mathematical model has also been constructed with the help of numerical illustration.

References

[1] Sabherwal K.C., 1965. Indian Journal of Pure and Applied Physics, 3(10), 397-398.

[2] Sabherwal K.C., 1966. Indian Journal of Pure and Applied Physics, vol. XL(8), 448-450.

[3] Deshmukh K.C., Wankhede P.C., 1998. An inverse quasi-static transient thermoelastic problem in a thin circular plate, Bulletin of Pure and Applied Sciences, 17(1), 209-207.

[4] Khobragade N.L., Deshmukh K.C., 2005. An inverse quasi-static thermal deflection problem for a thin clamped circular plate, J. Thermal Stresses, 28(4), 353-361.

[5] Tikhe A.K. and Deshmukh K. C., 2006. Inverse heat conduction problem in a thin circular plate and its thermal deflection, Journal of Applied Mathematical Modelling, 30, 554-560.

[6] Kulkarni V.S., Deshmukh K.C., 2008. An inverse quasi-static thermal stresses in a thick circular plate J. Franklin Institute, 345, 29-38.

[7] Deshmukh K.C., Warbhe S. D., Kulkarni V.S., 2009. Quasi-static thermal deflection of a thin clamped circular plate due to heat generation, Journal of Thermal Stresses, 32(9), 877-886.

[8] Deshmukh K.C., Warbhe S.D., Kedar G.D. and Kulkarni V.S., 2010. Inverse Heat Conduction Problem in a Semi-infinite Circular Plate and its Thermal Deflection by Quasi-static Approach, Applications and Applied Mathematics: An International Journal (AAM), 5(1), 120-127.

[9] Ozisik M.N., 1968. Boundary value problems of heat conduction, International Text Book Company, Scranton, Pennsylvania.
Published
2015-01-28
How to Cite
. Inverse Heat Conduction Problem in a Semi-infinite Hollow Cylinder and its Thermal Deflection by Quasi-static Approach. International Journal of Applied Mathematics and Computation, India, v. 6, n. 2, p. 15-21, jan. 2015. ISSN 0974-4673. Available at: <http://www.darbose.in/ojs/index.php/ijamc/article/view/602>. Date accessed: 13 dec. 2018. doi: https://doi.org/10.0000/ijamc.2014.6.2.602.
Section
Articles

Keywords

Transient heat conduction, Thermal deflection, Inverse thermoelastic problem, Quasi-static, semi-infinite cylinder.

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.