Boundary Control of Temperature Distribution in a Spherical Shell With Spatially Varying Parameters

    Authors

    H. Rastgoftar; M. Eghtesad;A. Khayatian

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    J. Heat Transf.-Trans. ASME

    Keywords

    boundary control; temperature control; spherical shell; spatially; varying parameters; FUNCTIONALLY GRADED MATERIALS; TRANSIENT HEAT-CONDUCTION; EQUATION; Thermodynamics; Engineering, Mechanical

    Abstract

    This paper presents a solution to the control (stabilization) problem of temperature distribution in spherical shells with spatially varying properties. The desired temperature distribution satisfies the steady-state heat conduction equation. For the spherical shell under consideration, it is assumed that material properties such as thermal conductivity, density, and specific heat capacity may vary in radial, polar, and azimuthal directions of the spherical shell; the governing heat conduction equation of the shell is a second-order partial differential equation. Using Lyapunov's theorem, it is shown how to obtain boundary heat flux required for producing a desired steady-state distribution of the temperature. Finally, numerical simulation is provided to verify the effectiveness of the proposed method such that by applying the boundary transient heat flux, in-domain distributed temperature converges to its desired steady-state temperature. [DOI: 10.1115/1.4004451]

    Journal Title

    Journal of Heat Transfer-Transactions of the Asme

    Volume

    134

    Issue/Number

    1

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    5

    WOS Identifier

    WOS:000297932000002

    ISSN

    0022-1481

    Share

    COinS