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research-article

General solution for equation of transient heat conduction in FGM hollow cylinder with piezoelectric internal and external layers

[+] Author and Article Information
Mohsen Jabbari

Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
projectsjabbari@gmail.com

Mohammad Amin Kiani

Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
mohammad.amin_kiani@yahoo.com

1Corresponding author.

ASME doi:10.1115/1.4037195 History: Received February 03, 2015; Revised June 24, 2017

Abstract

In this paper, exact solution of the equation of transient heat conduction in two dimensional for a hollow cylinder made of functionally graded material and piezoelectric layers is developed. Temperature distribution, as function of radial and circumferential directions and time, is analytically obtained for different layers, using the method of separation of variables and generalized Bessel function. The functionally graded material properties, are assumed to depend on the variable r and they are expressed as power functions of r.

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