International Journal of Scientific Engineering and Technology

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Heat Conduction of a Circular Hollow Cylinder Amidst Mixed Boundary Conditions


Affiliations
1 Mathematics and Statistics Department, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia
 

In this paper, we determine the analytical solution of the transient heat conduction problem in a homogenous hollow infinite cylinder that is subjected to different boundary conditions on the outer surface, while the temperature at the inner surface is kept at zero temperature throughout. The Jones's modification of the Wiener-Hopf technique is utilized due to the mixed nature of the boundary conditions on the outer surface of the cylinder to determine the overall temperature and heat flux.

Keywords

Hollow Cylinder, Heat Conduction, Mixed Boundary Conditions, and Wiener-Hopf Technique.
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  • Heat Conduction of a Circular Hollow Cylinder Amidst Mixed Boundary Conditions

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Authors

Rahmatullah Ibrahim Nuruddeen
Mathematics and Statistics Department, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia
Fiazud Din Zaman
Mathematics and Statistics Department, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia

Abstract


In this paper, we determine the analytical solution of the transient heat conduction problem in a homogenous hollow infinite cylinder that is subjected to different boundary conditions on the outer surface, while the temperature at the inner surface is kept at zero temperature throughout. The Jones's modification of the Wiener-Hopf technique is utilized due to the mixed nature of the boundary conditions on the outer surface of the cylinder to determine the overall temperature and heat flux.

Keywords


Hollow Cylinder, Heat Conduction, Mixed Boundary Conditions, and Wiener-Hopf Technique.