Transient analysis of internally heated tubular components with exponential thermal loading and external convection

Duhamel's integral and unit step response derived for a hollow cylinder were used to derive an analytical solution for the transient temperature distribution across a tubular component internally subjected to exponential thermal loading with external convection to the surrounding environment. E...

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Bibliographic Details
Published in:International journal of heat and mass transfer 1998-11, Vol.41 (22), p.3675-3678
Main Authors: VEDULA, V. R, SEGALL, A. E, RANGARAJAN, S. K
Format: Article
Language:English
Subjects:
Applied sciences
Boundary conditions
Computer simulation
Energy
Energy. Thermal use of fuels
Exact sciences and technology
Finite element method
Heat convection
Heat transfer
Integral equations
Piecewise linear techniques
Temperature distribution
Theoretical studies. Data and constants. Metering
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Summary:Duhamel's integral and unit step response derived for a hollow cylinder were used to derive an analytical solution for the transient temperature distribution across a tubular component internally subjected to exponential thermal loading with external convection to the surrounding environment. Excellent agreement was seen between the derived solution and a piecewise linear, finite element simulation. Because of the flexibility of the exponential boundary conditions used, the derived, closed-form solution has many practical research and industrial applications including the design process, as well as providing a first guess for an iterative, finite element analysis when materials nonlinearities are involved.
ISSN:0017-9310
1879-2189
DOI:10.1016/S0017-9310(98)00031-3