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Electric potential difference(EPD) method is widely used for diagnosing and monitoring flow conduits. Theoretical analysis and the exact solution of the electrical potential field in pipe wall have been given, and 2D approximation is effective for small pipe wall thickness there. This study proposes to use temperature distribution driven by Joule heat with the electric current other than electrical potential difference. Under thin wall approximation, 2D electric and thermal problems are analyzed and exact solutions are given.
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