under what conditions may the lumped capacitance method be used to predict the transient response of a solid to a change in its thermal environment?

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09-12-2022
Physics

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under what conditions may the lumped capacitance method be used to predict the transient response of a solid to a change in its thermal environment?

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Tutorconsortium704 Tutorconsortium704 · Answer 1 · 2022-12-16T03:07:24-05:00

If Bi < 1, it means that there are very few temperature variations inside the solid. These conditions may the lumped capacitance method be used to predict the transient response of a solid to a change in its thermal environment

Under what condition is the lumped capacitance method valid?

A lumped capacitance study is often regarded as legitimate if the Biot number of the heat transfer scenario is less than 0.1.

What is the necessary condition that must be satisfied in order to apply the lumped system analysis?

The conduction heat resistance is negligible because lumped system analysis assumes a homogeneous temperature distribution throughout the body. As a result, when Bi = 0, the lumped system analysis is accurate. For lumped system analysis, tiny bodies with high heat conductivity make for suitable candidates.

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