The temperature of a steel sphere with initial temperature (T_{0}) submerged in water with temperature (T_{i}) is

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The temperature of a steel sphere with initial temperature $T_{0}$ submerged in water with temperature $T_{i}$ is governed by the initial-value problem

\[R C \dot{T}+T=T_{i}, \quad T(0)=T_{0}\]

where:

$R$ is the thermal resistance due to convection

$C$ is the thermal capacitance of the sphere Find the temperature of the sphere at any time, as well as its steady-state value.

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Modeling And Analysis Of Dynamic Systems

ISBN: 9781138726420

3rd Edition

Authors: Ramin S. Esfandiari, Bei Lu

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Question Posted: Mar 22, 2024 11:34 AM

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The temperature of a steel sphere with initial temperature (T_{0}) submerged in water with temperature (T_{i}) is

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To solve the initialvalue problem for the temperature of the steel sphere we can use the method of i...View the full answer

Modeling And Analysis Of Dynamic Systems

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