Question: Consider one-dimensional transient conduction with a convective boundary condition in which the ambient temperature near the surface is a function of time. Determine the energy

Consider one-dimensional transient conduction with a convective boundary condition in which the ambient temperature near the surface is a function of time. Determine the energy balance equation for the boundary control volume. How would the solution method need to be modified to accommodate this complexity?
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One-dimensional transient conduction where the ambient temperature near the surface is a function of time

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