Working experience with a foundry solar furnace

Literature reveals that a low order priority has been given to foundry applications of the solar furnace for temperatures upto about 1000°C. In the present work, the performance of a solar furnace capable of melting small quantities of foundry-grade metals and alloys had been studied under various conditions. Crucibles of different materials and shapes were tried and the effect of having different heat-shield materials was also studied. Al---bronze crucible with cavity, and well-polished stainless stell heat-shield were found to be most effective in enhancing the efficiency of the furnace. Many important industrial applications of the present solar furnace, such as the recovery of metallic zinc from slags, had also been realised.

Transient state work fluctuation theorem for a classical harmonic oscillator linearly coupled to a harmonic bath

Based on a Hamiltonian description we present a rigorous derivation of the transient state work fluctuation theorem and the Jarzynski equality for a classical harmonic oscillator linearly coupled to a harmonic heat bath, which is dragged by an external agent. Coupling with the bath makes the dynamics dissipative. Since we do not assume anything about the spectral nature of the harmonic bath the derivation is not restricted only to the Ohmic bath, rather it is more general, for a non-Ohmic bath. We also derive expressions of the average work done and the variance of the work done in terms of the two-time correlation function of the fluctuations of the position of the harmonic oscillator. In the case of an Ohmic bath, we use these relations to evaluate the average work done and the variance of the work done analytically and verify the transient state work fluctuation theorem quantitatively. Actually these relations have far-reaching consequences. They can be used to numerically evaluate the average work done and the variance of the work done in the case of a non-Ohmic bath when analytical evaluation is not possible.