Analytic calculations of the electric field of a parallel-plate capacitor are notoriously difficult [1, 2, 3, 4, 5, 6, 7, 8]. The usual goal of such efforts is a calculation of the correction to the hard-edge approximation, C = A/4πd (in Gaussian units), of the capacitance for plates of area A separated by distance d. Calculate instead the electromagnetic momentum of the parallel-plate capacito...

It has been demonstrated, using variational methods, that quantum vacuum energy gravitates according to the equivalence principle, at least for the finite Casimir energies associated with perfectly conducting parallel plates. This conclusion holds independently of the orientation of the plates. We review these arguments and add further support to this conclusion by considering parallel semitran...

In this paper we have studied the effect of free convection on the heat transfer and flow through variable porous medium which is bounded by two vertical parallel porous plates. In this study it is assume that free stream velocity oscillates with time about a constant mean. Periodic temperature is considered in the moving plate. Effect of different parameters on mean flow velocity, Transient ve...

Natural convection between vertical parallel plates occurs frequently in applications such as solar collectors and cooling of electronic instruments. The problem is a two dimensional developing buoyant flow. In this work, the two dimensional conservation equations are solved numerically for constant wall temperature and constant wall heat flux. The results for the local Nusselt number at the du...

The Casimir Force was predicted in 1948 by Dutch physicist Hendrick Casimir. Casimir realized that when calculating the energy between two parallel uncharged conducting plates, only those virtual photons whose wavelengths fit an integral number of times into the gap should be counted. Each mode contributes to a pressure on the plates, and the infinite number of modes outside the plates is in so...

The Casimir force between parallel plates of arbitrary kind is shown to be simply related to the plates transmission and reflection coefficient. A trivial application of this general relation leads to known Lifshitz force between dielectrics as well as its generalizations. The simple two ideally conducting parallel plates Casimir force F = − π 240 h̄c a4 [1] recently been measured experimentally...