A similar transport equation has been derived previously, but a more general expression is obtained through the present derivation.
In computing κ∥ and κ⊥, we use analytic expressions derived previously.
It has been derived previously for a liquid state of water produced by the fuel cell and given by [29].
The behaviour of composite beams under hogging bending has been successfully simulated using an analytical model derived previously.
An exact nonreflecting boundary condition was derived previously for use with the time dependent wave equation in three space dimensions.
Another scheme simulated, in order to validate the error probability expression derived previously, is the RA scheme with three RNs, all equipped with a single antenna.
Theoretical and simulated BER curves are shown in Figure 9, including the theoretical upper bound derived previously for high SNR regime.
Analytical solutions, describing the time-dependent DNAPL source-zone mass and contaminant discharge rate, derived previously in Part I [Falta, R.W., Rao, P.S., Basu, N., this issue.
In two limiting cases, isolated spherical particles (in a matrix or not) and layer structures, the solution for the stress reduces to results which have been derived previously.
The non-linear equations of motion including stretching due to immovable end conditions were derived previously [1] (Özkayaet al. 1997Journal of Sound and Vibration199, 679 696).
The force on a body in a uniform field is shown to be zero, which rectifies an incorrect result derived previously by others.
