Entropy generation in oscillatory flow between parallel plates

The problem of a zero-mean oscillatory flow of a Newtonian fluid between infinite parallel plates with thermal boundary conditions of the third kind is considered. With the analytic solutions for the velocity and temperature fields at hand, the local and global time-averaged entropy production are computed. The consequences of having different convective heat transfer coefficients in each plate are assessed for this problem and some conditions that lead to entropy generation minimization are determined.