Mathematical model of parallel-plate-channeled electromagnetic-driven pulsating dream pipe for rapid heat removal

In response to technical claims that troubled nuclear reactors be safely cooled in a short period, this study discovers new merits in the so-called dream pipe which can be a kind of forced oscillatory heat pipe. Introduced are not capillary-tube-bundled dream pipes with sinusoidally vibrating mechanical shakers but parallel-plate-channeled ones with electromagnetic-driven pulse-width-modulating oscillators. Governing momentum-and-energy equations thus become quite different from those used in traditional dream pipes. An extended variational technique based on the Laplace-transform Ritz method is applied to solve the non-steady, three-dimensional partial differential equations. Possible velocity-and-temperature profiles are derived to find the effective thermal diffusivity and the tidal displacement, which are combined to yield two performance indexes for the convenience. Those two are theoretically and numerically compared with the analysis results of Watson and of Kurzweg to demonstrate that ours are acceptable. Numerical computations are made to graphically show the heat diffusive capacity of the proposed new-style dream pipes and then to present design specifications for them.