This paper is concerned with the self-similar solutions to the compressible Navier-Stokes equations of a 1D viscous polytropic ideal gas. Our results show that there exist neither forward nor backward selfsimilar solutions with finite total energy, which generalizes the results for the case of the isothermal compressible Navier-Stokes equations in Z. Guo and S. Jiang (Self-similar solutions to ...

Polymerase chain reaction is the most widely used method for in vitro DNA amplification. However, it requires thermocycling to separate two DNA strands. In vivo, DNA is replicated by DNA polymerases with various accessory proteins, including a DNA helicase that acts to separate duplex DNA. We have devised a new in vitro isothermal DNA amplification method by mimicking this in vivo mechanism. He...

water and energy are key commodities utilized in the process industries.water minimization and energy minimization have been studied separately. in this paper, a new systematic design methodology has been developed for the simultaneous management of energy and water systems that also feature maximum re-use of water. in addition to allowing re-use of water, issues about heat losses inside unit o...

concurrent hyperthermia and radiation therapy in treatment of cancer show a strong evidence of a synergistic enhancement. we designed a new self-regulating thermo-brachytherapy seed, which serves as a source of both radiation and heat for concurrent administration of brachytherapy and hyperthermia. the thermo-brachytherapy seed has a core of ferromagnetic material which produces heat when subje...

The numerical simulation of all steps of the production of a steel workpiece is nowadays a widely used tool for understanding and optimization of such processes. The transformation of austenite into ferritic phases is an important feature of heat treatment of steel. Good models for the non-isothermal phase transition are a necessary prerequisite for various other modeling steps. We evaluate som...