Detection of cigarette smoke using a fiber membrane filmed with carbon nanoparticles and a fractal current law

Abstract

Cigarette smoke will cause irreversible damage to human health and living environment. It is especially important to accurately detect and effectively prevent cigarette smoke. This paper fabricates a fiber membrane filmed with carbon nanopowders as a smoke sensor. The experiment reveals that the fabricated membrane is sensitive to the smoke, two laws are proposed to model the current change of the sensor. Fractal calculus is used to exactly predict the current property at the initial stage, and a fractal modification of the current law is proposed. The present technology provides an economic way to mass-production of smoke sensors.

Fractal Approach to Mechanical and Electrical Properties of Graphene/Sic Composites

“…The fractal theory has become a useful tool to various engineering problems, for examples, non-smooth fibers [14], the fractal current law [15], the fractal pressure drop through a cigarette filter [16], fractal-like multiple jets in electrospinning process [17], the fractional Fokker-Planck equation [18], the fractional Kundu-Mukherjee-Naskar equation [19], the fractal Telegraph equation [20], and fractal integral equations and fractal oscillators [21,22], the fractal Boussinesq equation [23], the fractal microgravity [24],the fractal Bratu-type equation [25], the fractal diffusion [26], the fractal two-phase flow [27], the fractal boundary problems [28], and the fractal convection-diffusion law [29].…”

When mathematics meets thermal science: The simpler is the better

“…A sudden earthquake, a sudden avalanche and a sudden gas explosion arise in, respectively, an extremely slow change of tectonic plate's motion, an extremely slow motion of the snow drift, and an extremely slow concentration change of a flammable gas. Other examples include the fractal current law [12], the fractal rheological law [13], and fast-slow convection-diffusion process [14]. As an illustrating example, we consider the well-known brachistochrone problem.…”

Fabrication of PVDF/PES nanofibers with unsmooth fractal surfaces by electrospinning: A general strategy and formation mechanism

“…Though there are many reports for producing unsmooth fibers [19,20], its mechanism is not clear yet, furthermore the mechanism for attracting properties due to unsmooth surface with hierarchical structure is still an open problem. This paper gives a general strategy and formation mechanism for fabrication of hierarchical fibers.…”