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- W1978199372 abstract "Effects of nanoparticle clustering on the heat transfer in nanofluids using the scale relativity theory in the topological dimension D T = 3 are analyzed. In the one-dimensional differentiable case, the clustering morphogenesis process is achieved by cnoidal oscillation modes of the speed field. In such conjecture, a non-autonomous regime implies a relation between the radius and growth speed of the cluster while, a quasi-autonomous regime requires El Naschie’s ε (∞) theory through the cluster–cluster coherence ( El Naschie global coherence ). Moreover, these two regimes are separated by the golden mean. In the one-dimensional non-differentiable case, the fractal kink spontaneously breaks the ‘vacuum symmetry’ of the fluid by tunneling and generates coherent structures. This mechanism is similar to the one of superconductivity . Thus, the fractal potential acts as an energy accumulator while, the fractal soliton , implies El Naschie’s ε (∞) theory ( El Naschie local coherence ). Since all the properties of the speed field are transferred to the thermal one, for a certain conditions of an external load (e.g. for a certain value of thermal gradient) the soliton and fractal one breaks down (blows up) and release energy. As result, the thermal conductibility in nanofluids unexpectedly increases. Here, El Naschie’s ε (∞) theory interferes through El Naschie global and local coherences." @default.
- W1978199372 created "2016-06-24" @default.
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- W1978199372 date "2008-09-01" @default.
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- W1978199372 title "El Naschie’s ε(∞) theory and effects of nanoparticle clustering on the heat transport in nanofluids" @default.
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- W1978199372 doi "https://doi.org/10.1016/j.chaos.2008.01.006" @default.
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