Flow helicity in a simplified statistical model of a fast dynamo |
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| Institution: | 1. School of Accounting, Chongqing University of Technology, Chongqing 400044, China;2. School of Computer Science, Chongqing University, Chongqing 400044, China;3. ARC Centre of Excellence for Mathematical & Statistical Frontiers (ACEMS), School of Mathematical Science, University of Adelaide, Adelaide, SA 5005, Australia;4. IIJ, Japan;5. Image Intelligence, Australia;1. Department of Chemical Engineering, Faculty of Industrial Technology, Institut Teknologi Bandung, Bandung 40132, Indonesia;2. Department of Bioenergy Engineering and Chemurgy, Faculty of Industrial Technology, Institut Teknologi Bandung, Bandung 40132, Indonesia;3. Research Group on Design and Development of Chemical Engineering Processes, Faculty of Industrial Technology, Institut Teknologi Bandung, Bandung 40132, Indonesia;4. Department of Chemical Engineering, Faculty of Industrial Technology, Bung Hatta University, Padang, Indonesia;5. Research Group on Biomass and Food Processing Technology, Faculty of Industrial Technology, Institut Teknologi Bandung, Bandung 40132, Indonesia |
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| Abstract: | The role of kinetic helicity in small-scale fast dynamo action is investigated by employing a simple statistical model for the underlying flow with statistics that are Gaussian distributed, temporally delta-correlated and spatially homogeneous and isotropic. In order to focus on small-scale dynamo action we restrict our attention to flows possessing no net kinetic helicity. With the help of a diagrammatic technique and a numerical calculation we show that the dynamo growth rate is independent of the kinetic helicity as the magnetic Reynolds number Rm → ∞. It is indicated that the latter enhances the growth of the magnetic energy only for finite Rm. |
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