This paper reports theoretical and numerical results about the reinjection process in type V intermittency. The M function methodology is applied to a simple mathematical model to evaluate the reinjection process through the reinjection probability density function (RPD), the probability density of laminar lengths, and the characteristic relation. We have found that the RPD can be a discontinuous function and it is a sum of exponential functions. The RPD shows two reinjection behaviors. Also, the probability density of laminar lengths has two different behaviors following the RPD function. The dependence of the RPD function and the probability density of laminar lengths with the reinjection mechanisms and the lower boundary of return are considered. On the other hand, we have obtained, for the analyzed map, that the characteristic relation verifies . Finally, we highlight that the M function methodology is a suitable tool to analyze type V intermittency and there is a very high accuracy between the new theoretical equations and the numerical data.
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December 2018
Research-Article
Discontinuous Reinjection Probability Density functions in Type V Intermittency
Sergio Elaskar,
Sergio Elaskar
Professor
Instituto de Estudios Avanzados
en Ingeniería y Tecnología,
IDIT Departamento de Aeronáutica,
FCEFyN Universidad Nacional de Córdoba
and CONICET,
Córdoba 5000, Argentina
e-mail: selaskar@unc.edu.ar
Instituto de Estudios Avanzados
en Ingeniería y Tecnología,
IDIT Departamento de Aeronáutica,
FCEFyN Universidad Nacional de Córdoba
and CONICET,
Córdoba 5000, Argentina
e-mail: selaskar@unc.edu.ar
Search for other works by this author on:
Ezequiel del Río
Ezequiel del Río
Professor
E.T.S.I. Aeronáutica y Espacio,
Universidad Politécnica de Madrid,
Madrid 28040, Spain
E.T.S.I. Aeronáutica y Espacio,
Universidad Politécnica de Madrid,
Madrid 28040, Spain
Search for other works by this author on:
Sergio Elaskar
Professor
Instituto de Estudios Avanzados
en Ingeniería y Tecnología,
IDIT Departamento de Aeronáutica,
FCEFyN Universidad Nacional de Córdoba
and CONICET,
Córdoba 5000, Argentina
e-mail: selaskar@unc.edu.ar
Instituto de Estudios Avanzados
en Ingeniería y Tecnología,
IDIT Departamento de Aeronáutica,
FCEFyN Universidad Nacional de Córdoba
and CONICET,
Córdoba 5000, Argentina
e-mail: selaskar@unc.edu.ar
Ezequiel del Río
Professor
E.T.S.I. Aeronáutica y Espacio,
Universidad Politécnica de Madrid,
Madrid 28040, Spain
E.T.S.I. Aeronáutica y Espacio,
Universidad Politécnica de Madrid,
Madrid 28040, Spain
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received March 30, 2018; final manuscript received September 14, 2018; published online October 15, 2018. Assoc. Editor: Mohammad Younis.
J. Comput. Nonlinear Dynam. Dec 2018, 13(12): 121001 (10 pages)
Published Online: October 15, 2018
Article history
Received:
March 30, 2018
Revised:
September 14, 2018
Citation
Elaskar, S., and del Río, E. (October 15, 2018). "Discontinuous Reinjection Probability Density functions in Type V Intermittency." ASME. J. Comput. Nonlinear Dynam. December 2018; 13(12): 121001. https://doi.org/10.1115/1.4041577
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