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On nonlocal fractal laminar steady and unsteady flows

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Abstract

In this study, we join the concept of fractality introduced by Li and Ostoja-Starzewski with the concept of nonlocality to produce a new set of nonlocal fractal fluid equations of motion. Both the unsteady and steady laminar flows are discussed. It is revealed that a damped wave equation emerges from the nonlocal fractal Navier–Stokes equation, a result which could lead to a better understanding of fluids turbulence.

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  1. Mathematics and Physics Divisions, Athens Institute for Education and Research, 8 Valaoritou Street, 10671, Kolonaki, Athens, Greece

    Rami Ahmad El-Nabulsi

  2. Biomedical Device Innovation Center, Shenzhen Technology University, 3002 Lantian Road, Pingshan,, Shenzhen, 518118, China

    Rami Ahmad El-Nabulsi

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  1. Rami Ahmad El-Nabulsi
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El-Nabulsi, R.A. On nonlocal fractal laminar steady and unsteady flows. Acta Mech 232, 1413–1424 (2021). https://doi.org/10.1007/s00707-020-02929-8

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