Abstract

Long-term growth of a turbulent spot is examined numerically in plane Poiseuille flow at low Reynolds numbers that are characterized by subcritical intermittent turbulent flow. The turbulent spot is generated by vortex pairs with a finite spatial size and a magnitude strong enough to induce transition. In a range of the friction Reynolds number from 56 to 64, the turbulent stripe pattern occurs inside the spot in a late stage of development, while the spot itself grows in a form of V shape and is accompanied by two leading-edge branches and successive waves. The propagation speeds with respect to the leading and trailing edges of the spot are found to be 0.86U_c and 15u_T (U_c, laminar centerline velocity; u_r, mean friction velocity), respectively, exhibiting their independence on the Reynolds number.

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