Abstract

We report on the experiments of turbulent pipe flow with a porous wall. The pipe wall consists of a cylindrical porous medium in which there are many radial fine through-holes connected with a plenum chamber. We have investigated the dependence of friction factor f on Reynolds number Re up to Re~105 in porous pipe flow with a chamber, porous pipe flow without a chamber, and a smooth pipe flow. In the non-porous case, turbulent flow exhibits the Blasius law f = 0.3164Re-1/4 in the range of 3 × 103 ≲ Re ≲ 105. In porous pipe flow with chamber, on the other hand, we have found the scaling f~Re0 at higher Re ≳ 2 × 104, implying the Taylor dissipation law. In porous pipe flow without chamber, the friction drag increases compared to the non-porous case, but f decreases with increasing Re at Re ≲ 105. The significant difference in porous pipe flows with and without chamber suggests that the scaling f~Re0 in porous pipe flow with chamber is attributed to the fluid motion through the porous wall.

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