Drag reduction phenomena, in which 14% drag reduction of tap water
flowing
in a 16 mm-diameter pipe occurs in the laminar flow range, have been clarified.
Experiments were carried out to measure the pressure drop and the velocity
profile
of tap water and an aqueous solution of glycerin flowing in pipes with
highly
water-repellent walls, by using a pressure transducer and a hot-film anemometer,
respectively. The same drag reduction phenomena also occurred in degassed
tap
water when using a vacuum tank. The velocity profile measured in this experiment
gives the slip velocity at the pipe wall, and it was shown that the shear
stress is
directly proportional to the slip velocity.The friction factor formula for a pipe with fluid slip at the wall has
been obtained
analytically from the exact solution of the Navier–Stokes equation,
and it agrees well
qualitatively with the experimental data.The main reasons for the fluid slip are that the molecular attraction
between the
liquid and the solid surface is reduced because the free surface energy
of the solid is
very low and the contact area of the liquid is decreased compared with
a conventional
smooth surface because the solid surface has many fine grooves. Liquid
cannot flow
into the fine grooves owing to surface tension. These concepts are supported
by the
experimental result that drag reduction does not occur in the case of surfactant
solutions.
By applying a highly water-repellent wall pipe in the drag reduction of polymer solutions, a flow system in which drag reduction is obtained in both laminar and turbulent flow ranges has been realized. Experiments were carried out to measure the pressure drop in pipes with a highly water-repellent wall and an acrylic resin wall by means of a pressure transducer. The diameter of the pipe was 6mm. The polymer solutions tested were PE015 aqueous solutions in the concentration range of 30ppm∼1000ppm. The drag reduction ratio for laminar flow was about 11∼15%. To understand this effect, the pressure drop was measured by using surfactant solutions and degassed water, and by pressurizing tap water in the pipeline. It was shown that the laminar drag reduction does not occur in the case of surfactant solutions although degassed water and pressurizing tap water in the pipeline have no effect on the reduction. In the laminar flow range, the friction factor of a power-law fluid with fluid slip was analyzed by applying the modified boundary condition on fluid slip at the pipe wall, and the analytical results agree with the experimental results in the low Reynolds number range.
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