Boundary Layer Mixture Model for a Microbubble Drag Reduction Technique

Table 1

Density and Reynolds number effect on the microbubble drag reduction.

𝐶𝑣	𝜌𝑏/𝜌𝑤	𝑅^−0.2𝑒𝑏𝑙/𝑅^−0.2𝑒𝑙	𝐶fb/𝐶𝑓	DR
0.000	1.000	1.000	1.000	0.000
0.100	0.900	1.000	0.900	0.100
0.200	0.800	1.001	0.801	0.199
0.300	0.700	1.001	0.701	0.299
0.400	0.600	1.002	0.602	0.398
0.500	0.501	1.003	0.502	0.498
0.600	0.401	1.004	0.402	0.598
0.700	0.301	1.006	0.303	0.797
0.800	0.201	1.011	0.203	0.897
0.900	0.101	1.024	0.103	0.997
0.990	0.011	1.174	0.013	0.987