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. 2016 Oct 26;3(10):160406. doi: 10.1098/rsos.160406

Table 2.

Sustained performance parameters. In all expressions, an overbar denotes a reduced speed: u¯=u/w,v¯min(γ)=vmin(γ)/w, v¯+=v+/w and v¯=v/w. Reference equations for the first row are (3.34), (3.20), (3.25), (3.19), (3.28) and (3.27), respectively.

type v¯min(0) v¯+ P+/P0 v¯ P/P0 Cw/P0
exact u¯(CD0KCL,max2)1/4 u¯31/4 1+2u¯333/4 solution of v¯v¯4+u¯4=0 1+v¯32+u¯42v¯ 1v¯+v¯22+u¯42v¯2
series, u¯1 1+13u¯4+ 32+u¯4+ 32+12u¯4+
series, u¯1 u¯+14u¯2+ u¯3+54+ u¯2+1u¯+
best fit, u¯(0,) 6+3u¯11/3+8u¯76+8u¯6 6+10u¯11/3+5u¯74+5u¯4 9+5u¯11/3+3u¯76+3u¯5
best fit, u¯(0,1.3) 1+314u¯3 32+45u¯7/2 32+25u¯3