Page - 1549 - in Book of Full Papers - Symposium Hydro Engineering

No Investigator Year Formula Validity Range R2 1 Chavan 2017 𝑓 𝑓 = 20 𝑅 𝑒 + [ 0.0075( 4000 𝑅 𝑒 ) 0.05 0.25 + ( 4000 𝑅 𝑒 ) 5 ] Valid for wide range of Reynolds number 0.9777 2 Morrison 2013 𝑓 = 16 𝑅 𝑒 + [ 0.0076( 3170 𝑅 𝑒 ) 0.165 1+ ( 3170 𝑅 𝑒 ) 7 ] Inaccuracy crept in for higher values of Reynolds numbers 3 Barenblatt 2005 𝑓 = 8 𝜓 2(1+𝛼 ) Re< 13×10 6 4 Mckeon 2005 1 √𝑓 = 1.920 log (𝑅 𝑒 √𝑓 − 0.475− 7.04 (𝑅 𝑒 √𝑓 ) 0.55 5 Yen 1991 𝑓 = 1 4 [−𝑙 𝑜 𝑔 ( 𝑒 12𝑅 ) + 5.2 (4𝑅 𝑒 )0.9 ] −2 30000<Re , 𝑒 𝐷 < 0.05 6 Barr 1981 𝑓 = 1 4 [−𝑙 𝑜 𝑔 ( 𝑒 14.8𝑅 ) + 5.2 (4𝑅 𝑒 )0.89 ] −2 7 Chen 1979 1 √𝑓 = −2𝑙 𝑜 𝑔 [ 1 3.7605 [ 𝑒 𝐷 ] − 5.0452𝐴 𝑅 𝑒 ] 4000<Re<10 8 0.000001< 𝑒 𝐷 0.9148 8 Churchil 1977 𝑓 = 8 [ (8/𝑅 𝑒 )12 + 1 (𝐴 + 𝐵 )1.5 ] 1 12 0.9066 9 Haaland 1983 𝑓 = 0.308642 [𝑙 𝑜 𝑔 ⟨( 𝑒 3.7𝐷 ) 1.11 + | 6.9 𝑅 𝑒 ⟩] 2 0.85096 10 Colebrook 1938- 39 1 √𝑓 = −2𝑙 𝑜 𝑔 [ 𝑒 𝐷 3.7 + 2.51 𝑅 𝑒 √𝑓 ] 0.90416 11 Serghides 1984 1 √𝑓 = ⌊𝐴 − (𝐵 − 𝐴 ) 𝐶 − 2𝐵 + 𝐴 2 ⌋ Re>2100 and any e/D 12 Swami-Jain 1976 1 √𝑓 = 1.14 − 2𝑙 𝑜 𝑔 [[ 𝑒 𝐷 ] + 21.25 𝑅 𝑒 0.9 ] 5000<Re<108 0.000001˂ 𝑒 𝐷 ˂0.05 13 Barr 1972 𝑓 = 1 4 [𝑙 𝑜 𝑔 ( 𝑒 14.8𝑅 ) + 5.76 (4𝑅 𝑒 )0.9 ] −2 0.9051 14 Zigrang & Sylvester 1982 1 √𝑓 = −2𝑙 𝑜 𝑔 [ 1 3.7 [ 𝑒 𝐷 ]− 5.02𝐴 𝑅 𝑒 ] 4000<Re<10 8 and 0˂ 𝑒 𝐷 ˂0.04 0.904104 15 Wood 1966 𝑓 = 0.094( 𝑒 𝐷 ) 0.223 + 0.53( 𝑒 𝐷 )+88( 𝑒 𝐷 ) 0.44 (𝑅 𝑒 )−𝜓 4000˂Re˂5*108 0.00001˂ 𝑒 𝐷 ˂0.04 0.7075 16 Moody 1947 𝑓 = 0.0053[1+ (2∗ 104 𝜀 𝐷 + 106 𝑅 𝑒 ) 1 3 ] 4000˂Re˂5*108 0˂ 𝜀 𝐷 ˂0.01 1549