what is Darcy-weisbach formula & Chezy's formula to find the loss of energy due to friction ?

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hf = f (L/D) x (v 2 /2g) where: hf = head loss (m) f = friction factor L = length of pipe work (m) d = inner diameter of pipe work (m) v = velocity of fluid (m/s) g = acceleration due to gravity (m/s²) Chezy’s Formula for Loss of Head due to Friction Consider uniform horizontal pipe as...
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hf = f (L/D) x (v 2 /2g) where: hf = head loss (m) f = friction factor L = length of pipe work (m) d = inner diameter of pipe work (m) v = velocity of fluid (m/s) g = acceleration due to gravity (m/s²) Chezy’s Formula for Loss of Head due to Friction Consider uniform horizontal pipe as shown in and Equation derived in Darcy-Weisbach equation. Where is, hf = f’/ ?. P/A X L V2 We know, hydraulic radius is the ratio of area of flow to wetted perimeter. It is denoted by ‘m’. m = A/P = ?/4d2 / ?d = d/4 P/A = 1/m put value of P/A in Equation, hf = f’/ ?. 1/m. L V2 V2 = hf. ?.m / f’.L V = ? ? / f'. hf / L. m Consider ? ? / f' = C i.e. Chezy’s constant and hf / L = I i.e. loss of head per unit length of pipe. Put the above value in Equation, V = C?m i This is known as Chezy’s formula. Relation between the freiction factor f and the chezy’s constant C: Head loss due to Darcy Equation, hf = fLV2/ 2gd From Chezy’s Equation, V = C?m i Where, m = d/4, I = hf/L put in Equation, V = C ?m i Squaring both side, V2 = C2 x d/4 x hf / L hf = 4V2L / C2d Equate Equation f LV2/2gd = 4V2L/C2d f = 8g / C2 This is the required relation between Darcy’s coefficient and Chezy’s Constant read less
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