Friction factor, f in the turbulent flow region (Reynold's number, Re> 4000) can be calculated by...

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Friction factor, f in the turbulent flow region (Reynold's number, Re> 4000) can be calculated by using the Colebrook-White equation: e 9.35 = 1.14- -2logo 10 (1 + D Re√ √f Where, is the relative surface roughness. a) Direct substitution method should be applied to solve the equation for the friction factor for a relative surface roughness of 0.01 and Reynold's number of 6000. Convert the equation to x-g(x) form in terms of f(2pts). b) Write a Matlab m-file to solve the equation using direct substitution method to achieve a tolerance of le-9 using a first guess of 0.05. How many iteration it requires? How many iteration is required for a first guess of 0.5 and 1.0, respectively? (4 pts) c) If the equation is expressed as: 1 77 The derivative of the function is: • (- - 1.14 + 2log10 e 9.35 + Ref 4.061 Reff 9.35 1 2f√f e D Ref <=0 Use this equation to solve the equation using Newton's method with a first guess of 0.05. How many iteration is required by Newton's method? How many iteration is required for a first guess of 0.5 and 1.0, respectively or is it solvable by Newton's method for a first guess of 0.5 and 1.0? Friction factor, f in the turbulent flow region (Reynold's number, Re> 4000) can be calculated by using the Colebrook-White equation: e 9.35 = 1.14- -2logo 10 (1 + D Re√ √f Where, is the relative surface roughness. a) Direct substitution method should be applied to solve the equation for the friction factor for a relative surface roughness of 0.01 and Reynold's number of 6000. Convert the equation to x-g(x) form in terms of f(2pts). b) Write a Matlab m-file to solve the equation using direct substitution method to achieve a tolerance of le-9 using a first guess of 0.05. How many iteration it requires? How many iteration is required for a first guess of 0.5 and 1.0, respectively? (4 pts) c) If the equation is expressed as: 1 77 The derivative of the function is: • (- - 1.14 + 2log10 e 9.35 + Ref 4.061 Reff 9.35 1 2f√f e D Ref <=0 Use this equation to solve the equation using Newton's method with a first guess of 0.05. How many iteration is required by Newton's method? How many iteration is required for a first guess of 0.5 and 1.0, respectively or is it solvable by Newton's method for a first guess of 0.5 and 1.0?

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a To convert the ColebrookWhite equation to the form x gx you can follow these steps 1 Start with th... View the full answer