Question

For the turbulent flow the Colebrook equation provides to calculate friction factor, \frac{1}{\sqrt{f}} = -2\log\left(\frac{\varepsilon}{3.7D} + \frac{2.51}{Re\sqrt{f}}\right) Where $Re = \frac{DV\rho}{\mu}$, $\rho = 1.23$, $\mu = 1.79 \times 10^{-5}$, $D = 0.005$, $V = 40$, $\varepsilon = 0.0015$ Using any learned numerical method (Bisection or Newton Raphson or Secant method) to determine the friction factor. Note: Using the formula $f = \frac{0.316}{Re^{0.25}}$ for the initial guess of friction factor.

          For the turbulent flow the Colebrook equation provides to calculate friction factor,
\frac{1}{\sqrt{f}} = -2\log\left(\frac{\varepsilon}{3.7D} + \frac{2.51}{Re\sqrt{f}}\right)
Where $Re = \frac{DV\rho}{\mu}$, $\rho = 1.23$, $\mu = 1.79 \times 10^{-5}$, $D = 0.005$, $V = 40$, $\varepsilon = 0.0015$
Using any learned numerical method (Bisection or Newton Raphson or Secant method)
to determine the friction factor.
Note: Using the formula $f = \frac{0.316}{Re^{0.25}}$ for the initial guess of friction factor.

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For the turbulent flow the Colebrook equation provides to calculate friction factor,
(1)/(√(f)) = -2log((ε)/(3.7D) + (2.51)/(Re√(f)))
Where Re = (DVρ)/(μ), ρ = 1.23, μ = 1.79 × 10^-5, D = 0.005, V = 40, ε = 0.0015
Using any learned numerical method (Bisection or Newton Raphson or Secant method)
to determine the friction factor.
Note: Using the formula f = (0.316)/(Re^0.25) for the initial guess of friction factor.

Added by Jose Ramon K.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Ameer Said

11/12/2021

Step 1

005 \, \text{m} \] \[ V = 40 \, \text{m/s} \] \[ \nu = 0.0015 \, \text{m}^2/\text{s} \] \[ Re = \frac{0.005 \times 40}{0.0015} = \frac{0.2}{0.0015} = 133333.33 \] Show more…

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What is the solution, but without a Matlab program? For the turbulent flow, the Colebrook equation provides to calculate the friction factor: 1/√f = -2log((ε/D)/3.7 + (2.51/(Re√f))). Given: ε = 1.23x10^-5, D = 0.005, V = 40, and ν = 0.0015. Using any learned numerical method (Bisection or Newton Raphson or Secant method) to determine the friction factor. Note: Using the formula f = 0.316(Re)^0.25 for the initial guess of the friction factor.

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