Question

In class I showed you the Hagen-Poiseuille equation, an analytical expression for the pressure drop for laminar flow (Re < 2300) conditions through a horizontal pipe of constant diameter: $\Delta P = \frac{128 \mu L}{\pi D^4} Q$ A similar approach can be made using the Blasius equation for a special case of turbulent flow conditions (4000 < Re < 100 000) to get the following expression for the pressure drop through a smooth, horizontal pipe of constant diameter: $\Delta P = 0.241 \frac{\rho^{0.75} \mu^{0.25} L}{D^{4.75}} Q^{1.75}$ Using Excel, prepare a chart that compares the pressure drop (Pa) versus volumetric flow rate (cm³/s) profiles for both laminar and turbulent flow of water at 5 °C through a smooth pipe (internal diameter = 1 cm) that is 15 m in length. Notes: The x-axis scale should be logarithmic with values from 1 to 1 000 cm³/s The y-axis scale should be logarithmic with values from 100 to 10 000 000 Pa

          In class I showed you the Hagen-Poiseuille equation, an analytical expression for the pressure drop for
laminar flow (Re < 2300) conditions through a horizontal pipe of constant diameter:
$\Delta P = \frac{128 \mu L}{\pi D^4} Q$
A similar approach can be made using the Blasius equation for a special case of turbulent flow
conditions (4000 < Re < 100 000) to get the following expression for the pressure drop through a
smooth, horizontal pipe of constant diameter:
$\Delta P = 0.241 \frac{\rho^{0.75} \mu^{0.25} L}{D^{4.75}} Q^{1.75}$
Using Excel, prepare a chart that compares the pressure drop (Pa) versus volumetric flow rate (cm³/s)
profiles for both laminar and turbulent flow of water at 5 °C through a smooth pipe (internal diameter =
1 cm) that is 15 m in length.
Notes:
The x-axis scale should be logarithmic with values from 1 to 1 000 cm³/s
The y-axis scale should be logarithmic with values from 100 to 10 000 000 Pa

In class I showed you the Hagen-Poiseuille equation, an analytical expression for the pressure drop for
laminar flow (Re < 2300) conditions through a horizontal pipe of constant diameter:
Δ P = (128 μ L)/(π D^4) Q
A similar approach can be made using the Blasius equation for a special case of turbulent flow
conditions (4000 < Re < 100 000) to get the following expression for the pressure drop through a
smooth, horizontal pipe of constant diameter:
Δ P = 0.241 (ρ^0.75μ^0.25 L)/(D^4.75) Q^1.75
Using Excel, prepare a chart that compares the pressure drop (Pa) versus volumetric flow rate (cm³/s)
profiles for both laminar and turbulent flow of water at 5 °C through a smooth pipe (internal diameter =
1 cm) that is 15 m in length.
Notes:
The x-axis scale should be logarithmic with values from 1 to 1 000 cm³/s
The y-axis scale should be logarithmic with values from 100 to 10 000 000 Pa

Added by Antonio R.

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