Prandtl Number#

\[Pr_s = \frac {1}{a + b\cdot T + c\cdot T^2 + d\cdot T^3} \tag{10}\]

where

Var

Description

Prs

is the Prandtl number liquid water

T

is temperature of the water °C

a

is 0.074763403

b

is 0.0029020983

c

is 2.8606181e-05

d

is -8.1395537e-08

<details> <summary style="color:MediumSlateBlue"> <i> Show/Hide Code </i> 10prandtl.py </summary>

import altair as alt
import numpy as np
import pandas as pd

T = np.linspace(0, 30, 31)

pr = 1 / (0.074763403 + 0.0029020983 * T + 2.8606181e-05 * np.power(T, 2) - \
    8.1395537e-08 * np.power(T, 3))

source = pd.DataFrame({
  'Temperature °C': T,
  'Prandtl Number': pr
})

chart = alt.Chart(source).mark_line().encode(
    x=alt.X('Temperature °C', axis=alt.Axis(title='Temperature °C')),
    y=alt.Y('Prandtl Number', axis=alt.Axis(title='Prandtl Number'),
           scale=alt.Scale(domain=(5, 14))
           ),
    tooltip=['Temperature °C', alt.Tooltip('Prandtl Number', format='.2f')]
).properties(
        title={
            "text": "Prandtl Number of Saturated Liquid Water",
            "color": "#282828"
        }
    )

chart.save('prandtl.html')

This Page