Question 6.76: Write and test computer subroutines or procedures that will ...

Write and test computer subroutines or procedures that will implement
(a) Table 6–2, returning a, b, C, and \bar{k}_{a} .
(b) Equation (6–20) using Table 6–4, returning k_{b} .
(c) Table 6–11, returning α, β, C, and \bar{k}_{c} .
(d) Equations (6–27) and (6–75), returning \bar{k}_{d} \text { and } C_{k d} .

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Eq. (6-19): k_{a}=a S_{u t}^{b}

Eq. (6-20): k_{b}= \begin{cases}(d / 0.3)^{-0.107}=0.879 d^{-0.107} & 0.11 \leq d \leq 2 \text { in } \\ 0.91 d^{-0.157} & 2<d \leq 10 \text { in } \\ (d / 7.62)^{-0.107}=1.24 d^{-0.107} & 2.79 \leq d \leq 51 mm \\ 1.51 d^{-0.157} & 51<d \leq 254 mm \end{cases}

Eq. (6-27): \begin{aligned}k_{d}=& 0.975+0.432\left(10^{-3}\right) T_{F}-0.115\left(10^{-5}\right) T_{F}^{2} \\&+0.104\left(10^{-8}\right) T_{F}^{3}-0.595\left(10^{-12}\right) T_{F}^{4}\end{aligned}

where 70 \leq T_{F} \leq 1000^{\circ} F.

Eq. (6-75): k _{d}=\bar{k}_{d} L N (1,0.11)

where  \bar{k}_{d}=k_{d} given by Eq. (6–27),