Use the values of viscosity of air given in Table B. 4 at temperatures of (0,20,40,60,80), and

Question:

Use the values of viscosity of air given in Table B. 4 at temperatures of \(0,20,40,60,80\), and \(100{ }^{\circ} \mathrm{C}\) to determine the constants \(C\) and \(S\) which appear in the Sutherland equation. Compare your results with the values given in Problem 1.67. Rewrite the equation in the form

\[ \frac{T^{3 / 2}}{\mu}=\left(\frac{1}{C}\right) T+\frac{S}{C} \]

and plot \(T^{3 / 2} / \mu\) versus \(T\). From the slope and intercept of this curve, \(C\) and \(S\) can be obtained.)

Table B. 4

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Problem 1.67

For air at standard atmospheric pressure the values of the constants that appear in the Sutherland equation are \(C=1.458 \times 10^{-6} \mathrm{~kg} /\left(\mathrm{m} \cdot \mathrm{s} \cdot \mathrm{K}^{1 / 2}\right)\) and \(S=110.4 \mathrm{~K}\). Use these values to predict the viscosity of air at \(10^{\circ} \mathrm{C}\) and \(90^{\circ} \mathrm{C}\) and compare with values given in Table B. 4 in Appendix B.