The variation with temperature of the viscosity of air is represented well by the empirical Sutherland correlation

Question:

\[\mu=\frac{b T^{1 / 2}}{1+S / T}\]

Best-fit values of \(b\) and \(S\) are given in Appendix A. Develop an equation in SI units for kinematic viscosity versus temperature for air at atmospheric pressure. Assume ideal gas behavior. Check by using the equation to compute the kinematic viscosity of air at \(0^{\circ} \mathrm{C}\) and at \(100^{\circ} \mathrm{C}\) and comparing to the data in Appendix A (Table A.10); plot the kinematic viscosity for a temperature range of \(0^{\circ} \mathrm{C}\) to \(100^{\circ} \mathrm{C}\), using the equation and the data in Table A.10.

Data From Appendix A Table A.10

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