Chapter 8, Problem 8.110P

The onset of turbulence in a gas flowing within a circular tube occurs at ${\mathrm{Re}}_{D,c}\approx 2300$ , while a transition from incompressible w compressible flow occurs at a critical Mach number of $M_{ac}\approx 0.3$ . Determine the critical tube diameter $D_c$ , below which incompressible turbulent flow and heat transfer cannot exist for (i) air. (ii) ${\text{CO}}_{\text{2}}$ (iii) He. Evaluate properties at atmospheric pressure and a temperature of $\text{T}=\text{3}00\text{ K}$ .