Empirical correlations of circular tubes

Description

When defining the fluid flow conditions in the circular tube, calculate the Nusselt number ( $Nu$ ) and the friction factor ( $f$ ).

Number	Condition
1	Laminar, uniform Ts
2	Laminar, $q_s^{"}$ uniform
3	Laminar, combined input, uniform Ts, $Pr \geq 5$ , properties evaluated at Tm
4	Laminar, combined input, uniform $q_s^{"}$ , $Gz_D = \frac{Re_DPr}{L/D} \geq 100$ , properties evaluated at Tm
5	Turbulent, $L/D \geq 10$ , $0.6 \leq Pr \leq 160$ , $Re_D \geq 10^4$ , $T_S > T_M$ , properties evaluated at Tm
6	Turbulent, $L/D \geq 10$ , $0.6 \leq Pr \leq 160$ , $Re_D \geq 10^4$ , $T_S < T_M$ , properties evaluated at Tm
7	Turbulent, $L/D \geq 10$ , $0.6 \leq Pr \leq 16700$ , $Re_D \geq 10^4$ , properties evaluated at Tm
8	Turbulent, $L/D \geq 10$ , $0.6 \leq Pr \leq 2000$ , $3000 \leq Re_D \leq 5\cdot 10^6$ , properties evaluated at Tm

All correlations are evaluated with the fully developed velocity profile, with the exception of the input combines