Empirical correlations of circular tubes

Input data

Corresponding number from table F

Corresponding number from Nu table

Reynolds

Prandtl

Output data

f

Gz

Nusselt

Description

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

Table F

Number
Condition
1
Laminate
2
Turbulent, $Re_D \leq 2\cdot 10^4$
3
Turbulent, $Re_D \geq 2\cdot 10^4$
4
Turbulent, $3000 \leq Re_D \leq 5\cdot 10^6$

Nusselt Table

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

Observation

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

References

  • WELTY, James R.; RORRER, Gregory L.; FOSTER, David G. Fundamentos de Transferência de Momento, de Calor e de Massa, 6ª edição. Grupo GEN, 2017.