Regenerated Noise - Dampers

**Strutt|Mechanical Services|Regenerated Noise|Damper** inserts sound power levels into the active row of the worksheet.

Regenerated noise can be calculated using the Woods, SRL or CIBSE methods.

**Woods** calculates regenerated noise from dampers using:

- `L_W = K + 10log_10 S + 55log_10 V - 45`

Where:

`L_W` is the total sound power level generated by the actual fitting, dB

`K` is constant, datum power level of the fitting (given below), dB

`S` is the actual duct area, m

`V` is the actual velocity, m/s

Values of K (from Table 5.2 Woods):

Damper | K, dB |

Open | 44 |

15º closed | 53 |

45º closed | 65 |

Octave band sound power levels are calculated by applying the following corrections (Table 5.2, Woods):

63 Hz | 125 Hz | 250 Hz | 500 Hz | 1 kHz | 2 kHz | 4 kHz | 8 kHz |

-6 | -6 | -7 | -7 | -8 | -10 | -17 | -29 |

**SRL** calculates regenerated noise from dampers using:

- `L_W(f_0) = K_D - 18 + 10log_10(f_0) + 50log_10(U_C) + 10log_10(S) +10log_10(D)`
- For multi-blade dampers: `BF = (C^(1//2)-1)/(C-1)` if `C != 1`, or `BF = 0.5` if `C = 1`
- For single-blade dampers: `BF = (C^(1//2)-1)/(C-1)` if `C < 4`, or `BF = 0.68 C^(-0.15) - 0.22` if `C > 4`

where,

`C = (1.67 Delta p)/(Q/S)^2`

`Q` is the volume flow rate, m^{3}/s

`p` is the pressure loss, Pa

`S` is the cross sectional area of the duct, m^{2}

`D` is the duct height normal to the damper axis, m

`n` is the number of turning vanes

`K_D` is the characteristic spectrum which is given by:

- `K_D = 5.0 - 10.7log_10(St)`, for `St < 25`

`K_D = 40.2 - 35.9log_10(St)`, for `St > 25`

`St` is the Strouhal number, given by:

`St = (f_0 D_i)/U_i`

where:

`D_i` is the characteristic duct dimension

`U_i` is the flow velocity of duct element `i`.

Where:

`f_0` is the octave band centre frequency, Hz

`U_C` is the flow velocity in the constricted part of the field between the blades determined using:

`U_C = Q/(S*BF)`, where `BF` is the Blockage Factor given by:

The simple **CIBSE** method calculates the regenerated noise using:

`L_W=K_t+10log(S)+60log(V)+C+Delta L_("turb")`

where:

`K_t` is a constant depending on the duct fitting type. `K_t=-5` for a butterfly damper

`S` is the duct cross-sectional area (mē)

`V` is the duct velocity (m/s)

`C` is a spectrum correction term (from Table 5.1 CIBSE Guide B)

`DeltaL_(turb)` is a user-inputted correction (dB) increasing the sound power levels to account for turbulent inflow onto the fittings.

Note there is a more-detailed CIBSE method based on the pressure loss factor etc, the Regenerated Noise from Duct Fittings (Detailed) calculation, which can be used if the pressure drop and loss factor of the fitting are known

References:

- Woods Practical Guide to Noise Control, p101.
- SRL Noise Control in Building Services, pp244-250
- CIBSE Guide B Section 5.5.1

Comments or suggestions to strutt@arup.com