Energy Efficiency, Vibrations and Noise of Fan: History
Please note this is an old version of this entry, which may differ significantly from the current revision.

Fans as industrial devices are among the most significant single recipients of driving energy. Therefore, they represent an important area of energy savings to reduce CO2 emissions. The ubiquity of fans and their operation under conditions different from the optimum provides an opportunity for more significant global reductions in the energy used to drive them. The second important aspect, besides energy efficiency, related to the operation of fans is the noise they generate.

  • centrifugal fans
  • fan characteristics
  • energy efficiency
  • noise

1. Energy Efficiency—Fan Operation

Fans are among the most significant single energy consumers and therefore represent an essential energy-saving area to reduce CO2 emissions. In the USA, fans operating in the industrial sector consume about 11% of the electricity of all industrial motor drives [1][2]. In Sweden, fans consume about 8% and in Great Britain, more than 9% of the energy is produced [3]. Figure 1 shows an overview of where energy losses occur in the fan. Aerodynamic and mechanical losses in the flow system (and outside it), power transmission, and control can be observed [4].
Figure 1. Places where energy losses occur in the fan.
In order to overcome the losses, the fan generates an appropriate increase in the pressure of the total medium thanks to the mechanical energy supplied to the fan from the drive motor. Electric motors are used almost exclusively to accomplish this task.
This part of the energy transferred from the engine to the gas to realize its flow through the installation is called useful power, as opposed to the power lost in the drive and flow system of the fan.
The exact value of the useful power is calculated from the product of efficiency and total accumulation, and the correction factor ƒ was taken into account for accumulations exceeding 3.6 kPa.
N u = V ˙ s Δ p c ƒ
The drive unit supplies Power Ni to the fan’s flow system.
In the flow system, there are power losses caused by the friction of the medium against the walls of the flow channels, as well as the mutual friction of gas molecules against each other in the areas of vortices for both the impeller and the housing. This loss is called flow power loss and means Np.
In the flow system, a third power loss is distinguished, caused by the friction of the rotating outer walls of the rotor against the gas in the housing. The power loss due to the friction of the rotor discs is called the wading loss and is denoted by Nb. The carrier disc has a significant impact on the amount of wading losses.
On the other hand, Nv as power loss consists of the pressure drop in the impeller inlet chamber multiplied by the leakage flux.
All these three types of losses and the useful power added together are equal to the fan’s internal power [5]
N u + N p + N v + N b = N i
There are energy losses in the rotor and housing due to acceleration, deceleration, change of direction, friction, detachment of streams from the walls, and mixing of streams.
In the rotor, the following types of losses are distinguished:
-
Inlet on the funnel;
-
Change of flow direction from axial to radial;
-
Non-tangential flow to the rim;
-
Friction in the interscapular canal.
There are losses in the fan case:
-
Diffusivity of the case;
-
Sudden expansion of the flow;
-
Stream mixing;
-
Friction.
In the Sankey diagram, power flows from the left side to the right. Each component rejects a portion of the input energy due to inefficiencies in the following steps. The energy efficiency of each component is the ratio of the output power to the input power.
The mechanical energy on the fan shaft is used to generate power to the air stream at the outlet. Some input energy is lost due to aerodynamic losses, mechanical losses, and acoustic losses. The ratio of air power to fan shaft power defines the total efficiency of the fan.
Increasing the operational efficiency of rotating machines, including fans, should be a priority goal of international organizations influencing the creation of new market standards. According to the study presented by the International Energy Agency, it can be concluded that the total energy efficiency of rotating machines is a key item determining the possibilities of reducing energy consumption on a global scale [6]. An important parameter linked to the fan’s energy efficiency is the rotational speed, usually measured in revolutions per minute (rpm). The rotational speed has a significant impact on the performance characteristics of the fan. Efficiency changes in proportion to the change in rotational speed, pressure is the square of the change, and power demand is the third power. The rotational speed should be considered together with other problems, such as ambient noise, air temperature, fan load variation, and the mechanical strength of the fan. For example, centrifugal fans with forward curved blades require a relatively accurate estimate of the airflow in the installation and pressure requirements, as the wrong speed can result in a reduced capacity or excessive air flow and pressure variations.
The air stream’s temperature has a significant influence. For high temperatures, all materials show lower strength. Since the forces acting on blades, shafts, and bearings are proportional to the square of the rotational speed, high temperatures in the fans result in a low rotational speed. To a large extent, it is the temperature range that determines the type of fan and the selection of the appropriate material. Many materials lose their mechanical strength in high-temperature installations. The stresses increase with increasing fan speed; therefore, the lowest rotational speed is required for systems with high temperatures. Centrifugal fans are built for lower temperatures of the medium.
Table 1 shows the various analyses described in the literature, actions taken, and design measures increasing the efficiency of fans.
Table 1. List of measures taken to improve fan energy efficiency.
Publication Research Area Research Results
[7]
  • This study looked at the efficiency improvement of axial fans in many areas, including outdoor air conditioning units.
  • The authors analyzed the flow structure occurring at the vane’s tip due to the winglet’s position.
  • The fan used in the experiment is an axial flow fan with a diameter of 370 mm. The fan was connected to the chamber in the same way as it was installed in the outdoor unit of the actual air conditioner.
  • The authors confirmed the existence of an optimal apical clearance. As a result, this translates into the maximum efficiency of the axial flow fan. The assumption is that this is for a fan with a casing height equal to 30% of the axial chord length.
  • When the fan was partially shielded, winglets on the axial flow fan increased the tip leakage flow rate by 66%. However, it allowed increasing the efficiency by only 0.7%. This is because (the authors suppose) the effect of the tip leakage vortex on the mainstream on the suction side of the blade has been reduced by the winglets.
  • The last case considered is when the cover completely covers the fan. This arrangement increases the tip leak flow rate proportionately to the tip clearance. The highest efficiency can be obtained when the tip clearance is 0.
[8]
  • The article considers the influence of the axial gap between the inlet nozzle and the rotor on the performance and the flow pattern.
  • The article presents numerical simulations with various models of turbulence. A unique geometry and mesh pattern were made to determine the effect of this axial gap on the flow pattern as well as very important performance and efficiency.
  • The authors obtained results showing a high agreement between numerical simulations and experimental data.
  • The numerical simulations showed that the fan with the inlet diameter of 19 cm, which practically coincided with the internal diameter of the rotor, has the highest efficiency of almost 44% on all axial gaps (compared to the other cases discussed in the study).
[9]
  • This article examines a slow speed centrifugal fan. The fan was installed inside a rectangular duct. The research was done through measurements and CFD.
  • In the experiment, a rectangular, cuboid-shaped body (serving as a “pressure recovery unit” (PRU)) was mounted behind the (slow-running) centrifugal fan. With it, a significant increase in efficiency can be achieved. This is because it covers most of the space next to the wheel fan, leaving only a small air duct near the duct walls.
  • Through the introduction of PRU, energy savings were confirmed in experimental studies and numerical calculations.
[10]
  • The article presents different strategies and ways to increase energy efficiency, parts, and intelligent improvement techniques.
  • The article also presents new innovative work on the ventilation system and Variable Speed Drives (VSD). This solution allows for a real reduction in energy consumption by the ventilation system.
  • It has been shown that improvements in the efficiency of the ventilation system can be achieved with the conventional control technique of Variable Speed Drives.
  • During the correct use of components and the motor in the ventilation system, you can save 20% to 30% of energy.
  • VSD also offers an energy-saving advantage compared to other conventional control techniques in a parallel fan system
[11]
  • The article deals with a fundamental problem related to ventilation systems in mines and underground facilities.
  • In the case of mines, ventilation systems during operation can account for a significant part of energy costs (from 25 to 40%) and also for 40–50% of energy consumption. The author of this article has found that 40–80% of the energy consumed by fans is used to overcome the resistance of fan components.
  • The article discusses how to approach the design of machinery and equipment to increase fan installations’ performance and efficiency.
[12]
  • In this paper, the characteristics of the recirculating bubble and its full impact on the efficiency of the compressor were investigated. The analysis was carried out using a well-proven three-dimensional numerical simulation.
  • The conducted tests show that the bubble initiation was carried out within the rotor channel. Decreasing flow velocity is gradually accompanied by gradual stretches in stream and spanwise directions.
  • At the same time, the adverse effects of preheating and pre-swirl remained relatively low.
  • The research shows that in the early stages, the recirculating bubble played a positive role in suppressing the incidence loss, the blade loading loss, and the tip clearance loss, leading to higher compressor efficiency.
[13]
  • The article shows the Borda-Carnot sudden expansion study. It is often used in ventilation systems instead of diffusers when it is necessary to increase the cross section.
  • In the beginning, the Borda-Carnot loss for homogeneous and fully developed inlet velocity profiles was experimentally investigated.
  • It has been shown that the classical loss formula derived for a uniform inlet underestimates the losses. Thus, each sudden expansion can cause a 2–3% error. This is the case in the calculation of losses in ventilation systems.
  • The authors presented a methodology for calculating Borda-Carnot losses in ventilation systems. This method takes into account the loss formula for a fully developed inlet.
[14]
  • This experimental study investigated turbulence intensity, pressure recovery ratio, velocity distribution, and flow separation. The study was carried out on a 1:13 model of a diffuser with an octagonal inlet and a square outlet. This type of diffuser can be used in a vertical wind tunnel designed for skydiving.
  • The experiments were carried out both in blowing flow modes and suction.
  • The results obtained from the conducted tests do not indicate a significant pressure drop and separation in the tested diffuser.
  • The authors noted that using semi-empirical correlations predict the pressure loss in a model diffuser correctly. In order to perform the test correctly, it is necessary to use the large-angle diffuser plane of 10.66◦ instead of the equivalent cone angle in these correlations.
[15]
  • The article presents the use of parametric analysis to improve the performance of a centrifugal fan.
  • Using computational fluid dynamics (CFD), the authors conducted a simulation on a specially prepared solid model (the aim was to analyze fluid flow).
  • A simulation was carried out for various data (the number of rotor blades was changed) while maintaining the parameters corresponding to the design conditions. Simulations were performed for Z = 8, 10, 12, 14.
  • The results of the tests showed that an efficiency of 50.82% is achieved at a total pressure of 1323.07 Pa (at the fan outlet).
  • Simulations for Z = 14 (number of blades) showed an increase in total pressure by 21.77%. For the same conditions, the efficiency increased by 5.74% compared to the design state.
[16]
  • This study considered how modal analysis might inform DFAN drive patterns.
  • The result of the work was the creation of a FEM model of a simplified cylindrical DFAN cavity.
Today’s fans are subject to legal requirements regarding energy efficiency. It is important that they consume as little energy as possible, and this goal is subject to global, EU, and national requirements. In the above studies, the authors use various methods and focus on selected fan elements to optimize the flow, correcting the turbulence that arises. This, in turn, allows for changes to the seals, improvement of clearances, and modifications in the construction of the fans. Selected works also dealt with issues related to using artificial intelligence to improve work efficiency (not only fans but also entire ventilation systems).

2. Vibrations and Noise

In industrial ventilation processes, vibrations and generated noise can be a serious problem. The noise sources are vibrations of the fan impeller, body, piping, foundation, drive motor, and many other elements. High acoustic level causes fatigue in employees. In installations where fans operate, noise is produced by mechanical, electromagnetic, and aerodynamic phenomena [17].
The noise generated by the fan depends on the type of fan, air flow speed, and pressure. The increased noise level of a given type of fan is often the result of inefficient fan operation. The sources of vibrations and noise in the fan itself are, among others:
  • Design, thermal imbalance (heating unevenness, flow unevenness), operational imbalance (deposition of particles of the working medium, rotor erosion);
  • Bending, e.g., due to high permanent forces and material deflection;
  • Lost elements, e.g., a spatula;
  • Rubbing against body elements as a result of high vibrations, permanent bending of the rotor or axial displacement of the rotor as a whole;
  • Blade resonance leads to resonant vibrations and, consequently, fatigue of the material.
The motors produce considerable noise during operation. However, fan impellers are louder, and the difference between fan and motor sound levels often exceeds 6 dB, so they are inaudible. There are tables [5] presenting the noise level of motors of different sizes for different rotational speeds.
Non-stationary gas flow from the nozzle is a typical monopole sound source. The sound power of such a source is proportional to the fourth power of the gas velocity c4 and its density ρ, the square of the geometric dimension of the stream l2, and is inversely proportional to the speed of sound ad [5].
N ~ ρ   c 4 a d   l 2
Based on the dimensional analysis, the sound intensity can be represented by a formula [5]:
I = ρ c 3 = ρ 2 c 4 ρ c = p 2 ¯ ρ c
where p¯ is the effective sound pressure value RMS (Roor Meane Square).
Real noise, modeled by an acoustic dipole, is produced by stationary and non-stationary forces existing in the source. In the case of fans, the forces are generated when the impeller blades and some casing elements flow around the gas stream with any time-dependent velocity distribution or with a time-independent (stationary) profile.
In the balance of energy losses of the fan, the acoustic power may be omitted. However, the noise associated with the spread of this type of energy is very annoying.
The air particles in contact with the fan surfaces are introduced into vibrations, which, due to the elasticity of the medium, are transmitted to the neighboring particles. The energy transferred to create the vibrating motion of the surrounding particles is the radiated energy.
The sound power radiated to the space around the fan depends in a first approximation on the power of the motor driving the fan, which in turn depends on the efficiency and pressure rise. The sound power level can be calculated with a high approximation from the formula [5]:
L N [ dB ] = 70 + 10 l g N s   ( k W ) + 10 l g Δ p c
where: N s electric   motor   rated   power ,   Δ p c fan s   damming   [ Pa ]
The vibration of fans can also generate noise. The mechanical vibrations of the fan or its components arise as a result of:
-
Unbalance of rotating masses;
-
Non-axial engagement of clutch parts;
-
Work near resonance;
-
Aerodynamic flow disturbance;
-
Damage to bearings and incorrect clearances;
-
Electromagnetic interference affecting the engine;
-
Interference from external vibrations.
Since the fan can operate at any point of its characteristic depending on the installation resistance, the actual operating point in the installation is defined as the operating point. The specific sound power level varies with the flow rate. The lowest noise generation of the fan roughly corresponds to the optimal performance. Particular deviations of the volumetric flow—according to Figure 2—show the effect of the shift of the operating point on the level of generated noise [18]. For example, an increase in volume flow of about 40% from the nominal value results in an increase in the specific sound power level of more than 4 dB.
Figure 2. Characteristics of an example fan, where: efficiency—blue line, specific sound power level difference at nominal operating point—green line, and change in specific sound power level difference as a function of change in volume flow—red line.
If a high fan noise level cannot be avoided, measures to reduce the acoustic energy must be used. To reduce noise, engineers use various methods, e.g., duct insulation, rubber or a suitable spring insulator or mounting the fan on a soft base. Another way is to install a sound-absorbing damping material or baffles to absorb vibrations. Active noise control methods are also a very important area of noise reduction.
Table 2 presents the collected literature on the methods of reducing noise generated by fans.
Table 2. Publications and activities related to the reduction of noise generated by fans.
The main source of sound in a ventilation system is the fan. The problem of noise, or rather the noise produced by the fan, is very important, as confirmed by the number of scientific papers indicated above. The noise generated by the operation of the fan can be looked at from an energy point of view—it is closely linked to the efficiency and losses occurring in the system, and from an “aesthetic” point of view—it is not pleasant and affects people who are not far away. The noise generated by the fan depends on many factors. The main one is the design of the fan itself, in which attention should be paid to the number of blades and their shape. The next factors are efficiency and pressure, airspeed, the size and shape of the housing and its rigidity. Noise caused by aerodynamic and mechanical factors can be separated. Aerodynamic noise is directly related to the flow of air through the blade system and the accompanying changes in pressure distribution over the blade surface. Sources of mechanical noise are influenced by rotor imbalance, the incorrect operation of bearings, operation of the electric motor, and possible mechanical vibration of the components due to inadequate, that is, insufficient rigidity of the structure. 

This entry is adapted from the peer-reviewed paper 10.3390/en16031042

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