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Mehrdad Khamooshi, Hana Salati, Fuat Egelioglu, Ali Hooshyar Faghiri, Judy Tarabishi, Saeed Babadi, "A Review of Solar Photovoltaic Concentrators", International Journal of Photoenergy, vol. 2014, Article ID 958521, 17 pages, 2014. https://doi.org/10.1155/2014/958521
A Review of Solar Photovoltaic Concentrators
Throughout the recent centuries, the limits of using energy resources due to the cost and environmental issues became one of the scientists’ concerns. Because of the huge amount of energy received by the Earth from the sun, the application of photovoltaic solar cells has become popular in the world. The photovoltaic (PV) efficiency can be increased by several factors; concentrating photovoltaic (CPV) system is one of the important tools for efficiency improvement and enables for a reduction in the cell area requirement. The limits of the PV area can reduce the amount of absorbing irradiation; CPV systems can concentrate a large amount of sunlight into a smaller one by applying lenses or curved and flat mirrors. However, the additional costs on concentrating optics and cooling systems made CPV less common than nonconcentrated photovoltaic. This paper reviews the different types of PV concentrators, their performance with advantages and disadvantages, concentration ratio, acceptance angle, brief comparison between their efficiencies, and appropriate cooling system.
As the fossil fuels are reducing gradually in our planet, solar photovoltaic systems and technology are becoming a promising option for electricity generation. The amount of solar power output is about 166 PW out of which 85 PW reaches the Earth. This shows not only that solar power is well over 500 times our current world 15 TW power consumption, but also that all other sources are less than 1% of solar power output [1–3]. The radiation, that is, not reflected or scattered and reaches the surface directly is called direct or beam radiation and the scattered radiation reaching the ground is called diffuse radiation . Basically, the role of concentration photovoltaic systems is to collect both beam and scattered irradiation, which do not reach the photovoltaic cells. Besides photovoltaic, the concentrator also has other applications such as thermal power applications [5–7], lighting systems [8–10], pumping of solar lasers [11–15], hydrogen production [16–18], and other applications. Although Parida et al.  performed a fundamental review study on the solar photovoltaic technologies and McConnell et al.  reviewed market aspects of solar concentrators, there is no complete review on concentrated photovoltaic technologies. The aim of this study is therefore to review different CPV technologies and their other characteristics such as performance, advantages, disadvantages, and appropriate cooling system.
2. Solar Concentrators
In a simple description, the idea of CPV is using optical devices with cheap and suitable technology to concentrate the light on small and highly efficient photovoltaic solar cells. Hence, the cost will be reduced by means of replacing the cell surface with cheaper optical devices . There are some advantages and disadvantages solar concentrator systems have over flat plate systems for large installations. Table 1 obtained from the  shows some advantages of CPV.
Solar concentrators are classified by their optical characteristics such as the concentration factor, distribution of illumination, focal shape, and optical standard. Concentration factor , which is also known as the number of suns, is the ratio of the mean radiant flux density on a receiver area compared to the average normal global irradiance : The classification based on the concentration factor includes the following conditions :(i)low concentration (LCPV): (1–40),(ii)medium concentration (MCPV): (40–300),(iii)high concentration (HCPV): (300–2000).Also the efficiencies of different PV cells can be obtained from the following : where is efficiency, is the ratio of the optimal electric power delivered by the PV cell, is the area of the PV cell exposed to sunlight, and solar irradiance received by the PV is .
Higher tracker tolerances, passive heat sinks, lower cost optics, reduced manufacturing costs, and reduced installation precision made LCPV more simple compared to HCPV . The experimental findings by Butler et al.  show that LCPV has the potential to harvest more energy when using standard Si solar cells in a basic concentration configuration as used in this study. However, Pérez-Higueras et al.  stated that high concentrator photovoltaic technology is still in a deployment stage, but the cells and modules efficiency data offered by their manufacturing companies, as well as the measuring experiments carried out by several research centers, forecast an attractive short-term increment in their efficiency, which means that these systems could be profitable in economical and energy terms in a short period of time. This fact represents a potential alternative to flat module photovoltaic systems in the energy generation market.
They are also classified in two other optical categories: (1) imaging optical concentrators, which means the image formed on the receiver by the optical concentrators  and (2) nonimaging optical concentrators: the receiver is not concerned with forming an image on it by optical concentrators .
2.1. Overview on Different Models
During past decades, a lot of developments have been made on designing different models of solar concentrators. Experts analyzed these models through these decades and there have been some changes in their design. This part presents different models of concentrators.
2.1.1. Fresnel Lenses
Fresnel lenses recently have been one of the best choices due to their noble properties such as small volume, light weight, as well as mass production with low cost . In early Fresnel lenses, glass was replaced by polymethylmethacrylate (PMMA), discovered by Augustin Jean Fresnel, with optical characteristics almost the same as glass including good transmissivity and resistance to sunlight; it is the suitable material choice for the manufacturing of Fresnel lenses [31, 32]. A Fresnel lens is a flat optical component where the bulk material is eliminated because the surface is made up of many small concentric grooves. These grooves individually act as prisms since each groove is approximated by a flat surface that reflects the curvature at that position of the conventional lens . Figure 1 shows the schematic view of conventional lens and Fresnel lens.
The concentration of flux is represented as follows : where represents the maximum concentration of optical flux (unitless); is the real component of the refractive index (unitless); and (acceptance angle along the plane of the azimuth) and (the acceptance angle of the altitude) are the acceptance angles.
Briefly, concentrated solar energy applications using Fresnel lens systems are in following categories: thermal application, thermal heating, solar cooking [5, 35, 36], photocatalytic , solar building , solar-pumped laser [39–41], lighting [42, 43], and surface modification of metallic materials [33, 44–46].
There are two main types of Fresnel lenses which are circular and linear. For the circular category, Nakata et al.  described a 300 W polar axis tracking concentrator with 36 circular Fresnel lenses (40 × 40) and designed cells to obtain the uniform distribution. As a result, the optical efficiency of the lens is 83% and the output power becomes about 50% greater than that of the commercial lens, an experimental and analytical method used by Harmon  to determine the efficiency and intensity variations of a circular Fresnel lens as a solar concentrator. Using a photovoltaic scanning technique, the experimental part and simulation are constructed to model the behavior of the lens. According to the results, the lens is an inefficient concentrator with losses that begin at 20% and rise to about 80% as the focal distance decreases.
A research done by Whitfield et al.  compares Point-focus Fresnel lens, two-axis tracking, and the use of the housing as heat Sink with other models which include linear Fresnel lens, solid CPC secondary’s, and two-axis tracking. Linear Fresnel lens system has the advantage of being simple and totally enclosed yet is more costly than some of the others. The point-focus Fresnel lens has the advantage of having potential for simple mass-produced optics but its serious problem is the loss of efficiency at higher concentration. Optical properties of flat linear Fresnel lenses manufactured from glass are presented by Franc et al.  and the behavior of these lenses in perpendicular and inclined beams of rays is discussed.
2.1.2. Quantum Dot Concentrator
Quantum dot concentrator (QDC) is a nontracking concentrator that includes three main parts; transparent flat sheet of glass or plastic doped with quantum dots (QDs), reflective mirrors placed on three different edges and the back surface, and a PV cell which is attached to the exit aperture. As it is shown in Figure 2 when the sun radiation hits the surface of concentrator, a part of the radiation will be refracted by a fluorescent material and absorbed by quantum dots (QDs); photons are reemitted isotropically at a lower frequency and guided to the PV cell . The size of quantum dots, which are made of nanostructures, typically varies from tens to hundreds of nanometers in size .
Research done by Mićić et al.  has shown that QDs are capable of absorbing light over an extremely broad wavelength range and the absorption spectra also depicts the spectral shift to higher energy as QD size decreases. The main advantages of QDC are the following: they are without any tracking system, they can concentrate both diffuse and direct radiations , due to the geometries of these concentrators, they have less problems of heat dissipation , and sheets are inexpensive and are suitable architectural components . Developing QDCs was restricted by the stringent requirements of the luminescent dyes such as high quantum efficiency, suitable absorption spectra and red shifts, and illumination stability [55, 56]. The problems of organic dyes can settle by replacing them with QDs which have the advantages of less degradation and high luminescence . Schüler et al.  proposed that quantum dot containing nanocomposite coatings might be an alternative for the production of planar quantum dot solar concentrators. The concentration ratios of QDCs are completely discussed by Gallagher et al.  who determined concentration ratios of different types by comparative analysis. A maximum comparative concentrating factor (MCCF) was determined at specific solar intensities using (4): where is the power maximum for the test device and is the power maximum for the reference devices.
2.1.3. Parabolic Concentrator
The solar parabolic trough collector is the most recognized technology due to its high dispatchability and low unit cost. In parabolic trough concentrators, the parabolic shaped mirror focuses sunlight on the receiver tube which is placed at the focal point of parabola . Reflectivity of the mirror, incident angle, tracking error, intercept factor, as well as absorptivity of the receiver, are the factors which can affect the performance of the parabolic trough concentrator . Additionally, Riffelmann et al.  mentioned the image quality of the mirror, slope error, and collector assembly, as the factors which the optical efficiency of a parabolic trough collector depends on.
In order to enhance the concentration efficiency of the parabolic trough, Omer and Infield  discussed the two-stage concentration of the parabolic trough collector. This design provides an efficient concentration of the incident solar radiation without any frequent tracking system. The performance of the parabolic trough collector depends on receiver design and heat loss from the receiver [60, 63–68]. The heat loss can increase by different tools; one of them is inserting porous inserts in the inner surface of the receiver.
The porous inserts increase the heat transfer rate by (1) increasing the effective fluid thermal conductivity, (2) enhancing mixing between the fluid and receiver wall, and (3) lowering thermal resistance by developing a thinner hydrodynamic boundary layer . Figure 3 shows a schematic view of a parabola.
2.1.4. Compound Parabolic Concentrator (CPC)
Compound parabolic concentrators (CPCs) are designed to efficiently collect and concentrate distant light sources with some acceptance angle. Figure 4 illustrates the configuration of CPC.
The geometrical concentration ratio and theoretical maximum possible concentration ratio of the CPC are obtainable from (6) [71, 72]: where , , and are the aperture area, receiver area, and maximum acceptance angle, respectively.
CPCs can be in both 2-dimensional and 3-dimensional configuration. Suzuki and Kobayashi’s  study on 2-D CPC is about the optimum acceptance angle of the concentrator with the declination angle of ±23.5 on the celestial hemisphere for direct radiation and uniform irradiance for diffuse radiation. The results indicate that the optimum half-acceptance angle is 26 degrees irrespective of the change in the diffuse radiation fraction. It was also found that almost all over the Earth, a common CPC is an optimum application for many solar collecting systems.
Senthilkumar et al.  performed substantial research work in order to improve the performance of the two-dimensional compound parabolic concentrator (2D CPC). They found out that the three-dimensional compound parabolic concentrator (3D CPC) is more efficient than the 2D CPC because of the higher concentration ratio. Yehezkel et al.  analyzed the losses due to reflection properties and calculated the effect of these losses on concentration ratio. They estimated reflection losses using an empirical linear model to facilitate design and system optimization by analytical methods without resorting to a ray-tracing procedure.
Khalifa and Al-Mutawalli  did an experimental study on effects of two-axis sun tracking on thermal performance of CPC in two different modes; in the first, a batch feeding was used where no flow through the collector was allowed whereas in the second, different steady water flow rates were used. The results led us to the conclusion that the energy gain of a CPC collector can be increased by using two-axis tracking systems. The best improvement was achieved when the flow rate was in the range of 25 to 45 kg/hr.
Mallick et al.  designed a novel nonimaging asymmetric compound parabolic photovoltaic concentrator (ACPPVC) with different numbers of PV strings connected in series experimentally characterized under outdoor conditions both with and without concentrators which indicated that the use of an ACPPVC increased the maximum power point by 62% when compared to a similar nonconcentrating PV panel.
2.1.5. Dielectric Totally Internally Reflecting Concentrator (DTIRC)
Dielectric totally internally reflecting concentrator (DTIRC) which was suggested by Ning et al.  is one of the most important nonimaging optical concentrators. In addition to the solar application, these lenses were proposed for IR detection  and optical wireless communication systems [80, 81].
The important factor for rays to reach the exit aperture is to be within the designed acceptance angle of the concentrator. When a set of rays hits the front curved surface at the acceptance angle, it is refracted and directed to the exit aperture. Ning et al.  discussed two-stage photovoltaic concentrators with Fresnel lenses as primaries and dielectric totally internally reflecting nonimaging concentrators as secondaries. The results indicated that two-stage concentrator suggests higher concentration and more uniform flux distribution on the photovoltaic cell than the point focusing Fresnel lens alone. Muhammad-Sukki et al.  described designing a dielectric totally internally reflecting concentrator (DTIRC). They used maximum concentration method (MCM) which was outlined with the simulation to optimize the design of the concentrator. The results from MATLAB simulations indicate that MCM offers a higher geometrical concentration gain, with a slight increase in the concentrator size.
The advantages of DTIRC over compound parabolic concentrator are higher efficiency, higher concentration ratio, flux tailoring, and work without any needs of cooling features. However, DTIRC itself cannot efficiently pass all of the solar energy that it accepts into a lower index media . Muhammad-Sukki et al.  present a study about a mirror symmetrical dielectric totally internally reflecting concentrator (MSDTIRC) which is a new type of DTIRC. They presented a method for calculating concentration gain of the mentioned system.
2.1.6. Hyperboloid Concentrator
Figure 6 shows two dimensional hyperboloid concentrators. Incident rays on the aperture enter the hyperboloid concentrator and either reach the receiver or reflect back out of the concentrator . This kind of concentrator is also called the elliptical hyperboloid concentrator. A 3-D figure of an elliptical hyperboloid concentrator is showed in Figure 7.
The advantage of this concentrator is that it is very compact, since only a truncated version of the concentrator needs to be used. Because of this factor, it is mainly used as a secondary concentrator . Garcia-Botella et al.  found out that the one-sheet hyperbolic concentrator is an ideal 3D asymmetric concentrator as its shape does not disturb the flow lines of an elliptical disk. It also does not need a tracking system where two different acceptance angles, transversal and longitudinal direction, are needed.
Sellami et al.  designed a 3-D concentrator and coined the Square elliptical hyperboloid (SEH) to be integrated in either glazing windows or facades for photovoltaic application. This configuration can collect both diffuse and direct beam. They also found that optical efficiency depends on the size of the SHE.
It has been shown that the 3-D solar concentrator acquired from the hyperboloid has the ability of concentrating all the entering rays  such as the trumpet concentrator, which is composed of a revolution of hyperbolic type and was considered as an ideal concentrator .
Chen et al.  investigated a solar concentrator containing primary paraboloidal and secondary hyperboloidal mirrors by using the ray tracing method to obtain higher concentration ratio. The results indicated that such a method can increase the concentration of solar flux twice when concentration tracking errors exist.
Saleh Ali et al.  presented a study about designing a static 3-D solar elliptical hyperboloid concentrator (EHC). They proposed some equation for designing hyperboloid concentrators , based on Figure 8.
The design of hyperboloid concentrators is based on the following equations:
2.1.7. RR, XX, XR, RX, and RXI
These configurations represent the new concentrators which achieved the theoretical maximum acceptance angle concentration and it was concluded that they may be useful for high concentration cells .
In these designs “R” denotes refraction, “X” denotes reflection, and “I” denotes internal reflection . The design methods of all these concentrators are basically similar to each other. RXI designs can almost describe other models as shown in Figure 9; rays that impinge on the concentrator aperture, within the acceptance angle, are directed to the receiver by means of one refraction, one reflection, and one total internal reflection .
Minano et al.  investigated the performance of RX and the results indicated that when the angular spread of the input bundle is small, the performance of the rotational RX is acceptable. An analysis of the RX concentrator performed by Benitez and Minano  stated that when the field of view is small (less than 6 degrees full angle), even for concentrations up to 95% of the theoretical maximum, its imaging performance is similar (in MTF terms) to that of normal incidence of an planoconvex spherical lens with optimum defocusing. This image capability is suitable for receivers. Minano et al.  explored a research for RX and RXI concentrators. Their results had shown that when the acceptance angle of the concentrator is less than 5 degrees (for a source at infinity), its performance in 3D is very good. Also, the RX shown in their analysis had been designed for a finite source and the RXI for a source at infinity.
3. Tables of Properties
Table 3 shows the advantages and disadvantages of the different types of solar concentrators.
Swanson  performed a review study on the characteristics of concentrated photovoltaic systems which approached the economical aspects of the systems. Table 5 summarized Swanson’s study which represents different CPV with their characteristics.
|The costs given in the table are for cells, optical systems, mountings, and trackers only, including construction costs; balance of system costs are omitted as they are similar for all types of collector. The cost in $/Wp is for collectors at operating temperature and, for concentrators, is based on direct beam irradiance of 850 W/m2; the cost for the flat plate is based on a total irradiance of 1000 W/m2 .|
4. Appropriate Cooling Systems
Cooling of photovoltaic cells under concentrated illumination is one of the major problems during designing them. The photovoltaic cell efficiency decreases with increasing temperature or due to nonuniform temperature [100–109]. Also, cell degradation will occur if the temperature exceeds certain limits .
The thermal properties of the coolant are another important factor for choosing the right cooling system. Thermal properties of air make it less efficient compared to water which results in more parasitic power . Also, the coolant or working fluid should be compatible, which means that it should not attack or corrode the envelope or wick and there is no chemical reaction between the working fluid and the envelope or wick structure that liberates noncondensable gas (NCG) .
Heat pipes are popular and interesting technology with the aim of cooling the PV modules especially under concentration. A heat pipe is a vacuum tight device consisting of a working fluid and a wick structure . The working fluid transfers the additional and the rejected heat by condensation processes. Heat pipes are usually made of aluminum or copper; Table 7 shows the compatible working fluid for copper and aluminum based on refs. [111–113].
Akbarzadeh and Wadowski  made reports on a parabola-trough that uses heat pipes for cooling. Each cell is mounted vertically on the end of a thermosyphon which is made of a flattened copper pipe with a finned condenser area. The cell temperature does not go beyond 46°C on sunny days with the concentration ratio of 20 suns; the reports show that the temperature will pass 84°C without fluid in the cooling system.
Horne presents a cooling system for a paraboloidal dish which focuses the light onto cells . Water is sent to the receiver by a central pipe. It then flows behind the cells. By applying this method, not only does the water cool the cells, but it also acts as a filter by absorbing a significant amount of UV radiation that would otherwise reach the cells. Russell patented a heat pipe cooling system for linear Fresnel lenses in which each of them focuses the light onto a string of cells placed along the length of a heat pipe of circular cross-section; the panel is formed by several pipes mounted next to each other  (Figure 10).
Thermal energy is extracted from the heat pipe by an internal coolant circuit where inlet and outlet are on the same pipe end ensuring a uniform temperature along the pipe. Chenlo and Cid  described a linear Fresnel lens cooled by water flow through a galvanized steel pipe. The cells are soft soldered to a copper-aluminum-copper sandwich, which is in turn soldered to the rectangular pipe which presents good electrical and thermal models for uniform and nonuniform cell illumination.
Du et al.  proposed an experimental analysis of a water cooled concentrated photovoltaic system with the concentration ratio of 8.5. The water cooler was composed of an aluminum plate with two pipes which were attached at the back of the solar module. They showed that increasing the flow rate of water had a relation with increasing the efficiency of the module and CPV systems performed better with cooling systems.
Two different cooling systems were compared by Farahat  for the aim of cooling high concentration photovoltaic systems. Water cooling systems and heat pipe techniques were compared and recommended the heat pipe cooling method as the best method for HCPV.
Geng et al.  performed both numerical and experimental studies on cooling the high concentration photovoltaic by applying oscillating heat pipes as the cooling system. Their numerical study analyzed the temperature distribution under different heat flux and some other outdoor conditions. Their results demonstrated that using heat pipes was a reliable, simple, uniform, and costless cooling method. Also, oscillating heat pipes need no air fan or pump and have no power consumption which makes them suitable for HCPV systems.
Chong and Tan  discussed a study on applying an automotive radiator as the active cooling system of the dense-array concentrator photovoltaic system. They employed a computational fluid dynamic (CFD) to perform a flow and heat transfer analysis for the cooling system of the mentioned CPV. For evaluation and feasibility of the study, they set up an experimental procedure with the concentration ratio of 377 suns. They observed that by applying the cooling system when the temperature of the cell reduced from 59.4°C to 37.1°C, the efficiency successfully improved from 22.39% to 26.86%.
During the past decades, heat sinks became popular devices for cooling processes. Many researchers conducted studies about using heat sink for cooling CPV systems.
Karathanassis et al.  conducted a study about optimizing the microchannel, plate-fin heat sink suitable for the cooling of a linear parabolic trough concentrating photovoltaic/thermal (CPVT) system. Their results showed that microchannel heat sinks are ideal high heat flux dissipation as they achieve thermal resistance values as low as 0.0082 K/W. Also, their 1-D model could predict the flow and conjugate heat transfer inside a microchannel.
Do et al.  proposed a thermal resistance correlation as a design tool of a natural convective heat sink with plate-fins for concentrating photovoltaic (CPV). Different experimental investigations were also done for various heat sink geometries, input powers, and inclination angles. Their correlation could predict the effect of inclination angles and fin spacing. The optimized fin spacing was highly dependent on the inclination angle and temperature difference for specific geometry.
Edenburn did an analysis for a point focus Fresnel lens array under passive cooling system . The cooling device is made up of linear fins on all available heat sink surfaces. The passive heat sink keeps the cell temperature below 150°C even on extreme days at a concentration level of about 90 suns.
Natarajan et al.  elaborated a numerical investigation of solar temperature of concentrated PV using Fresnel lenses with a concentration ratio of 10x with and without a passive cooling system. The simulation results showed that a number of four fins of 1 mm thickness and 5 mm height were favorable for the mentioned CPV.
By applying water as working fluid, Kumar and Reddy  investigated properties of porous disc receivers by different porosities. Empirical correlations were developed to determine the Nusselt number and friction factor for the porous disc receiver. Satyanarayana et al.  developed different porous enhanced receiver configurations to increase the heat transfer rate. Drabiniok and Neyer  proposed an experimental study about special cooling systems of PB cells on the basis of a bionic method using a porous compound polymer foil. The foil was laminated directly on silicon substrates providing good thermal contact with the water cooled down by evaporation. A temperature reduction of up to 11.7°C was observed and the presented system was capable of self-regulating the water flow and the resulting cooling rate by its direct dependency on environmental conditions like temperature and air velocity.
Sun et al.  performed an experimental study about heat dissipation of linear concentrating photovoltaic by applying a direct liquid-immersion cooling method using dimethyl silicon oil. The results showed that the temperature of the cell rose from 0 to 35 increasing linearly with oil temperature. The cooling capacity of the direct liquid-immersion cooling made this method favorable, and the average cell temperature and heat transfer temperature difference could be maintained in the range between 20–31°C and 5–16°C, respectively, at a direct normal irradiance of about 910 W/m2, 15°C silicon oil inlet temperature, and Re numbers varying from 13,602 to 2720. Finally, they reported no significant efficiency degradation and the electrical performance was considered to be stable after 270 days of silicon oil immersion.
Teo et al.  did an experimental study on analyzing the effect of active cooling systems on the efficiency of the PV modules. They applied parallel arrays of ducts with inlet/outlet modified designs for uniform airflow distribution which attached to the back of the module. The efficiency increased from 8-9% to 12% and 14% by using the active cooling system.
Ji et al.  performed a numerical and experimental study on using a jet impingement/channel receiver for cooling densely packed PV cells under a paraboloidal dish concentrator. They had shown that the proposed system has the desirable working performance and was of good application potential for the cooling of PV cells exposed to a high heat flux.
Brideau and Collins  could increase the heat transfer coefficient between the PV cells and air by using an impinging jet with the aim of proposing a hybrid PV/T system. Table 8 shows the main description of different cooling systems.
Environmental issues and energy saving concerns have always been a major global problem. CPV systems are special technology due to their capability of producing electricity with high efficiency. A review of solar photovoltaic concentrators’ technologies and their characteristics and properties such as their fundamental functions, efficiencies, concentration ratio, tracking systems, cooling systems, and brief comparison in some parts is presented. Choosing the complete CPV containing the concentrator, tracking system, and cooling system is highly dependent on some limitation factors such as the climate conditions, geographical conditions, budget limits, and space limits. Consequently, for choosing an appropriate CPV system, considerations can be made by using the summarized information provided in Tables 3–8 by assuming the limitation factors.
Through this review paper, we introduced solar concentrated photovoltaic systems in a detailed description in order to provide some main information for scientists and manufactures to improve the CPV technology and to optimize the efficiencies. Finally, it will draw wider interest to the use of concentrated photovoltaic technology.
Conflict of Interests
The authors declare that there is no conflict of interests regarding the publication of this paper.
The authors gratefully acknowledge Dr. Kiyan Parham, the lecturer of Mechanical Engineering Department in Eastern Mediterranean University, for his valuable help for searching the literature.
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