Particulate fouling of CuO–water nanofluid at isothermal diffusive condition inside the conventional heat exchanger-experimental and modeling
Graphical abstract
Introduction
Heat exchangers are widely used in many engineering applications such as chemical industry, power plants, food industry, environment engineering, waste heat recovery and air conditioning. In order to reduce the prices of energy, industries tend to apply energy saving methods as much as possible in their facilities. Using nanofluids are one of the best possible solutions for energy saving and improving the efficiency of heating tools which is still under study by researchers [1]. Convective heat transfer is one of the most widely investigated thermal phenomena in nanofluids [2], [3], [4], [5], [6], [7], [8], [9], relevant to a number of engineering applications. Due to the observed improvement in the thermal conductivity, nanofluids are expected to provide enhanced convective heat transfer coefficients as well as better thermal performance when they are used as working fluid. However, as the suspensions of nanoparticles in the base fluids affect the thermo-physical properties other than thermal conductivity also, such as the viscosity and the thermal capacity, quantification of the influence of nanoparticles on the heat transfer performance is essentially required [1], [10]. Fouling of heat transfer surfaces during sub-cooled flow boiling is an important challenge in thermal engineering and process industries. Nevertheless, only few experimental and theoretical investigations on this subject can be found in the literature. For almost all the previous studies, fouling resistance has been investigated when occurring on the heat transfer surfaces of boilers and evaporators as crystalline deposit caused by precipitation from solutions of mineral salts which have inverse solubility behavior, however, lack of literature for particulate fouling of nanofluid is sensible. When Najibi et al. [11] conducted many experiments to investigate the calcium sulfate scale formation during sub-cooled flow boiling; he suggested the mechanistic model based on the nucleate boiling fraction for prediction of fouling resistances, which was in good agreement with the obtained experimental data. They postulated that the deposition in the boiling zones is reaction rate controlled due to the agitation created by bubble interactions around the heating section. Helalizadeh et al. [12] carried out experiments to study the mechanisms of salt solutions and crystallization fouling on heating surfaces in convective boiling and sub-cooled flow boiling conditions. Al Mutairi [13] demonstrated that fouling deposition rate of mixed salts increases with the increase of concentration of the fouling solution. Mwaba et al. [14] have noticed that the scale layer growth increased with the surface temperature and decreased with the flow velocity. After researches that were conducted by Demopoulos [15] it was found that supersaturation is the key parameter in controlling the rate of aqueous precipitation. Fahiminia [16] conducted experimental fouling investigation on tube and reported that the highest rate of fouling occurred at the location of the highest temperature. Vatani et al. [17] conducted experimental investigation inside the annulus to investigate the different operating condition on heat transfer reduction and fouling resistance and applied the asymptotic model for predicting the fouling resistance for mixed salts. Recently, an investigation on micro-particles (alumina 1–2 μm) has been conducted by Vatani et al. [18] and influences of bubble formation and particulate fouling of alumina inside the small vertical (annular) heat exchanger fouling were studied. Arsenyeva et al. [19] investigated thermal resistance of cooling water fouling in plate heat exchangers and the asymptotic behavior of water fouling was examined specifically and the net rate of fouling accumulation was described as the difference between the fouling deposition rate and the fouling removal rate. An equation was proposed to account for how the fouling resistance varies with time.
According to the literatures, no great attention has been paid to fouling of nanoparticles in heat transfer media. On the other hand, most of previous studies have been conducted inside the small annulus, i.e. with hydraulic diameter of 20 mm or less or inside the confined spaces. In our previous works [20], [21], [22], it has been shown that scale formation can deteriorate the heat transfer performance of nanofluids in an isothermal diffusive layer due to formation of a polarized layer around the heating surface in a compact heat exchanger. In this work, a conventional vertical annulus is fabricated and influence of different operating parameters such as heat and mass flux, concentration of nanofluids, wall temperature and sub-cooled level on the fouling resistance parameter and heat transfer coefficient of CuO/water are experimentally investigated and a new correlation for estimating the fouling resistance of nanoparticles based on the isothermal diffusive condition is proposed.
Section snippets
Experimental setup
Fig. 1 shows the schematic of experimental setup. The fabricated test loop is a modified version of the experimental setup which was utilized in our previous works [20], [21], [22]. In fact, we changed the geometrical properties of the test section close to the conventional dimension in order to be able to validate the interpreted results for industrial and applied systems. The working fluid enters the loop from a main tank through the isolated pipes and is continuously circulated by a
Results and discussions
The deposition process is classified according to the physical and chemical processes that simultaneously occur on the heat transfer surface. Usually, two types of fouling are recognized under boiling and evaporation: one of them is a crystalline deposit caused by precipitation from solutions of mineral salts which have inverse solubility behavior, and the second is deposition of suspended particles carried by the main liquid flow in the heat exchanger due to change in operational parameters.
Correlating of experimental data
Although studies of Peyghambarzadeh et al. [17], Najibi et al. [11] and Helalizadeh et al. [28] leads to correlation of experimental data in crystallization fouling but no efforts were made to find a proper correlation for the particulate fouling yet. According to the latest research conducted by Arsenyeva et al., [19], the net fouling flux can be calculated by:knp is the thermal conductivity of deposited particles (CuO nanoparticles). In the present study, primary attention
Conclusions
In order to measure the fouling resistance of nanofluids, experimental investigations on the particulate fouling of CuO water based nanofluids have been conducted and following conclusions have been made:
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A two-step method based on the stirring, pH control (using NaOH + HCl) and ultrasonic sonication have been introduced which help the nanofluids to be stable for about 1080 h at pH = 10.2 and for sonication time about 4.5 h.
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Thermo-physical properties were experimentally measured and represented which
Acknowledgements
Authors of this work tend to dedicate this work to Imam Mahdi and declare their sympathy and solidarity with people of Ghaza due to the brutal Israeli attacks. They also appreciate Semnan Nano heat transfer Lab for sharing their scientific facilities.
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