Empirical Study of the Effect of Nanocoolant Particles on Corrosion Rate of 316 Stainless Steel

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Introduction
The cooling mechanism within a heat exchanger has significant importance in industrial uses.Engineering processes that involve high-speed and high-power engines necessitate a dependable cooling system to maintain stable operational temperatures.The heat exchanger is a device to transfer heat between one or more fluids.In the heat exchanger, the fluid is separated by a solid wall to prevent mixing or direct contact.Shell and tube heat exchangers consist of a series of metallic tube bundles which contain fluids to provide or absorb heat.This design is designed for higher-pressure applications and low corrosion rates.Oil, water, and various other synthetic liquids are typical substances used in cooling systems, yet their effectiveness in heat transfer is constrained.
Corrosion is among the general failure modes that occur in metallic structures including heat exchangers [1,2].Corrosion erosion is one of the factors that can not only cause damage to equipment but also cause malfunction of equipment, especially in piping systems [3][4][5][6][7][8][9].The rate of deterioration is affected by the type of material, manufacturing process, shape, and geometry, as well as the corrosive environment.Surface conditions also play a role in influencing the resistance of objects to corrosion [5,[10][11][12].During the corrosion process, metal loss occurs due to electrochemical reactions on the surface which can cause various types of corrosion, especially pitting, intergranular, or transgranular corrosion [1,[13][14][15].The metal degradation due to corrosion is further accelerated in the presence of solid particles, which contribute to wear and erosion impacts.Extensive experimental work has established a correlation between surface roughness (Rz) and the corrosion process [14,16,17].Stoilov and Northwood [12] created varied levels of surface roughness on nickel surfaces using SiC papers, subsequently comparing their corrosion properties.Evaluations through techniques such as electrochemical impedance spectroscopy (EIS) and profilometry revealed that lower roughness values were correlated with elevated corrosion resistance.Additionally, the effect of surface roughness on the corrosion process was also observed by Hong and Nagumo [11].They proved that rougher surfaces initiate the early stages of pitting corrosion in type 301 stainless steel.Other works conducted by Zhao et al. [18] further revealed that the roughness of the metallic surface significantly influences the corrosion resistance of sol-gel coatings on AA2024 alloys.
Traditional cooling mediums, such as water or ethylene glycol, have limitations in terms of uniformity in thermal conductivity, thermal stability, and heat capacity, as well as requiring more area for heat exchange, resulting in impractical power consumption, particularly in high-performance heat transfer applications [2].However, nanofluids, composed of nanoparticles dispersed in base fluids like ethylene glycol and water, offer improved thermal conductivity and stability compared to traditional cooling agents [4,19,20].Research shows that nanofluids provide heightened conductivity and enhanced thermal stability, making them a promising alternative for various heat transfer applications [21][22][23].Nonetheless, utilizing nanofluids in cooling systems presents challenges, as solid particles within the fluid can lead to corrosion and erosion of pipe surfaces, raising concerns about the impact of nanocoolants on metal degradation rates [24][25][26][27][28][29].Recent studies have explored methods to mitigate these issues, such as using image processing to assess surface roughness and investigating the addition of graphene nanoparticles to improve corrosion resistance [30].In 2019, Wang et al. [31] investigated how adding graphene nanoparticles to nanofluids improved the corrosion resistance of carbon steel.They found that the presence of graphene led to better corrosion resistance than the base fluid alone.Similarly, Li et al. [32] studied the erosioncorrosion behavior of stainless steel in nanocoolants containing silica nanoparticles.Computational modeling techniques, like molecular dynamics simulations, are also being used to predict the performance of steel in nanocoolant environments [33].Overall, while nanofluids offer significant advantages, addressing their potential drawbacks is essential for their effective implementation in cooling systems.By studying the risks associated with nanoparticles in coolants and comparing them with traditional cooling methods, it can enhance the understanding of the reliability of cooling systems.This, in turn, paves the way for the development of improved technologies that prioritize sustainability and efficiency.

Experimental Setup
2.1.Nanoparticles Materials.Titanium dioxide exists in the form of nanocrystals or nanodots, characterized by their substantial surface area.This compound is also recognized by various names, including flamenco, rutile, titanium oxide, and dioxotitanium.The chemical, physical, and thermal attributes are presented in Tables 1-3.
The nanofluid is prepared by introducing titanium dioxide (TiO 2 ) nanoparticles at a concentration of 1% by volume into the ethylene glycol-based fluid (EG).The mixture is stirred continuously for several hours to attain a uniformly distributed solution.It is noted that EG, enhancing film formation, has an impact on the reduction of corrosion rates [20].However, this experiment specifically focuses on EG with a fixed concentration of 1%.The chemicals used were from UMP, Malaysia.

Material
Tested.The materials used were stainless steel 316.The austenitic structure of stainless steel 316 gives excellent toughness, even at cryogenic temperatures.The mechanical properties of AISI 316 are presented in Table 4. Figure 1 shows the samples employed for studying the corrosion rate under various flow rate conditions.The 316 stainless steel samples were from UTP, Malaysia.LPR, or linear polarization resistance, is a method that involves applying a small electrical current to the metal surface, inducing a potential difference.This method measures the rate of corrosion by recording the potential and current passing through the metal surfaces.The corrosion rate data were obtained using the Wonatech WPG100e Potentiostat/ Galvanostat, Korea.The hotplate used was from Labtech, Daihan Scientific, Korea, while the overhead stirrer was from Wisestir, UK.For all tests conducted, graphite rods and Ag/ AgCl electrodes from Gamry, UK, were selected as the reference electrodes.Table 5 shows the electrodes utilized to measure the corrosion rate using the LPR method.

Surface Roughness Tester.
A surface roughness tester is used to calculate the roughness average (R a ).Roughness (R a ) measures an average of the absolute values of the roughness profile surfaces.Surface roughness was measured using contact profilometers, which physically trace the surface with a stylus to measure its profile (UMP Lab, Malaysia).

Design of Experiment.
Corrosion patterns can create a mathematical representation of the corrosion process using fundamental ideas from electrochemical reactions, which show exponential models [1].Using these trends, a corrosion   The technique of design of experiment (DOE) is applied to identify important parameters and examine the potential impact of variables in experimental settings [10,13].Additionally, it is useful in minimizing potential errors and enhancing experimental efficiency.The outcomes obtained through the DOE approach are subject to analytical analysis and statistical validation.A central composite design (CCD) is chosen and applied to establish a corrosion rate model using temperature and rotational speed, as depicted in Tables 6 and 7. Table 8 presents the matrix of CCD, employing two independent variables to generate second-degree model regression formulas.A CCD was employed to examine the response pattern and establish the collective impact of these variables.To ensure that variables in the experiments vary within the same range, the values of variables should be in a coded form (Equation ( 1)).This coded value is also crucial in managing the results to align with a normal distribution pattern.The variables were coded using the following equation [13]: 2.4.1.Preparation of Specimen.The working electrodes were made of material of stainless steel (AISI 316).The specimens with a 16 mm diameter and a 10 mm thickness were used in the experiments.The specimen surfaces were ground and polished with 180, 320, and 600 grit SiC paper successively.And then, the samples were rinsed with methanol and dried with a dryer.For these purposes, a three-electrode system (LPR method) was utilized.On the other hand, the dynamic tests were performed under various rotational speeds using a rotating cylinder electrode.The AISI 316 stainless steel specimens were positioned between PTFE washers, and an end cap was secured to the specimen holder's end.The cylindrical working electrodes were then attached to an electrode holder at the cell's center to facilitate rotation (Figure 2).

Results and Discussion
Tables 9 and 10 illustrate the impact of different temperature and flow conditions on corrosion rates, determined using the linear polarization resistance (LPR) technique.The experimental design employed the central composite design (CCD) to model corrosion behavior.From the CCD matrices, a regression model for corrosion rates was developed by fitting a second-order polynomial equation, which was analyzed using the least squares method.The constant parameter model was then calculated to derive a regression model representing the empirical relationship between the tested variables as expressed in Equations ( 2) and (3).

Parameter Estimates.
Assuming the corrosion rate of the mechanical model adheres to a second-degree polynomial, it represents the most optimal fit.Consequently, by aligning this curve with the empirical data, a regression equation was derived using the encoded coefficients, as depicted in Equations ( 2) and ( 3) below.Nanocoolant is as follows: Conventional coolant is as follows: where the corrosion rate is measured in mm/year, R is the rotational speed (rpm), and T is the temperature ( °C).
Figure 3 presents the relationship between measured and predicted data.From the figure, it can be seen that there is a strong interrelation between the model and the results of the experiment which is 97%.

Combination Effect of Temperature and Rotational
Speed on Corrosion Rate in Nanocoolant.The visualization of the RSM model enables the anticipation of the collective influence of rotation speed and temperature on the corrosion rate.Figure 4 shows the simultaneous effects of temperature and rotational speed on the corrosion rate.The graph reveals gradual effects on the corrosion rate with the combined impact of rotational speed and temperature.For instance, at a lower rotational speed (200 rpm), the temperature's influence leads to a corrosion rate rise of up to 1 mm/year.This trend persists across all temperature conditions.Notably, when the rotational speed reaches 1200 rpm and the temperature is 55 °C, the corrosion rate escalates to 5 mm/year.This observation has shown the connection between heightened corrosion rates and elevated levels of rotational speed and temperature.

Analysis and Discussions for the Experimental Results
. In Figure 3, the variations in corrosion rate at the various rotational speeds and temperatures are identified.The corrosion rate increases with the increase in temperature and rotational speed in both cases.According to Figure 3, the corrosion rate is minimally affected by temperature at lower rotation speeds.However, at higher rotation speeds, increasing temperature leads to a significant increase in corrosion 5 International Journal of Corrosion rate.These results align with previous research by references [9,10,13], which similarly found that higher temperatures tend to result in localized corrosion.This proves that the corrosion rate is highly influenced by the synergistic effects of temperature and rotational speed.Generally, higher temperatures expedite corrosion rates due to increased chemical activity [1,10,13].
In general, Figures 5-7 show that at higher temperatures, the corrosion rate tends to stabilize.This phenomenon can be attributed to the increased diffusion coefficient of species, which accelerates the formation of a protective film on the metal surface.Consequently, this film reduces the corrosion rate [13].At higher temperatures, the access of oxygen into the metal is limited when a protective layer is formed.Although higher temperatures can accelerate corrosion, the decrease in oxygen solubility acts as a counterbalance.Rotational speed stands as an additional factor influencing the corrosion rate.The hydrodynamic conditions can enhance the movement of metal ions formed during metal dissolution from the electrode surface to the solution's bulk [27].The increase in corrosion rate due to fluid velocity is related to heightened turbulence and mixing in the solution.High velocity accelerates corrosion by enhancing the transport of cathodic species toward the steel surface through turbulent flow [8,9,13].Nonetheless, at higher rotation speeds (as indicated in Figure 6), there was a trend where the corrosion rate reduced.This phenomenon may be associated with the limiting current density mechanism at the cathode site [10].

Comparison of Nanocoolant and Conventional Coolant
on Average Roughness Depth. Figure 5 illustrates a comparison of the effect of the erosion rate, represented by surface roughness, on the corrosion rate of stainless steel for a fluid with nanoparticles versus a conventional coolant.Experiments were conducted at a rotation speed of 1800 rpm.Results showed that the average roughness depth increased with temperature for both the nanocoolant and the conventional coolant.However, the erosion rate was consistently higher for the nanocoolant due to the mechanical force and friction during the experiment.This suggests that a synergistic effect of erosion and corrosion occurred, where solid particles of the nanofluids contributed to specimen damage.

The Comparative Effect of Rotation Speed and
Temperature on Corrosion Rate between Nanocoolant and Conventional Coolant.In both nanocoolant and conventional coolant, the corrosion rate of stainless steel increased as the rotation speed increased (see Figure 6).The observed phenomenon can be attributed to the acceleration of electrochemical reaction transfer, resulting in both mass transfer reactions and hydrodynamic effects on the solution [13].Increasing the rotational speed can additionally diminish the thickness of the solution's boundary layer adjacent to a metal surface.This decreased boundary layer thickness facilitates a faster corrosion process on the metal surface by enabling the dissolved species to act more rapidly [1,9,10].The study also revealed that the corrosion rate of stainless steel increased when temperatures increased (Figure 7).One possible explanation for this is the acceleration of the      International Journal of Corrosion cathodic reaction produced by hydrogen ions through the dissociation reaction and reduction in fluid coolant.It can be seen that a direct relationship between the temperature and the concentration of hydrogen evolution was observed [13].

Conclusions
This study found that when the experiment was conducted in static conditions, the corrosion rate of 316 stainless steel was higher in nanocoolant than in conventional coolant.The use of nanocoolant resulted in a higher corrosion rate compared to conventional coolant.The presence of suspended nanoparticles in the nanocoolant is believed to contribute to this effect by acting as an erosive medium.
Although the presence of TiO 2 nanoparticles in the nanocoolant did have some effect on the erosion rate, the synergistic effect of erosion and corrosion was much more pronounced in flowing nanofluids.This can be attributed to mechanical wear, which damages the specimen's protective layer and exposes it to corrosive agents such as oxygen.Further research is needed to fully understand the underlying mechanisms and to identify strategies for mitigating these effects.The results indicate that the corrosion effects of nanocoolant should be considered when designing cooling systems.

Figure 4 :
Figure 4: Surface plot of corrosion rate vs. temperature and rotational speed for nanocoolant.

Figure 7 :
Figure 7: Effect of temperature on the corrosion rate of 316 stainless steel on nanocoolant and conventional coolant.Average roughness versus temperature of nanocoolant and conventional coolant.

Figure 5 :
Figure 5: Average roughness versus temperature of nanocoolant and conventional coolant.

Figure 6 :
Figure 6: Effect of rotation speed on the corrosion rate of 316 stainless steel on nanocoolant and conventional coolant.

Table 4 :
Mechanical properties of stainless steel AISI 316.

Table 7 :
Original and coded variables.

Table 8 :
Matrix of CCD experimental design using two variables.

Table 9 :
Experiment design of independent variable to study corrosion rate in nanocoolant.

Table 10 :
Experiment design of independent variable to study corrosion rate in the conventional coolant.
4International Journal of Corrosion 2.5.Corrosion Experiments.The experiments were carried out in two distinct coolant types: traditional coolant and nanofluid, under stagnant (static test) and rotating conditions (dynamic test).The static tests were utilized to investigate corrosion behavior in a nonflowing solution.