The 30th National Conference on Combustion and Energy April 24, 2020 National Chin-Yi University of Technology Paper ID: 0XX Diffusion Effect on Soot Characteristic of Emulsified/Non-Emulsified Fuel’s Droplet Combustion Atul Kumar*, Shouyin Yang Department of Power Mechanical Engineering, National Formosa University Huwei Township, Yunlin county, 632, Taiwan * Corresponding author Email: 10774128@gm.nfu.edu.tw MOST Project No: MOST 108-3116-F-008-004-CC1 & MOST 109-3116-F-008-008-CC1 Abstract The present study examined the physics and mechanisms of Micro-explosion in emulsified and Non-emulsified fuels. Direct and backlight imaging methods were used to perform the experiment. The experiments were conducted in normal atmospheric conditions and the fuel droplets were glass fiber supported. Experimental result shows the difference between puffing and explosion. Puffing Is the ejection of the water vapors from the droplet and with the ejection the small droplets are also produced which are named as daughter droplet. The daughter droplets are formed in both puffing and explosion process. Explosion is the breakup of the droplet due to the higher vapor ejection force. So by analyzing the daughter droplet velocity and size, the puffing and explosion can be characterized. Also the probability of micro-explosion and puffing taking place in emulsified versus non-emulsified fuels has been analyzed. And the result shows that the non-emulsified fuels are more prone to the explosion or droplet break-up and emulsified fuels are more prone to the puffing. The break up delay time shows the prominent decrease with the increment of water content. The emulsified fuels also show higher droplet shape oscillations as compared with the non-emulsified fuels. The impact factor which is the Factor which describes the impact of The puffing or explosion on the parent droplet, shows that the emulsion fuel droplet ejection has Higher local impact factor than the non-emulsified fuel. The daughter droplet production is higher in non-emulsified fuels but the diameter of the daughter droplet is higher. Which means if the explosion dominates the micro-explosion then the daughter droplet produced would be bigger in size than produced in emulsified fuels or puffing dominated combustion. Keywords: Droplet combustion, Schlieren imaging, Laser extinction imaging, Emulsion and non-emulsion. 1. Introduction In all liquid fuel based engines, the reactants are fed into the combustion chamber in the form of finely divided droplet arrays. The combustion of such arrays inside the combustion chamber depends on various parameters. The droplet size, droplet velocity, droplet size distribution, pressure, temperature and gaseous compositions inside the combustion devices are few to mention. These parameters are so closely interrelated that each plays an important role. So we are studying droplet combustion of the fuels. Most experimental campaigns date back to around The 1990s: the shell-like structure of soot, placed between the flame layer and the droplet surface, was first observed by Shaw [1]. The reason behind such a peculiarity was later attributed by Jackson and Avedisian to the competition between the convective or Stefan-flow, due to evaporation, and the thermophoretic flow acting on particles. They correlated the decrease in the burning rate with droplet size to soot production because of a combination of barrier and radiation effect, affecting the total heat transferred to the droplet [2,3]. The structure of the flame enclosing the droplet was then studied by Mikami [4] by using hooked thermocouples, and showing that the maximum temperature region, i.e. the reaction zone, is located outside of the yellow luminous zone, whose color is due to radiation from soot [4]. The transient evolution The 30th National Conference on Combustion and Energy April 24, 2020 of soot volume fractions was quantified in later works: the maximum values were found to be between 10 and 100 ppm, i.e. more than one order of magnitude higher than that observed in gas-phase diffusion flames with the same fuels [5]. Finally, experiments on space laboratories allowed an extensive investigation on large-sized droplets (super-mill metric), whose combustion dynamics cannot be followed in drop towers because of their insufficient length. In this way, light could be shed on radiative extinction of large droplets and cool flame burning due to the low-temperature chemistry of nalkanes [6,7,8]. In this study diesel, butanol, 95% diesel +5% water (emulsion) and 95% butanol with 5% water (non-emulsion) are used to compare the results. Butanol does not need emulsion to produce the mixture with water but diesel does require emulsions to make diesel and water mixture. So this study also focuses on the effects of emulsified and nonemulsified mixtures. The soot production is one of the biggest problems in the internal combustion engines because it results in increased operation cost [9]. On the other hand, soot formation is necessary phenomenon in many industrial operations like soot particles increases the radiative heat transfer and due to this it is very important in industrial furnace applications. So methods must be derived to control soot production for selective applications. So keeping this in mind, the objective of this study is to understand the relations between soot diameter, hot boundary width and height, soot thickness, Stefan flow, evaporation and diffusion because these phenomena mainly contribute in flame and soot. To understand and relate these phenomena butanol and diesel are chosen as fuel for this study. Also the emulsified diesel and water mixture and butanol and water mixture is also added in this study to create wider picture to understand and relate. To perform the experiments schlieren imaging setup and laser extinction setup were synchronized. The results from this synchronized setup gives clear information about all the phenomenon’s mentioned above. 2. Experimental setup In this study, single droplet combustion was used and the droplet was suspended on the quartz or glass fiber. The quartz fiber is single threaded. As shown in figure 1. The experimental setup comprises of droplet generator, combustion chamber, biconvex National Chin-Yi University of Technology Paper ID: 0XX lenses, laser light source, condensing lens, pinhole, knife edge, electronic ignitor, Band-pass filter, LED light source, high speed camera and color camera. For this study a syringe was used to generate the droplets. With the help of the syringe the droplet is generated on the quartz fiber thread whose diameter was around 0.012-0.016mm and the diameter of the droplets generated ranges from 0.7-0.8mm. The quartz fiber set in combustion chamber. The size of the combustion chamber is 71 and 80 mm in length and width. The chamber was isolated with glass to exclude ambient air, thus preventing the droplet combustion being affected by external air flows. The electronics ignitor is used to ignite the fuel droplets shown in figure 1. For the schlieren imaging technique setup a condensing lens is set ahead of light source to focus the light through the pinhole. After pinhole a pair of biconvex lens is used whose objective is to straighten the light rays in the space in between them where the combustion chamber is set as shown in figure 1. The biconvex lens 2 also works as condenser and a knife edge is set at the focus of the biconvex lens 2. The knife edge hast to be set exactly on the focus of the biconvex lens 2 so it can cut through the focus and control the brightness. But if the knife edge is not set on the focus then it would not give good quality of images. The light source used here is LED. After the knife edge the high speed camera was kept as shown in figure 1 [14,15]. #3 #1 #4 #2 Figure 1. Experimental setup 2.1. Laser Extinction Method Now diagonally the laser extinction setup is assembled. Biconvex lens 3 is kept ahead of light source and for laser extinction setup the light source is 650nm laser. In laser extinction setup pinholes and knife edge are not used. Only pair of biconvex lens, focusing lens and band pass filter is used. After The 30th National Conference on Combustion and Energy April 24, 2020 biconvex lens 4 the focusing lens is set and the position of focusing lens depends on the placement of combustion chamber. At last in front of high speed camera the 650nm band pass filter is assembled to the camera as shown in the figure 1. These two setups are focused at one point that is droplet and with the help of the measuring scale these setups are synchronized. When laser light passes through an absorbing medium, light extinction occurs which is the sum of absorption and scattering and, according to Beer–Lambert's law, the transmittance ππ is given by πΌ ππ = ln ( πΌπ ) = −πππ₯π‘ πΏ 0 (1) where πΌπ is the transmitted light intensity, I0 the incident laser beam intensity, L the path length traveled by the laser beam in the absorbing medium and πππ₯π‘ the so-called extinction coefficient. The latter can be expressed as a function of the number density (i.e., soot particle number per unit volume) n of particles with a particle diameter probability distribution function π(π·), and the extinction crosssection πΆππ₯π‘ for absorption and scattering ∞ (2) πππ₯π‘ = π ∫0 π(π·) πΆππ₯π‘ ππ· The extinction cross-section πΆππ₯π‘ is defined as the product of the extinction efficiency πππ₯π‘ and the projected area of the particles onto a plane perpendicular to the light beam axis. Assuming that all particles are spherical, πππ₯π‘ becomes π ∞ πππ₯π‘ = π ∫ π(π·) π· 2 πππ₯π‘ ππ· 4 0 (3) The extinction coefficient πππ₯π‘ is a function of the particle size, the laser beam wavelength and the complex refractive index of the absorbing particles and is generally the sum of the absorption and the scattering components. However, in the Rayleigh regime of the Mie theory, i.e. when the particle size is much smaller than the wavelength of the incident radiation, πD/λβͺ‘1, as in the case of the soot particle mean diameter compared to He–Ne laser wavelength, the scattering efficiency is much smaller than the absorption efficiency so that the former can be neglected. Light extinction is therefore only due to absorption and, in this case, the extinction coefficient can be expressed as follows National Chin-Yi University of Technology Paper ID: 0XX πππ₯π‘ = π ∞ π3 π2 −1 πΌπ ( ) ∫ π(π·) π· 3 ππ· π π2 +2 0 (5) (4) where m is the complex refractive index. As it can be seen from Eq. (4), πππ₯π‘ is directly proportional to π· 3 and therefore to the mean particle volume. Given that the soot volume fraction, ππ£ , is defined by ∞ ππ£ = π ∫ 0 ππ· 3 π(π·)ππ· 6 substituting the soot volume fraction into Beer– Lambert's law equation (Eq. (1)) and taking into account Eq. (4), the soot volume fraction becomes πΏ ∫ ππ£ ππ₯ = 0 π ln(πΌπ ⁄πΌ0 ) 6ππΌπ (π2 − 1)⁄(π2 + 2) (6) If the soot distribution is uniform along the light path, ππ£ can be obtained from the (πΌπ /πΌ0 ) ratio as ππ£ = π ππ(πΌπ ⁄πΌ0 ) 6ππΏπΌπ (π2 − 1)⁄(π2 + 2) (7) Eq. (7) holds based on three major assumptions. First, the particles are considered spherical. To this regard, fast sampling studies followed by microscopy analysis have shown that in the early stage of soot formation particles are indeed spherical [11]. In fact, small particles which form during combustion are highly reactive and therefore when they collide and coalesce tend to generate new particles which are also spherical. Also, chain-like structures observed in diesel engine exhaust are most likely to form after the end of the combustion event rather than before or during it [12]. Since this study is focused on the early stage of soot formation, particles can be assumed as spherical with good confidence. The second assumption is made on the validity of the Rayleigh regime. With respect to this, it has been reported in the literature that during the early stage of soot formation soot particles are very big molecules with diameters less than 2 nm [11], and, also, that the aggregates which form during the combustion phase do not exceed the 20–30 nm size range in diameter [11], [13]. Using a laser source with 632.8 nm wavelength ensures therefore that no scattering is likely to occur during the measurement. Finally, in Eq. (7) the refractive index m is considered constant. Chang and Charampopoulos [14] estimated the soot complex refractive index based on dynamic light scattering (DLS) to be 1.8- The 30th National Conference on Combustion and Energy April 24, 2020 i0.58 at 10 mm above the burner surface and 1.62i0.47 at 6 mm with an incident laser light wavelength of 632.8 nm. Instead, Lee and Tien [15] calculated the soot refractive index based on a multivariable dispersion model finding the 1.9-i0.55 value at 650 nm without any significant temperature effect at this wavelength. In this work, the value suggested by Chang and Charampopoulos is used and considered constant with the varying temperature. If the particle distribution is not homogeneous, the above relationship represents an average concentration of the soot volume along the laser beam path. The cameras were synchronized together to capture the combustion of the droplet. National Chin-Yi University of Technology Paper ID: 0XX Figure 2. (i). Pure Butanol Droplet combustion, (ii). Pure Diesel, (iii). 95% Butanol + 5% Water (noemulsion), (iv). 95% Diesel + 5% Water (emulsion), & a. Laser Extinction results, b. Schlieren Results 3. Results 3.1. Experimental Results The aspect ratio shows the shape oscillations and the expansion of the droplet. As shown in figure 3. The figure 3A shows the aspect ratio of emulsified fuel. The aspect ratio of emulsified fuel has a lot of expansion and puffing. So the puffing spikes are present in emulsified fuel. The instant increment in the aspect ratio is due to the expansion and then the decrement shows the puffing taking place, so the spikes are named as Puffing spikes. After the cycles of puffing ultimately explosion takes place and it is marked in figure 3. In the figure 3. the results of direct Imaging for pure diesel, pure butanol, 95% butanol + 5% water (nonemulsion) and 95% diesel+ 5% water (emulsion) are shown. Figure 3. Direct imaging results of a. Pure butanol, b. Butanol with water, c. Pure Diesel, d. emulsified water and diesel In these results it can be observed that when water is mixed with butanol it makes no effect as the combustion can be observed stable. But for diesel water emulsion the phenomenon’s like puffing, expansion and explosion takes place. And the reason behind this could be the different boiling and evaporating temperature of diesel and water. It can also be observed that the multicomponent fuel has a special phenomenon i.e. micro-explosion but it does not take place in homogenous solutions like Butanol and Water mixture. This means the solutions which are naturally miscible does go through microexplosions but the solutions in which the solvents are not miscible or immiscible and we use emulsifiers to mix them in solution goes through the microexplosions and puffing phenomenon. The reason behind this is that the emulsifiers are not fully efficient, they fail to produce 100% homogenous solution of two immiscible fuels and the result of this is micro-explosion and puffing. This happens because both fuels are not thoroughly mixed and they have different-different boiling temperatures so when we ignite the emulsified fuel mixture because of the fuel is not mixed results in bubble formation and bubble formation results in expansion and then puffing and puffing results in micro-explosions. So microexplosions do not take place in non-emulsified fuel solution like Butanol and Water but this phenomenon The 30th National Conference on Combustion and Energy April 24, 2020 National Chin-Yi University of Technology Paper ID: 0XX can be observed in emulsified Diesel and Water fuel solution. 3.2. π· 2 -law The evaporation law is the relation between the time, droplet diameter and burning rate. In the figure 4. the relation between normalized instantons droplet diameter and normalized time (π‘⁄π02 ) is shown for pure diesel and butanol. The curve is linear that means these fuels follow π· 2 -law or evaporation law. But when Butanol-water and Diesel-water is observed, the effect of addition is minor on the butanol but a major change can be observed for diesel. The curve of diesel-water is not-linear is the first observation and second observation is that the burning time of the Diesel-water emulsion has rapidly decreased if we don’t consider the explosion. Figure 4. Graph between Normalized diameter square vs Fractional Burning time for fuels The plot shows that for butanol water addition divide the curve into two in first phase the burning rate of butanol-water mixture is lower but in second phase the burning rate rapidly increases and becomes more than pure butanol. But the increase and decrease is very low but the increase of burning rate of the water added into diesel with emulsion is very high than the non-emulsion mixture. 3.3. Hot boundary region Figure 5. Vertical hot boundary and Horizontal hot boundary It can be collected for horizontal hot boundary and vertical hot boundary As it can be observed from figure 5. That vertical hot boundary is named as ‘D’ and horizontal hot coundary is named as ‘L’ a. Horizontal Hot Boundary From schlieren results the information about hot boundary can be observed and the hot boundary plays a critical role in the area of soot and soot production. In the figure 6, It can be observed that the normalized horizontal hot boundary of pure Diesel and pure Butanol is higher than the water added emulsified or non-emulsified fuels. So, water reduces the horizontal hot boundary of diesel and Butanol whether its emulsified or Non-emulsified. Less hotboundary means low thermal value so water addition reduces the thermal value for Butanol and Diesel. And it also shows that emulsified mixture has a little higher horizontal hot boundary than Non-emulsified fuel but the difference is very low. Figure 6. Graph between Normalized horizontal hot boundary vs Fractional burning time b. Vertical Hot Boundary In the figure 7. Normalized vertical hot boundary is plotted vs fractional burning time. In this plot it can be observed that the water addition whether its emulsified or non-emulsified both are affected but the emulsified one i.e. 95% Diesel + 5% water is affected more than non-emulsified i.e. 95% butanol =5% water. The 30th National Conference on Combustion and Energy April 24, 2020 The effect can be observed that the vertical hot boundary ‘D’ has increased for both but the increase for emulsified Diesel is very high than the Butanol. This also explain the increase in Stefan flow in fig 1, so from this we can relate the Stefan flow area is directly related to the vertical hot boundary L. It can also be observed that the differnce between pure diesel and pure Butanol its quite big. When these results are compared with the soot thickness values it can be observed that the higher D value results it better diffusion and reduced soot thickness values. Figure 7. Graph between Normalized Vertical hot boundary vs Fractional burning time And when figure 6, & figure 7, was compared it gave relation between vertical Hot boundary ‘L’ and horizontal hot boundary ‘D’ and the relation comes out as vertical hot boundary is inversely proportional to horizontal hot boundary. π L∝ π 3.4. Soot Stand-off Ratio The soot standoff ratio (SSR) was calculated for diesel and Diesel-water emulsion. Butanol does not show any soot so no SSR value for Butanol. The uncertainty in these measurements is ±5 %. The SSR is defined as the ratio of the instantons droplet soot shell diameter to the instantaneous droplet diameter. As shown in the figure 7, The SSR for diesel and diesel-water emulsion is plotted vs fractional burning time. It can be observed that the soot diameter of the diesel is first higher than diesel emulsion but the soot diameter of diesel emulsion increase rapidly, and the reason behind this could be the low thermal value. If National Chin-Yi University of Technology Paper ID: 0XX these SSR results are compared with hot boundary value it can be observed that the temperature effects the soot production and coagulation process. Lower horizontal hot boundary lowers the soot diameter and lower soot diameter means faster coagulation. The SSR plots for Pure Butanol and Butanol with 5% Water cannot be observed because no soot production in each of the fuel and also the effect of water addition is very low cause the percentage is low but for Diesel or non-emulsified fuels the effect of producing mixture is very high. Figure 8. Soot standoff ratio vs Fractional Burning Time of Diesel and 95% Diesel+5% Water (emulsion) 3.5. Soot Thickness (KL) The soot thickness value analyzed from laserextension imaging shown. It’s calculated for diesel and diesel-water emulsion. And it is calculated at four places in the flame based on height foe example at 10, 15, 20, 25 at these four locations the soot thickness is calculated horizontally at every point. And also compared at three stages those are (i) Developing flame or start, (ii) Developed flame or mid (iii) Burnout. (i). Developing Stage As it is observed from figure 9. that at the developing stage the flame is unstable and there is not much difference between the diesel and diesel + water emulsion. But still the soot area of pure diesel is higher than the soot area of diesel-water emulsion. When the average KL value is compared at every point of line it can be observed that the difference The 30th National Conference on Combustion and Energy April 24, 2020 between pure and emulsified at developing stage is very minute but the emulsified one has lower KL value than the pure Diesel. When its compared with these hot boundaries and SSR plot results, it can be observed that increase in vertical hot boundary reduces the soot production and soot diameter. The increase in the vertical hot boundary can be the result of the micro explosions and puffing. National Chin-Yi University of Technology Paper ID: 0XX Figure 10. KL values vs position at four heights for i. Diesel and ii. 95%Diesel+5%water at Developed stage At the developed stage the clear difference can be observed. The KL area of pure Diesel is higher than the 95% diesel +5 water emulsion, and also average KL value of pure diesel is higher than the 95% diesel + 5 water as shown in figure 10. (iii). Burn-Out At the burn-out stage again the difference is very minor. The area of both the soot is same but the average KL value for diesel is higher than the 95% diesel + 5% water emulsion as shown in figure 11. Figure 9. KL values vs position at four heights for i. Diesel and ii. 95%Diesel+5%water at Developing stage (ii). Developed Flame In figure 10. The KL value graph is shown. Figure 11. KL values vs position at four heights for i. Diesel and ii. 95%Diesel+5%water at Burn-out stage 4. Discussion All the results are compared and it can be said that the Stefan flow area affect the Diffusion and Low diffusion results in higher soot concentrations and it’s all explained in the Figure 12. As it can be observed from the figure 12. How the diffusion area gets affected by Stefan flow? And it has been already explained how Stefan flow area differs for emulsified and emulsified fuels. So the Stefan flow area increases for emulsified fuels due to microexplosions and due to that diffusion area increases and this all sums up by the reduced KL (sootthickness) value for emulsified fuels. The 30th National Conference on Combustion and Energy April 24, 2020 It can also be explained as here are two diffusion vectors one is Air Diffusion and another is Fuel Diffusion and the soot characteristics depends on the domination of these diffusion vectors. National Chin-Yi University of Technology Paper ID: 0XX (π)π=π = π·(πππ€ ⁄ππ)π=π ⁄π π π = − ππ΄ ⁄ππ π·(πππ€ ⁄ππ)π=π ⁄ππ΄ π ππ΄ and ππ being the molecular weight of air and water respectively, it turns out that πΉπ β πΉ0 [1 + (ππ€π + ππ€π ) ] 2π (11) Since both ππ€π and ππ€π ,the water vapor partial pressures at the droplet's surface and in the environment, respectively, are very small with respect to P, the atmospheric pressure. 5. Conclusions Figure 12. Effects of Stefan-flow and diffusion area on soot characteristics. The domination of these vectors is like when the air diffusion dominates the total diffusion then vapor diffusion area diffusion decreases and due to that soot production increases. And in the other case when the vapor diffusion domination is higher than the diffusion area increase and results in good diffusion and the result of that is lower soot concentration as its observed in emulsified fuels. It is explained by Maxwell as shown. Water droplet has been assumed. (8) −π·(πππ€ ⁄ππ)π=π which gives, according to MAXWELL[16], the vapor flux πΉ0 (water mass per unit of surface and for unit of time) at the surface of an evaporating droplet of radius R, is used for computing Stefan-flow velocity. In the more rigorous Stefan-Maxwell equation, the water vapor flux πΉπ€ at the droplet surface is given by (9) πΉπ€ = −π·(πππ€ ⁄ππ)π=π The flux is composed of a diffusive and a convective term which is generally called Stefan flow. It is a consequence of a velocity π ≠ 0 arising in the mass centre of the fluid with respect to the interface and directly normally to this. Since the velocity of this Stefan flow is given at the droplet surface by (10) In this study the images obtained from synchronized schlieren imaging and laser extension setup were analyzed and examined for finding establishing relations between soot, burning rate diffusion characteristics and horizontal and vertical hot boundary length. The conclusion obtained from this study are written bellow: 1. The vertical hot boundary and horizontal hot boundary are related. Vertical hot boundary is inversely proportional to horizontal hot boundary. 2. The effects of water addition are more severe in emulsified mixture so that means emulsions fail to mix the fuel to 100% efficiency. 3. Lower burning rate results in increase of vertical hot boundary (L) and Increase of vertical hot boundary results in higher Stefan flow area that results in good evaporation and diffusion and all this results in lower soot thickness. 4. The KL value decreases for emulsified 95% Diesel + 5% water and also the soot thickness or diameter value decreases. This is because temperature of the flame affects the soot Diameter. 5. 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