Appl Biochem Biotechnol (2013) 171:626–642 DOI 10.1007/s12010-013-0375-z Improving the Mixing Performances of Rice Straw Anaerobic Digestion for Higher Biogas Production by Computational Fluid Dynamics (CFD) Simulation Fei Shen & Libin Tian & Hairong Yuan & Yunzhi Pang & Shulin Chen & Dexun Zou & Baoning Zhu & Yanping Liu & Xiujin Li Received: 26 April 2013 / Accepted: 27 June 2013 / Published online: 20 July 2013 # Springer Science+Business Media New York 2013 Abstract As a lignocellulose-based substrate for anaerobic digestion, rice straw is characterized by low density, high water absorbability, and poor fluidity. Its mixing performances in digestion are completely different from traditional substrates such as animal manures. Computational fluid dynamics (CFD) simulation was employed to investigate mixing performances and determine suitable stirring parameters for efficient biogas production from rice straw. The results from CFD simulation were applied in the anaerobic digestion tests to further investigate their reliability. The results indicated that the mixing performances could be improved by triple impellers with pitched blade, and complete mixing was easily achieved at the stirring rate of 80 rpm, as compared to 20–60 rpm. However, mixing could not be significantly improved when the stirring rate was further increased from 80 to 160 rpm. The simulation results agreed well with the experimental results. The determined mixing parameters could achieve the highest biogas yield of 370 mL (g TS)−1 (729 mL (g TSdigested)−1) and 431 mL (g TS)−1 (632 mL (g TSdigested)−1) with the shortest technical digestion time (T80) of 46 days. The results obtained in this work could provide useful guides for the design and operation of biogas plants using rice straw as substrates. Keywords CFD simulation . Rice straw . Anaerobic digestion . Mixing performances F. Shen : L. Tian : H. Yuan (*) : Y. Pang : D. Zou : B. Zhu : Y. Liu : X. Li (*) Centre for Resource and Environmental Research, Beijing University of Chemical Technology, 15 Beisanhuan East Road, Chaoyang District, Beijing 100029, People’s Republic of China e-mail: yuanhr@mail.buct.edu.cn e-mail: xjli@mail.buct.edu.cn F. Shen Institute of Ecological and Environmental Sciences, Sichuan Agricultural University—Chengdu Campus, Chengdu, Sichuan 611130, People’s Republic of China F. Shen Provincial Key Laboratory of Agricultural Environmental Engineering, Sichuan Agricultural University—Chengdu Campus, Chengdu, Sichuan 611130, People’s Republic of China S. Chen Department of Biological Systems Engineering, Washington State University, L.J. Smith 213, Pullman, WA 99163, USA Appl Biochem Biotechnol (2013) 171:626–642 627 Introduction Anaerobic digestion is a complex biochemical process for the utilization of organic materials such as animal manures, lignocellulose-based substrates (energy crops and agricultural residues), food wastes, and sewage and industrial effluents [1]. Biomethane and biohydrogen can be generated by anaerobic digestion from the previously mentioned organic substrates [2]. Rice straw, as one of the most abundant agricultural residues, is widely distributed, with an annual total yield of 1.95×108 t in China [3]. In terms of the chemical components, rice straw has high content of cellulose (25.4– 35.5 %, wt/wt) and hemicellulose (32.3–37.1 %, wt/wt), which can be relatively easily converted by anaerobic microorganisms into biogas [4, 5]. Moreover, the relatively low lignin content (6.4–10.4 %, wt/wt) makes bioconversion easier than other agricultural residues such as corn stove or wheat straw [4, 6]. Therefore, biogasification by anaerobic digestion has been regarded as one of most important paths to utilize rice straw as a renewable energy source. However, a highly efficient anaerobic digestion generally depends on some key factors such as substrate characteristics, feeding patterns, pH, temperature, redox potential, hydraulic retention time, and mixing behaviors [7]. Recently, the importance of mixing in achieving efficient substrates conversion has been noted by many studies as it can potentially improve the distribution of microorganisms to substrates and heat transfer. It can also contribute to the reduction of substrate size and the improvement of gas separation from substrates [8–10]. Some studies reported that the performances of anaerobic digestion could not be efficiently improved at low mixing [11], whereas higher mixing may potentially disturb digestion [12, 13]. Generally, mixing can be achieved in many ways including gas recirculation, mechanical pumping, and mechanical stirring [14], in which mechanical stirring can easily achieve homogenization in practice and thereby is widely used in process industry operations involving various solid–liquid flows [15]. Furthermore, the most efficient mixing device in terms of power consumption is the mechanical agitator [16]. Therefore, in this work, mechanical mixing was employed in anaerobic digestion for biogas production from rice straw. Current researches on mixing in anaerobic digestion mainly focus on the feedstocks of animal manures, food wastes, and municipal solid wastes. Rice straw is characterized by low density, high water absorbability, and poor fluidity, resulting in serious non-homogenization and poor heat and mass transfer in anaerobic digestion, which thereby negatively affect digestion performances. Therefore, mixing is more important for rice straw digestion than for other transitional substrates. Moreover, the optimized mixing parameters for the traditionally investigated substrates could not be completely suitable for agricultural residues including rice straw. Hence, the mixing performances for anaerobic digestion of rice straw should be reconsidered. Computational fluid dynamics (CFD) is a well-established tool for numerical analysis, which offers many advantages over actual experiments. It can give a complete description for different flow patterns and is widely used to examine different design scenarios in a short time with a relatively low cost [16, 17]. Currently, considerable researches have been done on the various bioreactors for biomethane and biohydrogen production by anaerobic digestion [18]. The manure slurry was mainly investigated for the CFD simulation as a single-phase flow [7, 19–22]. However, since the characteristics of lignocellulose-based substrates for anaerobic digestion were significantly different from the manure slurry, rice straw digestion should be investigated as a twophase flow for CFD simulation. 628 Appl Biochem Biotechnol (2013) 171:626–642 The objective of this study is to improve mixing performance for higher biogas production from the anaerobic digestion of rice straw by CFD simulation and experimental tests. The CFD technology was firstly applied to simulate fluid dynamics performances to determine the suitable blade type and number of impellers. The stirring intensity was also investigated by CFD to determine the suitable parameters. Then, anaerobic digestion tests were carried out to validate the applicability of the stirring parameters obtained from CFD. Materials and Methods Digester and Operation A completely stirred tank reactor (CSTR) was used for the CFD simulation and anaerobic digestion experiment (Fig. 1a). The CSTR was 0.2 m in diameter and 0.3 m in height and had a working volume of 8.0 L. A stirring motor was mounted on top of the digester. Three typical stirring impellers in practice were investigated, including the pitched blade (PB), the high efficiency blade (HEB), and the discmounted flat blade (DFB), respectively (Fig. 1b). All impellers had the same blade diameter of 0.17 m and thickness of 1.0 cm. To determine a suitable blade type, the single impeller was employed with different blade types. The distance from the horizontal axis of the blade to the bottom of the reactor was set as 0.13 m. When the suitable blade for stirring impellers was decided, the impeller number was investigated to select the suitable one (Fig. 1c). The distance from the horizontal axis of the blade to the bottom of reactor was 0.13 m for the single impeller. For the double impellers, the distance was 0.16 and 0.06 m, respectively. For the triple impellers, the distance from the horizontal axis of the blade to the bottom was designed as 0.225, 0.13, and 0.035 m, respectively. Based on the selected blade type and number, the simulation was performed at the stirring rate of 20 to 160 rpm to investigate flow performances and determine the approximate stirring intensity for effectively mixing the substrate. Assumptions Some theoretical models for describing mechanical mixing performances in anaerobic digesters have been developed based upon the following assumptions. The mixing flow in the digester is considered to be three-dimensional and at steady state. The fluid is regarded as a two-phase flow including the water phase and solid phase. The diameter of rice straw particles in the fluid is defined as 1.0 mm with a density of 950 kg m−3. The volume fraction of the rice straw for the simulation is 0.4, which was determined by the substrate loading rate of 65 g total solid (TS)L−1for anaerobic digestion. The mixture for digestion is regarded as an incompressible and isothermal nonNewtonian pseudoplastic fluid. The digestion temperature can be maintained at 35 °C constantly for the liquid phase and the solid phase. The interaction of the produced biogas (gas phase) and the rice straw (solid phase) is also negligible. Appl Biochem Biotechnol (2013) 171:626–642 629 a b Pitched blade High efficiency blade Disc-mounted flat blade Single impeller Double impellers Triple impellers c 630 Appl Biochem Biotechnol (2013) 171:626–642 R Fig. 1 The employed digester, blades, and number of impellers for simulation. a Diagram of the anaerobic digested (1 digestion tank, 2 blade, 3 motor, 4 jacket for water bath, 5 inlet, 6 outlet, 7 gas flow meter). b Types of stirring impeller for anaerobic digestion (left pitched blade, middle high efficiency blade, right discmounted flat blade). c Number of impellers (left single impeller, middle double impellers, right triple impellers) Governing Equations The phase volume should be initially defined as: Z aq dV Vq ¼ ð1Þ V n aq=1, in which n is the amount of where aq is the volume fraction of the q phase and ∑ q=1 phase. The governing equations, consisting of continuity, momentum, and turbulence transport under steady state, can be expressed as follows: The continuity equation of a certain phase can be expressed in Eq. 2 as: Xn ∂ aq ρq þ ∇⋅ aq ρq ! ð2Þ vq ¼ mpq −mqp p¼1 ∂t where t is the time; ρq is the density of the q phase; ! v q is the velocity of the q phase; mpq is the mass transfer from the p phase to the q phase; and mqp is the mass transfer from the q phase to the p phase. The momentum equation can be defined in Eq. 3 as: Xn ⇀ ∂ v q þ ∇⋅ aq ρq ! v q! v q ¼ −aq ∇p þ ∇⋅ t q þ aq ρq ! g þ Rpq þ mpq ! v pq −mqp ! v qp aq ρq ! p¼1 ∂t ð3Þ where p is the static pressure of all phases; t q is the stress tensor of the q phase; ! g is the ⇀ ! ! gravity constant; v and v are the velocities between the p and q phases; and R is the pq qp pq force between the p and q phases. ⇀ Equation 3 must be closed with the interphase force Rpq ; FLUENT uses a simple ⇀ interaction term for Rpq as follows: n n X ⇀ X Rpq ¼ K pq ! v p −! vq p¼1 ð4Þ p¼1 where Kpq (=Kqp) is the interphase momentum exchange coefficient. The standard k–ε mixture model is employed in this work for describing turbulence. The turbulent kinetic energy (k) and the dissipation rate of turbulent kinetic energy (ε) in the model can be expressed with the following equations: μt;m ∂ ∇k þ Gk;m −ρm ε ðρm k Þ þ ∇⋅ ρm ! v m k ¼ ∇⋅ ∂t σk ð5Þ μt;m ∂ ε ðρm εÞ þ ∇⋅ ρm ! ∇ε þ C 1ε Gk;m −C 2ε ρm ε v m ε ¼ ∇⋅ ∂t k σε ð6Þ Appl Biochem Biotechnol (2013) 171:626–642 631 In these equations, ρm is the density of the mixture; ! v m is the velocity of the mixture; μt,m is the eddy or turbulent viscosity; Gk,m represents the generation of turbulent kinetic energy due to the mean velocity gradient; C1ε and C2ε are constants; and σk and σε are the turbulent Prandtl numbers for k and ε, respectively. The eddy or turbulent viscosity μt,m can be computed by combining k and ε as follows: μt;m ¼ ρm C μ k2 ε ð7Þ where Cμ is constant, and the model constants of C1ε, C2ε, σk, and σε all followed the empirical values. Concretely, C1ε=1.44, C2ε=1.92,Cμ=0.09, σk=1.0, and σε=1.3. In the non-Newtonian flows, the stress tensor ( t ) is controlled by the non-Newtonian viscosity (η) that is only considered to be a function of the shear rate (γ). The viscosity of the non-Newtonian power law can be expressed as: η ¼ K⋅γ n−1 ð8Þ where K is the consistency coefficient (in pascals per second raised to the nth power), γ is the shear rate, and n is the power law index. The values of K and n can be obtained by the lower and upper limits of viscosities and the corresponding shear rate. According to the determination for the employed mixture, the lower and upper limits of viscosities varied in the range of 0.174– 8.380 Pa s and the shear rate correspondingly varied in the range of 0.106–21.145 s−1. Consequently, the consistency coefficient (K) and the power law index (n) can be determined as 1.4 Pa sn and 0.3, respectively. Since Newtonian and non-Newtonian fluids exhibit different flow behaviors, the definition of the Reynolds number (Re) for Newtonian fluids is invalid for non-Newtonian fluids. In this work, the generalized Reynolds number proposed by Metzner and Reed is employed as follows [23]: Re ¼ nþ1 ρU 1−n ∞ D K ð0:75 þ 0:25=ðn þ 1ÞÞnþ1 8n ð9Þ where U∞ is the average velocity of the fluid at the exit of the moving zone that contains the impeller and D is the diameter of the zone. Numerical Approaches and Convergence Criteria The solution to numerical analysis for mechanical mixing of impellers can be solved by the multiple reference frame (MRF) approach. In the MRF approach, the equations for the impeller zone are solved with a rotating reference frame, whereas the equations for the stationary zone are solved using a stationary reference frame. Based on the software of MIXSIM (Version 1.7), the digestion reactor was modeled with a grid size of 405,053 meshes and 73,001 nodes. The CFD simulation was performed with the software FLUENT (Version 6.3.26) for different types of blades, number of impellers, and various stirring intensities. Subsequently, the TECPLOT software was used for data processing to investigate the velocity vectors, distribution of the solid phase fraction, and turbulence kinetic energy contours. The method to judge convergence was to monitor the magnitude of scaled residuals. The residuals are defined as the imbalance in each conservation equation following each iteration. The solutions were considered to have been converged when the scaled residuals of two successive iterations were lower than 10−5. A computer integrated with eight processors 632 Appl Biochem Biotechnol (2013) 171:626–642 with a clock speed of 3.40 GHz (Intel® Core™ i7-2600) was employed for the related computation. Application Experiments In order to examine the applicability of the obtained results from CFD simulation, the batch anaerobic digestion tests were conducted using the determined blade and impeller number. The inoculation of seed sludge, temperature, and pH for digestion were maintained at 15 g L−1, 35±2 °C, and 6.8–7.2, respectively. The rice straw loading rate was controlled at 65 g TS L−1 [24, 25]. The characteristics of rice straw and seed sludge are listed in Table 1. The biogas production and the methane content were recorded and analyzed according to reference [26]. Results and Discussion Mixing Performances with Different Blade Types Mixing performances of the different blade types were investigated at the stirring rate of 80 rpm. The velocity vectors and the volume fraction of the solid phase on the Y–Z plane are presented in Fig. 2. The difference of velocity in the digestion among these blades was not significant. They varied in the range of 0–0.36 m s−1. In Fig. 2, the black lines represent the streamlines of flow, which can reflect the footprint of rice straw particles in digestion on Y–Z plane. It was found that the rice straw particles could move smoothly from the top to the bottom of the digester, and axial flow could be achieved. Additionally, streamline circles could be formed at the bottom when the PB and the HEB were employed. This result indicated that the complete mixing of rice straw in the vertical column could be achieved with these two types of blade (PB and HEB). However, when the DFB was employed, the streamlines indicated that the velocity vector was divided into two parts. The straw substrate was well dispersed in the zone above the blades, but partially dispersed in the zone below the blades. This meant that the straw substrate could not be mixed well in the whole digester with the DFB at the stirring rate of 80 rpm. The distribution of the solid fraction can directly reflect the mixing efficiency in the digester. As shown in Fig. 2b, the volume fraction of the solid phase varied from 0 to 1 as the color changed from blue to red. The higher volume fraction of the solid phase meant better mixing performance. The substrate accumulation zone at the top and the no-substrate zone at the bottom were observed in the digester with three types of blade. As a solid–liquid flow, the solid suspension in the digester strongly depends on the velocity profiles and turbulence intensity [27]. In this work, the impellers ran at a lower stirring rate with only a single-layer blade, which may cause incomplete mixing in the digester. However, the areas of such two Table 1 Characteristics of raw rice straw and the seed sludge (in percent, dry basis) TS VS Ash TC TKN Cellulose Hemicellulose Lignin Rice straw 95.5 82.0 13.4 40.7 0.8 34.0 27.7 7.1 Seed sludge 5.6 3.2 2.3 31.2 2.4 N/A N/A N/A TS total solid, VS volatile solid, TC total carbon, TKN total Kjeldahl nitrogen, N/A not available Appl Biochem Biotechnol (2013) 171:626–642 633 a m·s-1 Pitched blade High efficiency blade Disc-mounted flat blade Pitched blade High efficiency blade Disc-mounted flat blade b Fig. 2 a Velocity vectors and b volume fraction of the solid phase at different types of blade on the Y–Z plane. Left pitched blade, middle high efficiency blade, right disc-mounted flat blade zones with the PB were obviously smaller than those of the other two blades, implying better mixing performances with the PB. Furthermore, the PBs are often used in a variety of process operations because of the strong axial flow component, especially for the mixing of suspension substrates [27]. Therefore, the PB was selected for the subsequent work. Mixing Performances with Different Numbers of Impellers As stated previously, the solid phase accumulation zone appeared in all digesters with a single impeller. Increasing the number of impellers could change the flow pattern, generating an even stronger axial recirculation loop and consequently improving the mixing performances [27, 28]. The velocity vectors and the distributions of the volume fraction of the solid phase on the Y–Z plane are presented in Fig. 3. Based on the velocity vectors on the Y–Z plane, it was found that the flow velocity varied in range of 0–0.36 m s−1 with the single and double impellers at 80 rpm. When triple impellers were employed at 80 rpm with the same speed, the flow velocity varied from 0 to 0.44 m s−1. Moreover, it was observed that substrate particles moved from the top to the bottom of the digester and the axial flow was easily achieved with three types of impellers. 634 Appl Biochem Biotechnol (2013) 171:626–642 a m·s-1 Single impeller Double impellers Triple impellers b Single impeller Double impellers Triple impellers Fig. 3 a Velocity vectors and b volume fraction of the solid phase at different numbers of impellers (Y–Z plane). Left single impeller, middle double impellers, right triple impellers The substrate circle flow (see the black lines in Fig. 3a) in the digester with the double impellers was significantly smaller than that of the single impeller, and the flow circle even disappeared when triple impellers were employed. As a result, the presence of the upper impellers had a significant impact on the axial flow throughout the digester [27]. As presented in Fig. 3b, the substrate accumulation zone at the top and the no-substrate zone at the bottom can be obviously observed with the single impeller, while their distribution in the digester was significantly reduced when double impellers were employed. The volume fraction of the solid phase in the digester with triple impellers was well distributed, which meant that better mixing performance was achieved. These results indicated that increasing the number of impellers could significantly improve the mixing performances, and triple impellers could be recommended for the mixing of rice straw in the anaerobic digester. Appl Biochem Biotechnol (2013) 171:626–642 635 a m·s-1 (A) 20 rev.·min-1 (B) 40 rev.·min-1 (C) 60 rev.·min-1 (D) 80 rev.·min-1 (E) 100 rev.·min-1 (F) 120 rev.·min-1 (G) 140 rev.·min-1 (H) 160 rev.·min-1 (A) 20 rev.·min-1 (B) 40 rev.·min-1 (C) 60 rev.·min-1 (D) 80 rev.·min-1 (E) 100 rev.·min-1 (F) 120 rev.·min-1 (G) 140 rev.·min-1 (H) 160 rev.·min-1 b 636 Appl Biochem Biotechnol (2013) 171:626–642 c m2·s-2 (A) 20 rev.·min-1 (B) 40 rev.·min-1 (C) 60 rev.·min-1 (D) 80 rev.·min-1 (E) 100 rev.·min-1 (F) 120 rev.·min-1 (G) 140 rev.·min-1 (H) rev.·min-1 Fig. 4 (continued) Mixing Performances with the Different Stirring Rates Based on the results from the blade type and simulation of impeller number, triple impellers with PBs were selected for the anaerobic digester of rice straw. CFD computation was completed at different stirring rates from 20 to 160 rpm to determine a suitable string intensity. Figure 4 presents the velocity vectors and the distributions of the solid phase fraction at various stirring rates on the Y–Z plane. It was found that the flow pattern in the digester showed significant difference at different stirring rates. The flow velocities were maintained at the lower levels (<0.3 m s−1) when lower stirring rates (<60 rpm) were applied. The flow velocity was improved to the range of 0.3– 0.5 m s−1 as the stirring rate was increased to 80 rpm. However, the flow velocity could reach over 0.5 m s−1 in some zones of the digesters when the stirring rate was higher than 100 rpm. As reported in the reference, the flow velocity should be lower than 0.5 m s−1 as the municipal solid waste was employed for anaerobic digestion. Otherwise, the sludge structure and the microorganisms would be potentially destroyed, resulting in lower digestion efficiency and biogas production [29]. The obvious substrate accumulation zone at the top and the no-substrate zone at the bottom of digester were found with the stirring rates of 20 and 40 rpm, although triple impellers were used. However, the volume fraction of the solid phase reached 0.3–0.6 and these two zones were significantly reduced as the stirring rate increased to 60 rpm and disappeared completely as stirring rate increased to higher than 80 rpm (Fig. 4b). Fig. 4 a Velocity vectors, b volume fraction of the solid phase (Y–Z plane), and c turbulence kinetic energy contour (X–Z plane) at different stirring rates (A 20 rpm, B 40 rpm, C 60 rpm, D 80 rpm, E 100 rpm, F 120 rpm, G 140 rpm, H 160 rpm) Appl Biochem Biotechnol (2013) 171:626–642 637 Fig. 5 Standard deviation of the solid phase volume fraction at various stirring rates Figure 4c presents the turbulence kinetic energy at different stirring rates, which can reflect the mixing efficiency directly. Generally, the higher the turbulence kinetic energy obtained, the more efficient the mixing achieved. Overall, the turbulence kinetic energy was increased when a higher stirring rate was employed. Moreover, the increase appeared more rapidly in the zones near the stirring impellers than the wall or bottom of the digester. For lower levels of the stirring rate (20–60 rpm), the highest turbulence kinetic energy in the zones near the impellers could be lower than 0.006 m2 s−2. The result implied that the mixing of the upper flow and the bottom flow were not well constructed, and the substrate particles could not be dragged to the bottom with lower stirring rates. For the higher stirring rate of 80 rpm, the turbulence kinetic energy in the digester rose to 0.004–0.012 m2 s−2 and the distribution of the turbulence kinetic energy tended to be more uniform than that of the lower stirring rates. For even higher stirring rates of 120 and 160 rpm, the turbulence kinetic energy was further increased to more than 0.014 and 0.02 m2 s−2, respectively. These results suggested that an appropriate stirring rate is extremely critical; both too low and too high levels would not be beneficial to the efficient digestion and biogas production from rice straw. To further clarify the effect of stirring rate, mixing performances can be characterized by the standard deviation (S) of volume fraction of the solid phase (Eq. 10) in the digester [15, 30]: vffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 2 uX u vi −v t ð10Þ S¼ n Fig. 6 Biogas production at different stirring rates during 70 days digestion. a Daily biogas production, b b cumulative biogas production, c methane content in the biogas. Open squares 40 rpm, open circles 80 rpm, open triangles 120 rpm, open inverted triangles 160 rpm 638 Appl Biochem Biotechnol (2013) 171:626–642 Appl Biochem Biotechnol (2013) 171:626–642 639 Table 2 Degradation rate of main composition in rice straw after digestion Stirring rate (rpm) TS (%) VS (%) Cellulose (%) Hemicellulose (%) Lignin (%) 40 35.4 39.6 71.9 65.2 6.9 80 41.2 47.5 73.9 70.5 7.3 120 38.2 43.5 72.3 68.3 7.2 160 37.0 44.5 72.4 69.5 7.1 where n is the number of sampling locations used for measuring the solid volume fraction, vi is the volume fraction of the solid phase at point i in the digester, and v is the average volume fraction of the solid phase in the digester (0.4 in the current work). The increase in the degree of homogenization (better suspension quality) is generally manifested as the reduction of the standard deviation value. On the basis of the quality of the suspension, the range of the standard deviation is broadly divided into three ranges. For uniform (homogeneous) suspensions, the value of the standard deviation is found to be smaller than 0.2 (S<0.2). For a marginally suspended condition, the value of the standard deviation lies between 0.2 and 0.8 (0.2<S<0.8), and for an incomplete suspension, S>0.8 [31]. As plotted in Fig. 5, the standard deviations were higher than 0.2 as stirring rate was lower than 60 rpm. When stirring rate was enhanced from 80 to 160 rpm, the standard deviations were lower than 0.2, showing no significant decrease. Thus, the stirring rate of 80 rpm can be recommended for the anaerobic digestion of rice straw with loading rate of 65 g TS L−1 when triple impellers were employed with the PB. Anaerobic Digestion Tests According to the results previously discussed, anaerobic digestion with rice straw at different stirring rates (40, 80, 120, and 160 rpm) was performed in the CSTR (Fig. 1a). The stirring frequency was set as 12 times per day, and stirring run lasted 5 min for each time. The total digestion process was maintained for 70 days. The daily biogas production at different stirring rates is presented in Fig. 6a. Three to four peaks of biogas production were observed during the digestion process, which was similar to other agricultural residues such as corn stover [25]. Two days later after inoculation, the first biogas production peaks appeared for all the four employed stirring rates. At this point, the daily biogas production reached 0.6, 8.0, 7.4, and 5.64 L at 40, 80, 120, and 160 rpm, respectively. Biogas production then tended to decrease during the following 3– 4 days, and restarted to increase and finally reached the highest production. The highest biogas production was observed at the 24th, 31st, 31st, and 37th days with the stirring rates of 120, 80, 160, and 40 rpm, respectively. The highest peak of biogas production was 13.6 L day−1 at the Table 3 Comparison of biogas yield and technical digestion time at various stirring rates Stirring TS biogas yield VS biogas yield Digested TS biogas yield Digested VS biogas yield T80 (mL (g VSdigested)−1) (days) rate (rpm) (mL (g TS)−1) (mL (g VS)−1) (mL (g TSdigested)−1) 40 299 348 688 615 66 80 120 370 332 431 386 729 706 632 620 46 49 160 327 381 719 597 46 640 Appl Biochem Biotechnol (2013) 171:626–642 stirring rate of 80 rpm, which was higher than that of other stirring rates by 32.9 % (40 rpm), 22.6 % (120 rpm), and 11.0 % (160 rpm), respectively. Based on the cumulative biogas production at different stirring rates in Fig. 6b, it can be seen that biogas production was accelerated with the increase of stirring rate below 120 rpm, but an obvious retardation was observed as the stirring rate was at 160 rpm. The highest cumulative biogas production of 192.3 L was obtained at the stirring rate of 80 rpm, which was higher than that of other stirring rates by 23.6 % (40 rpm), 11.4 % (120 rpm), and 18.3 % (160 rpm), respectively. The finding clearly indicated an obvious effect of stirring rate on biogas production and also agreed with the results from CFD simulation previously discussed. These results could be explained by the improved mass transfer and interaction of substrate and anaerobic microorganisms, when a suitable mixing state was employed. It was seen clearly that part of the rice straw floated on the surface when mixing was not well performed at the lower stirring rate of 40 rpm, but the rice straw can be evenly dispersed from the surface to the bottom of the digester when higher stirring rates of 80 to 160 rpm were used. Therefore, the stirring rate of 80 rpm was considered to be the best one. Figure 6c shows the methane content profile during the 70-day digestion. The methane content can be used to indicate whether the methanogens dominate the anaerobic digestion, and methane content in biogas is normally higher than 50 % [32]. For four stirring rates, the methane contents all started to increase after inoculation and reached normal levels later. The difference was the time to reach the normal level (more than 50 %). For the stirring rate of 80–160 rpm, it took 15–16 days for methane content to reach above 50 % and maintain in the range of 55–60 % in the following time, but the stirring rate of 40 rpm took 20 days for methane content to reach above 50 %. When the impellers ran at a low rate, the produced organic acid from acidification could not be mixed completely, resulting in acid accumulation. This could inhibit the activity of anaerobic microorganisms, subsequently decreasing the biogas production and methane content. However, higher stirring intensity might potentially disrupt the granule structure, destroy the anaerobic microorganisms by shear force, and shorten the interactions between substrate and microorganisms [13, 33]. These could also adversely affect biogas production. Gómez et al. also stated that moderate stirring could obtain a better biogas production and methane content [12]. To better understand the effect of stirring rate on the biological conversion of substances, the degradation rates of the main composition in rice straw at different stirring rates were investigated (Table 2). When the stirring rate of 80 rpm was applied, the degradation of TS, volatile solid (VS), cellulose, and hemicellulose were higher than the others. It was also found in Table 3 that the biogas yield based on TS (digested TS) and VS (digested VS) reached 370 mL (g TS)−1 (729 mL (g TSdigested)−1) and 431 mL (g VS)−1 (632 mL (g VSdigested)−1), respectively, with 80 rpm, which were all higher than those of other stirring rates. These indicated that better stirring rate can help to achieve a higher composition degradation rate and can result in higher biogas production. This finding also corresponded well to the highest biogas production as mentioned previously. In addition, the technical digestion time (T80) for 80 rpm was 46 days, which was also shorter than that of others. Shorter T80 could potentially reduce the cost of biogas production from the agriculture residues [26, 34]. These data again proved that the simulated results from the CFD method were reliable for the application. Conclusions The results from the CFD simulation indicated that triple impellers with PB at 80 rpm were the best mixing option for efficient anaerobic digestion of rice straw for biogas production. The simulation results agreed well with the experimental results. The highest biogas yield of Appl Biochem Biotechnol (2013) 171:626–642 641 370 mL (g TS)−1 (729 mL (g TSdigested)−1) and 431 mL (g VS)−1 (632 mL (g VSdigested)−1) and the shortest T80 of 46 days could be achieved by employing the CFD simulation results. Acknowledgments We would like to acknowledge the financial support from the National Eleventh FiveYear Research Program of China (2008BADC4B13 and 2008BADC4B14) and the International Cooperation Project between China and USA (2011DFA90800) from the Ministry of Science and Technology of the People’s Republic of China. We would also like to acknowledge the China Postdoctoral Science Foundation (2012M520145). References 1. Raposo, F., De la Rubia, M. 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