Total Outflow Rate Research Articles

Trajectory tracking of two-stage anaerobic digestion process: A predictive control with guaranteed performance and saturated input, based on ultra-local model

To address the robust output feedback tracking problem for total outflow rate of two-stage anaerobic digestion (AD) process with input saturation, a novel performance guaranteed ultra-local model (ULM)-based predictive control (PG-ULMPC) is proposed. First, model of the two-stage AD process is considered which presents the characteristics of the production rate of hydrogen and methane. Then, a new control strategy is developed, which relies only on input/output data and does not require any model knowledge of two-stage AD process. Based on ULM, the designed PG-ULMPC strategy consists of time-delay estimation (TDE), prescribed performance function (PPF) as well as predictive control using feedback correction (FC). The ULM is utilized to approximate the complex model of two-stage AD process in a short sliding time window and simplify controller design. The TDE is employed to estimate the lumped disturbance. The PPF guarantees that the tracking error is limited within the performance bounds whose convergence time and precision can be artificially preset. The predictive control using FC stabilizes the closed-loop system and provides saturated control input. To demonstrate the PG-ULMPC performances, numerical simulations of two-stage AD process in presence of unknown parameter disturbances with nonlinear Proportional–Integral (PI) controller, with ULMPC and with PG-ULMPC are realized by using Matlab/Simulink. The obtained results illustrate the better performance of the proposed PG-ULMPC strategy. Moreover, under the measurement noise, by using filtered derivative technique, the proposed method can still achieve satisfactory performance and has little control chattering.

Charts for free surfaces in steady-state seepage flow through homogeneous isotropic rectangular dams

• A state-of-the-art review of the celebrated Polubarinova-Kochina solution. • A complete set of parametric equations of the boundary values for the flow problem. • A random search algorithm to find the two unknown parameters in elliptic integrals. • Comprehensive nondimensional graphical results of the free-surface profiles. • An explanation of the paradox between expected and visualized entry/exit angles. Locating the free surface in steady-state seepage flow through a homogeneous isotropic rectangular dam is a well-posed free-boundary problem. It has often been used as a benchmark problem to validate sophisticated numerical schemes developed for solving more complex seepage problems encountered in groundwater hydrology. This problem has been solved analytically using the hodograph method and the conformal mapping technique. However, very few explicit results are available on free-surface profiles, primarily owing to mathematical complexities and computational implementation difficulties. To ameliorate this situation and enhance the practical value of the analytical solution to the benchmark problem, this paper presents charts for determining the free-surface profiles in rectangular dams. The charts are created based on the celebrated Polubarinova-Kochina analytical solution, which consists of a set of parametric equations involving elliptic integrals with two unknown parameters, namely α and β , that characterize the relative positions of boundary singular points in the hodograph plane. An efficient random search algorithm is developed and used to find the values of these two parameters and, hence, locate the free-surface profiles for a wide range of dam widths and headwater and tailwater levels. These results are well organized and plotted in charts for ease of use. The accuracies of the proposed algorithm and chart for the two parameters are verified by comparing the computed results of the total outflow rates with those calculated using an exact closed-form formula. The algorithm and charts proposed for the free-surface profiles are validated with the results available in the literature. Moreover, the angle between the line tangent to the free surface and the horizontal direction is shown to change abruptly at its entry and exit points. This finding offers an explanation of the paradox between the theoretically expected and graphically observed values of the entry or exit angle of the free surface.

Well placement optimization for large-scale geothermal energy exploitation considering nature hydro-thermal processes in the Gonghe Basin, China

Doublet well system composed by extraction and injection wells is widely used for heat production from deep geothermal reservoirs. The large-scale implementation of doublet well systems lead to hydro-thermal interaction with the natural hydro-thermal flow system; this affects heat production efficiency and sustainable management of geothermal energy and groundwater resources. However, the interaction between artificial operations and nature hydro-thermal status was seldom considered in the well placement optimization. In this study, the natural status of hydro-thermal flow was determined by fitting numerical modeling output to the groundwater level and temperature observations, in a realistic site of the Gonghe Basin, China. The well separation and relative position were then optimized against background water flow direction. It was found that a well separation of 1200 m with the injection well located upstream (south) to the extraction well can maximize the volume of injected water entering extraction well, without influence on the outflow temperature. Based on this finding, we further compared the effects of “extensive well placement” where the wells were located sparsely in entire geothermal field, and “intensive well placement” where the wells were located centrally in a local region. The calculation showed that the performance of intensive well placement was superior to extensive well placement with higher outflow temperature and lower interruption in groundwater levels. Further optimization of intensive well placement resulted in the outflow temperature higher than 92 °C under the total outflow rate of 30,000 m3/d for 30 years, and the groundwater level changes can be controlled below 6.0 m. The multiple-step well placement optimization approach and novel intensive heat production mode regarding nature status of hydro-thermal flow in geothermal reservoirs, provides important reference to the other geothermal field for large-scale geothermal exploitation.

Observational constraints on the multiphase nature of outflows using large spectroscopic surveys at z ∼ 0

ABSTRACT Mass outflow rates and loading factors are typically used to infer the quenching potential of galactic-scale outflows. However, these generally rely on observations of a single gas phase that can severely underestimate the total ejected gas mass. To address this, we use observations of high mass (≥1010 M⊙), normal star-forming galaxies at z ∼ 0 from the MaNGA, xCOLD GASS, xGASS, and ALFALFA surveys and a stacking of Na d, Hα, CO(1–0), and H i 21 cm tracers with the aim of placing constraints on an average, total mass outflow rate, and loading factor. We find detections of outflows in both neutral and ionized gas tracers, with no detections in stacks of molecular or atomic gas emission. Modelling of the outflow components reveals velocities of |vNa d| = 131 km s−1 and |vHα| = 439 km s−1 and outflow rates of $\dot{M}_{\rm {Na\,\small{D}}}$ = 7.55 M⊙ yr−1 and $\dot{M}_{\text{H}\alpha }$ = 0.10 M⊙ yr−1 for neutral and ionized gas, respectively. Assuming a molecular/atomic outflow velocity of 200 km s−1, we derive upper limits of $\dot{M}_{\text{CO}}\lt 19.43$ M⊙ yr−1 and $\dot{M}_{\rm {H\,\small {I}}}\lt $ 26.72 M⊙ yr−1 for the molecular and atomic gas, respectively. Combining the detections and upper limits, we find average total outflow rates of $\dot{M}_{\text{tot}}\lesssim$27 M⊙ yr−1 and a loading factor of ηtot ≲ 6.39, with molecular gas likely contributing ≲72 per cent of the total mass outflow rate, and neutral and ionized gas contributing ∼28 and <1 per cent, respectively. Our results suggest that, to first order, a degree of quenching via ejective feedback could occur in normal galaxies when considering all gas phases, even in the absence of an active galactic nucleus.

Multiphase Gas Flows in the Nearby Seyfert Galaxy ESO428–G014. Paper I

Abstract We present ALMA 230 GHz continuum and CO(2–1) observations of the nearby Compton-thick Seyfert galaxy ESO428–G14, with angular resolution 0.″7 (78 pc). CO(2–1) is distributed in clumpy spiral arms, a lopsided circumnuclear ring (CNR) with ∼200 pc radius, and a transverse gas lane with size <100 pc, which crosses the nucleus and connects the two portions of the CNR. The main CO velocity gradient is consistent with a rotating disk with dynamical mass M dyn = 5 × 109 M ⊙ within ∼1 kpc. We detect off-plane gas motions with respect to the main disk plane which likely trace a molecular outflow with rate , along a biconical structure with radius 700 pc. The CO outflow smoothly joins the warm molecular outflow detected in SINFONI/Very Large Telescope data in the central 170 pc, suggesting that the outflow may cool with increasing distance. Our dynamical modeling of the inner 100 pc region suggests a warped disk or bar, and of fast gas streams which may trace an inflow toward the AGN. The inner warped disk overlaps with the most obscured, CT region seen in X-rays. There, we derive a column density , suggesting that molecular gas may contribute significantly to the AGN obscuration. Most of the hard X-ray emitting nuclear region is deprived of cold molecular gas and shows a CO-cavity. The CO-cavity is filled with warm molecular gas traced by H2, confirming that the 3–6 keV continuum and Fe Kα emission are due to scattering from dense ISM clouds.

Dust in the Wind: Composition and Kinematics of Galaxy Outflows at the Peak Epoch of Star Formation

Abstract Galactic-scale outflows regulate the stellar mass growth and chemical enrichment of galaxies, yet key outflow properties such as the chemical composition and mass-loss rate remain largely unknown. We address these properties with Keck/ESI echellete spectra of nine gravitationally lensed z ≃ 2–3 star-forming galaxies, probing a range of absorption transitions. Interstellar absorption in our sample is dominated by outflowing material with typical velocities of ∼−150 . Approximately 80% of the total column density is associated with a net outflow. Mass-loss rates in the low-ionization phase are comparable to or in excess of the star formation rate, with total outflow rates likely higher when accounting for ionized gas. On the order of half of the heavy element yield from star formation is ejected in the low-ionization phase, confirming that outflows play a critical role in regulating galaxy chemical evolution. Covering fractions vary and are in general non-uniform, with most galaxies having incomplete covering by the low ions across all velocities. Low-ion abundance patterns show remarkably little scatter, revealing a distinct “chemical fingerprint” of outflows. Gas-phase Si/Fe abundances are significantly supersolar ([Si/Fe] ≳ 0.4), indicating a combination of α-enhancement and dust depletion. The derived properties are comparable to the most kinematically broad, metal-rich, and depleted intergalactic absorption systems at similar redshifts, suggesting that these extreme systems are associated with galactic outflows at impact parameters conservatively within a few tens of kiloparsecs. We discuss implications of the abundance patterns in z ≃ 2–3 galaxies and the role of outflows at this epoch.

Influence of ion outflow in coupled geospace simulations: 2. Sawtooth oscillations driven by physics‐based ion outflow

AbstractWe present the first simulations of magnetospheric sawtooth oscillations under steady solar wind conditions that are driven internally by heavy ion outflow from a physics‐based model. The simulations presented use the multifluid Lyon‐Fedder‐Mobarry magnetohydrodynamics model two‐way coupled to the ionosphere/polar wind model (IPWM). Depending on the type of wave‐particle interactions utilized within IPWM, the coupled simulations exhibit either sawtooth oscillations or steady magnetospheric convection. Contrasting the simulations that do and do not develop sawtooth oscillations yields insights into the relationship between outflow and sawtooth oscillations. The total outflow rate is not an adequate predictor of the convection mode that will emerge. The simulations that develop sawtooth oscillations are characterized by intense outflow concentrated in the midnight auroral region. This outflow distribution mass loads the tail reconnection region without excessively mass loading the dayside reconnection region and leads to an imbalance between the dayside and nightside reconnection rates.

A bidirectional valveless piezoelectric micropump with three chambers applying synthetic jet

A new type of valveless piezoelectric micropump is presented. Synthetic jet and Coanda effect are utilized to achieve larger and bidirectional flow rate. The numerical simulation applying the velocity and pressure boundary conditions as well as the SST turbulence model were utilized to research the performance and internal flow state of the micropump. The simulation method was tested by the previous experimental data and the results matched well. The results suggest that the flow rate of the micropump is related to the Reynolds number and frequency. The entrainment flow rate of synthetic jet accounts for over 80% of the total outflow rate. The outflow rate is much larger than the volume change of the micropump chambers. There is an optimal frequency to obtain the maximum flow rate regarding the volume change of the chambers as a constant. The fluctuation of the flow rate decreases with the increase of frequency. When the frequency is higher than 25 Hz, the outflow can be continuous. Working at the Reynolds number of 1000 and optimal frequency of 50 Hz, the flow rate is 6.8 ml/min.

Escape of O+ through the distant tail plasma sheet

In February 2007, the STEREO‐B spacecraft encountered the magnetosheath, plasma sheet and plasma sheet boundary layer from about 200 RE to 300 RE downtail. This time period was during solar minimum, and there was no storm activity during this month. Using data from the PLASTIC instrument, we find that even during quiet times, O+ is a constant feature of the deep magnetotail, with an O+ density of about 15% of the O+ density in the near‐earth plasma sheet for similar conditions. The tailward flux of the O+ is similar to the flux of O+ beams that have been observed in the lobe/mantle region of the deep tail. The total outflow rate of the O+ down the plasma sheet is 1.1 × 1024 ions/s, which is 10% of the total outflow rate of 1 × 1025 ions/s, and of the same order as the estimated loss from dayside transport.

Circumstellar envelopes and Asymptotic Giant Branch stars

Circumstellar envelopes and Asymptotic Giant Branch stars

A continuous day-to-day traffic assignment model and the existence of a continuous dynamic user equilibrium

Suppose that a road network model is given, together with some given demand for travel by (say) car and that the demand for travel varies with time of day but not from day to day. Suppose that this demand is given in the form of specified total outflow rates from each origin headed towards each destination, for each origin-destination pair and for each time of day, and that some initial time-dependent routeinflow rates, meeting the given demand, are given. Finally, suppose that within-day time is represented by a continuous variable. This paper specifies a natural smooth day-to-day route-swapping procedure wherein drivers swap toward less expensive routes as day succeeds day, and shows that under reasonable conditions there is an equilibrium state of this dynamical system. If such a collection of route-inflows has arisen today, say, then there is no incentive for any route-inflow to change tomorrow, in the sense that at each moment of today each of today's route-inflows isalready on a route which today yielded the smallest travel cost. Such a set of “no-incentive-to-change” route-inflows is called adynamic equilibrium, or adynamic user-equilibrium, and may be regarded as a solution of the dynamic equilibrium traffic assignment problem. Thus, the paper introduces a smooth day-to-day dynamic assignment model and, using this model, shows that there is a dynamic user-equilibrium in a continuous time setting. The paper briefly considers the day-to-day stability of the route-swapping process, also in a continuous setting. Finally, the paper gives a simple dynamical example illustrating the stability of the route-swapping process in a simple two-route network when there is deterministic queueing at bottlenecks.

Effect of Feeding Sodium Bicarbonate on Rumen Fermentation and Efficiency of Microbial Protein Synthesis in Buffaloes

Abstract Nangia, O.P. and Sharma, R. 1994. Effect of feeding sodium bicarbonate on rumen fermentation and efficiency of microbial protein synthesis in buffaloes. J. Appl. Anim. Res., 6: 113–120. Three rumen fistulated buffaloes were used to assess the effects of sodium bicarbonate inclusion in their basal diet on rumen water kinetics, rumen fermentation and bacterial protein synthesis. The basal diet consisted of 60% concentrate and40% chopped wheat straw. Sodium bicarbonate increased voluntary water consumption, rumen volume, dilution rate and total outflow rate of rumen. Higher ruminal pH was associated with lower concentration of ruminal TVFA and NH3-N on supplementation with NaHCO3 on one hand and increased blood glucose and microbial protein synthesis in rumen on the other. The total ciliate protozoa population and Entodinia spp. were lower, while Holotrich population was higher in response to sodium bicarbonate. It may be concluded that incorporation of sodium bicarbonate in the diet altered ruminal dilution rate and improved efficiency of microbial protein synthesis.

Sodium fertilizer application to pasture. 3. Rumen dynamics

AbstractThe objective of the present experiment was to examine the effects of 0 (Nil), 32 (Low), 66 (Medium) or 96 (High) kg sodium (Na) ha‐1 yr‐1, applied as fertilizer to zero‐grazed perennial ryegrass pasture, on rumen digestion and feed and water intake of steers. Herbage Na contents increased with increasing Na up to the Medium Na treatment and no further at the High. Dry matter (DM) contents were increased by Na fertilizer but not affected by the level. Herbage crude protein (CP), true protein (TP) and non‐protein nitrogen (NPN) fractions were not affected by treatment. Application of Na fertilizer increased the modified acid detergent fibre (MADF) and ash and total cation content of herbage, particularly at the Medium and High treatments. Faecal DM and TP contents were not affected by treatment, but the CP, NPN, MADF and ash and total cation contents were increased by Na fertilizer. Herbage DM intake increased in proportion to dietary Na content. Water intake increased with increasing Na fertilizer level. Rumen pH was increased by Na fertilizer but ammonia concentration was not affected. The rapidly (a), slowly (b) and potentially (a + b) soluble fractions of degradable DM and the effective degradability (P) of DM increased in direct proportion to amount of Na fertilizer applied up to the Medium level, above which b was reduced and a, a + b and P did not increase further. Solid and total outflow rates were not affected by treatment. Liquid outflow rates were greater in the Medium and High treatments than in the Nil and Low treatments. The immediately soluble fraction of MADF was increased in the Na‐applied treatments but the increase declined with each additional Na level. The degradability of MADF increased with increasing dietary Na, particularly in the High treatment. Na increased the proportion of small particles and those with a high specific gravity. It is suggested that the high dilution rates that accompanied the high water intakes and the increased rumen pH are essential factors enabling increased DM intake and rumen digestion when high Na herbages are fed to steers.

Theoretical Analysis of Two‐Dimensional, Transient Flow of Water in Unsaturated and Partly Unsaturated Soils

AbstractThe Darcian flow‐equation for two‐dimensional, transient transfer of water in rectangular, unsaturated or partly unsaturated soil slabs was solved numerically with the aid of alternating‐directions, implicit difference methods. Two alternative processes were considered: predominantly horizontal infiltration and ditch‐drainage. The results obtained for the horizontal infiltration process indicate that it involves upward flow‐components which are due, primarily, to a gravity‐induced variation in hydraulic conductivity along the inflow face. These components may materially affect the course of infiltration, especially during its earlier stages. The drainage case results demonstrate that transient water flow within the unsaturated zone and the outflow from the seepage zone may significantly affect the progress of water‐table descent and the total outflow rates.