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1.
Enhanced technologies from oil recovery to unconventional fuels - oil shale, oil sands and extra-heavy oil – have in common complex chemical reactions processes. This paper is about the formulation and optimization of the chemical mechanism especially in oil shale and semi-coke combustion. The Levenberg–Marquardt algorithm was used to minimize the error between estimated values and the thermogravimetric data for combustion mechanisms of 4-steps and 3-steps proposed for the oil shale and its semi-coke respectively. The kinetic parameters such as reaction order, pre-exponential factor, activation energy and stoichiometric coefficients that affect drying, pyrolysis, oxidation and decarbonation reactions were estimated with success. The values of activation energies were 54–67 kJ mol?1 for oil shale drying, 62–65 kJ mol?1 for pyrolysis reaction, up to 100 kJ mol?1 for Fixed Carbon (FC) oxidation reaction, and 162–418 kJ mol?1 for decarbonation reaction. Regarding to the semi-coke combustion, the activation energies were 33 kJ mol?1 for drying reaction, 211 kJ mol?1 for oxidation reaction and 291 kJ mol?1 for decarbonation reaction. The chemical reactions suggest reaction order superior to one, except to the decarbonation reaction at 3 K min?1. Considering the estimated parameters, as well as a heating rate at 3 K min?1, an oil shale containing about 20 wt.% of organic matter and 34.6 wt.% of CaCO3, the species mass fractions formed during combustion process were 3.4 wt.% of FC, 10.6 wt.% of Oil, 3.3 wt.% of HC and 1.8 wt.% of CO. The fraction of CO2 formed accounts a total of 21.6 wt.%. For a semi-coke containing 3.4 wt.% of FC and 40.6 wt.% of CaCO3, its combustion formed 2.1 wt.% of CO. The CO2 fraction from oxidation and decarbonation reactions accounts 10.2 wt.%, considering that the stoichiometric mass coefficient γ = 0.75 in decarbonation reaction.  相似文献   

2.
For meeting the increasing demand of energy, biohydrogen production is to be considered in higher yield. Biohydrogen can be produced both by dark and photofermentative process. In this study, the photofermentative pathway is followed by using dl malic acid (IUPAC name: 2-hydroxybutanedioic acid, molecular weight: 134.08744 g mol?1, molecular formula: C4H6O5) as carbon source. Pure strain of purple non-sulfur (PNS) bacteria: Rhodobacter sphaeroides strain O.U.001 was studied to produce biohydrogen using the photobioreactor. The photobioreactor was constructed aiming the uniform light distribution. The objective of this study was to investigate the performance of 1 L annular photobioreactor operating in indoor conditions. The highest rate of hydrogen production was obtained at 92 h. In the designed photobioreactor, using Rhodobacter sphaeroides strain O.U.001 (initial dl malic acid concentration of 2.01 g L?1) at an initial pH of 6.8 ± 0.2, temperature 32 ± 2 °C, inoculum volume 10% (v/v), inoculum age of 48 h, 250 rpm (rotation per minute) stirring and light intensity of 15 ± 1.1 W m?2, the average H2 production rate was about 6.5 ± 0.1 mL H2 h?1 L?1 media and yield 4.5 ± 0.05 mol of H2 mol?1 of dl malic acid. Luedeking–Piret model was applied for the data fitting to determine the relationship between the cell growth and photofermentative hydrogen production. The photofermentative hydrogen production by this PNS bacterium was found to be microbial mixed growth associated function.  相似文献   

3.
Pyrolysis of three butene isomers (C4H8) including 1-butene (1-C4H8), 2-butene (2-C4H8) and i-butene (iC4H8) were studied from 900 to 1900 K at low pressure. Synchrotron vacuum ultraviolet (VUV) photoionization mass spectrometry with molecular-beam sampling technique was used for isomeric identification of products and intermediates and also for concentration measurement. Based on the experimental results, a kinetic model consisting of 76 species and 232 reactions was developed to simulate mole fractions of species. The mole fraction profiles of pyrolysis species predicted by the model are in good agreement with the experimental measurements. The decomposition pathways of C4H8 are illustrated according to the reaction flux analysis. Our analysis demonstrates that reaction sequences 1-C4H8  aC3H5  aC3H4  pC3H4  C2H2, 2-C4H8  saxC4H7  1,3-C4H6  C2H3  C2H2 and iC4H8  iC4H7  aC3H4  pC3H4  C2H2 are the major decomposition pathways of 1-butene, 2-butene and i-butene, respectively.  相似文献   

4.
《Journal of power sources》2006,158(2):1348-1357
Steam and autothermal reforming reactions of LPG (propane/butane) over high surface area CeO2 (CeO2 (HSA)) synthesized by a surfactant-assisted approach were studied under solid oxide fuel cell (SOFC) operating conditions. The catalyst provides significantly higher reforming reactivity and excellent resistance toward carbon deposition compared to the conventional Ni/Al2O3. These benefits of CeO2 are due to the redox property of this material. During the reforming process, the gas–solid reactions between the hydrocarbons present in the system (i.e. C4H10, C3H8, C2H6, C2H4, and CH4) and the lattice oxygen (OOx) take place on the ceria surface. The reactions of these adsorbed surface hydrocarbons with the lattice oxygen (CnHm + OOx  nCO + m/2(H2) + VO + 2e′) can produce synthesis gas (CO and H2) and also prevent the formation of carbon species from hydrocarbons decomposition reactions (CnHm  nC + 2mH2). Afterwards, the lattice oxygen (OOx) can be regenerated by reaction with the steam present in the system (H2O + VO + 2e′  OOx + H2). It should be noted that VO denotes as an oxygen vacancy with an effective charge 2+.At 900 °C, the main products from steam reforming over CeO2 (HSA) were H2, CO, CO2, and CH4 with a small amount of C2H4. The addition of oxygen in autothermal reforming was found to reduce the degree of carbon deposition and improve product selectivities by completely eliminating C2H4 formation. The major consideration in the autothermal reforming operation is the O2/LPG (O/C molar ratio) ratio, as the presence of a too high oxygen concentration could oxidize the hydrogen and carbon monoxide produced from the steam reforming. A suitable O/C molar ratio for autothermal reforming of CeO2 (HSA) was 0.6.  相似文献   

5.
The structure, the thermal expansion coefficient, electrical conductivities of Ce0.8Gd0.2?xMxO2?δ (for M: Bi, x = 0–0.1, and for M: Sm, La, and Nd, x = 0.02) solid solutions, prepared for the first time hydrothermally, are investigated. The uniformly small particle size (28–59 nm) of the materials allows sintering of the samples into highly dense ceramic pellets at 1300–1400 °C. The maximum conductivity, σ700 °C around 4.46 × 10?2 S cm?1 with Ea = 0.52 eV, is found at x = 0.1 for Bi-co-doping. Among various metal-co-dopings, for x = 0.02, the maximum conductivity, σ700 °C around 2.88 × 10?2 S cm?1 with Ea = 0.67 eV, is found for Sm-co-doping. The electrolytic domain boundary (EDB) of Ce0.8Gd0.1Bi0.1O2?δ is found to be 1.2 × 10?19 atm, which is relatively lower than that of the singly doped samples. The thermal expansion coefficients, determined from high-temperature X-ray data are 11.6 × 10?6 K?1 for the CeO2, 12.1 × 10?6 K?1 for Ce0.8Gd0.2O2?δ, and increase with co-doping to 14.2 × 10?6 K?1 for Ce0.8Gd0.18Bi0.02O2?δ. The maximum power densities for the single cell based on the codoped samples are higher than that of the singly doped sample. These results suggest that co-doping can further improve the electrical performance of ceria-based electrolytes.  相似文献   

6.
Thermal transport and transient dispersion of pollutants emitted from two discrete strips within the displacement ventilation enclosure have been modeled numerically. Following the full numerical simulation of turbulent air flows, the inverse determinations of multiple pollutant sources were conducted by the use of quasi reversibility methodology. Direct simulation together with the turbulent streamlines and turbulent heatlines demonstrate that the enclosure flow pattern, enclosure air thermal level and heat transfer potential will depend on the interactions of external forced flow and thermal buoyancy driven flows, i.e., Reynolds number (2 × 103 ? Re ? 104) and Grashof number (106 ? Gr ? 1010). In subsequent forward time and backward time modeling of airborne pollutant transports, temporal evolutions of enclosure average concentration and pollutant exhaust are shown to depend on the supplying velocity (Re), thermal plume (Gr), pollutant diffusivity (0.1 ? Sc ? 2), and the pitch between both sources (0.2H ? dPSL = dPSR ? 0.7H). Reverse time modeling of airborne spread has demonstrated that increasing the spread rate and the concentration sensitivity of airborne pollutants will facilitate the identification of pollutant sources.  相似文献   

7.
We investigated the anodic Pt dissolution in concentrated trifluoromethanesulfonic acid (TFMSA). The dependence of the Pt dissolution rate on the TFMSA concentration was first measured from the weight difference of a Pt-flag electrode before and after successive potential cycles. From this measurement, the Pt dissolution rate in 10 mol dm?3 TFMSA is found to be over 40 times greater than those in 1 and 4 mol dm?3 TFMSA. Next, the anodic Pt dissolution was assessed in 10 mol dm?3 TFMSA by a potential step technique using a Pt dual microelectrode having generator and collector electrodes. The obtained result shows that the anodic Pt dissolution in 10 mol dm?3 TFMSA occurs when the Pt generator electrode potential is stepped from 0.25 to 1.0–2.0 V vs. Ag/Ag2SO4. Furthermore, the absolute steady-state current-based coulomb charges obtained at the generator (|QG|) and collector (|QC|) reflect the anodic Pt dissolution and the reduction of the dissolved Pt, respectively. The magnitude of |QG| and |QC| linearly increase when the generator potential shifts from 1.0 to 2.0 V vs. Ag/Ag2SO4. The absolute ratio, |QC/QG|, also gradually increases according to the shift in the generator electrode potential. These results demonstrate that the anodic Pt dissolution in 10 mol dm?3 TFMSA occurs at ≥1.0 V vs. Ag/Ag2SO4 and that the ratio of the anodic Pt dissolution per total reaction charges increases according to the positive shift of the Pt electrode potential.  相似文献   

8.
The influence of aspect ratio and shear-dependent viscosity on free convection heat transfer from a horizontal heated elliptic cylinder in power-law fluids has been investigated. In particular, the coupled momentum and energy equations have been solved numerically over the following ranges of conditions: Grashof number, 10 ? Gr ? 105; Prandtl number, 0.72 ? Pr ? 100; power-law index, 0.3 ? n ? 1.5 and aspect ratio, 0.2 ? E ? 5. The new extensive results demonstrate the influence of the Grashof number (Gr), Prandtl number (Pr), power-law index (n) and aspect ratio (E) on the macroscopic heat and momentum transfer characteristics like local and average values of Nusselt number (Nu) and drag coefficients (CD). Further insights are developed by examining the structure of the flow and temperature fields adjacent to the cylinder. Broadly speaking, all else being equal, shear- thinning fluid behaviour promotes heat transfer whereas shear-thickening viscosity has a deleterious effect on it with reference to that in Newtonian fluids. Also, the rate of heat transfer gradually increases as the cylinder shape passes from blunt to slender with respect to the direction of gravity. Finally, the present numerical values of the Nusselt number are correlated using a simple analytical form which facilitates interpolation of the present results for the intermediate values of the governing parameters. The paper is concluded by presenting detailed comparisons with the previous numerical and experimental results available in the literature, especially in Newtonian fluids.  相似文献   

9.
Natural convection in a two-dimensional square cavity containing hydrodynamically and thermally anisotropic porous medium with internal heat generation is analyzed numerically by generalized non-Darcy approach. The properties considered for the study are permeability ratio (K1), inclination of the principal axes (θ), ratio of Forchheimer constants (F1) and thermal conductivity ratio (k1). Results are presented in terms of isotherms, streamlines and maximum temperature in the cavity to understand the flow physics. It is observed that the anisotropic properties have significant influence on the flow behaviour and heat transfer. A correlation for maximum temperature in the cavity for a wide range of parameters (107 ? Ra ? 108, 10?6 ? Da ? 10?3, 0° ? θ ? 90°, 1 ? F1 ? 100, 0.1 ? K1 ? 10 and 0.1 ? k1 ? 10) is developed.  相似文献   

10.
Natural convection in trapezoidal cavities, especially those with two internal baffles in conjunction with an insulated floor, inclined top surface, and isothermal left-heated and isothermal right-cooled vertical walls, has been investigated numerically using the Element based Finite Volume Method (EbFVM). In numerical simulations, the effect of three inclination angles of the upper surface as well as the effect of the Rayleigh number (Ra), the Prandtl number (Pr), and the baffle’s height (Hb) on the stream functions, temperature profiles, and local and average Nusselt numbers has been investigated. A parametric study was performed for a wide range of Ra numbers (103 ? Ra ? 106) Hb heights (Hb = H1/3, 2H1/3, and H1), Pr numbers (Pr = 0.7, 10 and 130), and top angle (θ) ranges from 10 to 20. A correlation for the average Nusselt number in terms of Pr and Ra numbers, and the inclination of the upper surface of the cavity is proposed for each baffle height investigated.  相似文献   

11.
Thermodynamic equilibrium of methanol steam reforming (MeOH SR) was studied by Gibbs free minimization for hydrogen production as a function of steam-to-carbon ratio (S/C = 0–10), reforming temperature (25–1000 °C), pressure (0.5–3 atm), and product species. The chemical species considered were methanol, water, hydrogen, carbon dioxide, carbon monoxide, carbon (graphite), methane, ethane, propane, i-butane, n-butane, ethanol, propanol, i-butanol, n-butanol, and dimethyl ether (DME). Coke-formed and coke-free regions were also determined as a function of S/C ratio.Based upon a compound basis set MeOH, CO2, CO, H2 and H2O, complete conversion of MeOH was attained at S/C = 1 when the temperature was higher than 200 °C at atmospheric pressure. The concentration and yield of hydrogen could be achieved at almost 75% on a dry basis and 100%, respectively. From the reforming efficiency, the operating condition was optimized for the temperature range of 100–225 °C, S/C range of 1.5–3, and pressure at 1 atm. The calculation indicated that the reforming condition required from sufficient CO concentration (<10 ppm) for polymer electrolyte fuel cell application is too severe for the existing catalysts (Tr = 50 °C and S/C = 4–5). Only methane and coke thermodynamically coexist with H2O, H2, CO, and CO2, while C2H6, C3H8, i-C4H10, n-C4H10, CH3OH, C2H5OH, C3H7OH, i-C4H9OH, n-C4H9OH, and C2H6O were suppressed at essentially zero. The temperatures for coke-free region decreased with increase in S/C ratios. The impact of pressure was negligible upon the complete conversion of MeOH.  相似文献   

12.
An experimental study of toluene pyrolysis (1.24 vol.% toluene in argon) was performed at low pressure (1.33 kPa) in the temperature range of 1200–1800 K. The pyrolysis process was detected with the tunable synchrotron vacuum ultraviolet (VUV) photoionization and molecular-beam mass spectrometry (MBMS). Species up to m/z = 202 (C16H10), containing many radicals (CH3, C3H3, C5H3, C5H5, C7H5, C7H7, C9H7, C11H7 and C13H9) and isomers, such as C3H4 (propyne and allene), C4H4 (vinylacetylene and 1,2,3-butatriene), C5H5 (cyclopentadienyl radical and pent-1-en-4-yn-3-yl radical), C6H4 (3-hexene-1,5-diyne and benzyne), C6H6 (benzene and fulvene), C7H8 (toluene and 5-methylene-1,3-cyclohexadiene) and so on, were identified from near-threshold measurements of photoionization mass spectra, and the mole fraction profiles of the pyrolysis products were evaluated from measurements of temperature scan. Experimental results indicate that the reaction C7H8  C7H7 and the subsequent reactions are dominant at comparatively low temperature (<1440 K), while the reaction C7H8  C6H5 and subsequent reactions gradually become competitive and important with increasing temperature. Furthermore the barriers of the decomposition pathways of toluene and benzyl radical determined by quantum mechanical calculation are in good agreement with the initial formation temperatures of the species. Based on the mole fractions and formation temperatures of the detected pyrolysis species, a simple reaction network is deduced. At relatively high temperatures, H-abstraction is prevalent and the mole fraction of C2H2 is so high that many aromatics are formed through the hydrogen-abstraction/C2H2-addition (HACA) mechanism. Moreover the reactions of benzyl with toluene/benzyl/phenyl/propargyl radicals to directly produce larger aromatics should play an influential role in PAH formation. Meanwhile the five-member-ring recombination mechanism also plays an indispensable role in the aromatics growth, as cyclopentadienyl radical (C5H5) was determined to be a major product of the decomposition of toluene.  相似文献   

13.
High-temperature 3-pentanone pyrolysis and oxidation studies were performed behind reflected shock waves using laser-based species time-history measurements (3-pentanone, CH3, CO, C2H4, OH and H2O) and ignition delay time measurements. The overall 3-pentanone decomposition rate coefficient was inferred from the measured 3-pentanone and CH3 time-histories during pyrolysis at temperatures of 1070–1530 K and a pressure of 1.6 atm., and yielded a mathematical expression for ktot = 4.383 × 1049 T?10 exp(?44,780/T) s?1 with an uncertainty of ±35% over 1070–1330 K. The measured species time-histories and ignition delay times were also compared to simulations from a detailed kinetic mechanism of Serinyel et al. (2010) [14]. The measured ktot was approximately 3.5 times faster than the value used by Serinyel et al. Additionally, the absence of a methyl ketene decomposition reaction was identified as the cause of a deficiency in the O-atom balance of the measured 3-pentanone and CO time-histories. Using the revised overall 3-pentanone decomposition rate coefficient and an additional methyl ketene decomposition pathway, the modified mechanism was able to successfully simulate all six species time-histories, and showed a significant improvement in the predictions of ignition delay times. Finally, a comparison of ignition delay times and OH species time-histories during 3-pentanone, 2-pentanone and acetone oxidation found that 3-pentanone was the most reactive of the three ketones.  相似文献   

14.
An investigation of the flow field and heat transfer characteristics of a slot turbulent jet impinging on a semi-circular concave surface with uniform heat flux has been carried out numerically in this study. The turbulent governing equations are solved by a control-volume-based finite-difference method with a power-law scheme and the well-known kε turbulence model and its associate wall function to describe the turbulent structure. In addition, a body-fitted curvilinear coordinate system is employed to transform the physical domain into a computational domain.Numerical computations have been conducted with variations of jet exit Reynolds number Re2B (5920 ? Re2B ? 23,700), dimensionless jet-to-surface distance H/B (0.5 ? H/B ? 12), dimensionless jet width B/D (0.033 ? B/D ? 0.05) and the heat flux q″ (1663 W/m2 ? q ? 5663 W/m2). The theoretical model developed is validated by comparing the numerical predictions with available experimental data in the literature. The variations of local Nusselt numbers along the semi-circular concave surface decrease monotonically from its maximum value at the stagnation point. The numerical results show that the local Nusselt numbers are reasonably predicted with a maximum discrepancy within 15%. As the Reynolds number fixes, the effect of the impingement distance (H/B) on the average Nusselt (Nuavg) is not significant except at low H/B = 0.5. This study provides fundamental insight into turbulent slot jet impingement cooling on the semi-circular concave surface.  相似文献   

15.
The influence of organic loading rates (OLRs) on the performance of fermentative hydrogen-producing bioreactors operating in continuous stirred tank reactor (CSTR) and membrane bioreactor (MBR) modes was examined. Five OLRs were examined, ranging from 4.0 to 30 g COD L?1 d?1, with influent glucose concentrations ranging from 1.3 to 10 g COD L?1. At OLRs up to 13 g COD L?1 d?1, all influent glucose was utilized and the H2 yield was not significantly influenced by OLR, although the yield in the CSTR mode was significantly higher than that in the MBR mode, 1.25 versus 0.97 mol H2 (mol Gluc. Conv.)?1, respectively. At an OLR of 30 g COD L?1 d?1, both reactor modes were overloaded with respect to glucose utilization and also had significantly higher H2 yields of 1.77 and 1.49 mol H2 (mol Gluc. Conv.)?1 for the CSTR and MBR modes, respectively, versus the underloaded operation. At the intermediate OLR of 22 g COD L?1 d?1, the H2 yield was maximized at 1.78 mol H2 (mol Gluc. Conv.)?1 for both the CSTR and MBR operation. Overall H2 production was 50% higher in the MBR mode, 0.78 versus 0.51 moles d?1, because the CSTR mode was overloaded with respect to glucose utilization at this OLR. These results suggest that an optimum OLR that maximizes H2 yield and H2 production may be near the OLR that causes overload with respect to substrate utilization. Additionally, while the CSTR mode is easier to operate and provides higher H2 yields at underloaded and overloaded OLRs, the MBR mode may be preferable when operating near the optimum OLR.  相似文献   

16.
The partitioning and quality of aboveground biomass have important ramifications for crop management and biomass conversion. In preliminary studies, Saccharum sp. × Miscanthus sp. hybrids exhibited stubble cold tolerance in west-central Arkansas, unlike Saccharum sp. × Saccharum spontaneum hybrids. The objective was to examine foliar and stem quality of the C4 grasses Miscanthus sinensis (‘Gracillimus’), Miscanthus x giganteus (Q42641, proprietary), Panicum virgatum (‘Alamo’), and two F1 hybrids of Saccharum sp. × Miscanthus sp. (US84-1028 and US84-1058) in a field study during 2004 (plant cane) and 2005 (first stubble) near Booneville, AR. Switchgrass produced more stems m?2 than the other entries both years, and there was little difference in stem number among other entries. Clone US84-1028 yielded more dry mass m?2 than other entries in plant cane, while switchgrass, US84-1028, and M. x giganteus did not differ in first stubble. Clone US84-1028 also had more stem dry mass and leaf dry mass than other entries both yr. Tissue N concentrations were low for these entries, but leaves contained about twice the N of stems (≤15.2 and 7.8 g kg?1, respectively). Leaves represented as much as one-third of total biomass, and had large cellulose (≤482 g kg?1) and lignin (167 g kg?1) concentrations. The competitively high biomass yield of this small sample of sugarcane alleles should encourage the expansion of the crop beyond its current production regions. Sugarcane and M. x giganteus should be examined in higher-input temperate systems because of their bioenergy potential.  相似文献   

17.
18.
Bio-hydrogen production by combined dark and light fermentation of ground wheat starch was investigated using fed-batch operation. Serum bottles containing heat-treated anaerobic sludge and a mixture of Rhodobacter sp. was fed with a medium containing 20 g dm?3 wheat powder (WP) at a constant flow rate. The system was operated at different initial dark/light biomass ratios (D/L). The optimum D/L ratio was 1/2 yielding the highest cumulative hydrogen (1548 cm3), yield (65.2 cm3 g?1 starch), and specific hydrogen production rate (5.18 cm3 g?1 h?1). Light fermentation alone yielded higher hydrogen production than dark fermentation due to fermentation of volatile fatty acids (VFAs) to H2 and CO2. The lowest hydrogen formation was obtained with D/L ratio of 1/1 due to accumulation of VFAs in the medium.  相似文献   

19.
Mixed convection heat transfer from longitudinal fins inside a horizontal channel has been investigated for a wide range of modified Rayleigh numbers and different fin heights and spacings. An experimental parametric study was made to investigate effects of fin spacing, fin height and magnitude of heat flux on mixed convection heat transfer from rectangular fin arrays heated from below in a horizontal channel. The optimum fin spacing to obtain maximum heat transfer has also been investigated. During the experiments constant heat flux boundary condition was realized and air was used as the working fluid. The velocity of fluid entering channel was kept nearly constant (0.15 ? win ? 0.16 m/s) using a flow rate control valve so that Reynolds number was always about Re = 1500. Experiments were conducted for modified Rayleigh numbers 3 × 107 < Ra1 < 8 × 108 and Richardson number 0.4 < Ri < 5. Dimensionless fin spacing was varied from S/H = 0.04 to S/H = 0.018 and fin height was varied from Hf/H = 0.25 to Hf/H = 0.80. For mixed convection heat transfer, the results obtained from experimental study show that the optimum fin spacing which yields the maximum heat transfer is S = 8–9 mm and optimum fin spacing depends on the value of Ra1.  相似文献   

20.
This work studied the thermal convection under various slip boundary conditions in a 2D box with aspect ratio equal to two. The slip parameter is the normalized tangential momentum accommodation coefficient (TMAC, 0 ? σ ? 1). The results show that the slip boundary conditions of vertical side walls (σv) and horizontal plates (σh) will affect the pattern selections of the flow and temperature fields. When σh < 0.02, the pattern is the one-roll mode for all σv. When σh ? 0.02 and σv ? 0.1, the fluids prefer the two-roll mode where two rolls make the fluids to move upwards in the middle of the box. While σh ? 0.02 and σv ? 0.2, the fluids prefer the other two-roll mode which makes the fluid to move downwards in the middle of the box.  相似文献   

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