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Research and Application Progress of Intraocular Lens Power Calculation Formulas in the Era of Refractive Cataract Surgery
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作者 Bowei Liang Jinhua Wang +1 位作者 Yao Chen Pan Liu 《Journal of Biosciences and Medicines》 2025年第2期348-356,共9页
As cataract surgery progresses from “restoration of sight” to “refractive correction”, precise prediction of intraocular lens (IOL) power is critical for enhancing postoperative visual quality in patients. IOL pow... As cataract surgery progresses from “restoration of sight” to “refractive correction”, precise prediction of intraocular lens (IOL) power is critical for enhancing postoperative visual quality in patients. IOL power calculation methods have evolved and innovated throughout time, from early theoretical and regression formulas to nonlinear formulas for estimating effective lens position (ELP), multivariable formulas, and innovative formulas that use optical principles and AI-based online formulas. This paper thoroughly discusses the development and iteration of traditional IOL calculation formulas, the emergence of new IOL calculation formulas, and the selection of IOL calculation formulas for different patients in the era of refractive cataract surgery, serving as a reference for “personalized” IOL implantation in clinical practice. 展开更多
关键词 Cataract Surgery Intraocular Lens Power calculation formula Refractive Cataract Lens Power calculation
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Optical biometry intraocular lens power calculation using different formulas in patients with different axial lengths 被引量:17
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作者 Jia-Kang Wang Shu-Wen Chang 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2013年第2期150-154,共5页
AIM: To investigate the predictability of intraocular lens (IOL) power calculation using the IOLMaster and different IOL power calculation formulas in eyes with various axial length (AL). METHODS: Patients were includ... AIM: To investigate the predictability of intraocular lens (IOL) power calculation using the IOLMaster and different IOL power calculation formulas in eyes with various axial length (AL). METHODS: Patients were included who underwent uneventful phacoemulsification with IOL implantation in the Department of Ophthalmology, Far Eastern Memorial Hospital, Taipei, Taiwan, China from February 2007 to January 2009. Preoperative AL and keratometric values (Ks) were measured by IOLMaster optical biometry. Patients were divided into 3 groups based on AL less than 22mm (Group 1), 22-26mm (Group 2), and more than 26mm (Group 3). The power of the implanted IOL was used to calculate the predicted postoperative spherical equivalence (SE) by various formulas: the Haigis, Hoffer Q, Holladay 1, and SRK/T. The predictive accuracy of each formula was analyzed by comparing the difference between the actual and predicted postoperative SE (MedAE, median absolute error). All the patients had follow-up periods exceeding 3 months. RESULTS: Totally, there were 200 eyes (33 eyes in Group 1, 92 eyes in Group 2, 75 eyes in Group 3). In all patients, the Haigis had the significantly lower MedAE generated by the other formulas (P【0.05). In Group 1 to 3, the MedAE calculated by the Haigis was either significantly lower or comparable to those calculated by the other formulas.CONCLUSION: Compared with other formulas using IOLMaster biometric data, the Haigis formula yields superior refractive results in eyes with various AL. 展开更多
关键词 intraocular lens optical biometry calculation formula
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Formula calculation methods of water content in sweet natural gas and their adaptability analysis
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作者 Zhu Lin Fan Junming +2 位作者 Zhu Jia Qin Li Li Luling 《Natural Gas Industry B》 2014年第2期144-149,共6页
Estimation of water content is the foundation of natural gas processing and designing,and a formula calculation method provides a solution simple and easy to be programmed by computers.In this regard,several main form... Estimation of water content is the foundation of natural gas processing and designing,and a formula calculation method provides a solution simple and easy to be programmed by computers.In this regard,several main formula calculation methods of water content in sweet natural gas were reviewed and evaluated individually.There are formulas fitted with nomographic data(e.g.Sloan formula,Ning Yingnan formula,Khaled formula and Bahadori formula),empirical formulas fitted with experimental data(e.g.Zhu Lin formula,Behr formula and Kazim formula)and formulas generated based on water-hydrocarbon phases equilibrium(e.g.Saturated Vapor Pressure Model,Modified Ideal Model,Simplified Thermodynamic Model and Bukacek formula).The comparison of calculated and experimental values of each above formula calculation method indicates that,the Khaled formula provided the minimum average absolute deviation(AAD)–2.5240%,while the Behr method achieved the maximum AAD–19.255%.After the analysis of the AAD results calculated by the methods at different temperature ranges,the Zhu Lin formula is recommended for−50 to−40℃,the Sloan formula for−40 to 0℃,the Simplified Thermodynamic Model for 0 to 37.78°C,the Khaled formula for 37.78 to 171.11℃,and the Bukacek formula for 171.11 to 237.78℃. 展开更多
关键词 Natural gas Sweet natural gas Water content formula calculation method Average absolute deviation(AAD) Evaluation Method
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Calculation Method of Wave Forces on Large Round-Ended Caisson Foundation 被引量:2
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作者 WEI Chengxun ZHOU Daocheng OU Jinping 《Journal of Shanghai Jiaotong university(Science)》 EI 2019年第2期184-189,共6页
This paper presents an analytical formula for estimating the longitudinal wave forces on a large roundended caisson foundation. The establishment of the formula is based on the superposition of the theoretical formula... This paper presents an analytical formula for estimating the longitudinal wave forces on a large roundended caisson foundation. The establishment of the formula is based on the superposition of the theoretical formula of wave forces on a large circular cylinder and the empirical formula of wave forces on a large rectangular cylinder. With the formula transformed into an inertial force form, a specific inertia coefficient with an exact expression is extracted from the formula. The numerical calculations of the wave forces on round-ended cylinders are carried out by the boundary-element method. The undetermined coefficients in the expression of the inertial coefficient are determined by the numerical results. It is obvious that the numerical values can be well expressed by the computation values from the established formula. By a model experiment carried out in laboratory wave flume, the correctness of the analytical formula is further verified by the measured wave forces on a test model of a round-ended bridge caisson foundation. The comparison shows that the experimental forces can be approximately estimated by this simple calculation method. 展开更多
关键词 calculation formula wave forces round-ended caisson foundation numerical model experiment verification
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Research and Experimental Application of Empirical Formulas to Calculate Riverbank Erosion in Tien River in the Mekong Delta
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作者 Can Thu Van Nguyen Thanh Son Ngo Chi Tuan 《Journal of Environmental Science and Engineering(A)》 2021年第3期116-123,共8页
In recent years,the problem of riverbank and coastal erosion in the MD(Mekong Delta)is very complicated;landslides occur in most of the inland and coastal provinces.Most riverbank landslides occur gradually,but in con... In recent years,the problem of riverbank and coastal erosion in the MD(Mekong Delta)is very complicated;landslides occur in most of the inland and coastal provinces.Most riverbank landslides occur gradually,but in contrast to sudden landslides that cause great damage,occur with increasing frequency.This shows that the trend of riverbank erosion will be more complicated and more frequent,especially in the context of extreme weather changes and changes in hydrological regime in the next time.Statistics from the authorities show that,if in 2010 the whole region had nearly 100 landslide points;by 2020 it had increased to more than 680 points;in which Dong Thap in the Tien River is one of the two localities with the most serious riverbank erosion.Currently,there are many methods used to assess and forecast the level of riverbank erosion in specific areas,such as:method of document analysis,measurement data;physical model;mathematical models and empirical formulas.In this study,the empirical formula is used to calculate the landslide level for the Tien River section in Cao Lanh,Dong Thap province.The calculation results according to the empirical formula have a certain agreement with the actual data,the correlation coefficient is 0.90 and the Nash coefficient is 0.78,the relative error of less than 15%is 80%of the cross-section.Such results have shown the possibility of applying empirical formulas to establish and calculate for other landslide areas along the banks of Hau River and MD. 展开更多
关键词 Riverbank erosion MD empirical formula for calculating bank erosion
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Refractive outcome and lens power calculation after intrascleral intraocular lens fixation:a comparison of three-piece and one-piece intrascleral fixation technique
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作者 Markus Schranz Adrian Reumuller +3 位作者 Klaudia Kostolna Caroline Novotny Daniel Schartmuller Claudette Abela‑Formanek 《Eye and Vision》 2025年第4期20-31,共12页
Purpose To evaluate the refractive prediction error of common intraocular lens(IOL)power calculation formulae in patients who underwent intrascleral IOL fixation using two different techniques.Methods This is a prospe... Purpose To evaluate the refractive prediction error of common intraocular lens(IOL)power calculation formulae in patients who underwent intrascleral IOL fixation using two different techniques.Methods This is a prospective,randomized,longitudinal,single-site,single-surgeon study.Patients who underwent intrascleral IOL implantation using the Yamane or the Carlevale technique were followed up for a period of six months postoperatively.Refraction was measured using the best-corrected visual acuity at 4 m(EDTRS chart).Lens decentration,tilt and effective lens position(ELP)were assessed using an anterior segment optical coherence tomography(AS-OCT).The prediction error(PE)and the absolute error(AE)were evaluated for the SRK/T,Hollayday1 and Hoffer Q formula.Subsequently,correlations between the PE and axial length,keratometry,white to white and ELP were assessed.Results In total,53 eyes of 53 patients were included in the study.Twenty-four eyes of 24 patients were in the Yamane group(YG)and 29 eyes of 29 patients were in the Carlevale group(CG).In the YG,the Holladay 1 and Hoffer Q formulae resulted in a hyperopic PE(0.02±0.56 D,and 0.13±0.64 D,respectively)while in the SRK/T formula the PE was slightly myopic(−0.16±0.56 D).In the CG,SRK/T and Holladay 1 formulae led to a myopic PE(−0.1±0.80 D and−0.04±0.74 D,respectively),Hoffer Q to a hyperopic PE(0.04±0.75 D).There was no difference between the PE of the same formulae across both groups(P>0.05).In both groups the AE differed significantly from zero in each evaluated formula.The AE error was within±0.50 D in 45%–71%and was within±1.00 D in 72%–92%of eyes depending on the formula and surgical method used.No significant differences were found between formulae within and across groups(P>0.05).Intraocular lens tilt was lower in the CG(6.45±2.03°)compared to the YG(7.67±3.70°)(P<0.001).Lens decentration was higher in the YG(0.57±0.37 mm)than in the CG(0.38±0.21 mm),though the difference was not statistically significant(P=0.9996).Conclusions Refractive predictability was similar in both groups.IOL tilt was better in the CG,however this did not influence the refractive predictability.Though not significant,Holladay 1 formula seemed to be more probable than the SRK/T and Hoffer Q formulae.However,significant outliers were observed in all three different formulae and therefore remain a challenging task in secondary fixated IOLs. 展开更多
关键词 Three Piece Technique Intrascleral Intraocular Lens Fixation intrascleral iol fixation intrascleral iol implantation IOL Power calculation formulae refractive prediction error Refractive Prediction Error carlevale technique
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Shear resistance performance of steel-concrete-steel composite shear wall 被引量:4
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作者 韦芳芳 查斌 +1 位作者 赵海波 马欣 《Journal of Southeast University(English Edition)》 EI CAS 2012年第1期73-78,共6页
For a deeper understanding of the shear resistance performance of the steel-concrete-steel composite shear wall, the main influence factors such as the thicknesses of the steel plates and the concrete, the strength gr... For a deeper understanding of the shear resistance performance of the steel-concrete-steel composite shear wall, the main influence factors such as the thicknesses of the steel plates and the concrete, the strength grades of the concrete and the span-depth ratios of the composite wall, which have impacts on the shear resistance performance of the composite shear wail, are analyzed by the numerical simulation method. Meanwhile, the simplified calculation formulae of the initial elastic lateral-resisting stiffness and the shear bearing capacity of the composite shear wall are also proposed. The research shows that with the increase in the thicknesses of the steel plates and the concrete and the increase in the strength grades of the concrete, the shear performance of the shear wall improves obviously; the span-depth ratios of the composite wall have a significant effect on the initial elastic lateral- resisting stiffness, but a small effect on the shear bearing capacity. Comparing the results of the simplified calculation formulae with those of the nonlinear finite element method, it is obvious that the presented formulae are reasonable and meet the real force state of the structure. These conclusions can serve as a preliminary design reference for the steel-concrete- steel composite shear wall. 展开更多
关键词 steel-concrete-steel composite shear wall shearresistance performance influence factor calculation formula
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Mathematical Modeling of Landfill Gas (MSW)—Production of Gas with Methane Gas Content from Landfills (MSW) 被引量:1
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作者 Danila Vieru 《Journal of Geoscience and Environment Protection》 2020年第12期36-62,共27页
The municipal solid waste (msw) is a source of landfill gas (msw)—with methane gas content. Preoccupations for landfill gas (msw) management date back since 1976 when, at a landfill (msw) in California (USA), it turn... The municipal solid waste (msw) is a source of landfill gas (msw)—with methane gas content. Preoccupations for landfill gas (msw) management date back since 1976 when, at a landfill (msw) in California (USA), it turned out practically that the landfill gas (msw) with methane gas content contains a gas with high caloric value that can be collected and used for economic purposes. The landfill gas (msw) contains methane gas (30% - 60% volume), carbon dioxide (45% - 50% volume), hydrogen sulfide and other gases. Methane gas, carbon dioxide, nitrous oxide and other gases are listed in Kyoto Protocol as high greenhouse gases. Their ecological-rational management is both a national and global preoccupation. In terms of greenhouse gases, especially methane gas, the landfill (msw) is held responsible for 3.5% - 5% of the total global greenhouse gases. Practically, the quantitative estimation of the methane gas in a municipal solid waste landfill can be done by measuring the landfill gas (msw) flow in an extraction-collection well. In Romania, a quantitative estimation relationship of methane gas from deposits (msw) was made, approaching the problem in a different way. This paper presents the calculation formula, the working algorithm, the municipal waste landfill equation and the NOMOGRAMA of a municipal solid waste landfill (msw). The NOMOGRAMA allows us to define the values for parameter -m- (number of months needed for an amount of municipal solid waste (msw) to degrade, starting with the year from which the landfill gas (msw) emission with methane gas content is calculated). Taking into account the environmental conditions for each location of municipal solid waste landfill, the calculation uses various indexes and approximations, while the fundamental parameter remains -m- defined by the NOMOGRAMA of the municipal solid waste landfill (msw). A municipal solid waste landfill (msw) is a conglomerate of waste with various biodegradation periods between 2 - 3 years and 5 - 10 - 30 years. Degradation of waste (msw) in to dissolved organic carbon will take place in a number of months defined -m- starting with the year from which the methane gas emission with the NOMOGRAMA of the municipal solid waste landfill (msw) is calculated. The -m- values for the year of the quantitative emission of methane gas can be also done analytically, which requires good experience in the ecologic-rational management of the municipal solid waste (msw). 展开更多
关键词 Municipal Solid Waste (MSW) NOMOGRAMA calculation formula Parameter -m- Quantitative Estimation of Methane Gas
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Behavior of galvanized steel tube subjected to web crippling
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作者 黄淑琼 陈誉 +1 位作者 王潮阳 杜国锋 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第10期2705-2719,共15页
The details of a research study of galvanized steel tube under web crippling were presented. A total of 48 galvanized steel square hollow sections with different boundary conditions, loading conditions, bearing length... The details of a research study of galvanized steel tube under web crippling were presented. A total of 48 galvanized steel square hollow sections with different boundary conditions, loading conditions, bearing lengths and web slenderness were tested. The experimental scheme, failure modes, load-displacement curves and strain intensity distribution curves were also presented. The investigation was focused on the effects of loading condition, bearing length and slenderness on web crippling ultimate capacity, initial compressive stiffness and ductility of galvanized steel tube. The results show that web crippling ultimate capacity increases linearly with the increase of the bearing length under EOF and IOF loading condition. In the end-flange and ITF loading conditions, strain intensity of the centerline of web reaches the peak and decreases progressively from central web to flanges. Finite element models were developed to numerically simulate the tests in terms of failure modes and ultimate capacity. Web crippling strength of galvanized steel tube increases linearly with the increase of the ratio of the bearing length to web thickness and decrease of web slenderness. The effect of ratio of galvanized layer thickness to web thickness on web crippling strength is small. Based on the results of the parametric study, a number of calculation formulas proposed in this work can be successfully employed as a design rule for predicting web crippling ultimate capacity of galvanized steel tube under four loading and boundary conditions. 展开更多
关键词 galvanized steel tube web crippling ultimate capacity finite element analysis calculation formulas
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Determation method for water content of diesel contaminated soil
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作者 HE Xiaohong CHEN Hui'e +1 位作者 FU Rui GAO Yue 《Global Geology》 2014年第1期44-47,共4页
With the increasing researches on geotechnical properties of the diesel contaminated soil( DCS),the water content measured is indispensable part during the early period. In this study,the relative error of water conte... With the increasing researches on geotechnical properties of the diesel contaminated soil( DCS),the water content measured is indispensable part during the early period. In this study,the relative error of water content measurement using the traditional method is as high as 20. 78%,which is no longer suitable for contaminated soil. Through a series of tests to measure the loss coefficient of diesel in the drying time,the authors finally proposed a modified calculation formula for test samples. The results show that the maximum relative error calculated by using the modified formula is 0. 96%,far lower than that of traditional formula,which can provide accurate data for further study of diesel contaminated soil. 展开更多
关键词 diesel contaminated soil water content diesel drying loss coefficient modified calculation formula
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Experimental Study of Structure Shock Vibration in Soil Caused by Explosion of Conventional Weapons
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作者 FENG Jinji XIE Qingliang ZHAO Dayong 《Transactions of Tianjin University》 EI CAS 2006年第B09期228-232,共5页
When hitting underground structures directly or exploding in rock-soil media near underground structures, the conventional weapons with large charge weight will make underground structures be subjected to strong shock... When hitting underground structures directly or exploding in rock-soil media near underground structures, the conventional weapons with large charge weight will make underground structures be subjected to strong shock vibration and cause personal casualty and damage of precision electronic equipments. The shock vibration has become one of the cardinal killing means of weapons. However, the existing methods of predicting structure shock vibration are limited evidently. In this paper the coupling coefficient of acceleration in clayey soil is obtained firstly. Subsequently based on repeated experiments of chemical explosion, after dimension analysis and by using method of multivariate stepwise regression, the calculation formulae of shock vibration acceleration for the underground structure are obtained finally. The formulae consider top and side explosion respectively, taking into account the effects of penetration depth, charge weight, distance to explosion center, rock-soil media, size of structure and buried depth. They are easy to use with high practicability and degree of confidence, and can provide credible evidence for prediction of shock vibration and vibration isolating design of underground structure. 展开更多
关键词 explosion mechanics empirical calculating formula shock vibration acceleration coupling coefficient
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Formulas of exact calculation of discrepancy of low-dimensionalfinite point sets (Ⅱ)
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作者 朱尧辰 《Chinese Science Bulletin》 SCIE EI CAS 1995年第7期610-612,共3页
This letter is a continuation of refs.[1] and [2]. Let d≥2, S<sub>d</sub>={u<sub>k</sub>(1≤k≤n)} be a finiteset of points in the d-dimensional unit cube [0, 1)<sup>d</sup>, whe... This letter is a continuation of refs.[1] and [2]. Let d≥2, S<sub>d</sub>={u<sub>k</sub>(1≤k≤n)} be a finiteset of points in the d-dimensional unit cube [0, 1)<sup>d</sup>, where u<sub>k</sub>=(u<sub>1,k</sub>, u<sub>2,k</sub>,…,u<sub>d,k</sub>) 展开更多
关键词 formulas of exact calculation of discrepancy of low-dimensionalfinite point sets
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Research on the mechanical equilibrium equation of ice jam
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作者 Yin-qin Tang Jing-wei Feng +2 位作者 Jun Wang Jueyi Sui Guowei Li 《Journal of Hydrodynamics》 2025年第2期320-330,共11页
Ice jams,which are prevalent in rivers of cold regions,can escalate into severe flooding disasters.Understanding variations in ice jam thickness is crucial,generating significant scholarly interest in developing accur... Ice jams,which are prevalent in rivers of cold regions,can escalate into severe flooding disasters.Understanding variations in ice jam thickness is crucial,generating significant scholarly interest in developing accurate computational methods.Current models primarily rely on mechanical equilibrium equations to estimate ice jam thickness,representing a significant advancement in theoretical research.However,these models often overlook critical factors such as the cohesion of ice jams and the distribution of equilibrium stress across the river’s width,which can undermine their accuracy.This study introduces an enhanced model that incorporates these aspects,thereby improving the mathematical rigor.Validated against empirical data from natural rivers,the proposed model demonstrates strong agreement with observed values.This research not only refines the theoretical framework for calculating ice jam thickness but also improves the prediction and management of ice jam evolution and related disasters in cold regions. 展开更多
关键词 Ice jam mechanical equilibrium equation ice jam cohesion calculation formula of ice jam thickness
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ON CALCULATIONS OF THE DRAG COEFFICIENT Cd AND THE FALL VELOCITY ω OF SPHERICAL BODIES
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作者 Xiang Zhao-fa (Institute of Estuary and Coastland, Yellow River Conservancy Commission, Jinan, Shandong 250100,P. R. china) 《Journal of Hydrodynamics》 SCIE EI CSCD 1994年第4期16-27,共12页
A host of authors have proposed some theoretical and experimental formulas in hydromechanics concerning the calculation of the drag coefficient Cd of spherical bodies. But all of the existing Cd formulas hold true onl... A host of authors have proposed some theoretical and experimental formulas in hydromechanics concerning the calculation of the drag coefficient Cd of spherical bodies. But all of the existing Cd formulas hold true only at small Reynolds numbers and are restricted within certain flowing range.As regards the fall velocity ω of spherical bodies, there is yet no formula applicable to each flowing range and to a direct expression and calculation of the fall velocity ω.In view of these, from N-S equations, and meanwhile based on measured data and complicated calculations, the author has developed and proposed the following results:(1) The drag coefficient (2) The dimensionless fall velocity where Es, Ω* and constants etc. are indicated in detail in this paper.Through laborious calculation in lgRe<5 larger range, the verification proves that our results well agree with the measured data. And the leading features of formulas of this paper are: (1) simple in form, (2) convenient for general use, (3) preferable on the part of the precision and applicability.Finally, to introduce this process and to illustrate the temperature effects on the fall velocity ω, some examples are discussed in this paper. 展开更多
关键词 drag coefficient fall velocity spherical body numerical calculated formula.
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