1、Designation: D4737 10 (Reapproved 2016)Standard Test Method forCalculated Cetane Index by Four Variable Equation1This standard is issued under the fixed designation D4737; the number immediately following the designation indicates the year oforiginal adoption or, in the case of revision, the year of
2、 last revision. A number in parentheses indicates the year of last reapproval. Asuperscript epsilon () indicates an editorial change since the last revision or reapproval.1. Scope1.1 The calculated Cetane Index by Four Variable Equationprovides a means for estimating the ASTM cetane number(Test Meth
3、od D613) of distillate fuels from density anddistillation recovery temperature measurements. The valuecomputed from the equation is termed the Calculated CetaneIndex by Four Variable Equation.1.2 The Calculated Cetane Index by Four Variable Equationis not an optional method for expressingASTM cetane
4、 number.It is a supplementary tool for estimating cetane number whena result by Test Method D613 is not available and if cetaneimprover is not used. As a supplementary tool, the CalculatedCetane Index by Four Variable equation must be used with dueregard for its limitations.1.3 Procedure A is to be
5、used for Specification D975,Grades No. 1D S15, No. 1D S500, No. 1D S5000, No. 2DS15, No. 2D S5000, and No. 4D. This method for estimatingcetane number was developed by Chevron Research Co.2Procedure A is based on a data set including a relatively smallnumber of No. 1D fuels. Test Method D4737 Proced
6、ure Amay be less applicable to No. 1D S15, No. 1D S500, and No.1D S5000 than to No. 2D grade S5000 or to No. 4D fuels.1.3.1 Procedure A has been verified as applicable to GradeNo. 2D S15 diesel fuels.31.4 Procedure B is to be used for Specification D975, GradeNo. 2D S500.1.5 The test method “Calcula
7、ted Cetane Index by FourVariable Equation” is particularly applicable to Grade 1DS5000, Grade No. 1D S500, Grade No. 2D S5000 and GradeNo. 2D S500 diesel fuel oils containing straight-run andcracked stocks, and their blends. It can also be used for heavierfuels with 90 % recovery points less than 38
8、2 C and for fuelscontaining derivatives from oil sands and oil shale.NOTE 1Sxx is the designation for maximum sulfur level specified forthe grade. For example, S500 grades are those with a maximum sulfurlimit of 500 ppm (g/g).1.6 Biodiesel blends are excluded from this test method,because they were
9、not part of the datasets use to develop eitherProcedure A or B.1.7 The values stated in SI units are to be regarded asstandard. No other units of measurement are included in thisstandard.1.8 This standard does not purport to address all of thesafety concerns, if any, associated with its use. It is t
10、heresponsibility of the user of this standard to establish appro-priate safety and health practices and determine the applica-bility of regulatory limitations prior to use.2. Referenced Documents2.1 ASTM Standards:4D86 Test Method for Distillation of Petroleum Products andLiquid Fuels at Atmospheric
11、 PressureD613 Test Method for Cetane Number of Diesel Fuel OilD975 Specification for Diesel Fuel OilsD1298 Test Method for Density, Relative Density, or APIGravity of Crude Petroleum and Liquid Petroleum Prod-ucts by Hydrometer MethodD2887 Test Method for Boiling Range Distribution of Pe-troleum Fra
12、ctions by Gas ChromatographyD4052 Test Method for Density, Relative Density, and APIGravity of Liquids by Digital Density MeterD6751 Specification for Biodiesel Fuel Blend Stock (B100)for Middle Distillate FuelsD6890 Test Method for Determination of Ignition Delay andDerived Cetane Number (DCN) of D
13、iesel Fuel Oils byCombustion in a Constant Volume ChamberD7170 Test Method for Determination of Derived Cetane1This test method is under the jurisdiction of ASTM Committee D02 onPetroleum Products, Liquid Fuels, and Lubricants and is the direct responsibility ofSubcommittee D02.E0 on Burner, Diesel,
14、 Non-Aviation Gas Turbine, and MarineFuels.Current edition approved July 1, 2016. Published July 2016. Originally approvedin 1987. Last previous edition approved in 2010 as D4737 10. DOI: 10.1520/D4737-10R16.2Ingham, M. C., et al., “Improved Predictive Equations for Cetane Number,”SAE Paper No 86025
15、0, Society of Automotive Engineers (SAE), 400 Common-wealth Dr., Warrendale, PA 15096-0001.3Supporting data (the analysis leading to the use of ProcedureAfor No. 2-D S15diesel fuels and to Procedure B) have been filed at ASTM International Headquar-ters and may be obtained by requesting Research Rep
16、ort RR:D02-1699.4For referenced ASTM standards, visit the ASTM website, www.astm.org, orcontact ASTM Customer Service at serviceastm.org. For Annual Book of ASTMStandards volume information, refer to the standards Document Summary page onthe ASTM website.Copyright ASTM International, 100 Barr Harbor
17、 Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States1Number (DCN) of Diesel Fuel OilsFixed Range Injec-tion Period, Constant Volume Combustion ChamberMethod2.2 CEN Standards:5EN 14214 Automotive fuels Fatty acid methyl esters(FAME) for diesel engines Requirements and testmethods3. Su
18、mmary of Test Method3.1 Two correlations in SI units have been establishedbetween the ASTM cetane number and the density and 10 %,50 %, and 90 % distillation recovery temperatures of the fuel.Procedure A has been developed for diesel fuels meeting therequirements of Specification D975 Grades No. 1D
19、S15, No.1D S500, No. 1D S5000, No. 2D S5000, and No. 4D. Ithas been found to be applicable to Grade No. 2D S15. Therelationship is given by the following equation:CCI 5 45.210.0892!T10N!10.13110.901!B!#T50N#10.05232 0.420!B!#T90N#10.00049#T10N!22 T90N!2#1107!B!160!B!2(1)where:CCI = Calculated Cetane
20、 Index by Four Variable Equation,D = Density at 15 C, g/mL determined by Test MethodsD1298 or D4052,DN = D - 0.85,B =e(-3.5)(DN)-1,T10= 10 % recovery temperature, C, determined by TestMethod D86 and corrected to standard barometricpressure,T10N=T10- 215,T50= 50 % recovery temperature, C, determined
21、by TestMethod D86 and corrected to standard barometricpressure,T50N=T50- 260,T90= 90 % recovery temperature, C, determined by TestMethod D86 and corrected to standard barometricpressure, andT90N=T90- 310.3.2 The empirical equation for Procedure A of the Calcu-lated Cetane Index by Four Variable Equa
22、tion was derivedusing a generalized least squares fitting technique whichaccounted for measurement errors in the independent variables(fuel properties) as well as in the dependent variable (cetanenumber by Test Method D613). The data base consisted of1229 fuels including; commercial diesel fuels, re
23、finery blend-ing components and fuels derived from oil sands, shale, andcoal. The analysis also accounted for bias amongst the indi-vidual sets of data comprising the database.3.3 Procedure B has been developed for diesel fuels meetingthe requirements of Specification D975 Grade No. 2D S500.The rela
24、tionship is given by the following equation:3CCI 52399.90D!10.1113 T10!10.1212 T50!10.0627 T90!1309.33 (2)where:CCI = Calculated Cetane Index by Four Variable EquationD = Density at 15 C, g/mL determined by Test MethodsD1298 or D4052T10= 10 % recovery temperature, C, determined by TestMethod D86 and
25、 corrected to standard barometricpressureT50= 50 % recovery temperature, C, determined by TestMethod D86 and corrected to standard barometricpressureT90= 90 % recovery temperature, C, determined by TestMethod D86 and corrected to standard barometricpressure3.3.1 The equation for Procedure B when T10
26、,T50, and T90are in F is:3CCI 52399.90D!10.06183 T10!10.06733 T50!10.03483 T90!1304.09 (3)where:CCI = Calculated Cetane Index by Four Variable EquationD = Density at 15 C, g/mL determined by Test MethodD1298 or D4052T10= 10 % recovery temperature, F, determined by TestMethod D86 and corrected to sta
27、ndard barometricpressureT50= 50 % recovery temperature, F, determined by TestMethod D86 and corrected to standard barometricpressureT90= 90 % recovery temperature, F, determined by TestMethod D86 and corrected to standard barometricpressure3.4 The empirical equation for Procedure B of the Calcu-late
28、d Cetane Index by Four Variable Equation was derivedfrom National Exchange Group data for 111 No. 2D S500diesel fuels with sulfur level between 16 and 500 ppm using aPartial Least Squares technique. A 3-principal componentmodel was chosen. The model was validated with a set of 980diesel fuels with s
29、ulfur levels in the same range.4. Significance and Use4.1 The Calculated Cetane Index by Four Variable Equationis useful for estimating ASTM cetane number when a testengine is not available for determining this property directlyand when cetane improver is not used. It may be convenientlyemployed for
30、 estimating cetane number when the quantity ofsample available is too small for an engine rating. In caseswhere the ASTM cetane number of a fuel has been previouslyestablished, the Calculated Cetane Index by Four VariableEquation is useful as a cetane number check on subsequentbatches of that fuel,
31、provided the fuels source and mode ofmanufacture remain unchanged.NOTE 2Test Methods D6890 and D7170 may be used to obtain aDerived Cetane Number (DCN) when the quantity of sample is too smallfor an engine test. These methods do measure the effect of cetaneimprover.4.2 Within the range from 32.5 to
32、56.5 cetane number, theexpected error of prediction of Procedure A of the CalculatedCetane Index by Four Variable Equation will be less than 625Available from the National CEN members listed on the CEN website(www.cenorm.be) or from the CEN/TC 19 Secretariat (astmnen.nl).D4737 10 (2016)2cetane numbe
33、rs for 65 % of the distillate fuels evaluated.Errors may be greater for fuels whose properties fall outsidethe recommended range of application.5. Procedure5.1 Determine the density of the fuel at 15 C to the nearest0.0001 g mL, as described in Test Method D1298 or TestMethod D4052.5.2 Determine the
34、 10 %, 50 %, and 90 % recovery tempera-tures of the fuel, as described in Test Method D86.5.3 Test Method D2887 maybe used as an alternative to TestMethod D86 to determine the 10 %, 50 %, 90 % recoverytemperatures of the fuel.5.3.1 If Test Method D2887 is used, convert the TestMethod D2887 data to e
35、stimated Test Method D86 datafollowing Appendix X5, Correlation of Jet and Diesel Fuel, ofTest Method D2887 and use the estimated Test Method D86data in place of actual Test Method D86 data in the calcula-tions.5.3.2 Provision for use of Test Method D2887 data in thistest method is intended to facil
36、itate its use in determiningcompliance with Specification D975 requirements. If this testmethod is used for purposes other than Specification D975compliance, the use of estimated Test Method D86 data shouldbe reviewed to ensure it is acceptable.6. Calculation or Interpretation of Results6.1 Compute
37、the Calculated Cetane Index by Four VariableEquation using the equation given in 3.1 (Procedure A) forGrades 1D S15, 1D S500, 1D S5000, 2D S15, 2D S5000,and 4D. The calculation of Procedure A is more easilyperformed using a computer or programmable hand calculator.Round the value obtained to the nea
38、rest one-tenth. Computethe Calculated Cetane Index by Four Variable Equation usingthe equation given in 3.3. (Procedure B) for Grade No. 2DS500.6.1.1 Calculated Cetane Index by Four Variable Equation(Procedure A) can also be easily determined by means of thenomographs (applicable to Procedure A only
39、) appearing inFigs. 1-3. Fig. 1 is used to estimate the cetane number of a fuelbased on its density at 15C and its 50 % recovery temperature.Fig. 2 is used to determine a correction for the estimate fromFig. 1 to account for deviations in the density and the 90 %recovery temperature of the fuel from
40、 average values. Fig. 3 isused to determine a second correction for the estimate fromFig. 1 to account for deviations in the 10 % and the 90 %recovery temperatures of the fuel from average values. Thecorrections determined from Fig. 2 and Fig. 3 are summedalgebraically with the cetane number estimat
41、e from Fig. 1 tofind the Calculated Cetane Index by Four Variable Equation(Procedure A). The method of using these nomographs isindicated by the illustrative example shown below and on Figs.1-3.FIG. 1 Calculated Cetane IndexFIG. 2 Calculated Cetane IndexD4737 10 (2016)3Measured Fuel PropertiesTest M
42、ethod D613 Cetane Number 37.0Test Method D1298 Density at 15 C, kg/L 0.885Test Method D86 10 % Recovery Temperature, C 234Test Method D86 50 % Recovery Temperature, C 274Test Method D86 90 % Recovery Temperature, C 323Calculated Cetane IndexEstimate from Fig. 1 34.0Correction from Fig. 2 +0.6Correct
43、ion from Fig. 3 +2.5_CCI = 37.16.2 The Calculated Cetane Index by Four Variable Equationpossesses certain inherent limitations which must be recog-nized in its application. These are as follows:6.2.1 It is not applicable to fuels containing additives forraising the cetane number.6.2.2 It is not appl
44、icable to pure hydrocarbons, nor tonon-petroleum fuels derived from coal.6.2.3 It is not applicable to fuels containing biodiesel asdefined by Specification D6751 or CEN Specification EN14214.6.2.4 Substantial inaccuracies in correlation may occur ifthe equation is applied to residual fuels or crude
45、 oils.7. Report7.1 Report the result of Procedure A or Procedure B to onedecimal place (XX.X) as:Cetane Index by d4737 Procedure A or B! 5 _ (4)8. Precision and Bias8.1 The determination of Calculated Cetane Index by FourVariable Equation from measured density at 15 C and mea-sured 10 %, 50 %, and 9
46、0 % recovery temperatures is exact.8.2 PrecisionThe precision of the Calculated Cetane In-dex by Four Variable Equation is dependent on the precision ofthe original density and recovery temperature determinationswhich enter into the calculation. Test Method D1298 has astated repeatability limit of 0
47、.0006 kg L and a stated reproduc-ibility limit of 0.0015 kg L at 15 C. Test Method D4052 has astated repeatability of 0.0001 g mL and reproducibility of0.0005 g mL. Test Method D86 has stated repeatability andreproducibility limits which vary with the rate of change ofrecovery temperature. See Figs.
48、 2 through 7 and Tables 7through 10 of Test Method D86 for details.8.3 BiasNo general statement is made on bias of this testmethod since a comparison with accepted reference values isnot available.9. Keywords9.1 cetane; cetane index; diesel fuelASTM International takes no position respecting the val
49、idity of any patent rights asserted in connection with any item mentionedin this standard. Users of this standard are expressly advised that determination of the validity of any such patent rights, and the riskof infringement of such rights, are entirely their own responsibility.This standard is subject to revision at any time by the responsible technical committee and must be reviewed every five years andif not revised, either reapproved or withdrawn. Your
