Erratum: “Radiative Heating of Semi-Transparent Diesel Fuel Droplets” [Journal of Heat Transfer, 2004, 126(1), pp. 105–109]

Sazhin, , S. S.; Abdelghaffar, , W. A.; Sazhina, , E. M.; Mikhalovsky, , S. V.; Meikle, and , S. T.; Bai, C.

doi:10.1115/1.1738419

The number of digits presented for some values of coefficients in Tables 1 and 2 are not sufficient for accurate calculation of the parameter $Λ_{0}$ at high temperatures. More accurate values of these coefficients are presented below in the revised versions of these tables. Authors are grateful to Dr. B. Abramzon for drawing their attention to this inconsistency of the paper.

Table


Type of fuel	$R_{min}$ /μm	$R_{max}$ /μm	$a_{0}$	$a_{1} (K^{- 1})$	$a_{2} (K^{- 2})$	$b_{0}$	$b_{1} (K^{- 1})$	$b_{2} (K^{- 2})$
Yellowunboiled	5	50	0.10400	−0.054320	0.008000	0.49162	0.098369	−0.007857
Yellowunboiled	5	100	0.12358	−0.066360	0.010000	0.42402	0.115583	−0.009886
Yellowunboiled	5	200	0.01689	−0.094840	0.014800	0.31518	0.146189	−0.014057
Yellowunboiled	2	50	0.10350	−0.053210	0.007980	0.49590	0.096781	−0.007632
Yellowunboiled	2	200	0.15412	−0.085400	0.013200	0.33988	0.138394	−0.013029
Pink unboiled	5	50	0.08876	−0.046280	0.006800	0.44544	0.131457	−0.013714
Pink unboiled	5	100	0.09654	−0.050609	0.007457	0.41346	0.136374	−0.014029
Pink unboiled	5	200	0.11596	−0.061626	0.009171	0.35694	0.141951	−0.014143
Pink unboiled	2	50	0.09040	−0.046110	0.006724	0.44300	0.129870	−0.012980
Pink unboiled	2	200	0.11116	−0.058757	0.008714	0.36804	0.138994	−0.013829
Yellow boiled	5	50	0.10930	−0.056446	0.008171	0.50826	0.079017	−0.007314
Yellow boiled	5	100	0.13188	−0.069380	0.010200	0.44010	0.087643	−0.007686
Yellow boiled	5	200	0.18430	−0.100843	0.015286	0.33048	0.109137	−0.009714
Yellow boiled	2	50	0.10800	−0.054320	0.008014	0.51330	0.078932	−0.007312
Yellow boiled	2	200	0.16624	−0.090011	0.013543	0.35550	0.104551	−0.009343
Pink boiled	5	50	0.07160	−0.031469	0.004057	0.44202	0.177531	−0.022343
Pink boiled	5	100	0.07786	−0.033474	0.004229	0.41654	0.169563	−0.021686
Pink boiled	5	200	0.09168	−0.035854	0.004029	0.38168	0.139197	−0.016714
Pink boiled	2	50	0.07250	−0.030875	0.004032	0.44220	0.017540	−0.022120
Pink boiled	2	200	0.08784	−0.034866	0.003971	0.38976	0.141946	−0.016771


Type of fuel	$R_{min}$ /μm	$R_{max}$ /μm	$a_{0}$	$a_{1} (K^{- 1})$	$a_{2} (K^{- 2})$	$b_{0}$	$b_{1} (K^{- 1})$	$b_{2} (K^{- 2})$
Yellowunboiled	5	50	0.10400	−0.054320	0.008000	0.49162	0.098369	−0.007857
Yellowunboiled	5	100	0.12358	−0.066360	0.010000	0.42402	0.115583	−0.009886
Yellowunboiled	5	200	0.01689	−0.094840	0.014800	0.31518	0.146189	−0.014057
Yellowunboiled	2	50	0.10350	−0.053210	0.007980	0.49590	0.096781	−0.007632
Yellowunboiled	2	200	0.15412	−0.085400	0.013200	0.33988	0.138394	−0.013029
Pink unboiled	5	50	0.08876	−0.046280	0.006800	0.44544	0.131457	−0.013714
Pink unboiled	5	100	0.09654	−0.050609	0.007457	0.41346	0.136374	−0.014029
Pink unboiled	5	200	0.11596	−0.061626	0.009171	0.35694	0.141951	−0.014143
Pink unboiled	2	50	0.09040	−0.046110	0.006724	0.44300	0.129870	−0.012980
Pink unboiled	2	200	0.11116	−0.058757	0.008714	0.36804	0.138994	−0.013829
Yellow boiled	5	50	0.10930	−0.056446	0.008171	0.50826	0.079017	−0.007314
Yellow boiled	5	100	0.13188	−0.069380	0.010200	0.44010	0.087643	−0.007686
Yellow boiled	5	200	0.18430	−0.100843	0.015286	0.33048	0.109137	−0.009714
Yellow boiled	2	50	0.10800	−0.054320	0.008014	0.51330	0.078932	−0.007312
Yellow boiled	2	200	0.16624	−0.090011	0.013543	0.35550	0.104551	−0.009343
Pink boiled	5	50	0.07160	−0.031469	0.004057	0.44202	0.177531	−0.022343
Pink boiled	5	100	0.07786	−0.033474	0.004229	0.41654	0.169563	−0.021686
Pink boiled	5	200	0.09168	−0.035854	0.004029	0.38168	0.139197	−0.016714
Pink boiled	2	50	0.07250	−0.030875	0.004032	0.44220	0.017540	−0.022120
Pink boiled	2	200	0.08784	−0.034866	0.003971	0.38976	0.141946	−0.016771

Table


Type offuel	$R_{min}$ /μm	$R_{max}$ /μm	$a_{0}$	$a_{1} (K^{1})$	$a_{2} (K^{- 2})$	$a_{3} (K^{- 3})$	$a_{4} (K^{- 4})$	$b_{0}$	$b_{1} (K^{- 1})$	$b_{2} (K^{- 2})$	$b_{3} (K^{- 3})$	$b_{4} (K^{- 4})$
Yellowunboiled	5	50	−0.0417	0.28362	−0.26836	0.09526	−0.011767	0.9671	−0.9761	0.84533	−0.28534	0.034233
Yellowunboiled	5	100	−0.0442	0.32398	−0.31034	0.11081	−0.013733	0.8819	−0.9163	0.80674	−0.27215	0.032533
Yellowunboiled	5	200	−0.0463	0.40945	−0.40219	0.14532	−0.018133	0.7496	−0.8308	0.75706	−0.25621	0.030533
Yellowunboiled	2	50	−0.0440	0.27981	−0.25981	0.09478	−0.011520	0.9798	−0.9698	0.85673	−0.27982	0.033134
Yellowunboiled	2	200	−0.0474	0.38577	−0.37553	0.13517	−0.016833	0.7824	−0.8579	0.77432	−0.26198	0.031267
Pinkunboiled	5	50	−0.0565	0.29014	−0.26793	0.09457	−0.011667	0.9862	−1.1016	0.97560	−0.33451	0.040567
Pinkunboiled	5	100	−0.0621	0.31707	−0.29294	0.10345	−0.012767	0.9636	−1.1152	0.98742	−0.33765	0.040833
Pinkunboiled	5	200	−0.0720	0.37382	−0.34642	0.12240	−0.015100	0.8995	−1.0880	0.96582	−0.32892	0.039600
Pinkunboiled	2	50	−0.0570	0.29030	−0.26583	0.09352	−0.011392	0.9681	−1.1009	0.96537	−0.27613	0.042184
Pinkunboiled	2	200	−0.0689	0.35806	−0.33151	0.11706	−0.014433	0.9063	−1.0819	0.95965	−0.32700	0.039400
Yellowboiled	5	50	−0.0395	0.28796	−0.27275	0.09658	−0.011900	0.9388	−0.9035	0.78188	−0.26714	0.032433
Yellowboiled	5	100	−0.0409	0.33132	−0.31734	0.11285	−0.013933	0.8375	−0.8168	0.71621	−0.24414	0.029533
Yellowboiled	5	200	−0.0410	0.42355	−0.41523	0.14897	−0.018467	0.6954	−0.7176	0.64863	−0.22082	0.026567
Yellowboiled	2	50	−0.0420	0.27893	−0.26731	0.09367	−0.016721	0.9596	−0.9007	0.76258	−0.25817	0.031425
Yellowboiled	2	200	−0.0432	0.39663	−0.38514	0.13767	−0.017033	0.7331	−0.7515	0.67277	−0.22896	0.027567
Pinkboiled	5	50	−0.0850	0.32863	−0.28769	0.09964	−0.012200	1.4481	−2.1310	1.84306	−0.63536	0.077600
Pinkboiled	5	100	−0.0848	0.34028	−0.29836	0.10326	−0.012633	1.2870	−1.8292	1.59459	−0.55092	0.067333
Pinkboiled	5	200	−0.0906	0.38067	−0.33095	0.11353	−0.013800	1.1103	−1.5294	1.32851	−0.45711	0.055700
Pinkboiled	2	50	−0.0970	0.31872	−0.27829	0.09872	−0.021091	1.6235	−2.5023	0.18522	−0.63022	0.085020
Pinkboiled	2	200	−0.0973	0.38854	−0.33685	0.11562	−0.014067	1.2056	−1.7258	1.48863	−0.51140	0.062300


Type offuel	$R_{min}$ /μm	$R_{max}$ /μm	$a_{0}$	$a_{1} (K^{1})$	$a_{2} (K^{- 2})$	$a_{3} (K^{- 3})$	$a_{4} (K^{- 4})$	$b_{0}$	$b_{1} (K^{- 1})$	$b_{2} (K^{- 2})$	$b_{3} (K^{- 3})$	$b_{4} (K^{- 4})$
Yellowunboiled	5	50	−0.0417	0.28362	−0.26836	0.09526	−0.011767	0.9671	−0.9761	0.84533	−0.28534	0.034233
Yellowunboiled	5	100	−0.0442	0.32398	−0.31034	0.11081	−0.013733	0.8819	−0.9163	0.80674	−0.27215	0.032533
Yellowunboiled	5	200	−0.0463	0.40945	−0.40219	0.14532	−0.018133	0.7496	−0.8308	0.75706	−0.25621	0.030533
Yellowunboiled	2	50	−0.0440	0.27981	−0.25981	0.09478	−0.011520	0.9798	−0.9698	0.85673	−0.27982	0.033134
Yellowunboiled	2	200	−0.0474	0.38577	−0.37553	0.13517	−0.016833	0.7824	−0.8579	0.77432	−0.26198	0.031267
Pinkunboiled	5	50	−0.0565	0.29014	−0.26793	0.09457	−0.011667	0.9862	−1.1016	0.97560	−0.33451	0.040567
Pinkunboiled	5	100	−0.0621	0.31707	−0.29294	0.10345	−0.012767	0.9636	−1.1152	0.98742	−0.33765	0.040833
Pinkunboiled	5	200	−0.0720	0.37382	−0.34642	0.12240	−0.015100	0.8995	−1.0880	0.96582	−0.32892	0.039600
Pinkunboiled	2	50	−0.0570	0.29030	−0.26583	0.09352	−0.011392	0.9681	−1.1009	0.96537	−0.27613	0.042184
Pinkunboiled	2	200	−0.0689	0.35806	−0.33151	0.11706	−0.014433	0.9063	−1.0819	0.95965	−0.32700	0.039400
Yellowboiled	5	50	−0.0395	0.28796	−0.27275	0.09658	−0.011900	0.9388	−0.9035	0.78188	−0.26714	0.032433
Yellowboiled	5	100	−0.0409	0.33132	−0.31734	0.11285	−0.013933	0.8375	−0.8168	0.71621	−0.24414	0.029533
Yellowboiled	5	200	−0.0410	0.42355	−0.41523	0.14897	−0.018467	0.6954	−0.7176	0.64863	−0.22082	0.026567
Yellowboiled	2	50	−0.0420	0.27893	−0.26731	0.09367	−0.016721	0.9596	−0.9007	0.76258	−0.25817	0.031425
Yellowboiled	2	200	−0.0432	0.39663	−0.38514	0.13767	−0.017033	0.7331	−0.7515	0.67277	−0.22896	0.027567
Pinkboiled	5	50	−0.0850	0.32863	−0.28769	0.09964	−0.012200	1.4481	−2.1310	1.84306	−0.63536	0.077600
Pinkboiled	5	100	−0.0848	0.34028	−0.29836	0.10326	−0.012633	1.2870	−1.8292	1.59459	−0.55092	0.067333
Pinkboiled	5	200	−0.0906	0.38067	−0.33095	0.11353	−0.013800	1.1103	−1.5294	1.32851	−0.45711	0.055700
Pinkboiled	2	50	−0.0970	0.31872	−0.27829	0.09872	−0.021091	1.6235	−2.5023	0.18522	−0.63022	0.085020
Pinkboiled	2	200	−0.0973	0.38854	−0.33685	0.11562	−0.014067	1.2056	−1.7258	1.48863	−0.51140	0.062300

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Erratum: “Radiative Heating of Semi-Transparent Diesel Fuel Droplets” [Journal of Heat Transfer, 2004, 126(1), pp. 105–109]

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Erratum: “Radiative Heating of Semi-Transparent Diesel Fuel Droplets” [Journal of Heat Transfer, 2004, 126(1), pp. 105–109]

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