Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Approximate Analysis of Thermal Radiation Absorption in Fuel Droplets J. Heat Transfer. 2007;129(9):1246-1255. doi:10.1115/1.2740304 Figure Legend: The same as Figs. but for 3-pentanone, injected into a gas volume equal to 712mm3

Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Approximate Analysis of Thermal Radiation Absorption in Fuel Droplets J. Heat Transfer. 2007;129(9):1246-1255. doi:10.1115/1.2740304 Figure Legend: Plots of Ts and Rd for a diesel fuel droplet versus time for an initial air temperature Tg0=600K, air pressure pg0=3MPa, droplet temperature Td0=300K, radius Rd0=10μm, and velocity vd0=1m∕s. The overall volume of injected liquid fuel was taken equal to 1mm3, and the volume of air was equal to 639mm3. The results were obtained based on the effective thermal conductivity (ETC) model and the analytical solution of the heat conduction equation inside the droplet . Dashed curves refer to the case when the effects of thermal radiation are ignored. Thick, intermediate, and thin solid curves refer to the case when the thermal radiation is generated by a source with external temperatures 1000K, 2000K, and 3000K, respectively, and calculated using the model based upon a piecewise approximation of the coefficients a and b in Eq. . Dashed-dotted curves refer to the case when the thermal radiation is generated by a source with external temperatures of 3000K and the model based on single quadratic approximations of these coefficients.

Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Approximate Analysis of Thermal Radiation Absorption in Fuel Droplets J. Heat Transfer. 2007;129(9):1246-1255. doi:10.1115/1.2740304 Figure Legend: The same as Fig. but for gasoline fuel, injected into a gas volume equal to 620mm3

Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Approximate Analysis of Thermal Radiation Absorption in Fuel Droplets J. Heat Transfer. 2007;129(9):1246-1255. doi:10.1115/1.2740304 Figure Legend: Indices of absorption of four types of fuel (low sulphur ESSO AF1313 diesel fuel, gasoline fuel (BP Pump Grade 95 RON ULG), 2,2,4-trimethylpentane (iso-octane), and 3-pentanone) versus wavelength λ. The results for diesel fuel are reproduced from Ref. .

Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Approximate Analysis of Thermal Radiation Absorption in Fuel Droplets J. Heat Transfer. 2007;129(9):1246-1255. doi:10.1115/1.2740304 Figure Legend: Plots Q¯a versus droplet radius for diesel fuel and three radiation temperatures: 1000K, 2000K, and 3000K (indicated near the curves), as calculated from Eq. . Thick solid curves are based on the values of κ in the range 0.2–6μm, as reported in Ref. . Thin solid curves are based on the values of κ in the range 0.2–4μm, as shown in Fig. .

Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Approximate Analysis of Thermal Radiation Absorption in Fuel Droplets J. Heat Transfer. 2007;129(9):1246-1255. doi:10.1115/1.2740304 Figure Legend: Plots Q¯a and its three approximations Λ versus droplet radius for diesel fuel. Three radiation temperatures: 1000K, 2000K, and 3000K (indicated near the curves) were considered. Thick solid curves refer to the values of Q¯a as calculated from Eq. . Thick dots refer to piecewise approximation for Λ, as calculated from Eq. . Thin solid curves refer to a single quadratic approximation for Λ. Dashed–dotted curves refer to a singe fourth power approximation for Λ.

Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Approximate Analysis of Thermal Radiation Absorption in Fuel Droplets J. Heat Transfer. 2007;129(9):1246-1255. doi:10.1115/1.2740304 Figure Legend: The same as Fig. but for gasoline fuel

Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Approximate Analysis of Thermal Radiation Absorption in Fuel Droplets J. Heat Transfer. 2007;129(9):1246-1255. doi:10.1115/1.2740304 Figure Legend: The same as Figs. but for iso-octane

Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Approximate Analysis of Thermal Radiation Absorption in Fuel Droplets J. Heat Transfer. 2007;129(9):1246-1255. doi:10.1115/1.2740304 Figure Legend: The same as Figs. but for 3-pentanone.