Newton's law of cooling is shown to underestimate the heat flux between a spherical body (droplet) and a homogeneous gas after this body is suddenly immersed into the gas. This problem is rectified by replacing the gas thermal conductivity by the effective thermal conductivity. The latter reduces to the gas thermal conductivity in the limit of but can be substantially higher in the limit of In the case of fuel droplet heating in a medium duty truck Diesel engine the gas thermal conductivity may need to be increased by more than 100 percent at the initial stage of calculations to account for transient effects during the process of droplet heating.
Issue Section:
Forced Convection
Keywords:
thermal conductivity,
cooling,
drops,
heat transfer,
convection,
Droplet,
Heating,
Heat Transfer,
Spheres,
Sprays,
Thermal
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by ASME
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