Calculation of the minimum mean cooling/heating time of general-geometry solids
2002
Cuesta-Benito, F.J. | Lamua, M.
This paper establishes a geometric variable with which to linearize the calculation of the minimum mean time (dimensionless) necessary to reach a given mean temperature Y (dimensionless). The variable is defined by the relationship Xr=[αy+αz-2/3αyαz]. In this way the minimum mean time (minimum Fourier number) is expressed very approximately by FY=P0+P1Xr. It is also determined that P0 and P1 are, very approximately, linear functions of the log of Y P0=A0+B0 ln (Y), P1=A1+B1 ln (Y). An interpolation method is further proposed for more complex geometries, built up from the "extremes" which limit or shape them.
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