TY - JOUR
T1 - Simple formulas to predict center and mean temperatures and total heat transfer in regular configurations with surface temperature under small- and large-time conditions
AU - Campo, Antonio
AU - Macía, Yunesky Masip
N1 - Publisher Copyright:
© 2019 by ASME.
PY - 2019/6/1
Y1 - 2019/6/1
N2 - Simple formulas for the prediction of three important thermal quantities, the center temperature, the mean temperature, and the total heat transfer in regular configurations (large plane wall, long cylinder, and sphere) cooled/heated with prescribed uniform surface temperature during "small time," are addressed in the present paper. Two immediate engineering applications deal with quenching of metals and sterilization of canned food. The simple formulas emanate from the truncated one term series of the supplementary infinite series at small time. The small time subregion has been traditionally characterized in the heat conduction literature by the dimensionless time or Fourier number s < 0.24 in the large plane wall, s < 0.21 in the long cylinder, and s < 0.19 in the sphere. Excellent agreement between the obtained simple formulas and the traditional solutions (namely the exact, analytical infinite series for "all time") are attained for the center temperature, mean temperature, and total heat transfer in the large plane wall, long cylinder, and sphere.
AB - Simple formulas for the prediction of three important thermal quantities, the center temperature, the mean temperature, and the total heat transfer in regular configurations (large plane wall, long cylinder, and sphere) cooled/heated with prescribed uniform surface temperature during "small time," are addressed in the present paper. Two immediate engineering applications deal with quenching of metals and sterilization of canned food. The simple formulas emanate from the truncated one term series of the supplementary infinite series at small time. The small time subregion has been traditionally characterized in the heat conduction literature by the dimensionless time or Fourier number s < 0.24 in the large plane wall, s < 0.21 in the long cylinder, and s < 0.19 in the sphere. Excellent agreement between the obtained simple formulas and the traditional solutions (namely the exact, analytical infinite series for "all time") are attained for the center temperature, mean temperature, and total heat transfer in the large plane wall, long cylinder, and sphere.
KW - Long cylinder
KW - One term series at small time
KW - Regular configurations (large plane wall
KW - Simple formulas for the center and mean temperatures and total heat transfer at small time
KW - Sphere)
KW - Supplementary infinite series at small time
KW - Unsteady one-dimensional heat conduction
UR - http://www.scopus.com/inward/record.url?scp=85061203209&partnerID=8YFLogxK
U2 - 10.1115/1.4041938
DO - 10.1115/1.4041938
M3 - Article
AN - SCOPUS:85061203209
SN - 1948-5085
VL - 11
JO - Journal of Thermal Science and Engineering Applications
JF - Journal of Thermal Science and Engineering Applications
IS - 3
M1 - 034503
ER -