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 -