TY - JOUR

T1 - Unsteady heat transfer and temperature for stokesian flow about a sphere

AU - Konopliv, N.

AU - Sparrow, E. M.

PY - 1972/8

Y1 - 1972/8

N2 - An analysis is made of the unsteady thermal processes which result when a moving sphere encounters a fluid environment whose initial temperature is different from that of the sphere. The fluid velocity field is steady and Stokesian, and the temperature field is of the boundary-layer type. Two related physical situations are analyzed. In one of these, the sphere is a solid of high thermal conductance such that its temperature is spatially uniform, but varies with time as a result of heat transfer with the fluid. In the other, the sphere heat capacity and conductance are both large so that its surface temperature is spatially and temporally uniform for a finite period of time. A number of solution methods is employed, including numerical inversion of integral transforms, series, and asymptotic expansions. Results are presented both in graphical and algebraic form for the local and overall heat-transfer rates, for the temperature history, and and for the time required to reach thermal equilibrium.

AB - An analysis is made of the unsteady thermal processes which result when a moving sphere encounters a fluid environment whose initial temperature is different from that of the sphere. The fluid velocity field is steady and Stokesian, and the temperature field is of the boundary-layer type. Two related physical situations are analyzed. In one of these, the sphere is a solid of high thermal conductance such that its temperature is spatially uniform, but varies with time as a result of heat transfer with the fluid. In the other, the sphere heat capacity and conductance are both large so that its surface temperature is spatially and temporally uniform for a finite period of time. A number of solution methods is employed, including numerical inversion of integral transforms, series, and asymptotic expansions. Results are presented both in graphical and algebraic form for the local and overall heat-transfer rates, for the temperature history, and and for the time required to reach thermal equilibrium.

UR - http://www.scopus.com/inward/record.url?scp=84984104348&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84984104348&partnerID=8YFLogxK

U2 - 10.1115/1.3449926

DO - 10.1115/1.3449926

M3 - Article

AN - SCOPUS:84984104348

VL - 94

SP - 266

EP - 272

JO - Journal of Heat Transfer

JF - Journal of Heat Transfer

SN - 0022-1481

IS - 3

ER -