Unsteady heat transfer to slug flows: effect of axial conduction

Journal Article · Thu Jul 01 04:00:00 EDT 1965 · AIChE J.; (United States)

DOI:https://doi.org/10.1002/aic.690110410· OSTI ID:6695112

Chu, S C; Bankoff, S G

Despite their relative simplicity, solutions of the equations for unsteady transport of heat or mass to slug flows have not been extensively investigated, possibly because there are at least 3 independent variables. Such problems arise in such diverse applications as the continuous annealing of bars and the heating of oil or gas in underground strata. It is assumed that the diffusant is heat; the authors are also concerned only with problems in which 2 space variables, as well as time, are involved, and in which the fluid velocity remains constant with time. Such problems are conveniently solved by multiple transform methods, with the Laplace transform to remove the time variable, and a finite Sturm-Liouville transform to remove one of the space variables. Solutions are obtained for 3 illustrative cases of unsteady heat transfer to slug flows, taking axial conduction into account. The magnitude of the correction to the solutions neglecting this effect is shown to be quite appreciable near the leading edge. In agreement with previous steady state estimates, the axial conduction correction becomes negligible for Peclet numbers in excess of 100. (14 refs.)

• OSTI ID: 6695112
• Journal Information: AIChE J.; (United States), Journal Name: AIChE J.; (United States) Vol. 11:4; ISSN AICEA
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020300* -- Petroleum-- Drilling & Production
ENERGY TRANSFER
ENGINEERING
FLUID FLOW
FLUIDS
HEAT TRANSFER
OIL WELLS
RESERVOIR ENGINEERING
RESERVOIR FLUIDS
WELLS