SOME MODELS FOR CALCULATION OF HEAT TRANSFER COEFFICIENTS TO A MOVING CONTINUOUS CYLINDER

When a continuous cylinder is cooled by passing it longitudinally through a quiet fluid (free convection is not considered) then the following relation for the local heat transfer coefficient can be given: {A figure is presented}. The group √(Pé)x)/P′R allows for the curvature of the cylinder; the fourth dimensionless group: {A figure is presented} accomodates for its finite heat capacity. It has formerly been impossible to obtain a general solution for the local heat transfer coefficient of a moving continuous cylinder of finite heat capacity. Complete solutions for special cases are presented, which include:. (1) The local heat transfer coefficient for a moving continuous flat plate (no curvature) of finite heat capacity (model (7)). (2) The local heat transfer coefficient for a moving continuous cylinder of finite heat capacity in a viscous, not so well conducting fluid (Pr → ∞) model (4). (3) The local heat transfer coefficient to a moving continuous cylinder of infinite heat capacity (model (6)). On basis of these complete solutions an approximate solution for the general problem of cooling or heating continuous cylinders can be constructed. These theoretical solutions and experimental data will be compared in a following paper. © 1996.