On the Forced Convective Flow between Two Corrugated Cylinders
The forced heat convection in the flow between two corrugated cylinders, whose generators are parallel to the flow direction, is studied through perturbation on the small amplitude of the corrugations. The coupled effects of frictional heating and non-linear interaction of the boundaries on the heat transfer rate are obtained.
Fluid flow and heat transfer in horizontal wavy channels
SummaryThe equations governing the fluid flow and heat transfer have been solved subject to the relevant boundary conditions by assuming that the solution consists of two parts: a mean part and a perturbed part. To obtain the perturbed part of the solution, use has been made of the long-wave approximation. The mean part of the solution has been found to be in good agreement with that of the plane Poiseuille flow. The perturbed part of the solution is the contribution from the waviness of the walls. The mean part, the perturbed part and the total solution of the problem have been evaluated numerically for several sets of values of the parameters. Certain qualitatively interesting properties of the fluid flow and heat transfer, along with the changes in the fluid pressure on the wavy walls, are recorded in § § 5 and 6.ZusammenfassungDie Grundgleichungen des Problems werden für das Stromfeld und den Wärmeübergang unter den gegebenen Randbedingungen gelöst. Dabei wird angenommen, daß die Lösung aus zwei Anteilen besteht: einem Mittelwert und den Störgrößen. Der Störanteil wird ermittelt durch eine Approximation im Sinne langer Wellen. Der Mittelwert des Stromfeldes stimmt gut mit der ebenen Poiseuille-Strömung überein. Der Störanteil rührt von der Welligkeit der Wände her. Die Gesamtströmung wurde numerisch für zahlreiche Werte der eingehenden Parameter bestimmt. Zahlreiche interessante Eigenschaften der Strömungsgrößen sowie des Wärmeüberganges sowie der Druckverteilung längs der welligen Wand werden in § § 5 und 6 besprochen.
Laminar heat or mass transfer in rectangular channels and in cylindrical tubes for fully developed flow: comparison of solutions obtained for various boundary conditions
Abstract A comparison is made of results obtained with various boundary conditions at the wall of the channels. By comparing blood Sherwood numbers for finite wall resistance with those for constant concentration boundary condition only a small variation is found for various points along the blood channel.