Unsteady, Viscous, Circular Flow. Part Ii. the Cylinder of Finite Radius PDF Download

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Unsteady, Viscous, Circular Flow. Part Ii. the Cylinder of Finite Radius

Unsteady, Viscous, Circular Flow. Part Ii. the Cylinder of Finite Radius PDF Author: Merwin Sibulkin
Publisher:
ISBN:
Category :
Languages : en
Pages : 29

Book Description
The problem considered is that of the two-dimensional motion of the fluid in a cylinder of finite radius after the outer portion of the fluid is given an initial uniform velocity. The primary purpose of the investigation is the study of the changes in the energy distribution in the fluid as the initial motion decays. The appropriate flow equations are developed and then approximated by finite-difference equations. Numerical solutions of these equations are presented, and the energy transfer processes are discussed in some detail. During the early stages of the flow, it is found that the spatial distribution of energy depends strongly on the Prandtl number. During the later stages, however, there is a net outward flow of energy for the case of a liquid and a net inward flow for a gas. (Author).

Unsteady, Viscous, Circular Flow. Part Ii. the Cylinder of Finite Radius

Unsteady, Viscous, Circular Flow. Part Ii. the Cylinder of Finite Radius PDF Author: Merwin Sibulkin
Publisher:
ISBN:
Category :
Languages : en
Pages : 29

Book Description
The problem considered is that of the two-dimensional motion of the fluid in a cylinder of finite radius after the outer portion of the fluid is given an initial uniform velocity. The primary purpose of the investigation is the study of the changes in the energy distribution in the fluid as the initial motion decays. The appropriate flow equations are developed and then approximated by finite-difference equations. Numerical solutions of these equations are presented, and the energy transfer processes are discussed in some detail. During the early stages of the flow, it is found that the spatial distribution of energy depends strongly on the Prandtl number. During the later stages, however, there is a net outward flow of energy for the case of a liquid and a net inward flow for a gas. (Author).

Unsteady, Viscous, Circular Flow. Part I. the Line Impulse of Angular Momentum

Unsteady, Viscous, Circular Flow. Part I. the Line Impulse of Angular Momentum PDF Author: Merwin Sibulkin
Publisher:
ISBN:
Category :
Languages : en
Pages : 46

Book Description
The report discusses the transfer of energy between fluid elements due to viscous work and to heat conduction within (but not across) the fluid boundaries. The particular class of problems studied are unsteady, two-dimensional flows with circular streamlines. The work was originally motivated by a desire to understand the temperature separation phenomenon exhibited by the Ranque-Hilsch vortex tube. The investigation is divided into three parts. In Part I the energy field is an infinite fluid associated with the decay of what will be defined as a line impulse of angular momentum is considered. The flows of both a liquid and of a gas in the limit of Mach number equal to zero are studied, and solutions, in closed form, are obtained and compared. In Part II the corresponding flows in a cylinder of finite radius are considered. In these cases it is necessary to resort to numerical integration to obtain the desired solutions of the energy equation. In Part III a new model for the flow in a vortex tube is proposed. Using the methods developed in Part II, velocity and energy profiles are calculated and compared with previously published measurements. Some new experimental work based upon the proposed flow model is also presented. (Author).

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