Extension of the Circle Theorems by Surface Source DistributionSource: Journal of Fluids Engineering:;1989:;volume( 111 ):;issue: 003::page 243Author:O. Rand
DOI: 10.1115/1.3243637Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper presents a closed-form analytical solution for the source strength distribution along the circumference of a two-dimensional circular cylinder that is required for producing an arbitrary distribution of normal velocity. Being suitable to be used with flows having arbitrary vorticity distribution, the present formulation can be considered as an alternative and extensive form of the circle theorems. Using the conformal transformation technique, the formulation also serves as a closed-form solution of Laplace’s equation in any two-dimensional flow domain that is reducible to the outer or inner region of a circular cylinder having arbitrary prescribed normal velocity over its boundary.
keyword(s): Theorems (Mathematics) , Flow (Dynamics) , Circular cylinders , Laplace equations AND Vorticity ,
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contributor author | O. Rand | |
date accessioned | 2017-05-08T23:30:16Z | |
date available | 2017-05-08T23:30:16Z | |
date copyright | September, 1989 | |
date issued | 1989 | |
identifier issn | 0098-2202 | |
identifier other | JFEGA4-27044#243_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/105555 | |
description abstract | The paper presents a closed-form analytical solution for the source strength distribution along the circumference of a two-dimensional circular cylinder that is required for producing an arbitrary distribution of normal velocity. Being suitable to be used with flows having arbitrary vorticity distribution, the present formulation can be considered as an alternative and extensive form of the circle theorems. Using the conformal transformation technique, the formulation also serves as a closed-form solution of Laplace’s equation in any two-dimensional flow domain that is reducible to the outer or inner region of a circular cylinder having arbitrary prescribed normal velocity over its boundary. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Extension of the Circle Theorems by Surface Source Distribution | |
type | Journal Paper | |
journal volume | 111 | |
journal issue | 3 | |
journal title | Journal of Fluids Engineering | |
identifier doi | 10.1115/1.3243637 | |
journal fristpage | 243 | |
journal lastpage | 247 | |
identifier eissn | 1528-901X | |
keywords | Theorems (Mathematics) | |
keywords | Flow (Dynamics) | |
keywords | Circular cylinders | |
keywords | Laplace equations AND Vorticity | |
tree | Journal of Fluids Engineering:;1989:;volume( 111 ):;issue: 003 | |
contenttype | Fulltext |