An Approximate Analysis of Laminar Dispersion in Circular TubesSource: Journal of Applied Mechanics:;1976:;volume( 043 ):;issue: 004::page 537Author:J. S. Yu
DOI: 10.1115/1.3423925Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The combined effects of convection and diffusion for dispersion on mass transport in fully developed laminar flow through circular tubes are investigated. The present method, which in general may be used to yield solutions at any arbitrary dimensionless time, in its zeroth-order approximation is identical to Taylor’s analysis for the average concentration. Solutions to the basic differential equation for an initial input of solute either concentrated at a section of the tube or uniformly distributed in the form of a slug of finite axial extension are developed. Numerical results for the former input are presented over a large range of dimensionless time and Peclet numbers. The time limitations of Taylor’s solution and Lighthill’s small time approximation [15] are placed on more reliable quantitative bases by comparison with the present calculations.
keyword(s): Diffusion (Physics) , Laminar flow , Convection , Differential equations , Approximation AND Slug ,
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| contributor author | J. S. Yu | |
| date accessioned | 2017-05-08T22:59:57Z | |
| date available | 2017-05-08T22:59:57Z | |
| date copyright | December, 1976 | |
| date issued | 1976 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26065#537_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/88210 | |
| description abstract | The combined effects of convection and diffusion for dispersion on mass transport in fully developed laminar flow through circular tubes are investigated. The present method, which in general may be used to yield solutions at any arbitrary dimensionless time, in its zeroth-order approximation is identical to Taylor’s analysis for the average concentration. Solutions to the basic differential equation for an initial input of solute either concentrated at a section of the tube or uniformly distributed in the form of a slug of finite axial extension are developed. Numerical results for the former input are presented over a large range of dimensionless time and Peclet numbers. The time limitations of Taylor’s solution and Lighthill’s small time approximation [15] are placed on more reliable quantitative bases by comparison with the present calculations. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | An Approximate Analysis of Laminar Dispersion in Circular Tubes | |
| type | Journal Paper | |
| journal volume | 43 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3423925 | |
| journal fristpage | 537 | |
| journal lastpage | 542 | |
| identifier eissn | 1528-9036 | |
| keywords | Diffusion (Physics) | |
| keywords | Laminar flow | |
| keywords | Convection | |
| keywords | Differential equations | |
| keywords | Approximation AND Slug | |
| tree | Journal of Applied Mechanics:;1976:;volume( 043 ):;issue: 004 | |
| contenttype | Fulltext |