Masters Theses

Abstract

"This investigation was carried out to check the accuracy of the eigenvalues, λn, calculated by Wellek and Skelland, using some method other than the Rayleigh-Ritz technique and also, to determine the coefficients, Bn in series solution, which were not calculated before.
The eigenvalues were obtained by trial and error procedure using the standard Runge-Kutta method. The coefficients Bn were obtained by using eigenvalues. By using this information the fractional extraction was calculated as a function of droplet contact time.


The Wellek-Skelland modification was also solved by finite difference technique to compute fraction extracted as a function of contact time.


The eigenvalues, λn, and coefficients, Bn, were also obtained by Hamming's method, and the values agreed with those obtained by the Runge-Kutta method to within 2%. The first eigenvalues obtained by Wellek and Skelland and the values obtained by the author were in agreement to within 5%. The family of curves of Em versus bt, obtained using finite difference method, is in agreement with the physical situation. Therefore, at the higher values of bt ( > 0. 5) results observed using Runge-Kutta method should be used,and at lower values of bt (< 0. 5) the results obtained using finite difference should be considered to be more accurate"--Abstract, page ii.

Advisor(s)

Wellek, Robert M.

Committee Member(s)

Findley, Marshall E., 1927-1991
Gillett, Billy E.
Nelson, John C.

Department(s)

Chemical and Biochemical Engineering

Degree Name

M.S. in Chemical Engineering

Publisher

University of Missouri at Rolla

Publication Date

1966

Pagination

132 pages in various pagings

Note about bibliography

Includes bibliographical references (pages 117-118).

Rights

© 1966 Jayantilal Mohanbhai Patel, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Mass transfer -- Mathematical models
Drops
Eigenvalues

Thesis Number

T 1862

Print OCLC #

5973328

Electronic OCLC #

896828094

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