"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.
Wellek, Robert M.
Findley, Marshall E., 1927-1991
Gillett, Billy E.
Nelson, John C.
Chemical and Biochemical Engineering
M.S. in Chemical Engineering
University of Missouri at Rolla
132 pages in various pagings
© 1966 Jayantilal Mohanbhai Patel, All rights reserved.
Thesis - Open Access
Mass transfer -- Mathematical models
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Patel, Jayantilal Mohanbhai, "Mass transfer in droplets with turbulent internal circulation - Mathematical description" (1966). Masters Theses. 5739.