| Description |
132 leaves in various foliations : illustrations ; 28 cm |
| Summary |
"This investigation was carried out to check the accuracy of the eigenvalues, [lambda][subscript n], calculated by Wellek and Skelland, using some method other than the Rayleigh-Ritz technique and also, to determine the coefficients, B[subscript n] 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 B[subscript n] 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, [lambda][subscript n], and coefficients, B[subscript n], 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 E[subscript m] 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, leaf ii. |
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