. The axially symmetric potential flow about elongated bodies of revolution. Aerodynamics; Fluid mechanics. 22 We will also need the slope of the profile which, from [78], is v, _ f'(x) _ - 0-^3 2y ()i/2 The profile and f(x) are graphed in Figure 2. [82. Figure 2 - Graphs of y(x) and y^x) for y2(x) = (1 - x4) First let us find the end points of the distribution. We have, from [81], ax = , a2 = , a3 = The approximate formula [40] then gives a = or 3-84, whence a = J: = or An examination of the complete polynomial [37] with the aid of Table 10 shows tha
. The axially symmetric potential flow about elongated bodies of revolution. Aerodynamics; Fluid mechanics. 22 We will also need the slope of the profile which, from [78], is v, _ f'(x) _ - 0-^3 2y ()i/2 The profile and f(x) are graphed in Figure 2. [82. Figure 2 - Graphs of y(x) and y^x) for y2(x) = (1 - x4) First let us find the end points of the distribution. We have, from [81], ax = , a2 = , a3 = The approximate formula [40] then gives a = or 3-84, whence a = J: = or An examination of the complete polynomial [37] with the aid of Table 10 shows that its zeros oc- cur at a = , , In the application of Table 10 to determine these roots the regions of possible zeros should be determined by inspection, the values of the polynomial in these regions calculated from Equation [37] and Table 10, and then graphed to obtain the zeros. It is seen that in the pres- ent case the approximate formula [40] would have been sufficiently accurate for the determination of the roots near a = 4. The solution of the complete polynomial equation will always yield an additional large root, corresponding to the large root of Equation [131] of the Appendix; in general, however, this root should be rejected since as will be shown, the initial doublet distribu- tion corresponding to it is less simple than for the roots near a = Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Landweber, L; David W. Taylor Model Basin. Washington, D. C. : David W. Taylor Model Basin
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