Read e-book online Aerodynamic Theory: A General Review of Progress Under a PDF

By William Frederick Durand

ISBN-10: 3662388464

ISBN-13: 9783662388464

ISBN-10: 366239765X

ISBN-13: 9783662397657

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer ebook records mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

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Additional info for Aerodynamic Theory: A General Review of Progress Under a Grant of the Guggenheim Fund for the Promotion of Aeronautics

Example text

Let us now consider two special cases as represented in Fig. 6. First take the function represented by C ED, symmetrical about y. Evidently in such case, f (0) = f (- 0). Likewise we have sin nO=- sin(- nO). SECTION 2 19 Hence in the formula for a B coefficient, the elements in the integration will form pairs equal in value and opposite in sign and thus cancelling out in the summation. Hence each B coefficient will vanish. Again since cos nO= cos(- nO), the elements in the integration for an A coefficient will form pairs equal in value and of the same sign and thus combining in the summation.

Then divide through by any one term, say the first. The result will l;m a general form of the physical equation with unity for the first term followed by a series of terms in Q1 , Q2 , x, y, z, all of dimension zero. 1), and must be of zero dimension. 3) are also of zero dimension. 25 SECTION 3 Again let the exponents of L, M, T, in the dimensional expressions for Qv Q2 , x, y, z, be as follows: T _Jf L Qt m3 m2 ml Q2 n3 n2 nl X P3 P2 Pt y q3 q2 ql z r3 r2 r1 That is, the dimensions of Q1 are Lm Mm, Tm, and similarly for the others.

5 . l) + B1 sin 0 + B2 sin 2 0 + B3 sin 3 0 + The right hand side of this equation will evidently have equal values for 0 = - n and + n. It is, in fact, suited to the expression of any such function as in Fig. 5, where the values for - n and + n are equal. If this should be a periodic function repeating the pattern 0 ED indefinitely, then the series as determined for this pattern will hold indefinitely. If, however, the function changes to a different pattern outside the range - n ...... + n, then the series as developed will hold only between these limits.

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Aerodynamic Theory: A General Review of Progress Under a Grant of the Guggenheim Fund for the Promotion of Aeronautics by William Frederick Durand


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