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Linearized flow in a cylindrical cavity

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k z. A Fig. 2 Stretching Functions at End of Wall k k s (UIV) k s----.. -.8 k m (lfIV)---"/ o Fig. 3 Fig. 4…
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2. L([f; pUz. V" I . . e .4 .2 ./ .or yo/ -T m (SFL) -'tm (Qual.) F.ig, 5 Wall Shear Stress Varia~ion for…
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6. r 3.bf.- I , /.2 f I I o + xlc == 0,1 o xl c == 0.25 ):( xl c "" 0.5 v xlc = 1.0 ./ .2. uju Fig, 6a…
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b. -- .3. bl--- I I 2.4 ! /.2. + x/a = 0,1 ox/a == 0.25 ~ x/a == 0.5 v x/a = 1.0 SFL Boundary Layer 20…
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}i.fPi- a V I 8.1 + x/c :=; I::l x/C = ~ x/C = ~ x/c .= b. 4, 2, ',' ., ','…
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10, + x/a = 0.1 ex/a == 0.25 'd x/a 0.5 (, .. vx/a = 1.0 2. , n " r) ( fJ • 'I rJ , r-t…
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,9 . 8 . 1 K .5 0 ).. • I • A" 3 1/1 ~ • - EXQct-.v' ~ Jj E:x.ac.t~ T-- 1.g;. 8 Convergence of the…

Linearized flow past a flat plate

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PROJECT TUBEFf/ONT
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TR PT 6901 LINEARIZED FLOW PAST A FLAT PLATE by William D. Ernst This work was supported by the National Science…
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ACKNOWLEDGMENT The author wishes to express his appreciation and gratitude to Dr. H. J. Hagerup for suggesting the problem…
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SUMMARY This investigation presents a new technique for the approximate solution of incompressible boundary layer flow…
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TABLE OF CONTENTS SUMMARY LIST OF SYMBOLS INTRODUCTION DETERMINATION OF THE STRETCHING FUNCTION von Mises Stretching…
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e(x) g(x) k(x) i(x) p. r Re u u N U 1\ U ~ u v U u U r x A x v X 1\ E.(x) LIST OF SYMBOLS V' e…
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INTRODUCTION Boundary layer flow has been under study for over 60 years, but the problems studied previously have primarily…
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The second step of this technique, the determination of ~ or k, is not developed in reference 1, and instead a primitive…
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DETERMINATION OF THE STRETCHING FUNCTION Before attempting to determine the stretching function, let us review two equivalent…
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renders equations la,b dimensionless and of the form U U x + V-U:1 :=. U:JIj UK --r U-~ ::. 0 U(O, 'j);: Uo(y) U(X,O…
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- 5 , are replaced by the single termi(x) This linearization process should yield good results for problems in which the…
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- 6 '(f is just u and then require that jt:qUation Sa - equation 6a) d'f = 0 (7) This is equivalent to requiring…
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7 Also, equation 8 may be transformed to j oO( 1\ -f A 2. k 1\2 cf l( UA- (X)U; t{-J=O o X (11) or alternatively (12…
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8 Lipschitz condition. Thus for g' ~ 0, any k(x) determined as a solution of equation l4b, numerically or otherwise,…
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9 equation I-I with p = m = 1 and Dl D, is substituted in equation 12, then the result may be given by k(x):: z Ie UZ + (Uc…
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simplifies equation 17 to and the initial and boundary conditions of equation 3b to I I'm LA ( o. y) :: U o (y ) U(X,O…
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Thus, the SFL solution of the Prandt1 form of the BL equa- tions can be determined in the same manner as the SFL solution of…
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12 RESULTS AND DISCUSSION Now that a method has been formulated for the determination of k(x) and ~ (x), let us examine the…
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