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Linearized analysis of the flow field induced by a steady discontinuity traveling in an infinite tube

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APPENDIX II To investigate when the linearized supersonic solutions display a reversal in the velocity or enthalpy…
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Substituting the values for A and B, dividing by h, and defining w ~ * yields therefore or kT (f-I)Md"'L--/- I…
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20 therefore This confirms that w == 2 must be negative. Similarly for the reversal of the enthalpy perturbation it can…

Linearized flow in a cylindrical cavity

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PROJECT TUBEFLIGHT
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TR PT 6902 LINEARIZED FLOW IN A CYLINDRICAL CAVITY 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 third paper concludes an analysis of the laminar, large Reynolds number, two-dimensional recirculatory flow…
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TABLE OF CONTENTS SUMMARY LIST OF SYMBOLS INTRODUCTION THE STRETCHING FUNCTION LINEARIZATION TECHNIQUE RESULTS Solution…
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a A a c A c F g(x) k(x) K Sb u ,J u A u V Vc X A X Y E (x) e V 1, 'I' Subscripts m s…
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INTRODUCTION 1 In a previous paper, an investigation was made of the laminar, large Reynolds number, two-dimensional…
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as explained in reference 2 the von Mises form is better for some NUIV problems, and will be used in the present paper. The…
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THE STRETCHING FUNCTION LINEARIZATION TECHNIQUE Solution of the Linearized von Mises BL Equation The flow configuration on…
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4 large enough, the flow pattern will be characterized by a thin boundary layer along the walls, and a central rotating core…
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5 the solution of equation 1 with the above initial and boundary conditions, as derived in reference 1, can be expressed in…
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6 The Stretching Function In reference 2, it is shown that the stretching function for the von Mises BL equation is (7) If…
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7 this result, the SFL solution of the exact, second order, nonlinear BL equation, may be obtained by solving first a second…
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8 RESULTS Before the development of the SFL technique, the various linearized methods to determine the flow field within the…
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9 from the leading edge for A. = 3. Since the influence of the NUIV distribution decreases downstream, the SFL stretching…
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10 the qualitative solution. The largest difference between the solutions occurs at small x. The following general…
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11 VALIDITY OF THE SFL SOLUTION The assessment of the accuracy of the SFL solution for the NUIV problem is difficult without…
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12 Only five values were chosen for p (p - 0 1 2 3 4) and these - , , , , , demonstrated that the SFL result for K is…
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13 CONCLUDING DISCUSSION AND SUGGESTIONS FOR FUTURE WORK The SFL technique is shown in reference 2 to yield valid results…
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14 APPENDIX I NUMERICAL COMPUTATION The numerical computations were performed at the RPI Computer Laboratory on an IBM 360/…
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15 and Usually only n = 3 was required to achieve this result. /\ 1\ 9) With the required accuracy in a, c and gm s…
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REFERENCES 1. Ernst, W.D., "Recirculatory Flo\v in a Cylindrical Cavity," Rensselaer Polytechnic Institute Tech.…
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