The UMIST-N Near-Wall Treatment Applied to Periodic Channel Flow

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BIBLIOGRAPHY 94 [56] Quemere, P., Zonal multi-domain RANS/LES simulations of turbulent flows, International Journal for Numerical Methods in Fluids, vol. 40, pp. 903-925, 2002. [57] Ramaprian, B. R. & Tu, S. W., Fully developed periodic turbulent pipe flow part 2: the detailed structure of the flow, Journal of Fluid Mechanics, vol. 137, pp. 59-81, 1983. [58] Reichardt, H., Vollstandige darstellung der turbulenten geschwindigkeitsverteilung in glatten leitungen, Zeitschrift für Angewandte Mathematik und Mechanik, vol. 31, pp. 208-219, 1951. [59] Reynolds, O., On the dynamical theory of incompressible viscous fluids and determination of the criterion, Philosophical Transactions of the Royal Society of London, serries A, vol. 186, pp. 123-164, 1895. [60] Reynolds, W. C., modelling of fluid motion in engines: an introduc- tory review, Combustion modelling in Reciprocating Engines, Plenum Press, New York, pp. 41-68, 1980. [61] Robinson, D. F., Harris, J. E., & Hassan, H. A., Unified turbulence closure model for axisymmetric and planar free shear flows, AIAA Journal, vol. 33, no. 12, pp. 2324-2331, 1995. [62] Rodi, W. & Spalding, D. B., A two parameter model of turbulence and its application to free jets, Wärme und Stoffübertragung, vol. 3, p. 85, 1970. [63] Rotta, J. C., Statistische theorie nichthomogener turbulenz, Zeitschrift für Physik, vol. 129, pp. 547-572, 1951.
BIBLIOGRAPHY 95 [64] Rotta, J. C., Über eine methode zur berechnung turbulenter scher- strömungen, Aerodynamische Versuchanstalt Göttingen, Rep. 69 A 14, 1968. [65] Saffman, P. G., A model for inhomogeneous turbulent flow, Proceedings of the Royal Society of London, vol. A317, pp. 417-433, 1970. [66] Sarpkaya, T., Experimental determination of the critical Reynolds number for pulsating poiseuille flow Transactions of the ASME: Jour- nal of Basic Engineering, no. 66-FE-5, 1966. [67] Scotti, A. & Piomelli, U., Numerical simulation of pulsating turbulent channel flow, American Institute of Physics, vol. 13, no. 5, pp. 1367- 1384, 2001. [68] Shemer, L., Wygnanski, I., & Kit, E., Pulsating flow in a pipe, Journal of Fluid Mechanics, vol. 153, pp. 313-337, 1985. [69] Shima, N., Calculation of a variety of boundary layers with a second- moment closure applicable up to a wall, 7th Symposium on Turbulent Shear Flows, Stanford University, Paper 5-3, 1989. [70] Siginer, A., Oscillating flow of a simple fluid in a pipe, International Journal of Engineering Science, vol. 29, no. 12, pp. 1557-1567, 1991. [71] Sleath, J. F. A., Turbulent oscillatory flow over rough beds, Journal of Fluid Mechanics, vol. 182, pp. 369-409, 1987. [72] Smith, B. R., The k-kl turbulence model and wall layer model for compressible flows, AIAA Paper, no. 90-1483, 1990. [73] Spalart, P. R., A one-equation turbulence model for aerodynamic flows, AIAA Paper, no. 92-439, 1992.
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The UMIST-N Near-Wall Treatment App
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Acknowledgements I would like to th
Page 5 and 6:
Contents 1 Introduction & Literatur
Page 7 and 8:
List of Figures 2.1 The log-law com
Page 9 and 10:
5.32 k vs y + snapshots through tim
Page 11 and 12:
Chapter 1 Introduction & Literature
Page 13 and 14:
CHAPTER 1. INTRODUCTION & LITERATUR
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Page 19 and 20:
Page 21 and 22:
Page 23 and 24:
Page 25 and 26:
Page 27 and 28:
Chapter 2 Turbulence Models The Rey
Page 29 and 30:
CHAPTER 2. TURBULENCE MODELS 19 The
Page 31 and 32:
CHAPTER 2. TURBULENCE MODELS 21 2.2
Page 33 and 34:
CHAPTER 2. TURBULENCE MODELS 23 way
Page 35 and 36:
CHAPTER 2. TURBULENCE MODELS 25 y i
Page 37 and 38:
CHAPTER 2. TURBULENCE MODELS 27 The
Page 39 and 40:
CHAPTER 2. TURBULENCE MODELS 29 In
Page 41 and 42:
Chapter 3 Channel Flow Channel flow
Page 43 and 44:
CHAPTER 3. CHANNEL FLOW 33 of x and
Page 45 and 46:
CHAPTER 3. CHANNEL FLOW 35 varies o
Page 47 and 48:
CHAPTER 3. CHANNEL FLOW 37 u 2 +
Page 49 and 50:
CHAPTER 3. CHANNEL FLOW 39 3.4.1 Em
Page 51 and 52:
CHAPTER 3. CHANNEL FLOW 41 profile
Page 53 and 54: CHAPTER 3. CHANNEL FLOW 43 Figure 3
Page 55 and 56: CHAPTER 3. CHANNEL FLOW 45 The prof
Page 57 and 58: CHAPTER 3. CHANNEL FLOW 47 y + is p
Page 59 and 60: CHAPTER 4. NUMERICAL IMPLEMENTATION
Page 77 and 78: CHAPTER 5. RESULTS 67 Table 5.1: Co
Page 79 and 80: CHAPTER 5. RESULTS 69 The solution
Page 81 and 82: CHAPTER 5. RESULTS 71 match the DNS
Page 83 and 84: CHAPTER 5. RESULTS 73 Integrating w
Page 85 and 86: CHAPTER 5. RESULTS 75 Figures 5.11,
Page 87 and 88: CHAPTER 5. RESULTS 77 gradient of k
Page 89 and 90: CHAPTER 5. RESULTS 79 The log law o
Page 91 and 92: CHAPTER 5. RESULTS 81 maxima). This
Page 93 and 94: Chapter 6 Conclusions & Suggestions
Page 95 and 96: CHAPTER 6. CONCLUSIONS & SUGGESTION
Page 97 and 98: Bibliography [1] Addad, Y., Applica
Page 99 and 100: BIBLIOGRAPHY 89 [14] Craft, T. J.,
Page 101 and 102: BIBLIOGRAPHY 91 [30] Kim J., Moin P
Page 103: BIBLIOGRAPHY 93 [47] Niederschulte,
Page 107 and 108: BIBLIOGRAPHY 97 [82] Tu, S. W. & Ra
Page 109 and 110: Figures 99
Page 111 and 112: FIGURES 101 − 〈uv〉 + 1.0 0.9
Page 113 and 114: FIGURES 103 k + 5 4 3 2 1 0 10 0 +
Page 115 and 116: FIGURES 105 1.4 〈vv〉 + 1.2 1.0
Page 117 and 118: FIGURES 107 y ∗ y ∗ 600 500 400
Page 119 and 120: FIGURES 109 y ∗ v2 y ∗ v2 600 5
Page 121 and 122: FIGURES 111 〈U〉 + 〈U〉 + 20
Page 123 and 124: FIGURES 113 〈U〉 + 〈U〉 + 20
Page 125 and 126: FIGURES 115 U U ss U U ss 3.0 3.0 2
Page 127 and 128: FIGURES 117 〈U〉 (Uτ ) ss k (U
Page 131 and 132: FIGURES 121 〈U〉 (Uτ ) ss 〈U
Page 133 and 134: FIGURES 123 k (U 2 τ ) ss k (U 2
Page 139 and 140: FIGURES 129 ( ∂〈P 〉 ∂x ) (
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The UMIST-N Near-Wall Treatment Applied to Periodic Channel Flow

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