Engineering Calculation Methods for Turbulent Flow by Bradshaw, Peter ; Tuncer Cebeci; James Whitelaw. Used; hardcover; Condition Very Good Plus/No Dust Jacket ISBN 10 0121245500 ISBN 13 9780121245504 Seller AbeBooks.com: Engineering Calculation Methods for Turbulent Flow (9780121245504) by Peter Bradshaw; Tuncer Cebeci; James Whitelaw and a great selection of similar New, Used and Collectible Books available now at great prices. Jun 4, 2009 · The approach of Reynolds-averaged Navier–Stokes equations (RANS) for the modeling of turbulent flows is reviewed. The subject is mainly considered in the limit of incompressible flows with constant properties. After the introduction of the concept of Reynolds decomposition and averaging, different classes of RANS turbulence models are presented, and, in particular, zero-equation models, one ... Engineering Calculation Methods for Turbulent Flow by Bradshaw, Peter ; Tuncer Cebeci; James Whitelaw. Used; hardcover; Condition Very Good Plus/No Dust Jacket ISBN 10 0121245500 ISBN 13 9780121245504 Seller Mar 28, 2006 · The turbulent energy equation is converted into a differential equation for the turbulent shear stress by defining three empirical functions relating the turbulent intensity, diffusion and dissipation to the shear stress profile. This equation, the mean momentum equation and the mean continuity equation form a hyperbolic system. Princeton University Library One Washington Road Princeton, NJ 08544-2098 USA (609) 258-1470 Two pervasive themes that are not routinely familiar to turbulent-flow workers are the exploitation of balance equations for probability-density functions (rather than the more popular covariance and spectral functions) and, in variable-density problems, the use of density-weighted averages (‘ Favre averages ’) of the random field variables. AbeBooks.com: Engineering Calculation Methods for Turbulent Flow (9780121245504) by Peter Bradshaw; Tuncer Cebeci; James Whitelaw and a great selection of similar New, Used and Collectible Books available now at great prices. EngineeringCalculationMethods forTurbulentFlow PETERBRADSHAW DepartmentofAeronautics ImperialCollegeofScienceandTechnology London TUNCERCEBECI ... Peter Bradshaw took his B.A. in Aeronautical Engineering at Cambridge University in 1957, and worked in the Aerodynamics Division of the National Physical Laboratory until 1969. He then joined the Department of Aeronautics, Imperial College, London University, where he was Professor of Experimental Aerodynamics until 1988. Jul 21, 2021 · Streamline curvature in the plane of the mean shear produces surprisingly large changes in the turbulence structure of shear layers. These changes are usually an order of magnitude more important than normal pressure gradients and other explicit terms appearing in the mean-motion equations for curved flows. Figure 8: An example of applying statistical inference and ML to turbulent flows over airfoils. (a) Pressure over an airfoil surface. (b) Baseline flow prediction (pressure contours and streamlines). ... 7. Basics of Turbulent Flow Whether a flow is laminar or turbulent depends of the relative importance of fluid friction (viscosity) and flow inertia. The ratio of inertial to viscous forces is the Reynolds number. Given the characteristic velocity scale, U, and length scale, L, for a system, the Reynolds 532.05101194 c739 computational methods for turbulent, transenic, and viscous flow: 532.0527 in8t turbulent shear flows 2: 532.0527 r631i interaction between dispersed particles and fluid turbulence in a flat-plate turbulent boundary layer in air From the reviews: "The book has a broad and general coverage of both the mathematics and the numerical methods well suited for graduate students."Applied Mechanics Reviews #1 "This is a very well written book. Download and Read online engineering calculation methods for turbulent flow ebooks in PDF, epub, Tuebl Mobi, Kindle Book. Get Free engineering calculation methods for turbulent flow Textbook and unlimited access to our library by created an account. Sep 1, 1995 · Richardson extrapolation has been applied to turbulent pipe flow and turbulent flow past a backward facing step. A commercial CFD code is used for this purpose. It is found that the application of the method is not straightforward and some aspects need careful consideration. Some of the problems are elucidated. The particular code used for the present application employs a hybrid scheme, and ... present volume on calculation methods included references 2, 5, 8, 9, and 12. Several review and background articles are also available (e.g. , refs. 13 to 25). All of these were quite valuable, especially the papers of Reynolds (refs. 19 and 20) and Bradshaw (ref. 22). Another category of general references is con- @misc{etde_6717609, title = {Engineering calculation methods for turbulent flow} author = {Bradshaw, P, Cebeci, T, and Whitelaw, J H} abstractNote = {The use of partial differential equations to describe a wide range of flow conditions are examined. The emphasis is placed on conservation equations and the physical assumptions necessary to ... Apr 20, 2006 · Engineering Calculation Methods for Turbulent Flow. By P. BRADSHAW, T. CEBECI and J. H. WHITELAW. Academic, 1981. 331 pp. £18.60/$45.00. - Volume 121 ignored by authors of calculation methods and of review articles. As indicated by McDonald (Bertram 1969) integral calculation methods (solving ordinary differential equations for integral parameters) usually depend on the transformation of an incompressible-flow method, and stand or fall with the transformation. Mar 18, 2022 · The calculation of the pressure field on and around solid bodies exposed to external flow is of paramount importance to a number of engineering applications. However, conventional pressure measurement techniques are inherently linked to problems principally caused by their point-wise and/or intrusive nature. In the present paper, we attempt to calculate a time-averaged two-dimensional pressure ... Practical Problems in Turbulent Reacting Flows (A. M. Mellor & C. R. 3. Turbulent Flows with Nonpremixed Reactants (R. W. Bilger); 4. Turbulent Flows with Premixed Reactants; 5. The Probability Density Function (pdf) Approach to Reacting Turbulent Flows 6. Perspective and Research Topics (P. A. Libby & F. A. Williams). and F. A. WILLIAMS. Figure 8: An example of applying statistical inference and ML to turbulent flows over airfoils. (a) Pressure over an airfoil surface. (b) Baseline flow prediction (pressure contours and streamlines). ... Oct 19, 2020 · Mathematical models , Partial Differential equations , Turbulence. Showing 1 featured edition. View all 1 editions? Edition. Availability ↑. 1. Engineering calculation methods for turbulent flow. 1981, Academic Press. in English. Title: An Introduction to Turbulence and Its Measurement Commonwealth and International Library. Thermodynamics and F Commonwealth and international library of science, technology, engineering and liberal studies: Thermodynamics and fluid mechanics division Peter Bradshaw took his B.A. in Aeronautical Engineering at Cambridge University in 1957, and worked in the Aerodynamics Division of the National Physical Laboratory until 1969. He then joined the Department of Aeronautics, Imperial College, London University, where he was Professor of Experimental Aerodynamics until 1988. Aug 19, 2002 · Peter S. Bernard, PhD, is Professor of Mechanical Engineering at the University of Maryland. He is a fellow of the American Physical Society and serves as Chief Technology Officer of VorCat, Inc., a start-up company developing computer software for turbulent flow prediction based on his research in gridfree vortex methods. The Calculation of Incompressible Three-Dimensional Laminar and Turbulent Boundary Layers in the Plane of Symmetry of a Prolate Spheroid at Incidence. DFVLRFB 82–16 (1982). Google Scholar. Ragab, S.A., A Method for the Calculation of Three-Dimensional Boundary Layers with Circumferential Reversed Flow on Bodies. Mar 18, 2022 · The calculation of the pressure field on and around solid bodies exposed to external flow is of paramount importance to a number of engineering applications. However, conventional pressure measurement techniques are inherently linked to problems principally caused by their point-wise and/or intrusive nature. In the present paper, we attempt to calculate a time-averaged two-dimensional pressure ... Apr 20, 2006 · Engineering Calculation Methods for Turbulent Flow. By P. BRADSHAW, T. CEBECI and J. H. WHITELAW. Academic, 1981. 331 pp. £18.60/$45.00. - Volume 121 Responsibility Peter Bradshaw, Tuncer Cebeci, James H. Whitelaw. Imprint London ; New York : Academic Press, 1981. Physical description xii, 331 p. : ill. ; 24 cm. Figure 8: An example of applying statistical inference and ML to turbulent flows over airfoils. (a) Pressure over an airfoil surface. (b) Baseline flow prediction (pressure contours and streamlines). ... Calculation of turbulent fluid flow in this paper is performed using a two-equation turbulent finite element model that can calculate values in the viscous sublayer. Methods: Implicit integration of the equations is used for determining the fluid velocity, turbulent kinetic energy and dissipation of turbulent kinetic energy. These values are ... Sections 13.4 and 13.5 described the numerical method and computer program used to obtain the boundary-layer flow results of Chapters 4 to 12. The following four sections of this chapter describe the steps required to obtain results for four new problems, in sufficient detail that a reader may reproduce earlier results for him- or herself and ... The Calculation of Incompressible Three-Dimensional Laminar and Turbulent Boundary Layers in the Plane of Symmetry of a Prolate Spheroid at Incidence. DFVLRFB 82–16 (1982). Google Scholar. Ragab, S.A., A Method for the Calculation of Three-Dimensional Boundary Layers with Circumferential Reversed Flow on Bodies. Responsibility Peter Bradshaw, Tuncer Cebeci, James H. Whitelaw. Imprint London ; New York : Academic Press, 1981. Physical description xii, 331 p. : ill. ; 24 cm. Jun 1, 1995 · This paper describes a full Reynolds stress transport equation model for predicting developing turbulent flow in rectangular ducts. The pressure-strain component of the model is based on a modified form of the Launder, Reece and Rodi pressure-strain model and the use of a linear wall damping function. Predictions based on this model are compared with predictions referred to high Reynolds ... Jul 4, 2016 · A Reynolds-stress model of turbulence and its application to thin shear flows. Journal of Fluid Mechanics, Vol 52, p. 609, 1972. Google Scholar. 49. Donaldson, C. duP. and Rosenbaum, H. Calculation of turbulent shear flows through closure of the Reynolds equations by invariant modelling. ARAP Inc Report 127, 1968. Practical Problems in Turbulent Reacting Flows (A. M. Mellor & C. R. 3. Turbulent Flows with Nonpremixed Reactants (R. W. Bilger); 4. Turbulent Flows with Premixed Reactants; 5. The Probability Density Function (pdf) Approach to Reacting Turbulent Flows 6. Perspective and Research Topics (P. A. Libby & F. A. Williams). and F. A. WILLIAMS. Engineering Calculation Methods for Turbulent Flow by Peter Bradshaw; Tuncer Cebeci; James H. Whitelaw and a great selection of related books, art and collectibles available now at AbeBooks.com. Figure 8: An example of applying statistical inference and ML to turbulent flows over airfoils. (a) Pressure over an airfoil surface. (b) Baseline flow prediction (pressure contours and streamlines). ... Jul 15, 2023 · book Engineering calculation methods for turbulent flow Peter Bradshaw, James H Whitelaw, Tuncer Cebeci Published in 1981 in London by Academic press Practical Problems in Turbulent Reacting Flows (A. M. Mellor & C. R. 3. Turbulent Flows with Nonpremixed Reactants (R. W. Bilger); 4. Turbulent Flows with Premixed Reactants; 5. The Probability Density Function (pdf) Approach to Reacting Turbulent Flows 6. Perspective and Research Topics (P. A. Libby & F. A. Williams). and F. A. WILLIAMS. In turbulent flow the flow rate is proportional to the square root of the pressure gradient, as opposed to its direct proportionality to pressure gradient in laminar flow. Using the definition of the Reynolds number we can see that a large diameter with rapid flow, where the density of the blood is high, tends towards turbulence. Responsibility Peter Bradshaw, Tuncer Cebeci, James H. Whitelaw. Imprint London ; New York : Academic Press, 1981. Physical description xii, 331 p. : ill. ; 24 cm. Cebeci, T. ; Whitelaw, J. H. The use of partial differential equations to describe a wide range of flow conditions are examined. The emphasis is placed on conservation equations and the physical assumptions necessary to characterize turbulent flow and on numerical procedures for calculating the flow around airfoils and wings. Nov 22, 2019 · Turbulent flows represent the non-stationary chaotic motion of liquid or gaseous media. Thus, it is impossible to give a strict mathematical description of the real picture of the turbulent flows. As a result, the virtual flow of the so-called quasi-stationary flow is realized. Aug 19, 2002 · Peter S. Bernard, PhD, is Professor of Mechanical Engineering at the University of Maryland. He is a fellow of the American Physical Society and serves as Chief Technology Officer of VorCat, Inc., a start-up company developing computer software for turbulent flow prediction based on his research in gridfree vortex methods. Engineering Calculation Methods for Turbulent Flow. Peter Bradshaw. 0.00. 0 ... Jul 21, 2021 · Streamline curvature in the plane of the mean shear produces surprisingly large changes in the turbulence structure of shear layers. These changes are usually an order of magnitude more important than normal pressure gradients and other explicit terms appearing in the mean-motion equations for curved flows. Practical Problems in Turbulent Reacting Flows (A. M. Mellor & C. R. 3. Turbulent Flows with Nonpremixed Reactants (R. W. Bilger); 4. Turbulent Flows with Premixed Reactants; 5. The Probability Density Function (pdf) Approach to Reacting Turbulent Flows 6. Perspective and Research Topics (P. A. Libby & F. A. Williams). and F. A. WILLIAMS. Peter Bradshaw took his B.A. in Aeronautical Engineering at Cambridge University in 1957, and worked in the Aerodynamics Division of the National Physical Laboratory until 1969. He then joined the Department of Aeronautics, Imperial College, London University, where he was Professor of Experimental Aerodynamics until 1988. 7. Basics of Turbulent Flow Whether a flow is laminar or turbulent depends of the relative importance of fluid friction (viscosity) and flow inertia. The ratio of inertial to viscous forces is the Reynolds number. Given the characteristic velocity scale, U, and length scale, L, for a system, the Reynolds Turbulence. In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flow velocity. It is in contrast to a laminar flow, which occurs when a fluid flows in parallel layers, with no disruption between those layers. [1] Mar 28, 2006 · The turbulent energy equation is converted into a differential equation for the turbulent shear stress by defining three empirical functions relating the turbulent intensity, diffusion and dissipation to the shear stress profile. This equation, the mean momentum equation and the mean continuity equation form a hyperbolic system. EngineeringCalculationMethods forTurbulentFlow PETERBRADSHAW DepartmentofAeronautics ImperialCollegeofScienceandTechnology London TUNCERCEBECI ... 26 Engineering Calculation Methods for Turbulent Flow 2 5 Averaged momentum equation With 0 = U + u,P = P + p and neglecting correlations with density fluctua tions the assumption that t/ = hm - - j &(x„X 2 ,X 3 ,l)dt ^1 “ h J(3 (t, - tj) are the mean and fluctuating parts of the scalar being considered, and r® is its diffusivity. The ... Sections 13.4 and 13.5 described the numerical method and computer program used to obtain the boundary-layer flow results of Chapters 4 to 12. The following four sections of this chapter describe the steps required to obtain results for four new problems, in sufficient detail that a reader may reproduce earlier results for him- or herself and ... Princeton University Library One Washington Road Princeton, NJ 08544-2098 USA (609) 258-1470 Practical Problems in Turbulent Reacting Flows (A. M. Mellor & C. R. 3. Turbulent Flows with Nonpremixed Reactants (R. W. Bilger); 4. Turbulent Flows with Premixed Reactants; 5. The Probability Density Function (pdf) Approach to Reacting Turbulent Flows 6. Perspective and Research Topics (P. A. Libby & F. A. Williams). and F. A. WILLIAMS. Practical Problems in Turbulent Reacting Flows (A. M. Mellor & C. R. 3. Turbulent Flows with Nonpremixed Reactants (R. W. Bilger); 4. Turbulent Flows with Premixed Reactants; 5. The Probability Density Function (pdf) Approach to Reacting Turbulent Flows 6. Perspective and Research Topics (P. A. Libby & F. A. Williams). and F. A. WILLIAMS. Preface Manycalculationmethodshavebeendevelopedforturbulentflowsand theyprovideusefulinformationoverlimitedrangesofboundaryconditions. Correlationequations ... Apr 20, 2006 · Engineering Calculation Methods for Turbulent Flow. By P. BRADSHAW, T. CEBECI and J. H. WHITELAW. Academic, 1981. 331 pp. £18.60/$45.00. - Volume 121 In this chapter we consider the finite-difference solution of the thin-shearlayer equations presented in previous chapters. In Section 13.1 we present a brief review of finite-difference techniques, discussing the relative advantages of implicit and explicit methods. As a result, the implicit Box scheme is preferred, and its use in internal and ... Jul 15, 2023 · book Engineering calculation methods for turbulent flow Peter Bradshaw, James H Whitelaw, Tuncer Cebeci Published in 1981 in London by Academic press Aug 19, 2002 · Peter S. Bernard, PhD, is Professor of Mechanical Engineering at the University of Maryland. He is a fellow of the American Physical Society and serves as Chief Technology Officer of VorCat, Inc., a start-up company developing computer software for turbulent flow prediction based on his research in gridfree vortex methods. Sep 1, 1995 · Richardson extrapolation has been applied to turbulent pipe flow and turbulent flow past a backward facing step. A commercial CFD code is used for this purpose. It is found that the application of the method is not straightforward and some aspects need careful consideration. Some of the problems are elucidated. The particular code used for the present application employs a hybrid scheme, and ... Cebeci, T. and Khattab, A. A.: Prediction of turbulent-free-convective-heat transfer from a vertical flat plate. J. Heat Transfer 97:469 (1975). CrossRef Google Scholar Warner, C. Y. and Arpaci, V. S.: An experimental investigation of turbulent natural convection in air along a vertical heated flat plate. Int. J. Practical Problems in Turbulent Reacting Flows (A. M. Mellor & C. R. 3. Turbulent Flows with Nonpremixed Reactants (R. W. Bilger); 4. Turbulent Flows with Premixed Reactants; 5. The Probability Density Function (pdf) Approach to Reacting Turbulent Flows 6. Perspective and Research Topics (P. A. Libby & F. A. Williams). and F. A. WILLIAMS. Title: An Introduction to Turbulence and Its Measurement Commonwealth and International Library. Thermodynamics and F Commonwealth and international library of science, technology, engineering and liberal studies: Thermodynamics and fluid mechanics division From the reviews: "The book has a broad and general coverage of both the mathematics and the numerical methods well suited for graduate students."Applied Mechanics Reviews #1 "This is a very well written book. Sections 13.4 and 13.5 described the numerical method and computer program used to obtain the boundary-layer flow results of Chapters 4 to 12. The following four sections of this chapter describe the steps required to obtain results for four new problems, in sufficient detail that a reader may reproduce earlier results for him- or herself and ... Jan 1, 1981 · Engineering Calculation Methods for Turbulent Flow [Peter Bradshaw, Tuncer Cebeci, James Whitelaw] on Amazon.com. *FREE* shipping on qualifying offers. Engineering Calculation Methods for Turbulent Flow Figure 8: An example of applying statistical inference and ML to turbulent flows over airfoils. (a) Pressure over an airfoil surface. (b) Baseline flow prediction (pressure contours and streamlines). ... Engineering Calculation Methods for Turbulent Flow PETER BRADSHAW Department of Aeronautics Imperial College of Science and Technology London TUNCER CEBECI Mechanical Engineering Department California State University and Research Aerodynamics Subdivision Douglas Aircraft Company Long Beach California JAMES H. WHITELAW Department of M... Mar 28, 2006 · The turbulent energy equation is converted into a differential equation for the turbulent shear stress by defining three empirical functions relating the turbulent intensity, diffusion and dissipation to the shear stress profile. This equation, the mean momentum equation and the mean continuity equation form a hyperbolic system. In this chapter we consider the finite-difference solution of the thin-shearlayer equations presented in previous chapters. In Section 13.1 we present a brief review of finite-difference techniques, discussing the relative advantages of implicit and explicit methods. As a result, the implicit Box scheme is preferred, and its use in internal and ... Engineering Calculation Methods for Turbulent Flow by Peter Bradshaw, Tuncer Cebeci, James Whitelaw and a great selection of related books, art and collectibles available now at AbeBooks.com. We have 3 copies of Engineering Calculation Methods for Turbulent Flow for sale starting from $29.16. This website uses cookies. We value your privacy and use cookies to remember your shopping preferences and to analyze our website traffic. Download and Read online engineering calculation methods for turbulent flow ebooks in PDF, epub, Tuebl Mobi, Kindle Book. Get Free engineering calculation methods for turbulent flow Textbook and unlimited access to our library by created an account. Engineering Calculation Methods for Turbulent Flow. Peter Bradshaw. 0.00. 0 ... Practical Problems in Turbulent Reacting Flows (A. M. Mellor & C. R. 3. Turbulent Flows with Nonpremixed Reactants (R. W. Bilger); 4. Turbulent Flows with Premixed Reactants; 5. The Probability Density Function (pdf) Approach to Reacting Turbulent Flows 6. Perspective and Research Topics (P. A. Libby & F. A. Williams). and F. A. WILLIAMS. Peter Bradshaw is the author of Physical and Computational Aspects of Convective Heat Transfer (5.00 avg rating, 5 ratings, 0 reviews, published 1984), S... Engineering Calculation Methods for Turbulent Flow PETER BRADSHAW Department of Aeronautics Imperial College of Science and Technology London TUNCER CEBECI Mechanical Engineering Department California State University and Research Aerodynamics Subdivision Douglas Aircraft Company Long Beach California JAMES H. WHITELAW Department of M... Buy Engineering Calculation Methods for Turbulent Flow by Peter Bradshaw online at Alibris. We have new and used copies available, in 1 editions - starting at $18.66. We have 3 copies of Engineering Calculation Methods for Turbulent Flow for sale starting from $29.16. This website uses cookies. We value your privacy and use cookies to remember your shopping preferences and to analyze our website traffic. Sep 1, 1995 · Richardson extrapolation has been applied to turbulent pipe flow and turbulent flow past a backward facing step. A commercial CFD code is used for this purpose. It is found that the application of the method is not straightforward and some aspects need careful consideration. Some of the problems are elucidated. The particular code used for the present application employs a hybrid scheme, and ...
Download and Read online engineering calculation methods for turbulent flow ebooks in PDF, epub, Tuebl Mobi, Kindle Book. Get Free engineering calculation methods for turbulent flow Textbook and unlimited access to our library by created an account. . Nikki daniels
Full text of "Engineering Calculation Methods For Turbulent Flow" See other formats ... Abstract. The main distinction between the treatment of turbulent flow in this chapter and Chapter 7 and the treatment of laminar flows in Chapters 4 and 5 is that whereas the diffusivities of momentum and heat are known transport properties in laminar flow, the effective diffusivities in turbulent flow are not. Jul 21, 2021 · Streamline curvature in the plane of the mean shear produces surprisingly large changes in the turbulence structure of shear layers. These changes are usually an order of magnitude more important than normal pressure gradients and other explicit terms appearing in the mean-motion equations for curved flows. The numerical simulation of turbulent flow fields by solving the Navier Stokes equations is no longer limited to basic research applications. New high speed vector computers along with fast numerical algorithms and better physical models allow pioneering application even in industry. The emphasis in the following article will be on the ... Engineering Calculation Methods for Turbulent Flow by Peter Bradshaw; Tuncer Cebeci; James H. Whitelaw and a great selection of related books, art and collectibles available now at AbeBooks.com. EngineeringCalculationMethods forTurbulentFlow PETERBRADSHAW DepartmentofAeronautics ImperialCollegeofScienceandTechnology London TUNCERCEBECI ... Engineering Calculation Methods for Turbulent Flow PETER BRADSHAW Department of Aeronautics Imperial College of Science and Technology London TUNCER CEBECI Mechanical Engineering Department California State University and Research Aerodynamics Subdivision Douglas Aircraft Company Long Beach California JAMES H. WHITELAW Department of M... Sep 1, 1995 · Richardson extrapolation has been applied to turbulent pipe flow and turbulent flow past a backward facing step. A commercial CFD code is used for this purpose. It is found that the application of the method is not straightforward and some aspects need careful consideration. Some of the problems are elucidated. The particular code used for the present application employs a hybrid scheme, and ... What are you looking for Book "Engineering Calculation Methods For Turbulent Flows" ? Click "Read Now PDF" / "Download", Get it for FREE, Register 100% Easily. You can read all your books for as long as a month for FREE and will get the latest Books Notifications. SIGN UP NOW! 7. Basics of Turbulent Flow Whether a flow is laminar or turbulent depends of the relative importance of fluid friction (viscosity) and flow inertia. The ratio of inertial to viscous forces is the Reynolds number. Given the characteristic velocity scale, U, and length scale, L, for a system, the Reynolds AbeBooks.com: Engineering Calculation Methods for Turbulent Flow (9780121245504) by Peter Bradshaw; Tuncer Cebeci; James Whitelaw and a great selection of similar New, Used and Collectible Books available now at great prices. Jul 4, 2016 · A Reynolds-stress model of turbulence and its application to thin shear flows. Journal of Fluid Mechanics, Vol 52, p. 609, 1972. Google Scholar. 49. Donaldson, C. duP. and Rosenbaum, H. Calculation of turbulent shear flows through closure of the Reynolds equations by invariant modelling. ARAP Inc Report 127, 1968. .