48
Views
57
CrossRef citations to date
0
Altmetric
Original Articles

The Joint Pdf of a Scalar and Its Gradient at a Point in a Turbulent Fluid

&
Pages 123-134 | Received 29 Sep 1980, Accepted 27 Jan 1981, Published online: 27 Apr 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (6)

INGER. GRAN & BJØRNF. MAGNUSSEN. (1996) A Numerical Study of a Bluff-Body Stabilized Diffusion Flame. Part 2. Influence of Combustion Modeling And Finite-Rate Chemistry. Combustion Science and Technology 119:1-6, pages 191-217.
Read now
GOSU YANG & IANM. KENNEDY. (1994) The Non-Equilibrium Structure of a Trichloro-ethene Methane Laminar Diffusion Flame. Combustion Science and Technology 101:1-6, pages 349-359.
Read now
D. C. Haworth, M. C. Drake & R. J. Blint. (1988) Stretched Laminar Flamelet Modeling of a Turbulent Jet Diffusion Flame. Combustion Science and Technology 60:4-6, pages 287-318.
Read now
W. A. SIRIGNANO. (1987) Molecular Mixing in a Turbulent Flow: Some Fundamental Considerations. Combustion Science and Technology 51:4-6, pages 307-322.
Read now
G. KOSALY. (1986) Theoretical Remarks on a Phenomenological Model of Turbulent Mixing. Combustion Science and Technology 49:5-6, pages 227-234.
Read now

Articles from other publishers (51)

Constantin Sula, Holger Grosshans & Miltiadis V. Papalexandris. (2022) Large-Eddy Simulations of Spray a Flames Using Explicit Coupling of the Energy Equation with the FGM Database. Flow, Turbulence and Combustion 109:1, pages 193-223.
Crossref
Cesar Dopazo, Peyman Givi & Foluso Ladeinde. (2021) Edward E. O'Brien contributions to reactive-flow turbulence. Physics of Fluids 33:8.
Crossref
Alessio Innocenti, Rodney O. Fox & Sergio Chibbaro. (2021) A Lagrangian probability-density-function model for turbulent particle-laden channel flow in the dense regime. Physics of Fluids 33:5, pages 053308.
Crossref
A. N. Lipatnikov, T. Nilsson, R. Yu, X. S. Bai & V. A. Sabelnikov. (2021) Assessment of a flamelet approach to evaluating mean species mass fractions in moderately and highly turbulent premixed flames. Physics of Fluids 33:4.
Crossref
Cesar Dopazo & Jesus Martin. (2021) Relative motion of two neighboring points on inert and reactive scalar iso-surfaces in homogeneous turbulence. Physics of Fluids 33:3.
Crossref
Arnaud Mura & Song Zhao. (2021) Turbulence topology evolution in weakly turbulent premixed flames. Physics of Fluids 33:3.
Crossref
Mengyuan Yuan, Hengbin Zhang & Chenning Tong. (2021) Investigation of scalar–scalar-gradient filtered joint density function for large eddy simulation of turbulent combustion. Physics of Fluids 33:3.
Crossref
Stefan Heinz. (2021) The continuous eddy simulation capability of velocity and scalar probability density function equations for turbulent flows. Physics of Fluids 33:2.
Crossref
Andrea Seltz, Pascale Domingo & Luc Vervisch. (2021) Solving the population balance equation for non-inertial particles dynamics using probability density function and neural networks: Application to a sooting flame. Physics of Fluids 33:1.
Crossref
Cesar Dopazo, Luis Cifuentes, Juan Hierro & Jesus Martin. (2015) Micro-scale Mixing in Turbulent Constant Density Reacting Flows and Premixed Combustion. Flow, Turbulence and Combustion 96:2, pages 547-571.
Crossref
Masaya Endo, Qianqian Shao, Takahiro Tsukahara & Yasuo Kawaguchi. (2016) Analysis of High Concentration Spikes Appearing in Mass Plume in Nearly Homogeneous Turbulent Flow Based on the PDF Transport Equation. Open Journal of Fluid Dynamics 06:04, pages 472-495.
Crossref
Cesar Celis & Luís Fernando Figueira da Silva. (2015) Lagrangian Mixing Models for Turbulent Combustion: Review and Prospects. Flow, Turbulence and Combustion 94:3, pages 643-689.
Crossref
Ronald Meyers & Keith Deacon. (2015) Space-Time Quantum Imaging. Entropy 17:3, pages 1508-1534.
Crossref
Stefan Schälike, Klaus‐Dieter Wehrstedt, Markus Gawlowski & Axel Schönbucher. (2012) Validation of Submodels for CFD Simulation of n ‐Hexane Pool Flames including Interferometry . Chemie Ingenieur Technik 84:4, pages 484-490.
Crossref
Yanjun Xia & Lance R. Collins. (2011) Bounded stochastic shell mixing model for turbulent mixing of multiple scalars with arbitrary diffusivities. Physics of Fluids 23:6.
Crossref
Ronald E. Meyers, Keith S. Deacon & Yanhua Shih. (2011) Turbulence-free ghost imaging. Applied Physics Letters 98:11.
Crossref
Yanjun Xia, T. Vaithianathan & Lance R. Collins. (2010) Stochastic Shell Model for Turbulent Mixing of Multiple Scalars with Mean Gradients and Differential Diffusion. Flow, Turbulence and Combustion 85:3-4, pages 689-709.
Crossref
D.C. Haworth. (2010) Progress in probability density function methods for turbulent reacting flows. Progress in Energy and Combustion Science 36:2, pages 168-259.
Crossref
V. Babenko & A. Stavrov. (2008) Modeling of the Joint PDF of a Scalar and Its Gradient in Turbulent Mixing. Flow, Turbulence and Combustion 82:2, pages 211-231.
Crossref
V. A. Babenko & Yu. V. Zhukova. (2006) Calculation of the statistical characteristics of a turbulent flow under the action of external forces. Journal of Engineering Physics and Thermophysics 79:1, pages 152-159.
Crossref
A.M. Reynolds. (2002) On The Dynamical Content Of Lagrangian Stochastic Models In The Well-Mixed Class. Boundary-Layer Meteorology 103:1, pages 143-162.
Crossref
A. Cavaliere & R. Ragucci. (2001) Gaseous diffusion flames: simple structures and their interaction. Progress in Energy and Combustion Science 27:5, pages 547-585.
Crossref
B.Scott Brewster, Steven M. Cannon, James R. Farmer & Fanli Meng. (1999) Modeling of lean premixed combustion in stationary gas turbines. Progress in Energy and Combustion Science 25:4, pages 353-385.
Crossref
V. A. Sosinovich, V. A. Babenko & Yu. V. Zhukova. (1998) A closed equation for the joint probability density function of the magnitudes of fluctuations of a turbulent scalar reacting field and its gradient. Journal of Engineering Physics and Thermophysics 71:5, pages 811-836.
Crossref
R. O. Fox. (1997) The Lagrangian spectral relaxation model of the scalar dissipation in homogeneous turbulence. Physics of Fluids 9:8, pages 2364-2386.
Crossref
Nedunchezhian Swaminathan, Shankar Mahalingam & Robert M. Kerr. (1996) Structure of nonpremixed reaction zones in numerical isotropic turbulence. Theoretical and Computational Fluid Dynamics 8:3, pages 201-218.
Crossref
Sanjay M. Correa. (1995) A direct comparison of pair-exchange and IEM models in premixed combustion. Combustion and Flame 103:3, pages 194-206.
Crossref
L. Vervisch, E. Bidaux, K. N. C. Bray & W. Kollmann. (1995) Surface density function in premixed turbulent combustion modeling, similarities between probability density function and flame surface approaches. Physics of Fluids 7:10, pages 2496-2503.
Crossref
Thierry Mantel & Roland Borghi. (1994) A new model of premixed wrinkled flame propagation based on a scalar dissipation equation. Combustion and Flame 96:4, pages 443-457.
Crossref
S. B. Pope. (1994) On the relationship between stochastic Lagrangian models of turbulence and second-moment closures. Physics of Fluids 6:2, pages 973-985.
Crossref
Sanjay M. Correa & Anthony J. Dean. (1994) Turbulent broadening of autoignition limits. Symposium (International) on Combustion 25:1, pages 1293-1299.
Crossref
W. Kollmann & J.-Y. Chen. 1992. Major Research Topics in Combustion. Major Research Topics in Combustion 359 402 .
Feng Gao & Edward E. O’Brien. (1991) Joint probability density function of a scalar and its gradient in isotropic turbulence. Physics of Fluids A: Fluid Dynamics 3:6, pages 1625-1632.
Crossref
Andy D. Leonard & James C. Hill. (1991) Scalar dissipation and mixing in turbulent reacting flows. Physics of Fluids A: Fluid Dynamics 3:5, pages 1286-1299.
Crossref
S.B. Pope. (1991) Computations of turbulent combustion: Progress and challenges. Symposium (International) on Combustion 23:1, pages 591-612.
Crossref
Luis Valiño & César Dopazo. 1991. Advances in Turbulence 3. Advances in Turbulence 3 312 323 .
W. Kollmann. (1990) The pdf approach to turbulent flow. Theoretical and Computational Fluid Dynamics 1:5, pages 249-285.
Crossref
Hudong Chen, Shiyi Chen & Robert H. Kraichnan. (1989) Probability distribution of a stochastically advected scalar field. Physical Review Letters 63:24, pages 2657-2660.
Crossref
Alan R. Kerstein. (1989) Linear-eddy modeling of turbulent transport. II: Application to shear layer mixing. Combustion and Flame 75:3-4, pages 397-413.
Crossref
R. Borghi, A. Picart & M. Gonzalez. 1989. Turbulent Reactive Flows. Turbulent Reactive Flows 564 588 .
P. Arrojo, C. Dopazo, L. Valiño & W.P. Jones. 1988. Tenth International Symposium on Chemical Reaction Engineering. Tenth International Symposium on Chemical Reaction Engineering 1935 1940 .
R. Borghi. (1988) Turbulent combustion modelling. Progress in Energy and Combustion Science 14:4, pages 245-292.
Crossref
P. Arrojo, C. Dopazo, L. Valiño & W.P. Jones. (1988) Numerical simulation of velocity and concentration fields in a continuous flow reactor. Chemical Engineering Science 43:8, pages 1935-1940.
Crossref
R. Borghi & M. Gonzalez. (1986) Applications of lagrangian models to turbulent combustion. Combustion and Flame 63:1-2, pages 239-250.
Crossref
P. Givi, J. I. Ramos & W. A. Sirignano. (1985) Probability Density Function Calculations in Turbulent Chemically Reacting Round Jets, Mixing Layers and One-Dimensional Reactors. Journal of Non-Equilibrium Thermodynamics 10:2.
Crossref
W.P. Jones & J.H. Whitelaw. (1985) Modelling and measurements in turbulent combustion. Symposium (International) on Combustion 20:1, pages 233-249.
Crossref
S.B. Pope. (1985) PDF methods for turbulent reactive flows. Progress in Energy and Combustion Science 11:2, pages 119-192.
Crossref
S.K. Liew, K.N.C. Bray & J.B. Moss. (1984) A stretched laminar flamelet model of turbulent nonpremixed combustion. Combustion and Flame 56:2, pages 199-213.
Crossref
W. SIRIGNANO. (1984) Molecular mixing in a turbulent flow - Some fundamental considerations. Molecular mixing in a turbulent flow - Some fundamental considerations.
N. Peters. (1984) Laminar diffusion flamelet models in non-premixed turbulent combustion. Progress in Energy and Combustion Science 10:3, pages 319-339.
Crossref
N. Peters. (2010) Statistical Properties of Non‐Equilibrium Effects in Turbulent Diffusion Flames. Berichte der Bunsengesellschaft für physikalische Chemie 87:11, pages 989-992.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.