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Full-Text Articles in Mechanical Engineering
Statistical Modeling Of Sprays Using The Droplet Distribution Function, Shankar Subramaniam
Statistical Modeling Of Sprays Using The Droplet Distribution Function, Shankar Subramaniam
Shankar Subramaniam
The theoretical foundations of a statistical spray modeling approach based on the droplet distribution function ~ddf!, which was originally proposed by Williams @Phys. Fluids 1, 541 ~1958!#, are established. The equation governing the ddf evolution is derived using an alternative approach. The unclosed terms in the ddf evolution equation are precisely defined, and the regime of applicability of current models is discussed. The theory of point processes is used to rigorously establish the existence of a disintegration of the ddf in terms of a spray intensity, which is the density of expected number of spray droplets in physical space, and …
Statistical Representation Of A Spray As A Point Process, Shankar Subramaniam
Statistical Representation Of A Spray As A Point Process, Shankar Subramaniam
Shankar Subramaniam
The statistical representation of a spray as a finite point process is investigated. One objective is to develop a better understanding of how single-point statistical information contained in descriptions such as the droplet distribution function ~ddf!, relates to the probability density functions ~pdfs! associated with the droplets themselves. Single-point statistical information contained in the droplet distribution function ~ddf! is shown to be related to a sequence of single surrogate-droplet pdfs, which are in general different from the physical single-droplet pdfs. It is shown that the ddf contains less information than the fundamental single-point statistical representation of the spray, which is …
Minimum Error Fickian Diffusion Coefficients For Mass Diffusion In Multicomponent Gas Mixtures, Shankar Subramaniam
Minimum Error Fickian Diffusion Coefficients For Mass Diffusion In Multicomponent Gas Mixtures, Shankar Subramaniam
Shankar Subramaniam
Mass diffusion in multicomponent gas mixtures is governed by a coupled system of linear equations for the diffusive mass fluxes in terms of thermodynamic driving forces, known as the generalized Stefan–Maxwell equation. In computations of mass diffusion in multicomponent gas mixtures, this coupling between the different components results in considerable computational overhead. Consequently, simplified diffusion models for the diffusive mass fluxes as explicit functions of the driving forces are an attractive alternative. These models can be interpreted as an approximate solution to the Stefan–Maxwell equation. Simplified diffusion models require the specification of “effective” diffusion coefficients which are usually expressed as …
A Mixing Model To Improve The Pdf Simulation Of Turbulent Diffusion Flames, A. R. Masri, Shankar Subramaniam, S. B. Pope
A Mixing Model To Improve The Pdf Simulation Of Turbulent Diffusion Flames, A. R. Masri, Shankar Subramaniam, S. B. Pope
Shankar Subramaniam
A new mixing model based on Euclidean minimum spanning trees (EMST), which has been developed by Subramaniam and Pope, is used in the PDF simulation of pilot-stabilized turbulent non-premixed flames. a model equation is solved for the joint PDF of velocity composition and turbulence frequency using a particle mesh method.