Imperial College London
Alternate

Dr John Craske

Faculty of Engineering, Department of Civil and Environmental Engineering

Senior Lecturer
 
 
 
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Contact

 

+44 (0)20 7594 9702john.craske07 Website

 
 
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Assistant

 

Miss Rebecca Naessens +44 (0)20 7594 5990

 
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Location

 

328BSkempton BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Craske:2016:imamat/hxw043,
author = {Craske, J},
doi = {imamat/hxw043},
journal = {IMA Journal of Applied Mathematics},
title = {The properties of integral models for planar and axisymmetric unsteady jets},
url = {http://dx.doi.org/10.1093/imamat/hxw043},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - This article reviews and builds upon recent progress that has been made in understanding the mathematical properties of integral models for unsteady turbulent jets. The focus is on models that describe the evolution of the volume flux and the momentum flux in a jet, whose source conditions are time dependent. A generalized approach that postpones making assumptions about the ‘internal’ properties of the flow, such as the radial dependence of the longitudinal velocity profile, turbulent transport and pressure, allows one to understand how the resulting integral equations are affected by model-specific assumptions. Whereas the assumptions invoked in previous unsteady jet models have resulted in a parabolic system of equations, generalized equations that are derived from first principles have a hyperbolic character and statistical stability that depends sensitively on assumptions that are normally invoked a priori. Unsteady axisymmetric jets with Gaussian velocity profiles have special properties, including a tendency to remain straight-sided (conical) and marginal stability in response to source perturbations. A distinct difference between planar jets and axisymmetric jets is that the mean energy flux, which plays a leading-order role in determining the unsteady dynamics of jets, is significantly lower in planar jets. We hypothesize that in order to maintain marginal stability the turbulence and pressure fields in planar jets adjust themselves, relative to axisymmetric jets, to compensate for the lower mean energy flux.
AU  - Craske,J
DO  - imamat/hxw043
PY  - 2016///
SN  - 0272-4960
TI  - The properties of integral models for planar and axisymmetric unsteady jets
T2  - IMA Journal of Applied Mathematics
UR  - http://dx.doi.org/10.1093/imamat/hxw043
UR  - http://hdl.handle.net/10044/1/38998
ER  -
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