Imperial College London
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Professor Aimee S. Morgans

Faculty of Engineering, Department of Mechanical Engineering

Professor of Thermofluids
 
 
 
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Contact

 

+44 (0)20 7594 9975a.morgans

 
 
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Location

 

621City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Yeddula:2022:10.1017/jfm.2022.101,
author = {Yeddula, SR and Guzmán-Iñigo, J and Morgans, AS},
doi = {10.1017/jfm.2022.101},
journal = {Journal of Fluid Mechanics},
title = {A solution for the quasi-one-dimensional linearised Euler equations with heat transfer},
url = {http://dx.doi.org/10.1017/jfm.2022.101},
volume = {936},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The unsteady response of nozzles with steady heat transfer forced by acoustic and/or entropy waves is modelled. The approach is based on the quasi-one-dimensional linearised Euler equations. The equations are cast in terms of three variables, namely the dimensionless mass, stagnation temperature and entropy fluctuations, which are invariants of the system at zero frequency and with no heat transfer. The resulting first-order system of differential equations is then solved using the Magnus expansion method, where the perturbation parameters are the normalised frequency and the volumetric heat transfer. In this work, a measure of the flow non-isentropicity (in this case the steady heat transfer) is used for the first time as an expansion parameter. The solution method was applied to a converging–diverging nozzle with constant heat transfer for both subcritical and supercritical flow cases, showing good agreement with numerical predictions. It was observed that the acoustic and entropy transfer functions of the nozzle strongly depend on the frequency and heat transfer.
AU  - Yeddula,SR
AU  - Guzmán-Iñigo,J
AU  - Morgans,AS
DO  - 10.1017/jfm.2022.101
PY  - 2022///
SN  - 0022-1120
TI  - A solution for the quasi-one-dimensional linearised Euler equations with heat transfer
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2022.101
UR  - https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/solution-for-the-quasionedimensional-linearised-euler-equations-with-heat-transfer/4E167B8F7F808DF4FEE1FEDA426A7500
UR  - http://hdl.handle.net/10044/1/95199
VL  - 936
ER  -
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