What is it about?
Burnett equations are superset of the Navier-Stokes equations, and extremely complex to solve. In this paper, are able to find an analytical solution of these equations (among the first such solutions ever found) for flow of gas in a plain channel.
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Why is it important?
1. The work shows that it is possible to obtain analytical solution of the Burnett solution - something which was considered to be almost impossible earlier 2. The solution does not need more assumptions than that needed with the Navier-Stokes equations 3. Extends the range over which a solution is now available 4. The obtained solution can be used for benchmarking numerical data and other analytical approaches
Perspectives
There is a definite need to look beyond the celebrated Navier-Stokes equations. This work does just that and presents a case which has not received adequate attention in the past. We hope that the work will generate interest in the community to look at these higher order equations more carefully.
Amit Agrawal
Indian Institute of Technology Bombay
Read the Original
This page is a summary of: A perturbation-based solution of Burnett equations for gaseous flow in a long microchannel, Journal of Fluid Mechanics, April 2018, Cambridge University Press,
DOI: 10.1017/jfm.2018.233.
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