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Seminar on "Search for Higher-Order Continuum Transport Equations" - 26 August 2016

Date and Venue Information:
26 August 2016, 5.00 pm, Room No. 2005, Academic Block II

Title of Lecture:
"Search for Higher-Order Continuum Transport Equations" by Professor Amit Agrawal from Department of Mechanical Engineering, IIT Bombay

Abstract
There is evidence in the literature as well as experimental data from our lab suggesting that the Navier-Stokes-Fourier equations are inadequate to explain several observations with low-pressure gas flows.  There seems to be no satisfactory alternative to theoretically describe the flow when the mean free path of the gas is of the order of the characteristic length scale.  The two well established approaches of solving the Boltzmann equation yields the Burnett and Grad 13-moments equations.  However, several shortcomings of these equations are known by now.  This motivated us to explore alternate ways to derive higher-order continuum transport equations.
In this talk, I will first present experimental results on rarefied gas flow in a sudden expansion.  This flow exhibits several unique features not seen with conventional flows; such as discontinuity in pressure gradient at the junction, and absence of flow separation yet an enhanced overall pressure drop.  We will also present the first analytical solution of the Burnett equations for any configuration.  In the second part of this talk, we will discuss our ongoing effort of employing distribution function consistent with Onsager’s reciprocity principle to capture non-equilibrium thermodynamics effects.  I will present these newly derived equations.