#
APS April Meeting 2017

## Volume 62, Number 1

##
Saturday–Tuesday, January 28–31, 2017;
Washington, DC

### Session R2: Computational Physics

10:45 AM–12:45 PM,
Monday, January 30, 2017

Room: Maryland B

Sponsoring
Unit:
DCOMP

Abstract ID: BAPS.2017.APR.R2.9

### Abstract: R2.00009 : DSMC Simulation of High Mach Number Taylor-Couette Flow

12:21 PM–12:33 PM

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Abstract

####
Author:

Dr. Sahadev Pradhan

(Department of Chemical Engineering, Indian Institute of Science, Bangalore- 560 012, India)

The main focus of this work is to characterise the Taylor-Couette flow of an
ideal gas between two coaxial cylinders at Mach number \textit{Ma }$=$\textit{ (U\textunderscore w / }$\backslash
$\textit{sqrt\textbraceleft kb T\textunderscore w / m\textbraceright )}in the range 0.01 \textless Ma \textless 10, and Knudsen number \textit{Kn }$=$\textit{ (1 / (}$\backslash
$\textit{sqrt\textbraceleft 2\textbraceright }$\backslash $\textit{pi d\textasciicircum 2 n\textunderscore d (r\textunderscore 2 - r\textunderscore 1))) }in the range 0.001 \textless Kn \textless 5, using
two-dimensional (2D) direct simulation Monte Carlo (DSMC) simulations. Here,
\textit{r\textunderscore 1}and \textit{r\textunderscore 2}are the radius of inner and outer cylinder respectively,
\textit{U\textunderscore w}is the circumferential wall velocity of the inner cylinder,
\textit{T\textunderscore w}is the isothermal wall temperature, \textit{n\textunderscore d}is the number density of the gas
molecules, $m$and $d$ are the molecular mass and diameter, and \textit{kb}is the Boltzmann
constant. The cylindrical surfaces are specified as being diffusely
reflecting with the thermal accommodation coefficient equal to one.
In the present analysis of high Mach number compressible Taylor-Couette flow
using DSMC method, wall slip in the temperature and the velocities are found
to be significant. Slip occurs because the temperature/velocity of the
molecules incident on the wall could be very different from that of the
wall, even though the temperature/velocity of the reflected molecules is
equal to that of the wall. Due to the high surface speed of the inner
cylinder, significant heating of the gas is taking place. The gas
temperature increases until the heat transfer to the surface equals the work
done in moving the surface. The highest temperature is obtained near the
moving surface of the inner cylinder at a radius of about (1.26
r\textunderscore 1).

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2017.APR.R2.9