Investigation of Internal Flow of Binary Gas in a Rotating Cylinder Using Direct Simulation Monte-Carlo (DSMC)

Authors

Assoc. Prof., Mech. Eng., Amirkabir University of Technology, Tehran, Iran

Abstract

In this paper a rarefied binary gas mixture flow of Argon and Helium inside a rotating cylinder with constant angular velocity and constant wall temperature is investigated using the direct simulation of Monte - Carlo (DSMC) method. The number of different molecules were used, to study the dependence of the solution to number molecule model. The results show that increasing the number of molecules model is more accurate, but On the other hand increase the simulation time. Also for modeling the intermolecular collision, the variable soft sphere (VSS) and the variable hard sphere (VHS) were investigated in present work and the results were compared with each other. The results show that the variable soft sphere model (VSS) compared to the variable hard sphere model (VHS) for the temperature of the mixture near the cylinder walls more carefully. The analytical solution is also presented and compared with the current simulation results.

Keywords

Main Subjects


[1] Bird GA  (1994) Molecular gas dynamics and the direct simulation of gas flows. Oxford University Press.
[2] Yang JY, Huang JC (1995) Rarefied flow computations using nonlinear model boltzmann equations. J Comput Phys 120: 323-339.
[3] Rjasanow S, Wagner WA (1998) Generalized collision mechanism for stochastic particle schemes approximating boltzmann-type equations. Computers Math Applic 35(1-2): 165-178.
[4] Bobylev AV, Rjasanow S (1999) Fast determ- inistic method of solving boltzmann equation for hard spheres. Mech B-Fluids 18: 869-887.
[5] Mieussens L (2000) Discrete velocity model and implicit scheme for the BGK Equation of  rarefied gas dynamics. Math  Models and Met. in Applied Sci 10(8): 1121-1149.
[6] Mieussens L (2000) Discrete velocity models and numerical schemes for the boltzmann BGK equation in plane and axisymmetric geometries. J Comput Phys 162: 429-466.
[7] Montanero JM, Garzo V (2002) Rheological properties  in a low-density granular mixture. Physica A 310:17-38.
[8] Raines A(2002) Study of a shock wave structure in gas mixtures on the basis of the boltzmann equation. Eur J Mech B-Fluid 21: 599-610.
[9] Nourazar SS, Hosseini SM, Ramezani A,  Dehghanpour HR (2005) Comparison  between the Navier-Stokes and the Boltzmann equations for the simulation of an axially symmetric compressible flow with shock wave using the Monte-Carlo method. Computational Methods and  Experimental  Measurements XII, WIT Transaction on Modeling and Simulationl 41: 41-69.
[10] Lan X, Li ZX, Wang M (2005) Similarity of microscale and rarefied gas flows. ASME 3rd International Conference on Microchannels and Minichannels ICMM2005 June 13-15, Toronto, Ontario, Canada.
[11] Prasanth, PS,  Kakkassery  J K (2008) Molecular models for simulation of rarefied gas flows using direct simulation Monte Carlo method, Fluid Dyn Res 40(4): 233-252.
[12] Ganjaei AA and Nourazar S (2009) A new algorithm for the simulation of the Boltzmann equation using the direct simulation Monte-Carlo method. J Mech Sci Technol 23: 2861–2870.
 [13] ابوطالبی علی (1389) بررسی اثرات چرخش استوانه در جریان داخلی مخلوط گازهای آرگون و هلیوم به روش شبیه سازی مسقیم مونت کارلو، کارشناسی ارشد، بیرجند، دانشگاه بیرجند.
[14] Cercignani C (1988) The Boltzman equation and its applications, Lectures series in mathematics. 68, Berlin, New York, Springer-Verlag.