Skip to main content
SpringerLink
Log in

Numerical study of the radiometric phenomenon exhibited by a rotating Crookes radiometer

  • Published:
Computational Mathematics and Mathematical Physics Aims and scope Submit manuscript

Abstract

The two-dimensional rarefied gas flow around a rotating Crookes radiometer and the arising radiometric forces are studied by numerically solving the Boltzmann kinetic equation. The computations are performed in a noninertial frame of reference rotating together with the radiometer. The collision integral is directly evaluated using a projection method, while second- and third-order accurate TVD schemes are used to solve the advection equation and the equation for inertia-induced transport in the velocity space, respectively. The radiometric forces are found as functions of the rotation frequency.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Yu. A. Anikin, “Numerical Study of Radiometric Forces via the Direct Solution of the Boltzmann Kinetic Equation,” Comput. Math. Math. Phys. 51, 1251–1266 (2011).

    Article  Google Scholar 

  2. F. G. Cheremisin, “A Conservative Method for Calculation of the Boltzmann Collision Integral,” Dokl. Phys. 42, 607–610 (1997).

    MathSciNet  MATH  Google Scholar 

  3. F. Tcheremissine, “Direct Numerical Solution of the Boltzmann Equation,” 24th International Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. (Melville, New York, 2005), Vol. 762, pp. 667–685.

    Google Scholar 

  4. C. F. Ollivier-Gooch, “Quasi-ENO Schemes for Unstructured Meshes Based on Unlimited Data-Dependent Least-Squares Reconstruction,” J. Comput. Phys. 133, 6–17 (1997).

    Article  MathSciNet  MATH  Google Scholar 

  5. M. E. Hubbard, “Multidimensional Slope Limiters for MUSCL-Type Finite Volume Schemes on Unstructured Grids,” J. Comput. Phys. 155, 54–74 (1999).

    Article  MathSciNet  MATH  Google Scholar 

  6. V. A. Titarev, “Numerical Method for Computing Two-Dimensional Unsteady Rarefied Gas Flows in Arbitrarily Shaped Domains,” Comput. Math. Math. Phys. 49, 1197–1211 (2009).

    Article  MathSciNet  Google Scholar 

  7. P. L. Roe, “Some Contributions to the Modeling of Discontinuous Flows,” Lect. Appl. Math. 22, 163–193 (1985).

    MathSciNet  Google Scholar 

  8. P. K. Sweby, “High Resolution Schemes Using Flux-Limiters for Hyperbolic Conservation Laws,” SIAM J. Numer. Anal. 21, 995–1011 (1984).

    Article  MathSciNet  MATH  Google Scholar 

  9. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Nauka, Moscow, 1986; Pergamon Press, Oxford, 1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    Yu. A. Anikin

Authors
  1. Yu. A. Anikin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu. A. Anikin.

Additional information

Original Russian Text © Yu.A. Anikin, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 11, pp. 2042–2052.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anikin, Y.A. Numerical study of the radiometric phenomenon exhibited by a rotating Crookes radiometer. Comput. Math. and Math. Phys. 51, 1923–1932 (2011). https://doi.org/10.1134/S0965542511110030

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0965542511110030

Keywords

Search

Navigation