A Study about the steady-state regime on rotating compressible fluids and its application on a diffraction problem.

POSTER

Abstract

We develop a general study about the steady-state regime on rotating compressible fluids. We deduce an equation for the amplitude of the stabilized oscillations, and we obtain its fundamental solution. We establish the non-stationary problem for the field of velocities generated by the diffraction of an acoustic wave in a finite barrier within a rotating compressible fluid. We also solve analytically this problem and we study its behavior when the time tends to infinity. Then we apply the previously developed theory for the steady-state regime to obtain the mentioned field of velocities for big times, and by this way we obtain that the system reaches a steady-state regime and we verify that the same expressions of the limit amplitude are obtained.

Authors

  • Erick Muino-Garcia

    CINVESTAV-IPN

  • Don Anderson

    Univ of Michigan - Ann Arbor, The University of Texas at Dallas, Ball State University, Department of Physics, Kettering University, Institute of Physics, University of Brasilia, Brazil, Department of Chemistry and Biochemistry, Kettering University, Center for Photovoltaics Innovation and Commercialization (PVIC), Department of Physics and Astronomy, University of Toledo, Univ of Toledo, Department of Physics, Sri Venkateswara University,Tirupati-517 502, Universidad de La Habana, Ohio State Univ - Columbus, Miami University, Physical Therapy, Eastern Michigan University, Physics, Cleveland State University, Youngstown State Univ, Department of Mechanical Engineering, Youngstown State University, Student