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I am trying to use frequency-wavenumber analysis to estimate sound wave propagation in a moving medium (fluid). I need to test the technique on analytical data. I wonder if there is an analytical solution that describes pressure field during sound wave propagation from a point source in a flowing fluid. I expect the pressure field to be a functin of space and time and it should showsshow Doppler shift effect. I am assuming a simple problem with the following assumptions:

  • Fluid flow is one-dimensional.
  • Fluid motion is uniform.
  • Fluid is extending to infinity in both sides (i.e., boundary effects are negligible).
  • Sound source is a point-source (i.e., sound source does not affect fluid flow).

I am looking for 1D solution that can estimate acousic wave amplitude as function of space ($x$) and time ($t$). I think the solution should be identical to point source which is moving in a static fluid.

I am trying to use frequency-wavenumber analysis to estimate sound wave propagation in a moving medium (fluid). I need to test the technique on analytical data. I wonder if there is an analytical solution that describes pressure field during sound wave propagation from a point source in a flowing fluid. I expect the pressure field to be a functin of space and time and it should shows Doppler shift effect. I am assuming a simple problem with the following assumptions:

  • Fluid flow is one-dimensional.
  • Fluid motion is uniform.
  • Fluid is extending to infinity in both sides (i.e., boundary effects are negligible).
  • Sound source is a point-source (i.e., sound source does not affect fluid flow).

I am looking for 1D solution that can estimate acousic wave amplitude as function of space ($x$) and time ($t$). I think the solution should be identical to point source which is moving in a static fluid.

I am trying to use frequency-wavenumber analysis to estimate sound wave propagation in a moving medium (fluid). I need to test the technique on analytical data. I wonder if there is an analytical solution that describes pressure field during sound wave propagation from a point source in a flowing fluid. I expect the pressure field to be a functin of space and time and it should show Doppler shift effect. I am assuming a simple problem with the following assumptions:

  • Fluid flow is one-dimensional.
  • Fluid motion is uniform.
  • Fluid is extending to infinity in both sides (i.e., boundary effects are negligible).
  • Sound source is a point-source (i.e., sound source does not affect fluid flow).

I am looking for 1D solution that can estimate acousic wave amplitude as function of space ($x$) and time ($t$). I think the solution should be identical to point source which is moving in a static fluid.

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I am trying to use frequency-wavenumber analysis to estimate sound wave propagation in a moving medium (fluid). I need to test the technique on analytical data. I wonder if there is an analytical solution that estimatesdescribes pressure field during sound wave propagation from a point source in a flowing fluid. I expect the pressure field to be a functin of space and time and it should shows Doppler shift effect. I am assuming a simple problem with the following assumptions:

  • Fluid flow is one-dimensional.
  • Fluid motion is uniform.
  • Fluid is extending to infinity in both sides (i.e., boundary effects are negligible).
  • Sound source is a point-source (i.e., sound source does not affect fluid flow).

I am looking for 1D solution that can estimate acousic wave amplitude as function of space ($x$) and time ($t$). I think the solution should be identical to point source which is moving in a static fluid.

I am trying to use frequency-wavenumber analysis to estimate sound wave propagation in a moving medium (fluid). I need to test the technique on analytical data. I wonder if there is an analytical solution that estimates sound wave propagation from a point source in a flowing fluid. I am assuming a simple problem with the following assumptions:

  • Fluid flow is one-dimensional.
  • Fluid motion is uniform.
  • Fluid is extending to infinity in both sides (i.e., boundary effects are negligible).
  • Sound source is a point-source (i.e., sound source does not affect fluid flow).

I am looking for 1D solution that can estimate acousic wave amplitude as function of space ($x$) and time ($t$). I think the solution should be identical to point source which is moving in a static fluid.

I am trying to use frequency-wavenumber analysis to estimate sound wave propagation in a moving medium (fluid). I need to test the technique on analytical data. I wonder if there is an analytical solution that describes pressure field during sound wave propagation from a point source in a flowing fluid. I expect the pressure field to be a functin of space and time and it should shows Doppler shift effect. I am assuming a simple problem with the following assumptions:

  • Fluid flow is one-dimensional.
  • Fluid motion is uniform.
  • Fluid is extending to infinity in both sides (i.e., boundary effects are negligible).
  • Sound source is a point-source (i.e., sound source does not affect fluid flow).

I am looking for 1D solution that can estimate acousic wave amplitude as function of space ($x$) and time ($t$). I think the solution should be identical to point source which is moving in a static fluid.

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Analytical Solution of Sound Wave Propagation in Moving Medium (1-D1D Problem)

I am trying to use frequency-wavenumber analysis to estimate sound wave propagation in a moving medium (fluid). I need to test the technique on analytical data. I wonder if there is an analytical solution that estimates sound wave propagation from a point source in a flowing fluid. I am assuming a simple problem with the following assumptions:

  • Fluid flow is one-dimensional.
  • Fluid motion is uniform.
  • Fluid is extending to infinity in both sides (i.e., boundary effects are negligible).
  • Sound source is a point-source (i.e., sound source does not affect fluid flow).

I am looking for 1D solution that can estimate acousic wave amplitude as function of space (x$x$) and time (t$t$). I think the solution should be identical to point source which is moving in a static fluid.

Analytical Solution of Sound Wave Propagation in Moving Medium (1-D Problem)

I am trying to use frequency-wavenumber analysis to estimate sound wave propagation in a moving medium (fluid). I need to test the technique on analytical data. I wonder if there is an analytical solution that estimates sound wave propagation from a point source in a flowing fluid. I am assuming a simple problem with the following assumptions:

  • Fluid flow is one-dimensional.
  • Fluid motion is uniform.
  • Fluid is extending to infinity in both sides (i.e., boundary effects are negligible).
  • Sound source is a point-source (i.e., sound source does not affect fluid flow).

I am looking for 1D solution that can estimate acousic wave amplitude as function of space (x) and time (t). I think the solution should be identical to point source which is moving in a static fluid.

Analytical Solution of Sound Wave Propagation in Moving Medium (1D Problem)

I am trying to use frequency-wavenumber analysis to estimate sound wave propagation in a moving medium (fluid). I need to test the technique on analytical data. I wonder if there is an analytical solution that estimates sound wave propagation from a point source in a flowing fluid. I am assuming a simple problem with the following assumptions:

  • Fluid flow is one-dimensional.
  • Fluid motion is uniform.
  • Fluid is extending to infinity in both sides (i.e., boundary effects are negligible).
  • Sound source is a point-source (i.e., sound source does not affect fluid flow).

I am looking for 1D solution that can estimate acousic wave amplitude as function of space ($x$) and time ($t$). I think the solution should be identical to point source which is moving in a static fluid.

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