Hi, can anyone help me to program a code for the equation with initial and boundary conditions using finite difference method

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Nur Nadhirah Syed Malik 2021-12-31

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编辑： William Rose 2022-1-1

Hi, I really need help from anyone help me with how to do a program code for governing equation with initial and boundary condition. Also, I want to plot graph velocity(u) against radius (r). The radius will be the x-axis and the range should be from 0 to 1 only. I will be really appreciated if anyone can help me. Thank you so much. Inside the coding there must be include discrerization of the governing equation. If u need , I wiil send it here right away.

The governing equation is:

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William Rose 2021-12-31

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oneDimensionalPDEblur.pdf

@Nur Nadhirah Syed Malik, See attached.

I have left out some parts, because this sounds like a homework assignment, and you will learn by filling in the unknown parts.

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William Rose 2021-12-31

onedimPDE.m

@Nur Nadhirah Syed Malik,

A script is attached that implements the equaitons in the document I posted earlier.

The script generates two figures, shown below:

William Rose 2021-12-31

@Nur Nadhirah Syed Malik,

I believe that the constant

in your equation corresponds to kinematic viscosity:

=viscosity/density. I also believe that the units for A0 and A1 are pressure/length, and that the terms A0+A1*cos wt correspond to the pressure difference divided by the length of the tube. Are those beliefs correct? The Womersley number for pulsatile flow is