spiceSharpFluidFLowSolver 12 - fluidPipeTheory documentation (equation derivations)

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I've decided to just use the current flow and fluid flow analogy and create a pipe. Using the nonlinear resistor as a template file.

This video explores some of the thought process used to derive the appropraite equation

------------------ Useful Links ------------------------------------
How to go to source for LaTex on vscode (ctrl-alt-J on latex workshop)
https://tex.stackexchange.com/questions/538797/go-to-source-for-latex-on-vs-code-does-not-seem-to-work

Darcy Friction Factor
https://neutrium.net/fluid-flow/pressure-loss-in-pipe/
------------------ Video Sections --------------------------------
Chapters:
0:00 Intro and how to go to the pdf document at the line you are at for LaTeX
2:15 Correcting the Churchill Equation
4:20 fluidPipeTheory - how to convert a nonlinear resistor code into a pipe
5:16 Why I prefer to correlate current to mass flowrate and voltage to kinematic pressure
6:46 back to correcting more of the Churchill equation
7:50 including citation for Darcy friction factor, and updating the notations in the documentation
15:36 Why i'd rather use Reynold's number in terms of mass flowrate
16:30 How to change a current balance in circuit to mass balance
18:08 Ohm's law is obeyed for pipes in laminar flow regime
21:50 For Fully Turbulent Regimes Ohm's law is not obeyed, but it's easier to get the jacobian as the relation is explicit
26:30 How the nonlinear resistor calculates jacobian in the code
30:37 what is this function f that we're differentiating? It's the current balance
31:58 in coming videos...

---------------------[Playlists and Relevant Github Repositories]----------------------------------------------

Fluid Mechanics and Git Repos:
https://www.youtube.com/playlist?list=PLhPfNw4V4_YSmdAXc6J0XOSQ1b27qsMGt
https://github.com/theodoreOnzGit/OpenFoam_heatTrf_YouTube

Petroleum Downstream Crash Course Playlist:
https://www.youtube.com/playlist?list=PLhPfNw4V4_YQ13CnhacUqEVk-tZlU4ISE

OpenFOAM for Windows 10 Beginner Playlist and some Git Repos
https://www.youtube.com/playlist?list=PLhPfNw4V4_YRhBU4IqSaToQ8_X543YQsZ
https://github.com/theodoreOnzGit/laminar_BL_OpenFOAM

OpenFOAM Intermediate Playlist and some Git Repos
https://www.youtube.com/playlist?list=PLhPfNw4V4_YSpWX6mSOlwWEOKVa6i_iuE
https://github.com/theodoreOnzGit/thin_pipeflow_snappyHexMesh

OpenFOAM Heat Transfer Playlist and GitHub Repo
https://www.youtube.com/playlist?list=PLhPfNw4V4_YR2Qa3Q9-AzNSF2J9Dc4_qT
https://github.com/theodoreOnzGit/OpenFoam_heatTrf_YouTube

Convection Boundary Layer and git Repos:
https://www.youtube.com/playlist?list=PLhPfNw4V4_YR9pRBpp101Mkuds49vjQ63
https://github.com/theodoreOnzGit/heatTransferTheory_YouTube

Turbulence Modelling Playlist
https://www.youtube.com/watch?v=F_Rxv9uMM3g&list=PLhPfNw4V4_YSnbYkJIBQ1kRN06Mmxe2Be
https://github.com/theodoreOnzGit/turbulenceModelling


OpenFOAM C++
https://github.com/theodoreOnzGit/C-_YouTube_OpenFoam
https://www.youtube.com/playlist?list=PLhPfNw4V4_YT9OgqS7ZPlot_Ucxzc6pQJ

OpenFOAM Bash
https://github.com/theodoreOnzGit/Bash_OpenFOAM_YouTube
https://www.youtube.com/playlist?list=PLhPfNw4V4_YT5zjBhfj5Hj4r4D5eXilcU

Basic Samba
https://www.youtube.com/playlist?list=PLhPfNw4V4_YQuWJLufBUpNplitReZX0fB
https://github.com/theodoreOnzGit/sambaVideos

Manjaro Tips and Tricks
https://www.youtube.com/playlist?list=PLhPfNw4V4_YQuyXBfJxAvzHJTl0UiWx3h

lammps and Discrete Element Modelling (DEM)
https://www.youtube.com/playlist?list=PLhPfNw4V4_YTdRlnLiu2OUXeTf5ZNVQ9E

playing with dotnet core
https://www.youtube.com/playlist?list=PLhPfNw4V4_YQSTR8sqz0aRVzWlQBq3QUw
dotnet core github repo
https://github.com/theodoreOnzGit/dotnetCoreYoutube




Other Videos By Theo Ong Science and Engineering


2022-07-08spiceSharpFluidFLowSolver 22 - BasePipe Class inner workings and test
2022-07-08spiceSharpFluidFLowSolver 21 - BasePipe Class Intro
2022-06-16spiceSharpFluidFLowSolver 20 - FrictionFactor classes and Derivative Classes
2022-06-16spiceSharpFluidFLowSolver 19 - source code for pipeFactory Classes
2022-06-16spiceSharpFluidFLowSolver 18 - test methodology for pipe Factory and churchill correlation
2022-06-15spiceSharpFluidFLowSolver 17 - MockPipe Class, changing base parameters
2022-06-15spiceSharpFluidFLowSolver 16 - pipe class documentation, my coding philosphy
2022-06-14spiceSharpFluidFLowSolver 15 - fluidPipeTheory Correction to last vid, tests, tidying documentation
2022-06-14spiceSharpFluidFLowSolver 14 - fluidPipeTheory documentation Bejan number, calc Jacobian
2022-06-14spiceSharpFluidFLowSolver 13 - fluidPipeTheory Getting Jacobians by manipulating variables
2022-06-13spiceSharpFluidFLowSolver 12 - fluidPipeTheory documentation (equation derivations)
2022-06-07vimium 2 - page up and down (u,d) tabs (t, x, X, gt, gT, J, K)
2022-06-07vimium 1 - installation and basic navigation (hjkl, HL, f, esc key)
2022-06-02spiceSharpFluidFlowSolver 11 - Code Exploration Simulation.cs too complex, use custom components
2022-06-01spiceSharpFluidFlowSolver 10 - Code Exploration CreateBehaviors creates Matrices frm Circuit Objects
2022-05-27spiceSharpFluidFlowSolver 9 - Code Exploration VariableMaps are Modified using SimulationState Class
2022-05-27spiceSharpFluidFlowSolver 8 - Code Exploration Positive Negative Conventions and Indexing Variables
2022-05-26spiceSharpFluidFlowSolver 7 - Code Exploration OnePort Class and Nodal Analysis Eg with Resistor
2022-05-25spiceSharpFluidFlowSolver 6 - code exploration: Biasing Class in current SRC for IBiasingBehaviour
2022-05-25spiceSharpFluidFlowSolver 5 - setting up a sandbox in Xunit for matrix tests
2022-05-25spiceSharpFluidFlowSolver 4 - Code Exploration: how spicesharp code that solves matrices works



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