In [1]:
%matplotlib inline
# plots graphs within the notebook
%config InlineBackend.figure_format='svg' # not sure what this does, may be default images to svg format
from IPython.display import display,Image, Latex
from __future__ import division
from sympy.interactive import printing
printing.init_printing(use_latex='mathjax')
import time
from IPython.display import display,Image, Latex
from IPython.display import clear_output
#import SchemDraw as schem
#import SchemDraw.elements as e
import matplotlib.pyplot as plt
import numpy as np
import math
import scipy.constants as sc
import sympy as sym
from IPython.core.display import HTML
def header(text):
raw_html = '<h4>' + str(text) + '</h4>'
return raw_html
def box(text):
raw_html = '<div style="border:1px dotted black;padding:2em;">'+str(text)+'</div>'
return HTML(raw_html)
def nobox(text):
raw_html = '<p>'+str(text)+'</p>'
return HTML(raw_html)
def addContent(raw_html):
global htmlContent
htmlContent += raw_html
class PDF(object):
def __init__(self, pdf, size=(200,200)):
self.pdf = pdf
self.size = size
def _repr_html_(self):
return '<iframe src={0} width={1[0]} height={1[1]}></iframe>'.format(self.pdf, self.size)
def _repr_latex_(self):
return r'\includegraphics[width=1.0\textwidth]{{{0}}}'.format(self.pdf)
class ListTable(list):
""" Overridden list class which takes a 2-dimensional list of
the form [[1,2,3],[4,5,6]], and renders an HTML Table in
IPython Notebook. """
def _repr_html_(self):
html = ["<table>"]
for row in self:
html.append("<tr>")
for col in row:
html.append("<td>{0}</td>".format(col))
html.append("</tr>")
html.append("</table>")
return ''.join(html)
font = {'family' : 'serif',
#'color' : 'black',
'weight' : 'normal',
'size' : 12,
}
fontlabel = {'family' : 'serif',
#'color' : 'black',
'weight' : 'normal',
'size' : 16,
}
from matplotlib.ticker import FormatStrFormatter
plt.rc('font', **font)
In this first tutorial, you will simulate a laminar pipe flow using the cad file CAD>PipeD0.025L2.5VOF.iges which is the Volume of Fluid of the CAD below. The pipe inner diameter is 2.5cm and 250cm long.
Using https://www.simscale.com, Simulate a laminar flow. Verify and Validate (V & V) your simulation.
In [2]:
D = 2.5e-2 # m
nu = 15.e-6 #m^2/s
rho = 1.2 #kg/m^3
mu = nu/rho
R = D/2
Re = 500.
Ub = Re * nu / D
print("Bulk velocity= %2.2f m/s" %Ub)
flowrate = Ub * np.pi * R**2
print("Flow rate = %1.4e m^3/s" %flowrate)
Bulk velocity= 0.30 m/s
Flow rate = 1.4726e-04 m^3/s
In [6]:
import numpy as np
n = 30
r = np.linspace(0,R,n)
U = 2 * Ub * (1 - np.power(r,2)/R**2)
import matplotlib.pyplot as plt
plt.plot(r,U,linewidth = 2)
plt.xlabel(r"$r$ (m)", fontdict = fontlabel)
plt.ylabel(r"$U(r)$ (m/s)", fontdict = fontlabel)
plt.xlim(0,R)
plt.show()
The wall shear stress is defined: $$ \tau_w = \mu \frac{dU}{dr} $$
In [7]:
tauw = - mu * (U[n-1] - U[n-2])/(r[n-1] - r[n-2])
print("wall shear stress = %1.4f Pa" %tauw)
wall shear stress = 0.0012 Pa
In [5]:
mdpdx = 8 * mu *Ub / R**2
tauw_e = R * mdpdx / 2
print("Exact wall shear stress = %1.4f Pa" %tauw_e)
Exact wall shear stress = 0.0012 Pa
In [8]:
import csv, sys
filename = 'Data/LaminarPipe/Coarse/centerline.csv'
with open(filename, newline='') as f:
reader = csv.reader(f)
try:
for row in reader:
print(row)
except csv.Error as e:
sys.exit('file {}, line {}: {}'.format(filename, reader.line_num, e))
['p', 'U:0', 'U:1', 'U:2', 'vtkValidPointMask', 'arc_length', 'Points:0', 'Points:1', 'Points:2']
['0.63002', '0.30064', '9.6232e-08', '-2.0232e-08', '1', '0', '0', '0', '0']
['0.62945', '0.30417', '1.5774e-07', '-4.3457e-08', '1', '0.0025', '0.0025', '0', '0']
['0.62798', '0.31059', '2.024e-07', '-8.7805e-08', '1', '0.005', '0.005', '0', '0']
['0.62565', '0.3185', '1.8831e-07', '-1.3866e-07', '1', '0.0075', '0.0075', '0', '0']
['0.62313', '0.3263', '1.6058e-07', '-1.5571e-07', '1', '0.01', '0.01', '0', '0']
['0.62074', '0.33345', '1.634e-07', '-1.4531e-07', '1', '0.0125', '0.0125', '0', '0']
['0.6185', '0.34005', '1.5369e-07', '-1.3164e-07', '1', '0.015', '0.015', '0', '0']
['0.61637', '0.34619', '1.354e-07', '-1.2342e-07', '1', '0.0175', '0.0175', '0', '0']
['0.61435', '0.35192', '1.1626e-07', '-1.1015e-07', '1', '0.02', '0.02', '0', '0']
['0.61243', '0.35728', '1.001e-07', '-9.3377e-08', '1', '0.0225', '0.0225', '0', '0']
['0.61062', '0.36231', '8.7813e-08', '-7.4749e-08', '1', '0.025', '0.025', '0', '0']
['0.60888', '0.36705', '7.8993e-08', '-5.5572e-08', '1', '0.0275', '0.0275', '0', '0']
['0.60722', '0.37155', '7.2859e-08', '-3.6947e-08', '1', '0.03', '0.03', '0', '0']
['0.60562', '0.37583', '6.8699e-08', '-1.9606e-08', '1', '0.0325', '0.0325', '0', '0']
['0.60409', '0.37991', '6.586e-08', '-4.0417e-09', '1', '0.035', '0.035', '0', '0']
['0.60261', '0.38381', '6.3811e-08', '9.5476e-09', '1', '0.0375', '0.0375', '0', '0']
['0.60118', '0.38755', '6.2184e-08', '2.1133e-08', '1', '0.04', '0.04', '0', '0']
['0.59979', '0.39115', '6.0763e-08', '3.0796e-08', '1', '0.0425', '0.0425', '0', '0']
['0.59844', '0.39462', '5.9397e-08', '3.863e-08', '1', '0.045', '0.045', '0', '0']
['0.59713', '0.39796', '5.8129e-08', '4.4773e-08', '1', '0.0475', '0.0475', '0', '0']
['0.59586', '0.40119', '5.6978e-08', '4.944e-08', '1', '0.05', '0.05', '0', '0']
['0.59461', '0.40433', '5.6035e-08', '5.2822e-08', '1', '0.0525', '0.0525', '0', '0']
['0.5934', '0.40737', '5.5274e-08', '5.5173e-08', '1', '0.055', '0.055', '0', '0']
['0.59221', '0.41032', '5.4651e-08', '5.6674e-08', '1', '0.0575', '0.0575', '0', '0']
['0.59104', '0.4132', '5.4063e-08', '5.7501e-08', '1', '0.06', '0.06', '0', '0']
['0.5899', '0.416', '5.3447e-08', '5.7828e-08', '1', '0.0625', '0.0625', '0', '0']
['0.58877', '0.41873', '5.2725e-08', '5.7726e-08', '1', '0.065', '0.065', '0', '0']
['0.58767', '0.42139', '5.1886e-08', '5.7316e-08', '1', '0.0675', '0.0675', '0', '0']
['0.58659', '0.42399', '5.0959e-08', '5.6643e-08', '1', '0.07', '0.07', '0', '0']
['0.58552', '0.42654', '4.9956e-08', '5.5816e-08', '1', '0.0725', '0.0725', '0', '0']
['0.58447', '0.42903', '4.8928e-08', '5.48e-08', '1', '0.075', '0.075', '0', '0']
['0.58343', '0.43146', '4.7871e-08', '5.368e-08', '1', '0.0775', '0.0775', '0', '0']
['0.5824', '0.43385', '4.6827e-08', '5.2483e-08', '1', '0.08', '0.08', '0', '0']
['0.58139', '0.43619', '4.5804e-08', '5.1248e-08', '1', '0.0825', '0.0825', '0', '0']
['0.5804', '0.43848', '4.481e-08', '4.998e-08', '1', '0.085', '0.085', '0', '0']
['0.57941', '0.44073', '4.3868e-08', '4.8694e-08', '1', '0.0875', '0.0875', '0', '0']
['0.57844', '0.44294', '4.2952e-08', '4.7437e-08', '1', '0.09', '0.09', '0', '0']
['0.57747', '0.44511', '4.2049e-08', '4.6169e-08', '1', '0.0925', '0.0925', '0', '0']
['0.57652', '0.44723', '4.1174e-08', '4.4908e-08', '1', '0.095', '0.095', '0', '0']
['0.57558', '0.44932', '4.0349e-08', '4.3644e-08', '1', '0.0975', '0.0975', '0', '0']
['0.57464', '0.45138', '3.9532e-08', '4.2383e-08', '1', '0.1', '0.1', '0', '0']
['0.57372', '0.4534', '3.8737e-08', '4.1122e-08', '1', '0.1025', '0.1025', '0', '0']
['0.5728', '0.45538', '3.7972e-08', '3.99e-08', '1', '0.105', '0.105', '0', '0']
['0.57189', '0.45733', '3.724e-08', '3.8728e-08', '1', '0.1075', '0.1075', '0', '0']
['0.57099', '0.45925', '3.6559e-08', '3.7651e-08', '1', '0.11', '0.11', '0', '0']
['0.5701', '0.46114', '3.5938e-08', '3.6723e-08', '1', '0.1125', '0.1125', '0', '0']
['0.56921', '0.463', '3.5363e-08', '3.5944e-08', '1', '0.115', '0.115', '0', '0']
['0.56834', '0.46482', '3.4823e-08', '3.5272e-08', '1', '0.1175', '0.1175', '0', '0']
['0.56746', '0.46662', '3.432e-08', '3.4711e-08', '1', '0.12', '0.12', '0', '0']
['0.5666', '0.46839', '3.3822e-08', '3.4195e-08', '1', '0.1225', '0.1225', '0', '0']
['0.56574', '0.47014', '3.3322e-08', '3.3679e-08', '1', '0.125', '0.125', '0', '0']
['0.56489', '0.47185', '3.2805e-08', '3.3124e-08', '1', '0.1275', '0.1275', '0', '0']
['0.56404', '0.47354', '3.2262e-08', '3.2506e-08', '1', '0.13', '0.13', '0', '0']
['0.5632', '0.4752', '3.1723e-08', '3.1819e-08', '1', '0.1325', '0.1325', '0', '0']
['0.56236', '0.47684', '3.1179e-08', '3.1085e-08', '1', '0.135', '0.135', '0', '0']
['0.56153', '0.47845', '3.0643e-08', '3.0311e-08', '1', '0.1375', '0.1375', '0', '0']
['0.5607', '0.48004', '3.0121e-08', '2.9533e-08', '1', '0.14', '0.14', '0', '0']
['0.55988', '0.48161', '2.9615e-08', '2.8743e-08', '1', '0.1425', '0.1425', '0', '0']
['0.55906', '0.48315', '2.9127e-08', '2.7966e-08', '1', '0.145', '0.145', '0', '0']
['0.55825', '0.48467', '2.8652e-08', '2.7223e-08', '1', '0.1475', '0.1475', '0', '0']
['0.55745', '0.48617', '2.8196e-08', '2.6489e-08', '1', '0.15', '0.15', '0', '0']
['0.55664', '0.48764', '2.7756e-08', '2.579e-08', '1', '0.1525', '0.1525', '0', '0']
['0.55584', '0.48909', '2.7326e-08', '2.5109e-08', '1', '0.155', '0.155', '0', '0']
['0.55505', '0.49052', '2.6909e-08', '2.4474e-08', '1', '0.1575', '0.1575', '0', '0']
['0.55426', '0.49194', '2.6506e-08', '2.3876e-08', '1', '0.16', '0.16', '0', '0']
['0.55347', '0.49333', '2.6114e-08', '2.3289e-08', '1', '0.1625', '0.1625', '0', '0']
['0.55269', '0.4947', '2.5732e-08', '2.2725e-08', '1', '0.165', '0.165', '0', '0']
['0.55191', '0.49605', '2.5346e-08', '2.2186e-08', '1', '0.1675', '0.1675', '0', '0']
['0.55113', '0.49738', '2.4973e-08', '2.1664e-08', '1', '0.17', '0.17', '0', '0']
['0.55036', '0.49869', '2.4602e-08', '2.1157e-08', '1', '0.1725', '0.1725', '0', '0']
['0.54959', '0.49998', '2.4238e-08', '2.0657e-08', '1', '0.175', '0.175', '0', '0']
['0.54883', '0.50126', '2.3885e-08', '2.0158e-08', '1', '0.1775', '0.1775', '0', '0']
['0.54806', '0.50251', '2.3528e-08', '1.9662e-08', '1', '0.18', '0.18', '0', '0']
['0.54731', '0.50375', '2.3173e-08', '1.9144e-08', '1', '0.1825', '0.1825', '0', '0']
['0.54655', '0.50497', '2.2836e-08', '1.8615e-08', '1', '0.185', '0.185', '0', '0']
['0.5458', '0.50618', '2.2496e-08', '1.8086e-08', '1', '0.1875', '0.1875', '0', '0']
['0.54505', '0.50737', '2.2177e-08', '1.7573e-08', '1', '0.19', '0.19', '0', '0']
['0.5443', '0.50854', '2.1872e-08', '1.7124e-08', '1', '0.1925', '0.1925', '0', '0']
['0.54355', '0.50969', '2.159e-08', '1.6754e-08', '1', '0.195', '0.195', '0', '0']
['0.54281', '0.51083', '2.1339e-08', '1.6486e-08', '1', '0.1975', '0.1975', '0', '0']
['0.54207', '0.51195', '2.1103e-08', '1.6308e-08', '1', '0.2', '0.2', '0', '0']
['0.54134', '0.51305', '2.0879e-08', '1.6168e-08', '1', '0.2025', '0.2025', '0', '0']
['0.5406', '0.51414', '2.0632e-08', '1.6027e-08', '1', '0.205', '0.205', '0', '0']
['0.53987', '0.51522', '2.0377e-08', '1.5842e-08', '1', '0.2075', '0.2075', '0', '0']
['0.53914', '0.51628', '2.0108e-08', '1.5585e-08', '1', '0.21', '0.21', '0', '0']
['0.53842', '0.51732', '1.9833e-08', '1.5272e-08', '1', '0.2125', '0.2125', '0', '0']
['0.53769', '0.51836', '1.9552e-08', '1.4917e-08', '1', '0.215', '0.215', '0', '0']
['0.53697', '0.51937', '1.9272e-08', '1.4553e-08', '1', '0.2175', '0.2175', '0', '0']
['0.53625', '0.52038', '1.8976e-08', '1.4201e-08', '1', '0.22', '0.22', '0', '0']
['0.53553', '0.52136', '1.8688e-08', '1.3873e-08', '1', '0.2225', '0.2225', '0', '0']
['0.53482', '0.52234', '1.8397e-08', '1.3576e-08', '1', '0.225', '0.225', '0', '0']
['0.53411', '0.5233', '1.8103e-08', '1.3291e-08', '1', '0.2275', '0.2275', '0', '0']
['0.53339', '0.52425', '1.7807e-08', '1.3021e-08', '1', '0.23', '0.23', '0', '0']
['0.53269', '0.52518', '1.7508e-08', '1.2732e-08', '1', '0.2325', '0.2325', '0', '0']
['0.53198', '0.52611', '1.7205e-08', '1.2411e-08', '1', '0.235', '0.235', '0', '0']
['0.53127', '0.52702', '1.6891e-08', '1.2041e-08', '1', '0.2375', '0.2375', '0', '0']
['0.53057', '0.52791', '1.656e-08', '1.1591e-08', '1', '0.24', '0.24', '0', '0']
['0.52987', '0.5288', '1.6215e-08', '1.1058e-08', '1', '0.2425', '0.2425', '0', '0']
['0.52917', '0.52967', '1.5855e-08', '1.0464e-08', '1', '0.245', '0.245', '0', '0']
['0.52847', '0.53053', '1.5505e-08', '9.8238e-09', '1', '0.2475', '0.2475', '0', '0']
['0.52778', '0.53138', '1.5193e-08', '9.1903e-09', '1', '0.25', '0.25', '0', '0']
['0.52708', '0.53222', '1.4958e-08', '8.6217e-09', '1', '0.2525', '0.2525', '0', '0']
['0.52639', '0.53305', '1.4823e-08', '8.2043e-09', '1', '0.255', '0.255', '0', '0']
['0.5257', '0.53386', '1.477e-08', '7.9788e-09', '1', '0.2575', '0.2575', '0', '0']
['0.52501', '0.53466', '1.4782e-08', '7.9611e-09', '1', '0.26', '0.26', '0', '0']
['0.52432', '0.53546', '1.4807e-08', '8.097e-09', '1', '0.2625', '0.2625', '0', '0']
['0.52364', '0.53624', '1.4809e-08', '8.3061e-09', '1', '0.265', '0.265', '0', '0']
['0.52295', '0.53701', '1.4751e-08', '8.4796e-09', '1', '0.2675', '0.2675', '0', '0']
['0.52227', '0.53777', '1.4649e-08', '8.5407e-09', '1', '0.27', '0.27', '0', '0']
['0.52159', '0.53852', '1.4484e-08', '8.4277e-09', '1', '0.2725', '0.2725', '0', '0']
['0.52091', '0.53927', '1.4162e-08', '8.156e-09', '1', '0.275', '0.275', '0', '0']
['0.52023', '0.54', '1.3705e-08', '7.6824e-09', '1', '0.2775', '0.2775', '0', '0']
['0.51955', '0.54072', '1.3252e-08', '6.9941e-09', '1', '0.28', '0.28', '0', '0']
['0.51888', '0.54143', '1.2902e-08', '6.2203e-09', '1', '0.2825', '0.2825', '0', '0']
['0.5182', '0.54213', '1.2702e-08', '5.5278e-09', '1', '0.285', '0.285', '0', '0']
['0.51753', '0.54282', '1.2625e-08', '4.9674e-09', '1', '0.2875', '0.2875', '0', '0']
['0.51686', '0.54351', '1.2669e-08', '4.5189e-09', '1', '0.29', '0.29', '0', '0']
['0.51619', '0.54418', '1.277e-08', '4.1646e-09', '1', '0.2925', '0.2925', '0', '0']
['0.51552', '0.54485', '1.2846e-08', '3.8524e-09', '1', '0.295', '0.295', '0', '0']
['0.51485', '0.5455', '1.2841e-08', '3.497e-09', '1', '0.2975', '0.2975', '0', '0']
['0.51419', '0.54615', '1.2751e-08', '2.8311e-09', '1', '0.3', '0.3', '0', '0']
['0.51352', '0.54679', '1.2841e-08', '1.8491e-09', '1', '0.3025', '0.3025', '0', '0']
['0.51286', '0.54742', '1.3185e-08', '1.3456e-09', '1', '0.305', '0.305', '0', '0']
['0.51219', '0.54804', '1.3254e-08', '1.4147e-09', '1', '0.3075', '0.3075', '0', '0']
['0.51153', '0.54865', '1.2828e-08', '1.109e-09', '1', '0.31', '0.31', '0', '0']
['0.51087', '0.54926', '1.241e-08', '2.5738e-10', '1', '0.3125', '0.3125', '0', '0']
['0.51021', '0.54986', '1.2246e-08', '-1.1011e-09', '1', '0.315', '0.315', '0', '0']
['0.50956', '0.55045', '1.2569e-08', '-3.1467e-09', '1', '0.3175', '0.3175', '0', '0']
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['0.052922', '0.59599', '-4.3129e-08', '-2.0923e-07', '1', '2.2675', '2.2675', '0', '0']
['0.052344', '0.59599', '-2.8432e-08', '-2.2499e-07', '1', '2.27', '2.27', '0', '0']
['0.051767', '0.59599', '-1.2529e-08', '-2.381e-07', '1', '2.2725', '2.2725', '0', '0']
['0.051189', '0.59599', '3.98e-09', '-2.469e-07', '1', '2.275', '2.275', '0', '0']
['0.050611', '0.59599', '2.0454e-08', '-2.4982e-07', '1', '2.2775', '2.2775', '0', '0']
['0.050033', '0.59599', '3.6184e-08', '-2.456e-07', '1', '2.28', '2.28', '0', '0']
['0.049455', '0.59599', '5.0467e-08', '-2.334e-07', '1', '2.2825', '2.2825', '0', '0']
['0.048878', '0.59599', '6.2446e-08', '-2.1293e-07', '1', '2.285', '2.285', '0', '0']
['0.0483', '0.59599', '7.136e-08', '-1.8478e-07', '1', '2.2875', '2.2875', '0', '0']
['0.047722', '0.59599', '7.6516e-08', '-1.5011e-07', '1', '2.29', '2.29', '0', '0']
['0.047144', '0.59599', '7.7544e-08', '-1.1059e-07', '1', '2.2925', '2.2925', '0', '0']
['0.046567', '0.59599', '7.4442e-08', '-6.7885e-08', '1', '2.295', '2.295', '0', '0']
['0.045989', '0.59599', '6.7668e-08', '-2.3908e-08', '1', '2.2975', '2.2975', '0', '0']
['0.045411', '0.59599', '5.7905e-08', '1.912e-08', '1', '2.3', '2.3', '0', '0']
['0.044833', '0.59599', '4.5833e-08', '5.8895e-08', '1', '2.3025', '2.3025', '0', '0']
['0.044255', '0.59599', '3.2233e-08', '9.3426e-08', '1', '2.305', '2.305', '0', '0']
['0.043678', '0.59599', '1.7912e-08', '1.2134e-07', '1', '2.3075', '2.3075', '0', '0']
['0.0431', '0.59599', '3.5203e-09', '1.4136e-07', '1', '2.31', '2.31', '0', '0']
['0.042522', '0.59599', '-1.0465e-08', '1.5251e-07', '1', '2.3125', '2.3125', '0', '0']
['0.041944', '0.59599', '-2.3586e-08', '1.5446e-07', '1', '2.315', '2.315', '0', '0']
['0.041366', '0.59599', '-3.5409e-08', '1.479e-07', '1', '2.3175', '2.3175', '0', '0']
['0.040788', '0.59599', '-4.5521e-08', '1.3427e-07', '1', '2.32', '2.32', '0', '0']
['0.040211', '0.59599', '-5.3695e-08', '1.1544e-07', '1', '2.3225', '2.3225', '0', '0']
['0.039633', '0.59599', '-5.9891e-08', '9.3381e-08', '1', '2.325', '2.325', '0', '0']
['0.039055', '0.59599', '-6.4191e-08', '7.0214e-08', '1', '2.3275', '2.3275', '0', '0']
['0.038477', '0.59599', '-6.6658e-08', '4.8053e-08', '1', '2.33', '2.33', '0', '0']
['0.037899', '0.59599', '-6.7412e-08', '2.8606e-08', '1', '2.3325', '2.3325', '0', '0']
['0.037321', '0.59599', '-6.6573e-08', '1.3094e-08', '1', '2.335', '2.335', '0', '0']
['0.036744', '0.59599', '-6.4325e-08', '2.1576e-09', '1', '2.3375', '2.3375', '0', '0']
['0.036166', '0.596', '-6.0881e-08', '-4e-09', '1', '2.34', '2.34', '0', '0']
['0.035588', '0.596', '-5.6449e-08', '-5.6075e-09', '1', '2.3425', '2.3425', '0', '0']
['0.03501', '0.596', '-5.1313e-08', '-3.1095e-09', '1', '2.345', '2.345', '0', '0']
['0.034432', '0.596', '-4.5726e-08', '2.9482e-09', '1', '2.3475', '2.3475', '0', '0']
['0.033855', '0.596', '-3.9939e-08', '1.1619e-08', '1', '2.35', '2.35', '0', '0']
['0.033277', '0.596', '-3.4213e-08', '2.1721e-08', '1', '2.3525', '2.3525', '0', '0']
['0.032699', '0.596', '-2.8793e-08', '3.2088e-08', '1', '2.355', '2.355', '0', '0']
['0.032121', '0.596', '-2.399e-08', '4.1928e-08', '1', '2.3575', '2.3575', '0', '0']
['0.031543', '0.596', '-2.0069e-08', '5.0723e-08', '1', '2.36', '2.36', '0', '0']
['0.030965', '0.596', '-1.7107e-08', '5.8021e-08', '1', '2.3625', '2.3625', '0', '0']
['0.030388', '0.596', '-1.5e-08', '6.3523e-08', '1', '2.365', '2.365', '0', '0']
['0.02981', '0.596', '-1.3626e-08', '6.7095e-08', '1', '2.3675', '2.3675', '0', '0']
['0.029232', '0.596', '-1.2911e-08', '6.8836e-08', '1', '2.37', '2.37', '0', '0']
['0.028654', '0.596', '-1.2807e-08', '6.8885e-08', '1', '2.3725', '2.3725', '0', '0']
['0.028076', '0.596', '-1.3225e-08', '6.7455e-08', '1', '2.375', '2.375', '0', '0']
['0.027498', '0.596', '-1.4032e-08', '6.4962e-08', '1', '2.3775', '2.3775', '0', '0']
['0.026921', '0.596', '-1.5092e-08', '6.1935e-08', '1', '2.38', '2.38', '0', '0']
['0.026343', '0.596', '-1.6181e-08', '5.8806e-08', '1', '2.3825', '2.3825', '0', '0']
['0.025765', '0.596', '-1.7008e-08', '5.5893e-08', '1', '2.385', '2.385', '0', '0']
['0.025187', '0.596', '-1.7361e-08', '5.346e-08', '1', '2.3875', '2.3875', '0', '0']
['0.024609', '0.596', '-1.7155e-08', '5.1652e-08', '1', '2.39', '2.39', '0', '0']
['0.024031', '0.596', '-1.6381e-08', '5.0433e-08', '1', '2.3925', '2.3925', '0', '0']
['0.023454', '0.596', '-1.508e-08', '4.9659e-08', '1', '2.395', '2.395', '0', '0']
['0.022876', '0.596', '-1.3436e-08', '4.9175e-08', '1', '2.3975', '2.3975', '0', '0']
['0.022298', '0.596', '-1.1801e-08', '4.879e-08', '1', '2.4', '2.4', '0', '0']
['0.02172', '0.596', '-1.0552e-08', '4.8253e-08', '1', '2.4025', '2.4025', '0', '0']
['0.021142', '0.596', '-9.9785e-09', '4.7458e-08', '1', '2.405', '2.405', '0', '0']
['0.020564', '0.59601', '-1.0276e-08', '4.6557e-08', '1', '2.4075', '2.4075', '0', '0']
['0.019987', '0.59601', '-1.1533e-08', '4.5839e-08', '1', '2.41', '2.41', '0', '0']
['0.019409', '0.59601', '-1.3644e-08', '4.5501e-08', '1', '2.4125', '2.4125', '0', '0']
['0.018831', '0.59601', '-1.6344e-08', '4.5631e-08', '1', '2.415', '2.415', '0', '0']
['0.018253', '0.59601', '-1.9329e-08', '4.6256e-08', '1', '2.4175', '2.4175', '0', '0']
['0.017675', '0.59601', '-2.2387e-08', '4.7236e-08', '1', '2.42', '2.42', '0', '0']
['0.017097', '0.59601', '-2.536e-08', '4.826e-08', '1', '2.4225', '2.4225', '0', '0']
['0.016519', '0.59601', '-2.8231e-08', '4.9024e-08', '1', '2.425', '2.425', '0', '0']
['0.015942', '0.59601', '-3.1071e-08', '4.9609e-08', '1', '2.4275', '2.4275', '0', '0']
['0.015364', '0.59601', '-3.3884e-08', '5.0159e-08', '1', '2.43', '2.43', '0', '0']
['0.014786', '0.59601', '-3.6578e-08', '5.071e-08', '1', '2.4325', '2.4325', '0', '0']
['0.014208', '0.59601', '-3.9032e-08', '5.1387e-08', '1', '2.435', '2.435', '0', '0']
['0.01363', '0.59601', '-4.1207e-08', '5.2316e-08', '1', '2.4375', '2.4375', '0', '0']
['0.013052', '0.59601', '-4.3256e-08', '5.3626e-08', '1', '2.44', '2.44', '0', '0']
['0.012474', '0.59601', '-4.5326e-08', '5.5448e-08', '1', '2.4425', '2.4425', '0', '0']
['0.011897', '0.59601', '-4.7842e-08', '5.7819e-08', '1', '2.445', '2.445', '0', '0']
['0.011319', '0.59601', '-5.1049e-08', '6.1301e-08', '1', '2.4475', '2.4475', '0', '0']
['0.010741', '0.59601', '-5.5197e-08', '6.6526e-08', '1', '2.45', '2.45', '0', '0']
['0.010163', '0.59601', '-6.0711e-08', '7.367e-08', '1', '2.4525', '2.4525', '0', '0']
['0.0095851', '0.59601', '-6.8426e-08', '8.302e-08', '1', '2.455', '2.455', '0', '0']
['0.0090073', '0.59601', '-7.9393e-08', '9.5622e-08', '1', '2.4575', '2.4575', '0', '0']
['0.0084294', '0.59601', '-9.4357e-08', '1.13e-07', '1', '2.46', '2.46', '0', '0']
['0.0078515', '0.59601', '-1.1412e-07', '1.3708e-07', '1', '2.4625', '2.4625', '0', '0']
['0.0072737', '0.59601', '-1.3946e-07', '1.7094e-07', '1', '2.465', '2.465', '0', '0']
['0.0066958', '0.59601', '-1.7132e-07', '2.174e-07', '1', '2.4675', '2.4675', '0', '0']
['0.0061179', '0.59602', '-2.1103e-07', '2.7949e-07', '1', '2.47', '2.47', '0', '0']
['0.0055399', '0.59602', '-2.5903e-07', '3.6247e-07', '1', '2.4725', '2.4725', '0', '0']
['0.004962', '0.59602', '-3.1804e-07', '4.7165e-07', '1', '2.475', '2.475', '0', '0']
['0.004384', '0.59602', '-3.9481e-07', '6.1408e-07', '1', '2.4775', '2.4775', '0', '0']
['0.0038064', '0.59601', '-4.9671e-07', '7.9978e-07', '1', '2.48', '2.48', '0', '0']
['0.0032306', '0.59601', '-6.3101e-07', '1.038e-06', '1', '2.4825', '2.4825', '0', '0']
['0.0026598', '0.59598', '-8.0334e-07', '1.3337e-06', '1', '2.485', '2.485', '0', '0']
['0.0021022', '0.59593', '-1.0074e-06', '1.6915e-06', '1', '2.4875', '2.4875', '0', '0']
['0.0015661', '0.59583', '-1.2333e-06', '2.1188e-06', '1', '2.49', '2.49', '0', '0']
['0.0010587', '0.59567', '-1.4686e-06', '2.5413e-06', '1', '2.4925', '2.4925', '0', '0']
['0.00059901', '0.59539', '-1.6743e-06', '2.8759e-06', '1', '2.495', '2.495', '0', '0']
['0.00023042', '0.59496', '-1.7989e-06', '3.072e-06', '1', '2.4975', '2.4975', '0', '0']
['1.8029e-05', '0.5946', '-1.8449e-06', '3.1393e-06', '1', '2.5', '2.5', '0', '0']
In [9]:
data = np.genfromtxt(filename,delimiter=',',skip_header=1)
P = data[:,0]
U = data[:,1]
x = data[:,5]
plt.plot(x,P,linewidth = 2)
plt.xlabel(r"$x$ (m)", fontdict = fontlabel)
plt.ylabel(r"$P$ (Pa)", fontdict = fontlabel)
plt.show()
plt.plot(x,U,linewidth = 2)
plt.xlabel(r"$x$ (m)", fontdict = fontlabel)
plt.ylabel(r"$U_c$ (m/s)", fontdict = fontlabel)
plt.show()
In [15]:
filename = 'Data/LaminarPipe/Coarse/cross-section-x=0.025.csv'
data = np.genfromtxt(filename,delimiter=',',skip_header=1)
U_0_025 = data[:,1]
x_0_025 = data[:,5]
filename = 'Data/LaminarPipe/Coarse/cross-section-x=0.25.csv'
data = np.genfromtxt(filename,delimiter=',',skip_header=1)
U_0_25 = data[:,1]
x_0_25 = data[:,5]
filename = 'Data/LaminarPipe/Coarse/cross-section-x=1.25.csv'
data = np.genfromtxt(filename,delimiter=',',skip_header=1)
U_1_25 = data[:,1]
x_1_25 = data[:,5]
filename = 'Data/LaminarPipe/Coarse/cross-section-x=2.25.csv'
data = np.genfromtxt(filename,delimiter=',',skip_header=1)
U_2_25 = data[:,1]
x_2_25 = data[:,5]
plt.plot(x_0_025,U_0_025,linewidth = 2,label = r"$x=D$")
plt.plot(x_0_25,U_0_25,linewidth = 2,label = r"$x=10D$")
plt.plot(x_1_25,U_1_25,linewidth = 2,label = r"$x=50D$")
plt.plot(x_2_25,U_2_25,linestyle = 'dashed' ,linewidth = 2,label = r"$x=100D$")
plt.xlabel(r"$x$ (m)", fontdict = fontlabel)
plt.ylabel(r"$U$ (m/s)", fontdict = fontlabel)
plt.legend(loc=3, bbox_to_anchor=[0, 1],
ncol=2, shadow=True, fancybox=True)
plt.show()
In [ ]:
Content source: yvesdubief/UVM-ME249-CFD
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