solving an equation for a variable that has changing varibles in it

Question

0 votes

im trying to solve for M1 based off a changing Pr

index1=1:304;
index2=697:1000;
index3=305:696;
figure
plot(t(index1),M(index1), 'b')
hold on
plot(t(index2),M(index2), 'b')
%plot(t(index3),M(index3), 'r')
M2=(((M1).^(2))+(2/(gamma-1)))./((((2*gamma)/(gamma-1)).*(M1).^2)-1)
pr=Po(index3)./P(index3)
eqn=((1+((gamma-1)/2).*(M2).^2)).^(gamma/(gamma-1)).*(((gamma+1).*(M1).^2)./(2+(gamma-1).*(M1).^2))==pr
superM=vpasolve(eqn,M, 'real')
plot(t(index3),superM, 'r')

im trying to get only real vaules for M1

8 Comments
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joshua payne on 9 Oct 2022

Open in MATLAB Online

clc
clear all
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100643.29
100464.93
100286.57
100108.22
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105082.25
104450.96
103808.45
103154.82
102490.15
101814.57
101128.17
100431.05
33
13
56
73
79
84
03
47
32
70
76
64
48
45
68
33
56
52
39
31
47
02
14
99
76
62
74
31
51
52
53
72
29
41
29
11
07
36
36
07
11
29
41
29
72
53
52
51
31
74
62
76
99
14
02
47
31
39
52
56
33
68
45
48
64
76
70
32
47
03
84
79
73
56
13
33
100431.05
101128.17
101814.57
102490.15
103154.82
103808.45
104450.96
105082.25
105702.24
106310.82
106907.93
107493.47
108067.37
108629.55
109179.95
109718.49
110245.12
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111262.39
111752.92
112231.32
112697.53
113151.52
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114022.67
114439.77
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115236.87
115616.83
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116339.48
116682.14
117012.36
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118208.74
118476.75
118732.34
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119206.37
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120006.55
120175.98
120333.24
120478.39
120611.46
120732.51
120841.60
120938.78
121024.12
121097.68
121159.53
121209.75
121248.40
121275.56
121291.32
121295.75
121288.95
121271.00
121241.99
121202.02
121151.19
121089.59
121017.33
120934.51
120841.24
120737.63
120623.80
120499.85
120365.91
120222.10
120068.53
119905.33
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118949.44
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118024.86
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117244.07
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109639.20
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108403.32
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102725.13
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101821.32
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100458.80
100003.56
10
62
30
34
93
26
53
95
69
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99
95
05
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96
32
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45
100149.39
100326.37
100503.40
100680.46
100857.57
101034.72];
gamma=1.4;
M=((((Po./P).^((gamma-1)./gamma)-1)*2)/(gamma-1)).^(1/2);
Msonic=find(abs(M-1)<.005)
values=M(305)
values=M(696)
   
Po1=P.*(1+((gamma-1)/2).*M.^2);
M2=(((M.^2)+(2/(gamma-1)))/(((2*gamma)/(gamma-1))-1));
%Po2=
index1=1:304;
index2=697:1000;
index3=305:696;
figure
plot(t(index1),M(index1), 'b')
hold on
plot(t(index2),M(index2), 'b')
%plot(t(index3),M(index3), 'r')
%M2=((((M1).^(2))+(2/(gamma-1)))./((((2*gamma)/(gamma-1)).*(M1).^2)-1))
pr=Po(index3)./P(index3)
syms M1
eqn=((1+((gamma-1)/2).*(((((M1).^(2))+(2/(gamma-1)))./((((2*gamma)/(gamma-1)).*(M1).^2)-1))).^2)).^(gamma/(gamma-1)).*(((gamma+1).*(M1).^2)./(2+(gamma-1).*(M1).^2))==pr
superM=vpasolve(eqn,M1, 'real')
plot(t(index3),superM, 'r')
hold off

Ghazwan on 9 Oct 2022

Please, re-post your quesiton after you put the data in an excel spreadsheet as it is diffcult to read it. Thanks!

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