# Me 2173 Matlab Project 5 Numerical Methods Using Matlab

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ME 2173 MATLAB Project 5

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The properties of Superheated Steam at pressure 200 kPa are shown in the table below:
Table 1
Temp
°C p=200 kPa (120.2 C) volume

v(m^3/kg) energy

u(k)/kg) enthalpy

h(k)/kg) entropy

s(k)/kg.K)
150 0.960 2577.1 2706.2 7.127
200 1.081 2654.6 2769.1 7.281
250 1.199 2731.4 2870.7 7.508
300 1.316 2808.8 2971.2 7.710
350 1.433 2887.3 3072.1 7.894
400 1.549 2967.1 3173.9 8.064
450 1.666 3048.5 3277.0 8.224
500 1.781 3131.4 3381.6 8.373
600 2.013 3302.2 3487.7 8.515
700 2.244 3479.9 3704.8 8.779
800 2.476 3664.7 3928.8 9.022
900 2.707 3856.3 4159.8 9.248
1000 2.938 4054.8 4397.6 9.460

The Ideal-gas specific heat at constant pressure cp in kJ/kmol • K of water vapor as a function of temperature (in Kelvin, °K) is given by: cp(T) = a + bT + cT2 + dT3 where a = 32.24, b = 0.1923 x 10-2, c = 1.055 x 10-5, d = —3.595 x 10-9. cp = c,, + R, and the gas constant, R= 0.4615 kJ/kg • K. For the computations below, convert the temperature to Kelvin: K=273+°C
a. Use spline interpolation to increase the data points in table 1 for T, v, u, h, s, by creating a temperature vector in K Tnew = [150: 50:1000] + 273 and using it in the function 'interpl' to form the new vectors vnew, anew, hnew, Snew; e.g. vnew= interpl(T+273, v, Tnew,'spline').
b. Create a 1x2 subplot: subplot (1, 2, 1) has anew , hnew vs Tnew and the data plots of u, h vs Ton the same graph; subplot (1, 2, 2) has 'new , Snew VS Tnew and the data plots of v, s vs T on the same graph. Show the axes labels and the legends
c. Using Simpson's 1/3 rule, compute the change in internal energy of steam from 150°C to 1000°C at pressure p =200 kPa , Au= f 1273K cvdT . Use the new data set in 'a' above.
423K
a. Using the trapezoidal rule and the new data set...

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...ME 2173 MATLAB Project 1 Numerical Methods Using MATLAB Click Link Below To Buy: http://hwcampus.com/shop/2173-matlab-project-1/ MATLAB Project 1 1.) Save Table 1 below in an excel file called 'Superheat' and complete the instructions that follow: Table 1: Properties of Superheated Steam at three different Pressures (1MPa =10116 N/m^2) T em p °C p1=0.20 MPa (120.2 C) p2=0.30 MPa (133.5 C) p3=0.40 MPa (143.6 C) volume v1(m^3/kg) energy u1(k)/kg) enthalpy h1(k)/kg) volume v2(m^3/kg) energy u2(k)/kg) enthalpy h2(k)/kg) volume v3(m^3/kg) energy u3(k)/kg) enthalpy h3(k)/kg) 150 0.960 2577.1 0.634 2571.0 0.471 2564.4 2752.8 200 1.081 2654.6 0.716 2651.0 0.534 2647.2 2860.8 250 1.199 2731.4 0.796 2728.9 0.595 2726.4 2964.4 300 1.316 2808.8 0.875 2807.0 0.655 2805.1 3067.1 350 1.433 2887.3 0.954 2885.9 0.714 2884.4 3170 400 1.549 2967.1 1.032 2966.0 0.773 2964.9 3274.1 450 1.666 3048.5 1.109 3047.5 0.831 3046.6 3379 500 1.781 3131.4 1.187 3130.6 0.889 3129.8 3485.4 600 2.013 3302.2 1.341 3301.6 1.006 3301.0 3703.4 700 2.244 3479.9 1.496 3479.5 1.122 3479.0 3927.8 800 2.476 3664.7 1.650 3664.3 1.237 3663.9 4158.7 900 2.707 3856.3 1.804 3856.0 1.353 3855.7 4396.9 1000 2.938 4054.8 1.958 4054.5 1.469 4054.3 4641.9 a. Use a MATLAB command to import the data from an excel file, as a (13x10) matrix 'SteamProps' b. Given that h=u+pv, use the column vectors of the 'SteamProps' matrix with operations to......

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