import numpy as np import matplotlib.pyplot as plt tau = np.array([0,2.11,7.82,18.5,31.7]) #shear stress in lbs/ft^2 gamma_dot = np.array([0,50,100,150,200]) #shear strain in rad/sec coeffs = np.polyfit(gamma_dot, tau, 2) print(coeffs) deriv_coeffs = [coeffs[1],coeffs[2]*2] g_dot_sample = np.linspace(0,200,50) tau_fit = np.polyval(coeffs,g_dot_sample) plt.plot(gamma_dot,tau,'ko') plt.plot(g_dot_sample,tau_fit,'k:') print(np.polyval(deriv_coeffs,70)) #apparent viscosity at g_dot = 70 s^-1
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