This analytical solution can then be used together with the Percus–Yevick approximation in the Ornstein-Zernike equation. Approximate solutions for the pair distribution function in the extensional and compressional sectors of shear flow and hence the angular-averaged radial distribution function can be obtained, as shown in Ref., which are in good parameter-free agreement with numerical data up to packing fractions η η ≈ ≈ 0.5 .