The shear viscosity of nucleonic matter is reviewed, focusing on methods to calculate it, including mean free path, Green-Kubo, shear strain rate, Chapman-Enskog, and relaxation time approximation. These methods are used to analyze infinite and finite nucleonic matter, aiming to understand the universality of the ratio of shear viscosity to entropy density and transport characteristics like liquid-gas phase transitions. The study also briefly discusses shear viscosity in quantum chromodynamic matter from relativistic heavy-ion collisions. Key concepts include the KSS bound, which sets a lower limit for the ratio of shear viscosity to entropy density in quantum field theories. The analysis covers theoretical and experimental aspects, including transport coefficients in nuclear matter, the role of magnetic fields, and the behavior of shear viscosity in different phases of matter. The review highlights the importance of shear viscosity in understanding the dynamics of binary neutron star mergers and the properties of quark-gluon plasma. Various methods for calculating shear viscosity are discussed, along with their applications in nuclear physics and astrophysics. The study emphasizes the sensitivity of shear viscosity to factors such as temperature, density, and cross-sections, and the importance of accurate modeling in predicting transport properties in extreme environments.The shear viscosity of nucleonic matter is reviewed, focusing on methods to calculate it, including mean free path, Green-Kubo, shear strain rate, Chapman-Enskog, and relaxation time approximation. These methods are used to analyze infinite and finite nucleonic matter, aiming to understand the universality of the ratio of shear viscosity to entropy density and transport characteristics like liquid-gas phase transitions. The study also briefly discusses shear viscosity in quantum chromodynamic matter from relativistic heavy-ion collisions. Key concepts include the KSS bound, which sets a lower limit for the ratio of shear viscosity to entropy density in quantum field theories. The analysis covers theoretical and experimental aspects, including transport coefficients in nuclear matter, the role of magnetic fields, and the behavior of shear viscosity in different phases of matter. The review highlights the importance of shear viscosity in understanding the dynamics of binary neutron star mergers and the properties of quark-gluon plasma. Various methods for calculating shear viscosity are discussed, along with their applications in nuclear physics and astrophysics. The study emphasizes the sensitivity of shear viscosity to factors such as temperature, density, and cross-sections, and the importance of accurate modeling in predicting transport properties in extreme environments.