How does nuclear engineering use physics and mathematics to analyze nuclear processes?

Nuclear engineering is a multifaceted discipline that relies on fundamental principles of physics and mathematics to describe nuclear interactions, such as the transport of neutrons and gamma rays. Because many nuclear systems are too large or expensive to test physically, engineers rely heavily on mathematical modeling and computer simulation to analyze complex phenomena.12

These analyses integrate several key areas:

• Reactor Physics and Transport: Engineers model the behavior of radiation within and external to a nuclear reactor, calculating factors like neutron reproduction and absorption to ensure a controlled chain reaction.32
• Thermal Hydraulics: By applying laws of physics to heat transfer and fluid flow, engineers determine how energy released by fission is effectively removed from the core to generate electricity.42
• Nuclear Modeling: Since exact calculations of nuclear forces are often not possible, engineers use simplified theoretical models—such as the liquid-drop model or shell nuclear model—to simulate nuclear structure and reactions.567

By combining these mathematical frameworks, engineers can predict system behavior, optimize reactor design, and ensure the safe utilization of nuclear energy.14