Dissertation (MSc. Mathematics)The main objective of this study is on a global solution of the Navier-Stokes equations with internal body forces. The internal body forces play very important in both theory and application with Navier-Stokes equations. We discussed about the general solution for ordinary differential equations (ODES) and partial differential equations (PDES). Also they used the MAC model for incompressible flow. The study has been conducted in order to provide abroad understanding the existence of internal body forces with Navier-Stokes equations. The consideration of simple global solution the Navier-Stokes, equations with internal body forces is often possible.