This article first reviews the metallurgical process of continuous casting of steel slabs in terms of fluid flow, heat and mass transfer in manufacturing production. Finally, this article reviews the physical and mathematical modeling in physical experiment and mathematical models, which have been used to study the process. Keywords: continuous casting, steel, slab, physical modeling, distributor, mathematical modeling, fluid flow, heat transfer, Mass transfer, instruction, report1. IntroductionContinuous casting is a casting process used in the manufacturing industry to produce molten steel at a temperature of 1600°C and converted into slabs of particular size. This modern casting process is used in many steel fabrications as it offers superior casting quality, less material loss, cost reduction and high productivity rate compared to cast ingot production [1 ]. The continuous casting of slabs is started by adding and mixing the basic raw materials such as steels, silicon, magnesium and other basic steelmaking materials in the furnace. Steel contains little carbon, less than 2% carbon in steel. The continuous slab casting process begins with melting and mixing raw materials in the furnace. The molten steel in the ladle is drawn from the bottom of the ladle into the intermediate container called a tundish by gravitational force, which facilitates the filling of the mold along the continuous casting of steel. Additionally, the process of continuous casting of slabs requires a large space for the casting operation because the tundish alone is located approximately 250 m above ground level and can hold several tons of steel. The roles of the distributor are to provide a certain constant quantity of the ...... middle of paper ......the principal numbers of Froude, Reynolds and Weber. The mathematical model predicts heat and mass transfer in a numerical framework for both transport phenomena relevant to the industry's continuous casting tundish system. Additionally, it exhibits excellent agreement between the outlet temperature and inlet temperatures in the inlet water flow in the distribution splitter model. The 8x8 grid and 16x16 grid simulations are applied to obtain a significant difference between the TAV maps in which both grids are calculated by software and represent the specific flow rate of the fluid in the model and the steel caster as a full-size system. Therefore, physical and mathematical modeling is used as a guide to build a model before constructing the prototype in terms of calculating, measuring and determining the specific fluid flow, heat and mass transfer in the water model..