This paper first examines the metallurgical process of continuous casting of steel slabs in terms of fluid flow, heat and mass transfers in manufacturing production. Finally, this article examines the physical and mathematical modeling in physical experiments and the mathematical models used to study in the process. Keywords: continuous casting, steel, slab, physical modeling, tundish, mathematical modeling, fluid flow, heat transfer, mass transfer, education, ratio1. IntroductionContinuous casting is a casting process used in the manufacturing industry to produce molten steel at a temperature of 1,600°C and converted into sheets of particular dimensions. This modern casting process is used in many steel producers as it offers superior casting quality, less material loss, cost reduction and a high productivity rate compared to the production of cast ingots [1]. Continuous slab casting is started by adding and mixing the basic raw materials such as steels, silicon, magnesium and other basic materials of steel production in the furnace. Steel has a low carbon content, less than 2% of the carbon in steel. The continuous sheet casting process begins with melting and mixing the raw materials in the furnace. The molten steel in the ladle is drawn from the bottom of the ladle into the intermediate container called the tundish thanks to the gravitational force, which helps fill the mold along the continuous pouring of the steel. Furthermore, the continuous slab casting process requires a large space for the casting operation as the tundish alone is approximately 250 m above ground level and can contain several tons of steel. The role of the basket is to provide some constant quantity of... middle of the paper... the main Froude, Reynolds and Weber numbers. 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. Furthermore, it has excellent agreement between the outlet temperature and the inlet temperature in the inlet water flow in the tundish model. The simulations of 8x8 grid and 16x16 grid are applied to obtain a significant difference between the TAV maps where both grids are calculated by the software represent the specific fluid flow in the model and the steel caster as a real size system. Therefore, physical and mathematical modeling is used as a guide to build a model before the prototype is built in terms of calculating, measuring and determining the specific fluid flow, heat and mass transfer in the water model..