Newtonian fluids are characterized by a constant viscosity regardless of the stress applied or the flow conditions, meaning their flow behavior is linearly proportional to the applied shear stress. This makes them predictable and straightforward to model mathematically, as described by Newton's law of viscosity.

Newtonian Fluids

Newtonian fluids

constant viscosity

stress applied

flow conditions

Flow behavior refers to the manner in which fluids or other materials move and deform under applied forces, characterized by parameters such as viscosity, elasticity, and plasticity. Understanding flow behavior is crucial for predicting and controlling the performance of materials in various engineering and scientific applications, including manufacturing, geophysics, and biology.

flow behavior

Shear stress is a measure of how a force is distributed parallel to a surface, causing layers of a material to slide against each other. It plays a crucial role in determining the structural integrity and deformation behavior of materials under load, influencing fields such as fluid dynamics, material science, and civil engineering.

shear stress

Predictable flow

Mathematical modeling is a process of creating abstract representations of real-world systems using mathematical language and structures to predict and analyze their behavior. It is a crucial tool in various fields, enabling researchers and professionals to simulate complex phenomena, optimize solutions, and make informed decisions based on quantitative data.

Mathematical Modeling

Newton's Law of Viscosity states that the shear stress between adjacent fluid layers is proportional to the velocity gradient perpendicular to the direction of flow. This relationship characterizes fluids as Newtonian when the viscosity remains constant regardless of the applied stress or shear rate.

Relevant Degrees

Your Lessons