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Resin Molding and Rheology: Session 9 "Characteristic Equation of Power Law Fluids"

Resin Molding and Rheology: Session 9 "Characteristic Equation of Power Law Fluids"

Explanation using diagrams on the constitutive equations of purely viscous fluids, power law models, and comparison of velocity distributions!

In the case of pure viscous fluids, the equation that represents the quantitative relationship between stress and strain rate is called the constitutive equation or rheological equation. For Newtonian fluids, if temperature and pressure are constant, η becomes a constant. Therefore, the relationship between shear rate and shear stress is linear. On the other hand, for materials like plastics that are in a molten state, the relationship becomes nonlinear, and substances with this characteristic are collectively referred to as non-Newtonian fluids. [Contents] ■ Constitutive equations for pure viscous fluids ■ Power law model ■ Comparison of velocity distributions *For detailed content of the column, please refer to the related links. For more information, feel free to contact us.

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Resin Molding and Rheology, 18th Session: "On Extensional Flow"

Resin Molding and Rheology, 18th Session: "On Extensional Flow"

The deformation mode that extends in one direction and contracts in a direction perpendicular to it is called elongational flow!

When mochi is grilled, it expands. This is because the moisture inside turns into steam, increasing the internal volume and causing the mochi to puff up like a balloon. Due to the expansion of the internal steam, the distance between points A and B on the surface of the sphere widens, and the thickness becomes thinner. When it reaches a thinness that cannot withstand the internal pressure, it bursts. The deformation mode that stretches in one direction and contracts in a direction perpendicular to it is called extensional flow. In this column, we will explain "Extensional Flow." [Contents] - Shear Flow and Extensional Flow - Relationship between Shear Viscosity and Extensional Viscosity *For detailed content of the column, please refer to the related links. For more information, feel free to contact us.

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[Technical Column] The Necessity of Musculoskeletal Models

[Technical Column] The Necessity of Musculoskeletal Models

Muscles generate force (muscle tension) by contracting! Here are some examples of joint movements in the arm!

In this column, we will consider the differences between a rigid link model with only a skeleton and no muscles, and a musculoskeletal model that includes both the skeleton and muscles when modeling the human body. The foundation of physical activities such as walking, sitting, and standing is the bones of the entire body and the joints that connect them. Most visible physical activities are realized through the rotational movements of the bones around the joints. The skeletal muscles, which are said to number around 400 types, are responsible for these rotational movements. Muscles exert force (muscle tension) by contracting. There are no muscles that push or rotate. The contraction of muscles is converted into movements around the joints, enabling human motion. For more details, please refer to the related links. We encourage you to read it. *The detailed content of the column can be viewed through the related links. For further inquiries, please feel free to contact us.

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[Technical Column] Motion Equations Used in Resin Flow Analysis

[Technical Column] Motion Equations Used in Resin Flow Analysis

In general incompressible flow fluid analysis, the Navier-Stokes equations are used as the motion equations!

This column introduces the "Equations of Motion Used in Resin Flow Analysis." In general thermoplastic resins, the viscosity is very high relative to the density, and when considering injection molding, the thickness is thin compared to the area, allowing us to assume flow between parallel plates, with the representative length considered to be twice the thickness. Due to these factors, the Reynolds number becomes sufficiently small, and the effect of convection is considered to be small compared to viscosity, allowing us to omit the convection term. For more details, please refer to the related links. We encourage you to read it. *The detailed content of the column can be viewed through the related links. For more information, please feel free to contact us.*

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