hide date, hydraulic diameter, reynolds number, kinematic viscosity

README.md

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 Welcome to [https://stemformulas.com/](https://stemformulas.com/), the site with the goal of being the best place in the world to look for STEM-related formulas.
 
 ## Features:
-- 84 formulas and counting (we gotta pump those numbers up)
+- 87 formulas and counting (we gotta pump those numbers up)
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config/_default/params.toml

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   showRecent = false
 
 [article]
-  showDate = true
+  showDate = false # set to true to add "added on" back
   showDateUpdated = false
   showAuthor = false
   showBreadcrumbs = false

content/formulas/hydraulic-diameter/index.md

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+---
+title: Hydraulic Diameter
+description: "The generalized characteristic length scale for flow in pipes."
+summary: "The generalized characteristic length scale for flow in pipes."
+tags: ["physics", "fluid dynamics"]
+date: 2024-03-14
+latex: D_h = \frac{4A_c}{P}
+---
+
+{{< katex >}}
+
+The hydraulic diameter is a characteristic length scale for fluid flow in non-circular pipes. It replaces the diameter of a circular pipe with an equivalent diameter based on the cross-sectional area and wetted perimeter of the non-circular pipe. It is defined as:
+
+$$ D_h = \frac{4A_c}{P} $$
+
+Where:
+
+- \\(D_h\\) is the hydraulic diameter,
+- \\(A_c\\) is the cross-sectional area of the flow, and
+- \\(P\\) is the wetted perimeter of the cross-section.
+
+## Sources
+
+- [Wikipedia](https://en.wikipedia.org/wiki/Hydraulic_diameter)
+- [Engineering Toolbox](https://www.engineeringtoolbox.com/hydraulic-equivalent-diameter-d_458.html)

content/formulas/kinematic-viscosity/index.md

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+---
+title: Kinematic Viscosity
+description: "The ratio of the dynamic viscosity to the density of a fluid."
+description: "The ratio of the dynamic viscosity to the density of a fluid."
+tags: ["fluid mechanics", "physics"]
+date: 2024-03-13
+latex: "\nu = \\frac{\\mu}{\\rho}"
+---
+
+{{< katex >}}
+
+Kinematic viscosity is the ratio of the viscosity (dynamic viscosity) to the density of a fluid:
+
+$$ \nu = \frac{\mu}{\rho} $$
+
+Where:
+
+- \\(\nu\\) is the kinematic viscosity of the fluid,
+- \\(\mu\\) is the dynamic viscosity of the fluid, and
+- \\(\rho\\) is the density of the fluid.
+
+## Sources
+
+- [Wikipedia](https://en.wikipedia.org/wiki/Viscosity#Kinematic_viscosity)

content/formulas/reynolds-number/index.md

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+---
+title: Reynolds Number
+description: "The dimensionless number representing the ratio of inertial and viscous forces."
+summary: "The dimensionless number representing the ratio of inertial and viscous forces."
+tags: ["physics", "fluid dynamics"]
+date: 2024-03-14
+latex: Re = \frac{\rho v L}{\mu}
+---
+
+{{< katex >}}
+
+Reynolds number is a dimensionless quantity that is used to help predict flow patterns in different fluid flow situations. It is defined as the ratio of inertial forces to viscous forces and consequently quantifies the relative importance of these two types of forces for given flow conditions.
+
+$$ Re = \frac{\rho v L}{\mu} $$
+
+Where:
+
+- \\(\small Re\\) is the Reynolds Number,
+- \\(\small \rho\\) is the density of the fluid,
+- \\(\small v\\) is the velocity of the fluid relative to the object,
+- \\(\small L\\) is a characteristic linear dimension (such as diameter of a circular pipe, hydraulic diameter of a non-circular pipe, or length of a body), and
+- \\(\small \mu\\) is the dynamic viscosity of the fluid.
+
+## Sources
+
+- [Wikipedia](https://en.wikipedia.org/wiki/Reynolds_number)
+- [Engineering Toolbox](https://www.engineeringtoolbox.com/reynolds-number-d_237.html)

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