diff --git a/docs/assets/css/unicado.css b/docs/assets/css/unicado.css index 88372568650c79e24c080e4488fc1663cc942c40..8c612d43564dd53cc8e6fc1cba976cbd31b775df 100644 --- a/docs/assets/css/unicado.css +++ b/docs/assets/css/unicado.css @@ -37,6 +37,21 @@ font-size: 1.1em; } +/* Make all LaTeX-style math equations white */ +:root { + --math-color: #ffffff; /* Set the default color for equations */ +} + +/* MathJax equations */ +.MathJax, mjx-container, math { + color: var(--math-color) !important; +} + +/* KaTeX equations */ +.katex, .katex-display { + color: var(--math-color) !important; +} + /* Download button styling */ .download-button-container { text-align: center; diff --git a/docs/documentation/sizing/propulsion_design/engineering_principles.md b/docs/documentation/sizing/propulsion_design/engineering_principles.md index 3ee23c713be64de6c58142ff1c3b54d11fb0e979..8af8f50a8cf03ea42ca0ddd57c5fc31028aae6d7 100644 --- a/docs/documentation/sizing/propulsion_design/engineering_principles.md +++ b/docs/documentation/sizing/propulsion_design/engineering_principles.md @@ -20,6 +20,15 @@ For these five disciplines, you can choose different methods of calculating thei | **Mass analyzer** | *Default* | +For these five disciplines, you can choose different **methods** (or fidelities) of calculating their output. Here is an overview of the current implemented methods (details see sections): + +| Discipline | Methods | +|---------------------|-------------------------------------------------------------------| +|Engine designer | *Rubber* (*Empirical* and *PropulsionSystem* are in preparation) | +|Propulsor integrator | *Default* | +|Nacelle designer | *Default* | +|Pylon designer | *Default* | +|Mass analyzer | *Default* | If you want to learn more about how to configure methods or generally the settings and outputs, go to the [getting started](getting-started.md). @@ -55,19 +64,15 @@ The _scale factor_ is necessary for the rubber method as it uses the concept of The scaling is based on continuity principle assuming that the engine characteristics are constant. -$T = \dot{m} \cdot (V_9 - V_0)$ +$$ \textcolor{white}{T = \dot{m} \cdot (V_9 - V_0)} $$ -Therefore, thrust $T$ is proportional to the mass flow $\dot{m}$, which is linearly related to the cross-sectional area $A$ of the engine. +Therefore, thrust $T$ is proportional to the mass flow $\dot m$, which is related to the cross-sectional area $A$ of the engine. -\[ -\dot{m} = \rho \cdot V \cdot A = \rho \cdot V \cdot \pi \frac{d}{2}^2 -\] +$$ \dot m = \rho \cdot V \cdot A = \rho \cdot V \cdot \pi \frac{d}{2}^2 $$ -Because area $A$ is proportional to the square of the diameter $d$, it follows that the diameter should be proportional to the square root of the scale factor. +Because area $A$ is proportional to the square of the diameter $d$ , it follows that the diameter should be proportional to the square root of the scale factor. -\[ -d_{\text{new}} = d_{\text{ref}} \cdot \left( \frac{T_{\text{new}}}{T_{\text{ref}}} \right)^{0.5} -\] +$$ \textcolor{white} d_{new} = d_{ref} \cdot ( \frac{T_{new}}{T_{ref}} )^{0.5} $$ An exemplary simplified calculation (data from the V2527-A5): the current engine provides $127.27~\text{kN}$ as sea level static thrust, but for the design only $100~\text{kN}$ are needed. The scaling factor would be $0.7857$. Assuming an initial diameter $2~\text{m}$, the new diameter would be $1.773~\text{m}$ with the scaling factor of $(0.7857)^{0.5} = 0.8864$. @@ -108,16 +113,15 @@ Here, currently only one method is implemented: This method includes multiple empirical functions for different propulsion integration. These are the options that are currently implemented: -| Parent | Lateral | Longitudinal | Vertical | -|------------|---------|--------------|----------| -| Wing | Right | Front | Under | -| Wing | Left | Front | Under | -| Wing | Right | Front | Over | -| Wing | Left | Front | Over | -| Fuselage | Right | Rear | Mid | -| Fuselage | Left | Rear | Mid | -| Empennage | Mid | Front | In | - +| Parent | Lateral | Longitudinal | Vertical | +|-----------|---------|--------------|----------| +| Wing | Right | Front | Under | +| Wing | Left | Front | Under | +| Wing | Right | Front | Over | +| Wing | Left | Front | Over | +| Fuselage | Right | Rear | Mid | +| Fuselage | Left | Rear | Mid | +| Empennage | Mid | Front | In | For detailed information, it is referred to the thesis.