计算流体力学——从原理到代码（五）：可压缩无粘流的计算方 …
符号 \rho, u, p, E, a, \gamma, H 分别代表 (单位体积上)：密度、速度、压力、能量、声速、泊松比（比热容比）、热焓。 一维完全气体的欧拉方程的拟线性形式： 守恒型：
Heat capacity ratio - Wikipedia
In thermal physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio of the heat capacity at constant pressure (C P) to heat capacity at constant volume (C V).
为什么流体力学中理想气体方程的状态方程经常表示为ρ =P/RT而 …
p = \rho R T \tag{6} 其中， \rho = \frac{1}{V} 为气体密度，此时 V 代表单位质量气体的体积， 定义气体常数 为 R = \frac{R_{0}}{M} \tag{7}
Isentropic Flow Equation Derivation - NASA
May 7, 2021 · We begin with the definitions of the specific heat coefficients: where cp is the specific heat coefficient at constant pressure, cv is the the specific heat coefficient at constant volume, gamma is the ratio of specific heats, and R is the gas constant from the equation of state.
Isentropic Flow Equations - NASA
May 13, 2021 · p / r^gam = constant We can determine the value of the constant by defining total conditions to be the pressure and density when the flow is brought to rest isentropically. The "t" subscript used in many of these equations stands for "total conditions".
是不是密度越小，声速越大？如果是，为什么？ - 知乎
γ的值由式子 \gamma =1+\frac{2}{f} 给出，f是分子的自由度，和气体的分子结构有关。 单原子分子如稀有气体，只有三个平动自由度，因此 γ = 5/3≈1.66，双原子分子如氢气，氧气，氮气，有三个平动自由度和两个转动自由度，因此 γ =7/5=1.4。
磁流体力学基本方程之物态方程（理想气体） - 知乎专栏
绝热指数(定压热容与定体(容)热容之比) \gamma=\frac{s+2}{2}, 即 s=\frac{2}{\gamma-1},所以有 (\gamma-1)\rho\mathscr{U}=p\ \ \ \ \ \ \ \ \ \ \ \ \ [2]\\ 现在计算在流动中的压强变化。
《空气动力学》中H=(γ/γ-1)p/ρ+V^/2的γ是什么量 ... - 知乎
Jul 17, 2022 · 考虑流动介质可以用多方气体（polytropic gas）模型描述，即满足 p / \rho^ {\gamma} \equiv \text {const.} ，并满足完全气体假设（perfect gas），则有以下热力学关系式成立. \begin {align} p & = \rho R T \label {eq001} \tag {1} \\ e & = c_ {v} T \label {eq002} \tag {2} \\ h & = c_ {p} T \label {eq003} \tag {3} \end {align}
Shock waves in gas dynamics — Physics 111a -- Fluid Mechanics
We also assume that the gas is homentropic: that is, that the entropy takes the form \(S = \ln p/\rho^{\gamma} \equiv \ln c\) is not just conserved for each fluid element (as in (3.57) of Acheson), but constant throughout the flow. We will now solve Acheson problem 3.22 to find equations for the 1d homentropic gas which are more suitable for ...
笔记：守恒形Euler方程黎曼不变量 - 知乎 - 知乎专栏
\frac{du_1}{2(\gamma-1)}=\frac{du_4}{A_-} \to (\frac{a^2}{\gamma-1}-ua+\frac12(u^2+v^2)) d\rho=d(\rho e+\frac12\rho(u^2+v^2)) 利用完全气体关系式： a^2=\gamma\frac p\rho=\frac{\gamma e}{\gamma-1} \to \frac{a^2}{\gamma}d\rho-uad\rho …