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• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等概率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

物理代写|流体力学代写Fluid Mechanics代考|Application of Energy Balance

For the following reasons, we selected a gas turbine as an appropriate system. For better understanding, we apply the energy balance to the gas turbine components. The gas turbine engine shown in Fig. $5.9$ consists of a variety of components to which the energy balance in different form can be applied. These components can be categorized in three groups. The first group entails all those components that serve either the mass flow transport from one point of the engine to another or the conversion of kinetic energy into the potential energy and vice versa. Pipes, diffusers, nozzles, and throttle valves are representative examples of the first group. Within this group no thermal or mechanical energy (shaft work) is exchanged with the surroundings. In thermodynamic sense these components are assumed adiabatic. The second group contains those components within which thermal energy is generated or exchanged with the surroundings. Combustion chambers and heat exchangers are typical examples of these components. Thermodynamically speaking, in these cases we are dealing with diabatic systems. Finally, the third group includes components within which thermal and mechanical energy is exchanged. In the following sections, each group is treated individually.

物理代写|流体力学代写Fluid Mechanics代考|Application: Pipe, Diffuser, Nozzle

Pipes, nozzles, diffusers, compressor and turbine stator cascades, as well as throttle devices are a few examples. For this group, Eq. (5.85) reduces to:
$$H_{\text {out }}-H_{\text {In }}=0 \text {, or } H_{\text {out }}=H_{\text {in }}=\text { Const. }$$
Replacing the subscripts in and out by 1 and 2, the h-s-diagrams of the pipe, nozzle, and diffuser are shown in Fig. 5.11.

As this figure shows, the viscous flow causes entropy increase which results in a reduction of the total pressure from $P_1$ to $P_2$. The total pressure is the sum of static pressure, dynamic pressure, and the pressure due to the change of height:
$$P=p+\frac{1}{2} \rho V^2+\rho g z$$
neglecting the contribution of $\Delta g z$ results in the following relation for total pressure loss:
$$\Delta P=P_1-P_{12}=\left(p+\frac{1}{2} \varrho V^2\right)_1-\left(p+\frac{1}{2} \varrho V^2\right)_2 .$$
The area under the process-line reflects the irreversibility due to the internal friction which results in total preessure drop.

力学代考

物理代写|流体力学代写Fluid Mechanics代考|Application: Pipe, Diffuser, Nozzle

$$H_{\text {out }}-H_{\text {In }}=0 \text {, or } H_{\text {out }}=H_{\text {in }}=\text { Const. }$$

$$P=p+\frac{1}{2} \rho V^2+\rho g z$$

$$\Delta P=P_1-P_{12}=\left(p+\frac{1}{2} \varrho V^2\right)_1-\left(p+\frac{1}{2} \varrho V^2\right)_2 .$$

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MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

assignmentutor™您的专属作业导师
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