物理 | EN.540.303 Transport Phenomena I

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这是一篇美国作业是传输现象相关的assignment
问题一
既然你已经听过关于什么是传输现象的介绍,那么有哪些
你在日常生活中遇到过动量、质量或能量转移的应用吗
列出并解释 2 个课堂上没有提到的例子。
问题二
我们考虑使用单位向量以指示符号表示的向量。
单位向量表示直角坐标系、圆柱坐标系或球面坐标系中的正交三元组
坐标。 周四向量的表示由下式给出:
向量分量在哪里,重复的事实表示从一到三的总和。 此外,对于置换符号,我们有以下恒等式,其中再次遵守求和约定:
使用向量分解为单位向量,以及性质,证明以下向量身份:
Problem 1
Now that you have heard the introduction to what transport phenomena is, What are some
applications of momentum, mass, or energy transfer that you have encountered in daily life
List and explain 2 examples that were not mentioned in class.
Problem 2
We consider vectors to be expressed using unit vectors in indicial notation.
The unit vectors represent the orthogonal triad in Cartesian, cylindrical, or sphreical
coordinates. Thurs the representation of the vectoris given by:
where are the vector components and the fact that is repeated indicates a summation from one to three. In addition, we have the following identities for the permutation symbol in which
the summation convention is again observed:
Using the decomposition of vectors into unit vectors, and the properties , prove
the following vector identities:

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