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所在平台: Udemy |
课程主页: https://www.udemy.com/course/fluid-mechanics-advanced-mathematical-derivations/
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课程名称：流体力学 - 高级数学推导 概述：此流体力学高级课程专注于边界层理论、封闭管道流动、层流与湍流、以及可压缩流体的流动。课程第一部分介绍边界层的概念，包括马格努斯效应、环流以及边界层分离。接着第二部分聚焦于封闭管道流动，涵盖雷诺实验、管道中的能量损失，以及液压和能量梯度线的介绍。同时，比较分析了串联与并联管道中流体的流动特性。第三部分中，作者推导了层流和湍流的数学方程，特别是固定平行板间流体的平面泊肃叶流动，以及直管和倾斜管中的流动。此外，湍流相关的方程也在此部分中进行讨论。最后一部分深入探讨可压缩流体的流动，通过详细的数学推导介绍了马赫数及其在声波传播中的应用、亥加德方程以及可压缩流动中的正常冲击。同时，对停滞性质进行了数学处理。本课程采用高级数学推导方法，帮助学生掌握流体力学的高级概念，逐步详细推导多种数学公式。该课程旨在帮助本科及研究生学生为流体力学领域的评估做好准备，尤其适合有志于研究流体力学的机械、电气及土木工程专业的学生。
This advanced course in Fluid Mechanics deals with the concepts of boundary layer theory, closed conduit flow, laminar & turbulent flows, flow of compressible fluid. First section introduces the Boundary layer concepts like the Magnus effect, circulation and boundary layer separation to the learners. This is followed by a focus on the closed conduit flow to the mechanics of fluids in the Section-2 comprising of an introduction to Reynolds experiment, energy losses in pipes, Hydraulic and Energy Gradient lines. Comparative study of flow of fluid through pipes in series versus pipes in parallel is also carried out in this section. Next to this in Section-3, the author derived the mathematical derivations for Laminar and Turbulent flows. To be specific, derivations for the plane poiseuille flow of fluid between two fixed parallel plates, flow through straight as well as inclined tubes is derived. Turbulent flow relations are also chalked out here. The last section provides an insight into flow of compressible fluid with detailed mathematical derivations of Mach Number and its applications to propagation of sound waves, Hugnoit equation and normal shock for compressible fluid flow. The stagnation properties is studies through a mathematical treatment.An advanced mathematical derivative approach is followed which helps the students to gain the advanced concepts of mechanics of fluids. A step-by-step and detailed derivations of the various mathematical formulae is traced in this advanced course work on fluid mechanics. This course shall help the under-graduate as well as post-graduate students to prepare themselves for the assessment in the area of fluid mechanics. On the whole, this course tastes better for the students of the graduation program pertaining to mechanical, civil as well as electrical engineering with a flair for the study of fluid mechanics.
