Fluid Mechanics 21 Introduction to Fluid Statics and Pascals Law

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In this segment, we introduce the fluid statics, derive the stress field for fluid statics, discuss special cases, and derive Pascal's law or (Pascal's Principle). • Table of Contents • 0:55 - Free Surface • 2:05 - Stress Field Derivation for Fluid Statics and Stress Tensor • 4:05 - Special Cases of Zero Shear Stresses • 7:12 - Derivation and Discussion of Pascal's Law • Module 2: Fluid Statics -- Manometry • In modules 2 and 3, we cover essential real-life applications of fluids in which the fluid is either stationary or moving with a constant velocity. For both these cases, the shear stresses become zero, and all primary stresses become minus pressure, which simplifies the mathematics significantly when compared to fluid dynamics applications. • Specifically, in module 2, we apply our finding to manometry. A manometer is a pressure measuring device that uses a standard technique for measuring pressure involves the use of liquid columns in vertical or inclined tubes. • Student Learning Outcomes: • After completing this module, you should be able to: • 1) Determine the pressure at various locations in a fluid at rest • 2) Explain the concept of manometers and apply appropriate equations to determine the pressure This material is based upon work supported by the National Science Foundation under Grant No. 2019664. Any opinions, findings, and conclusions, or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.

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