Fluid Mechanics - Vol 1 | 8. Pressure Field when Fluid is at Rest by Abraham | Learn Smarter
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8. Pressure Field when Fluid is at Rest

8. Pressure Field when Fluid is at Rest

This chapter covers the analysis of pressure fields in fluids at rest, examining the relationship between pressure, body forces like gravity, and the effects of hydrostatic equilibrium. It discusses the distinctions between gauge pressure and absolute pressure while introducing concepts such as hydrostatic pressure distribution and capillarity effects. The foundations laid here are crucial for understanding fluid behavior in both static and dynamic conditions.

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Sections

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  1. 8.
    Pressure Field When Fluid Is At Rest

    This section discusses the characteristics and derivation of the pressure...

  2. 8.1.1
    Introduction To Control Volume

    This section covers the concept of control volumes in fluid mechanics,...

  3. 8.1.2
    Forces Acting On The Control Volume

    This section discusses the forces acting on a fluid control volume at rest,...

  4. 8.1.3
    Pressure Field As A Function Of Coordinates

    This section discusses the determination of the pressure field in a...

  5. 8.1.4
    Approximation Of Pressure Using Taylor Series

    This section discusses the approximation of pressure fields in fluids at...

  6. 8.1.5
    Force Components Due To Pressure

    This section discusses the components of forces acting on a fluid at rest,...

  7. 8.1.6
    Hydrostatic Equations

    This section discusses the hydrostatic equations relevant to understanding...

  8. 8.2
    Gauge Pressure And Vacuum Pressure

    This section discusses the concepts of gauge pressure and vacuum pressure,...

  9. 8.2.1
    Definitions And Measurement

    This section explores the definitions and measurement methods related to...

  10. 8.2.2
    Atmospheric Pressure As A Datum

    This section explores the concept of pressure in fluid at rest, the...

  11. 8.3
    Pressure Distribution Equations

    This section discusses the derivation and significance of pressure...

  12. 8.3.1
    Alignment Of Gravity With Coordinate Axes

    This section discusses how pressure fields behave in fluids at rest,...

  13. 8.3.2
    Pressure Variation In A Horizontal Plane

    This section discusses the pressure distribution in a fluid at rest,...

  14. 8.3.3
    Integration Of Pressure Functions

    This section discusses how to derive the pressure distribution in a fluid at...

  15. 8.4
    Virtual Fluid Balls Concept

    This section discusses how pressure in a fluid at rest can be analyzed using...

  16. 8.4.1
    Pressure Calculation Via Weight Of Fluid Balls

    This section explains how to calculate pressure in a liquid at rest by...

  17. 8.8.5
    Capillary Effect

    The capillary effect describes how liquids rise or fall in small tubes due...

  18. 8.5.1
    Forces In Capillary Action

    This section discusses the dynamics of pressure in fluids at rest, focusing...

  19. 8.5.2
    Control Volume In Capillary Problems

    This section examines the principles of pressure distribution in fluids at...

  20. 8.6
    Mercury Barometer

    This section discusses the principles of pressure measurement using a...

  21. 8.6.1
    Measurement Of Atmospheric Pressure

    This section discusses the measurement of atmospheric pressure, focusing on...

  22. 8.7

    This section summarizes key concepts related to pressure in fluid mechanics,...

  23. 8.7.1
    Summary Of Key Concepts

    This section discusses how to derive the pressure field in fluids at rest,...

What we have learnt

  • Pressure in fluids acts normal to the surface in a fluid at rest.
  • Hydrostatic pressure changes linearly with depth in a fluid column.
  • Capillary action results from the balance between surface tension and weight of the fluid.

Key Concepts

-- Pressure Field
A spatial distribution of pressure values within a fluid determined by various forces acting on the fluid.
-- Hydrostatic Pressure
The pressure exerted by a fluid due to its weight when the fluid is at rest, varying linearly with depth.
-- Gauge Pressure
Pressure measured relative to local atmospheric pressure; positive when above atmospheric pressure and negative (vacuum) when below.
-- Capillarity
The ability of a liquid to flow in narrow spaces without external forces, influenced by surface tension and adhesion to surfaces.
-- Control Volume
A specified region within space through which fluid flows for analyzing fluid motion, forces, and pressure distributions.

Additional Learning Materials

Supplementary resources to enhance your learning experience.