Fluid Mechanics - Vol 2 | 1. Lecture - 13 by Abraham | Learn Smarter
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Knowledge
1. Lecture - 13

Fluid Mechanics explores the principles of fluid statics by solving practical problems relevant for competitive exams like GATE and Engineering Services. The chapter highlights the hydrostatic bench experiment, introduces various formulas for calculating forces and pressures in static fluids, and illustrates these concepts through detailed problem-solving. Important calculations include determining forces on gates, analyzing buoyancy, and understanding manometer functionalities.

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Sections

  • 1

    Fluid Mechanics

    This section covers fluid statics applications and problem-solving techniques relevant to the GATE and Engineering Service exams.

    Learning Practice

  • 1.1.1

    Lecture - 13

    This section focuses on practical applications of fluid statics through the resolution of example problems relevant to competitive exams.

    Learning Practice

  • 1.1.2

    Fluid Statics Applications: Example Problems

    This section covers various practical problems in fluid statics, emphasizing the theory's application in real-world scenarios.

    Learning Practice

  • 1.2

    Introduction To Hydrostatic Bench Experiment

    This section covers the fundamentals of the hydrostatic bench experiment setup, focusing on fluid statics applications and pressure measurements.

    Learning Practice

  • 1.2.1

    Experimental Setup Description

    This section describes the setup for the hydrostatic bench experiment used in studying fluid statics.

    Learning Practice

  • 1.2.2

    Basic Hydrostatic Concepts

    This section introduces fundamental concepts in hydrostatics, including pressure distribution in fluids at rest, forces on submerged surfaces, and stability considerations for floating bodies.

    Learning Practice

  • 1.3

    Formulas And Derivations

    This section focuses on key formulas and derivations pertaining to fluid statics, including various equations related to hydrostatic pressure, buoyancy, and surface tension.

    Learning Practice

  • 1.3.1

    Newton's Law Of Viscosity

    Newton's Law of Viscosity describes the relationship between shear stress and the velocity gradient in fluids, highlighting the concept of viscosity.

    Learning Practice

  • 1.3.2

    Capillarity Height

    The section discusses capillarity height, focusing on its derivation and implications within fluid mechanics.

    Learning Practice

  • 1.3.3

    Surface Tension

    This section explores the concept of surface tension, its definition, effects in fluid systems, and related principles.

    Learning Practice

  • 1.4

    Problem Solving

    This section focuses on problem-solving techniques in fluid statics, highlighting key formulas and example problems commonly found in exams.

    Learning Practice

  • 1.4.1

    Square Gate Problem

    The Square Gate Problem involves calculating the force required to maintain a square gate in position within a fully filled water tank based on hydrostatic pressure.

    Learning Practice

  • 1.4.2

    Flow Classification

    In this section, we explore the classification of fluid flow, focusing on characteristics such as static conditions, homogeneous fluids, and pressure distributions.

    Learning Practice

  • 1.4.3

    Pressure Distribution Description

    This section discusses the principles of pressure distribution in static fluids, focusing on hydrostatic pressure and its implications for various applications.

    Learning Practice

  • 1.5

    Further Problem Examples

    This section provides additional problem examples related to fluid statics, focusing on applications relevant to GATE and Engineering Service Exams.

    Learning Practice

  • 1.5.1

    Gate Question - Semi-Cylindrical Gate

    This section discusses the analysis and problem-solving techniques related to a semi-cylindrical gate in fluid mechanics, focusing on hydrostatic pressure distributions and equilibrium forces.

    Learning Practice

  • 1.5.2

    Hinge Moment Calculation

    This section deals with the calculation of hinge moments in fluid mechanics, particularly focusing on hydrostatics and the forces acting on submerged objects.

    Learning Practice

  • 1.5.3

    Object Submerged In Fluid

    This section discusses the principles of hydrostatics applied to objects submerged in fluid, focusing on pressure distribution, buoyancy, and equilibrium conditions.

    Learning Practice

  • 1.5.4

    Manometer Problems

    This section covers the fundamentals of manometer problems, including calculations for determining pressures using inclined manometers and buoyancy concepts.

    Learning Practice

  • 1.6

    Capillarity And Surface Tension

    This section discusses the principles of capillarity and surface tension in fluids, along with their implications and relevant formulas.

    Learning Practice

  • 1.6.1

    Capillary Rise In Annular Tubes

    This section discusses the principles of capillary action in annular tubes, focusing on the factors that influence capillary rise.

    Learning Practice

References

ch13 part a.pdf

Class Notes

Memorization

What we have learnt

  • Hydrostatic pressure varies...
  • The net force exerted by a ...
  • Surface tension and capilla...

Final Test

Revision Tests