Fluid Mechanics - Vol 2 | 16. Forces and Shear Stress in Fluids by Abraham | Learn Smarter
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16. Forces and Shear Stress in Fluids

The chapter discusses the dynamics of fluids, focusing on the relationship between shear stress, pressure, and viscosity, along with the calculation of forces due to these factors. It explores the implications of Reynolds number and Euler number in different flow scenarios, including laminar flow over a sphere and aerodynamic drag on automobiles. It emphasizes the application of fluid mechanics in diverse fields such as economic modeling.

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Sections

  • 16.

    Forces And Shear Stress In Fluids

    This section explores the concepts of shear stress, viscosity, and forces acting on fluids, focusing on their implications for fluid dynamics.

  • 16.1.1

    Force Due To Viscosity (Friction)

    This section discusses the forces resulting from viscosity in fluid dynamics, particularly shear stress and its relationship with Reynolds and Euler numbers.

  • 16.1.2

    Net Pressure Force

    The section explains the concept of net pressure force in fluid mechanics, focusing on various forces acting on fluid elements and their calculations.

  • 16.1.3

    Inertia Force Computation

    This section discusses the computation of inertia forces in fluid dynamics, focusing on the relationship between viscous forces and inertia in steady flow scenarios.

  • 16.2

    Dynamic Similarities And Flow Ratios

    This section discusses the principles of dynamic similarities and flow ratios, focusing on concepts like shear stress, inertia forces, and their applications in fluid mechanics.

  • 16.2.1

    Reynolds Numbers And Euler Numbers

    This section introduces Reynolds and Euler numbers, emphasizing their significance in analyzing fluid flow dynamics and the relationship between inertia and viscous forces.

  • 16.2.2

    Testing Of Automobiles In Wind Tunnel

    This section discusses the testing of automobiles in wind tunnels to analyze aerodynamic drag and the power required to counteract this drag.

  • 16.3

    Example Of Power Computation For Prototype

    This section covers the computation of power required for prototype testing, focusing on key fluid dynamics principles such as viscous and inertial forces.

  • 16.3.1

    Given Data And Parameters

    This section delves into the concept of fluid dynamics, focusing on viscosity, shear stress, and dynamic similarity, particularly applied to real-world examples like aerodynamic drag on vehicles.

  • 16.3.2

    Drag Force And Power Computation

    This section discusses the computation of drag force and power in fluid dynamics, particularly in the context of steady flow and the significance of Reynolds and Euler numbers.

  • 16.4

    Flow Over A Sphere: Gate 2017 Question

    This section discusses the analysis of fluid flow over a sphere, including concepts of drag force, dynamic similarity, and Reynolds numbers, illustrated with a GATE 2017 question.

  • 16.4.1

    Given Data For Laminar Flow

    This section focuses on the fundamentals of fluid flow, particularly laminar flow, and discusses key equations and concepts like shear stress and Reynolds number relevant for fluid dynamics.

  • 16.4.2

    Dynamically Similar Conditions And Force Calculation

    This section discusses the principles of dynamic similarity in fluid mechanics, focusing on force calculations relating to viscosity and aerodynamic drag.

  • 16.5

    Conclusion And Applications Of Fluid Mechanics

    This section discusses the applications of fluid mechanics in real-world scenarios, particularly in relation to pressure forces, inertia forces, and their mathematical representations.

  • 16.5.1

    Historical Contributions To Fluid Mechanics

    This section explores the foundational contributions of key figures in fluid mechanics, particularly in understanding fluid behavior and flow dynamics.

  • 16.5.2

    Application Of Fluid Mechanics In Economic Models

    This section discusses how fluid mechanics principles can be applied to develop economic models, particularly in urban development scenarios.

Class Notes

Memorization

What we have learnt

  • Understanding the relations...
  • Calculating power requireme...
  • Applying Reynolds and Euler...

Final Test

Revision Tests