Fluid Mechanics - Vol 2 | 4. Mass Conservation Equation by Abraham | Learn Smarter
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4. Mass Conservation Equation

The chapter delves into the applications of momentum conservation principles in fluid mechanics, particularly focusing on scenarios involving control volumes. It elaborates on the significance of mass flow rates, pressure distributions, and the behavior of incompressible and compressible flow regimes. Various examples, including water jets and spacecraft deceleration, illustrate the practical applications of these concepts.

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Sections

  • 4.

    Mass Conservation Equation

    This section discusses the mass conservation equation, exploring inflow and outflow dynamics in fluid systems, particularly in incompressible flow scenarios.

    Learning Practice

  • 4.1.1

    Inflow And Outflow

    This section introduces the concept of mass conservation in flow systems, focusing on the relationship between inflow and outflow parameters.

    Learning Practice

  • 4.1.2

    Incompressible Flow

    Incompressible flow fundamentals revolve around mass conservation, velocity calculations, and how forces are derived from momentum changes in fluid systems.

    Learning Practice

  • 4.1.3

    Volumetric Discharge

    This section discusses the principles of volumetric discharge in fluid mechanics, defined by the mass conservation equation, inflow and outflow balance, and the applications of momentum flux in moving control volumes.

    Learning Practice

  • 4.1.4

    Momentum Flux Changes

    This section discusses the principles of momentum flux changes in fluid dynamics, specifically focusing on mass conservation, momentum flux components, and their applications in different scenarios.

    Learning Practice

  • 4.2

    Force Analysis

    This section delves into the principles of force analysis through mass conservation equations, focusing on incompressible flow and momentum conservation.

    Learning Practice

  • 4.2.1

    Pressure Components And Reynolds Transport Theorems

    This section discusses the principles of mass conservation in fluid dynamics, particularly through the application of Reynolds transport theorems and understanding pressure components.

    Learning Practice

  • 4.2.2

    Force Calculation In Moving Conditions

    This section covers the principles of force calculation under moving conditions, focusing on mass conservation and momentum flux in control volumes.

    Learning Practice

  • 4.3

    Water Jet Impinging On A Flat Plate

    This section explores the principles of mass conservation and momentum flux associated with a water jet impinging on a flat plate.

    Learning Practice

  • 4.3.1

    Assumptions And Parameters

    This section discusses the principles of mass conservation, momentum flux, and flow characteristics in fluid dynamics.

    Learning Practice

  • 4.3.2

    Mass Conservation Equations

    This section discusses the mass conservation equations and their application to fluid dynamics, focusing on incompressible flow scenarios.

    Learning Practice

  • 4.3.3

    Two-Dimensional Flow Classification

    This section focuses on the classification of two-dimensional flow and its application in fluid dynamics, emphasizing mass conservation and momentum principles.

    Learning Practice

  • 4.4

    Horizontal Jet Striking A Vane

    This section discusses the principles of fluid dynamics, focusing on the impact of a horizontal jet on a vane and the relevant conservation equations.

    Learning Practice

  • 4.4.1

    Anchoring Force Calculation

    This section covers the principles of anchoring force calculation in fluid mechanics by applying mass conservation and momentum equations.

    Learning Practice

  • 4.4.2

    Momentum Conservation Equation Application

    This section discusses the application of momentum conservation equations in fluid dynamics, emphasizing mass conservation and the calculation of forces in various flow scenarios.

    Learning Practice

  • 4.5

    Decelerating Spacecraft

    This section covers the principles of mass conservation, momentum flux, and the impact of forces on decelerating spacecraft.

    Learning Practice

  • 4.5.1

    Control Volume And Momentum Equations

    This section focuses on the application of mass conservation and momentum equations within control volumes for fluid dynamics.

    Learning Practice

  • 4.5.2

    Mass Flow Rate And Thrust Calculation

    This section focuses on the mass flow rate and thrust calculation using the principles of fluid mechanics, particularly in understanding the conservation of mass and momentum for incompressible flows.

    Learning Practice

  • 4.5.3

    Final Velocity And Force Calculation

    This section discusses the application of mass conservation equations and momentum flux to calculate final velocity and force in fluid dynamics.

    Learning Practice

References

ch14 part b.pdf

Class Notes

Memorization

Final Test

Revision Tests