Fluid Mechanics & Hydraulic Machines | Rotodynamic Machines by Pavan | Learn Smarter
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Rotodynamic Machines

The chapter focuses on the momentum equation and various methods of flow measurement in fluid dynamics. It covers fundamental equations including the Navier-Stokes equations and Bernoulli's equation, detailing their applications and implications in analyzing fluid behavior. Various instruments, such as orifices, Venturimeters, and Pitot tubes, are introduced for measuring flow rates and velocities in different flow conditions.

Sections

  • 1

    Momentum Equation

    The Momentum Equation derives from Newton's Second Law and is fundamental to understanding fluid dynamics in systems such as pipe flows and nozzles.

  • 2

    Navier–stokes Equations

    The Navier-Stokes equations describe the motion of viscous fluid substances, representing fundamental principles in fluid dynamics.

  • 3

    Euler’s Equation

    Euler's Equation is a special case of the Navier–Stokes equations applicable to inviscid flow, forming the foundation for Bernoulli’s equation.

  • 4

    Bernoulli’s Equation (Revisited)

    Bernoulli's Equation describes the conservation of mechanical energy in fluid flow.

  • 4.1

    Applications Include

    The section discusses various applications of fluid dynamics, emphasizing flow measurement and energy conservation.

  • 5

    Flow Through Orifices

    This section outlines the principles of flow through orifices, including the calculation of discharge from free jet orifices and orifices in pipes.

  • 5.1

    Free Jet Orifice (Steady And Unsteady Flow)

    This section discusses the flow of fluid through free jet orifices, highlighting the concept of discharge and the factors impacting fluid dynamics in steady and unsteady conditions.

  • 5.2

    Orifice In A Pipe

    This section discusses the flow of fluids through an orifice in a pipe and the additional losses incurred due to pipe friction.

  • 6

    Venturimeter

    The Venturimeter is a device that measures pipe flow rate based on pressure differences, utilizing Bernoulli’s principle.

  • 7

    Flow Over Notches

    This section discusses the equations used for measuring discharge over different types of notches in open channels.

  • 7.1

    Rectangular Notch

    This section discusses how rectangular notches are used to measure water flow in open channels.

  • 7.2

    Triangular (V-Notch)

    This section discusses the principles and equations used to measure flow over triangular notches, focusing on the specific formula for discharge measurement.

  • 7.3

    Where

    This section covers important equations used in fluid dynamics, including the momentum equation, Navier-Stokes equations, and Bernoulli's equation, along with flow measurement techniques.

  • 8

    Pitot Tube

    A Pitot tube is a device used to measure the point velocity of fluid in a flow field by utilizing the pressure difference between a stagnation point and the static pressure.

Class Notes

Memorization

What we have learnt

  • The momentum equation is de...
  • Bernoulli's equation relate...
  • Instruments like the Ventur...

Final Test

Revision Tests