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18. Laminar and turbulent flow (Cond.)

The chapter discusses the fundamentals of laminar and turbulent flow in hydraulic engineering, detailing the characteristics, governing equations, and practical implications of each flow condition. Key problems are solved to illustrate the application of related concepts, such as maximum velocity, pressure drop, shear stress, and terminal velocity of particles in fluid. Moreover, it introduces Reynolds decomposition to describe turbulent flow, emphasizing the transition between laminar and turbulent regimes.

Sections

Hydraulic Engineering

This section covers the fundamentals of laminar and turbulent flow in hydraulic engineering, emphasizing flow characteristics, calculations, and significant equations.

1 Section Overview

Start current section content and materials

1.1 Laminar and turbulent flow (Cond.)

This section covers the principles of laminar and turbulent flow, discussing calculations related to velocity, pressure drop, and shear stress in fluid mechanics.

1.2 Problem on Laminar Flow between Two Plates

This section focuses on solving problems related to laminar flow between two parallel plates, emphasizing the calculation of parameters such as maximum velocity, pressure drop, and shear stress.

1.3 Velocity Profile for Fully Developed Laminar Flow

This section discusses the velocity profile of fully developed laminar flow between parallel plates, emphasizing its significance in hydraulic engineering.

1.4 Stokes Law

Stokes Law describes the motion of a sphere in a viscous fluid and outlines the relationship between drag force and terminal velocity.

1.5 Terminal Fall Velocity

This section explains the concept of terminal fall velocity, its derivation, and the forces acting on a sphere falling through a fluid.

1.6 Turbulent Flow

This section focuses on the characteristics of turbulent flow, including its instability, fluctuating patterns, and the critical Reynolds number that delineates laminar and turbulent regimes.

1.7 Reynolds Experiment

The Reynolds Experiment illustrates the transition between laminar and turbulent flow using dye injection in fluid flow.

1.8 Reynolds Decomposition

Reynolds Decomposition allows for the breakdown of instantaneous fluid properties into time-averaged values and fluctuations.

Learning Objectives

  • Laminar flow is characterized by parallel layers of fluid, whereas turbulent flow involves chaotic fluctuations.

  • The maximum velocity in laminar flow can be derived using known equations, which relate shear stress and pressure gradients.

  • Reynolds number is critical for determining the flow regime, with specific thresholds marking the transition from laminar to turbulent flow.

Key Concepts

Laminar Flow

A type of fluid flow where the fluid moves in smooth paths or layers with minimal disturbance between them.

Turbulent Flow

A type of fluid flow characterized by chaotic property changes, including rapid variation of pressure and flow velocity.

Reynolds Number

A dimensionless quantity used to predict flow patterns in different fluid flow situations.

Terminal Velocity

The constant speed achieved by an object freely falling through a fluid when the force of gravity is balanced by the drag force.

Stokes Law

An equation that gives the drag force experienced by a sphere moving through a viscous fluid, applicable in the creeping flow regime.

Practice Exercises

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting
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