Hydraulic Engineering

This section introduced viscous fluid flow and aimed at deriving the Navier-Stokes equation from its fundamental principles.

Prof. Mohammad Saud Afzal

This section introduces viscous fluid flow and aims to derive the Navier Stokes equation, highlighting foundational concepts in fluid mechanics.

Department Of Civil Engineering

This section provides a comprehensive understanding of viscous fluid flow, focusing on deriving the Navier-Stokes equation.

Indian Institute Of Technology - Kharagpur

This section focuses on the topic of viscous fluid flow and outlines a detailed approach to deriving the Navier-Stokes equations.

Lecture – 48: Viscous Fluid Flow

This lecture focuses on viscous fluid flow, specifically the derivation of the Navier-Stokes equation and the significant properties of fluids.

Introduction To Viscous Fluid Flow

This section introduces the concept of viscous fluid flow and lays the groundwork for deriving the Navier-Stokes equation.

Main Objective Of The Module

The module aims to derive the Navier-Stokes equation from scratch, focusing on viscous fluid flow.

Teaching Methodology

This section focuses on the methodology for teaching viscous fluid flow, emphasizing the derivation of the Navier-Stokes equation.

Overview Of Fluid Properties

This section introduces fluid properties critical to the understanding of viscous fluid flow, including classifications and key characteristics.

Fluid Classification

This section discusses the classification of fluids within the context of hydraulic engineering, focusing on the properties and types of fluids.

Kinematic Properties

This section covers the fundamental kinematic properties of fluids, including velocity, acceleration, and various rates of deformation, which are crucial for understanding fluid mechanics.

Transport Properties

This section introduces transport properties in hydraulic engineering, focusing on viscosity, thermal conductivity, and mass diffusivity.

Thermodynamic Properties

This section explores the key thermodynamic properties relevant to fluid mechanics, including kinematic and transport properties.

Miscellaneous Properties

This section explores the miscellaneous properties of fluids essential to understanding viscous fluid flow, including surface tension and vapor pressure.

Kinematic Properties In Detail

This section introduces kinematic properties of fluids, focusing on the derivation of fundamental concepts such as the Navier-Stokes equation and the behavior of fluid elements.

Material Derivatives

This section covers the basics of viscous fluid flow, focusing on material derivatives and related kinematic properties.

Types Of Motion Or Deformation

This section discusses the various types of motion and deformation that a fluid element can undergo, including translation, rotation, extensional strain, and shear strain.

Derivation Of Strain Rates

This section introduces the derivation of strain rates in viscous fluid flow, focusing on the substantial derivative and the types of motion a fluid element can undergo.

Transformation Of Fluid Element

This section discusses the transformation of fluid elements, focusing on the types of motion a fluid element can undergo and the significance of the deformation in fluid mechanics.

Detailed Derivation Process

This section focuses on the derivation of the Navier-Stokes equation, emphasizing the fundamental principles of viscous fluid flow.

Angular Velocities And Rotation

This section explores the concepts of angular velocity and rotation in the context of viscous fluid flow and introduces critical equations related to strain rates.

Rate Of Rotation In Z Direction

This section focuses on understanding the rate of rotation in the z direction within viscous fluid flow, highlighting the derivation of angular velocities and strain rates.

Equations In Vector Form

This section introduces the concepts of viscous fluid flow and explicitly focuses on deriving and understanding the Navier-Stokes equations.

Conclusion

The conclusion emphasizes the significance of the Navier-Stokes equations in understanding viscous fluid flow, highlighting the slow, detailed approach favored in the lessons.