Lecture

Mod-01 Lec-21 Lecture-21

In this module, students will delve into microscopic balances using differential equations to analyze fluid behavior. Key areas of focus will include:

  • A detailed study of the Navier-Stokes equations and their applications.
  • Understanding the principles of dimensional analysis.
  • Exploring inviscid and potential flows, and their relevance in various scenarios.

This module aims to equip students with the tools needed to analyze complex fluid flow situations quantitatively.


Course Lectures
  • Mod-01 Lec-01Lecture-01
    Dr. V. Shankar

    In this first module, students will be introduced to the fundamental concepts of fluid mechanics essential for understanding fluid flow. The topics will cover:

    • The nature of fluids and their properties.
    • Fluid statics and the principles governing fluids at rest.
    • Basic concepts of pressure, density, and buoyancy.

    This foundational knowledge is crucial as it sets the stage for more complex fluid dynamics topics that will be addressed in later modules.

  • Mod-01 Lec-02 Lecture-02
    Dr. V. Shankar

    This module focuses on macroscopic (integral) balances for mass, energy, and momentum. Students will learn how to apply these balances to various engineering scenarios. Key areas include:

    1. Understanding the engineering Bernoulli equation.
    2. Applying mass balance to systems involving fluid flow.
    3. Evaluating energy balances in fluid systems.

    Real-world applications will be emphasized to help students grasp these essential concepts.

  • Mod-01 Lec-03 Lecture-03
    Dr. V. Shankar

    This module delves into microscopic (differential) balances, primarily focusing on the Navier-Stokes equations. Students will engage in:

    • Derivation of the Navier-Stokes equations.
    • Understanding the significance of these equations in fluid mechanics.
    • Solving simple applications that illustrate the concepts of fluid motion.

    By the end of this module, students will appreciate the role of differential equations in analyzing fluid dynamics.

  • Mod-01 Lec-04 Lecture-04
    Dr. V. Shankar

    In this module, students will explore dimensional analysis, an essential tool in fluid mechanics. The content will cover:

    • The principles of dimensional homogeneity.
    • Techniques for reducing complex fluid problems using dimensionless numbers.
    • Applications of dimensional analysis in predicting flow behavior.

    This understanding will aid students in simplifying fluid dynamics problems in practical contexts.

  • Mod-01 Lec-05 Lecture-05
    Dr. V. Shankar

    This module addresses pipe flows and introduces friction factor charts, essential for understanding flow in conduits. Topics include:

    • Characteristics of laminar and turbulent flows in pipes.
    • Factors affecting friction loss in pipelines.
    • Utilization of friction factor charts for practical calculations.

    Through examples, students will learn to apply this knowledge in real-world chemical engineering scenarios.

  • Mod-01 Lec-06 Lecture-06
    Dr. V. Shankar

    This module covers flow past solid bodies, focusing on drag forces and settling phenomena. Key topics include:

    • Understanding the concept of drag and its dependency on flow conditions.
    • Applications of drag in real-world scenarios, including sedimentation.
    • Factors influencing the behavior of immersed bodies in a fluid.

    Students will engage in problem-solving exercises to reinforce this knowledge.

  • Mod-01 Lec-07 Lecture-07
    Dr. V. Shankar

    In this module, we will explore the fundamental principles of fluid statics, which is essential for understanding fluid behavior at rest. The key concepts covered include:

    • Hydrostatic pressure and its variation with depth
    • The concept of buoyancy and Archimedes' principle
    • Manometry and pressure measurement techniques
    • Applications of fluid statics in engineering problems

    We will also discuss real-world scenarios where fluid statics plays a critical role, including applications in dam design and underwater pressure calculations.

  • Mod-01 Lec-08 Lecture-08
    Dr. V. Shankar

    This module focuses on macroscopic balances for mass, energy, and momentum, which are vital in analyzing fluid systems. We will cover:

    1. Application of the continuity equation for mass balance
    2. The first law of thermodynamics for energy balance
    3. Newton's second law as it applies to momentum balance

    Students will engage in problem-solving exercises to apply these concepts to real-world engineering challenges, enhancing their analytical skills.

  • Mod-01 Lec-09 Lecture-09
    Dr. V. Shankar

    This module introduces students to the basic principles of fluid dynamics using the Navier-Stokes equations, which describe the motion of fluid substances. Key topics include:

    • Derivation of the Navier-Stokes equations
    • Applications in simple flow scenarios
    • Boundary conditions and initial value problems
    • Numerical methods for solving fluid flow problems

    Students will also analyze different types of flows, enhancing their understanding of fluid behavior in various contexts.

  • Mod-10 Lec-10 Lecture-10
    Dr. V. Shankar

    This module covers dimensional analysis, a crucial tool for understanding the relationships between various physical quantities in fluid mechanics. Topics include:

    1. Fundamental dimensions and units of measurement
    2. Dimensional homogeneity and Buckingham Pi theorem
    3. Applications in simplifying fluid mechanics problems

    Through practical examples, students will learn how to apply dimensional analysis to predict the behavior of fluid systems without extensive calculations.

  • Mod-01 Lec-11 Lecture-11
    Dr. V. Shankar

    This module delves into the concepts of both laminar and turbulent flows, crucial for understanding fluid behavior in real-world applications. We will study:

    • Characteristics of laminar flow and its governing equations
    • Transition from laminar to turbulent flow
    • Properties of turbulent flow and its modeling approaches
    • Applications in engineering, including pipe flow and mixing processes

    Students will engage with practical examples to analyze flow regimes effectively, enhancing their understanding of fluid dynamics in various settings.

  • Mod-01 Lec-12 Lecture-12
    Dr. V. Shankar

    This module focuses on the practical aspects of fluid transportation, including the design and operation of pumps, compressors, and valves. Key areas of study will include:

    • Types of pumps and compressors used in industry
    • Selection criteria for fluid transportation devices
    • Flow control techniques using valves
    • Performance metrics and efficiency of fluid transportation

    Students will analyze case studies and perform calculations to understand the operational characteristics of these devices in chemical engineering systems.

  • Mod-01 Lec-13 Lecture-13
    Dr. V. Shankar

    In this module, students will explore the fundamentals of fluid mechanics, establishing a strong foundation for understanding fluid behavior. Topics include:

    1. Introduction to fluid properties and types.
    2. Basic principles of fluid statics.
    3. Applications of pressure measurement techniques.

    Through lectures and practical examples, students will learn about the key concepts that govern fluid behavior in chemical engineering contexts.

  • Mod-01 Lec-14 Lecture-14
    Dr. V. Shankar

    This module delves into the macroscopic (integral) balances for mass, energy, and momentum. Key learning points include:

    • Understanding integral balances for fluid flow.
    • Applications of the engineering Bernoulli equation.
    • Real-world examples illustrating these concepts.

    Students will engage in problem-solving exercises to reinforce the theoretical knowledge gained.

  • Mod-01 Lec-15 Lecture-15
    Dr. V. Shankar

    This module introduces microscopic balances, specifically the Navier-Stokes equations, which are crucial for understanding fluid dynamics. Topics include:

    • Basic derivation and applications of the Navier-Stokes equations.
    • Understanding the significance of these equations in various flow scenarios.
    • Simple practical applications to illustrate concepts.

    Students will work through exercises that highlight the importance of differential approaches in fluid mechanics.

  • Mod-01 Lec-16 Lecture-16
    Dr. V. Shankar

    This module covers dimensional analysis and its importance in fluid mechanics. Key aspects to be discussed include:

    • The concept of dimensionless numbers and their applications.
    • How dimensional analysis simplifies complex fluid flow problems.
    • Examples of common dimensionless numbers in fluid mechanics.

    Students will engage in practical exercises to apply dimensional analysis to real-world scenarios.

  • Mod-01 Lec-17 Lecture-17
    Dr. V. Shankar

    In this module, students will study pipe flows and the associated friction factors. Topics include:

    • Understanding flow regimes and their impact on friction.
    • Utilizing friction factor charts for various flow scenarios.
    • Practical applications in chemical engineering contexts.

    Students will work on exercises involving calculations of pressure drops and flow rates in pipelines.

  • Mod-01 Lec-18 Lecture-18
    Dr. V. Shankar

    This module focuses on flow past immersed bodies, covering drag forces and settling phenomena. Key topics include:

    • The mechanics of drag force and its calculation.
    • Settling velocities in various fluid environments.
    • Applications in real-world scenarios and industries.

    Through this module, students will gain insights into the effects of fluid dynamics on immersed objects.

  • Mod-01 Lec-19 Lecture-19
    Dr. V. Shankar

    In this module, students will be introduced to the essential principles of fluid mechanics. Key concepts such as fluid properties, fluid statics, and the fundamental equations governing fluid flow will be discussed. Emphasis will be placed on:

    • Understanding fluid properties such as density, viscosity, and surface tension.
    • Exploring fluid statics, including pressure variations in static fluids.
    • Learning about the fundamental equations of fluid dynamics, including the continuity equation and Bernoulli's equation.

    This foundational knowledge is crucial for further studies in fluid flow applications relevant to chemical engineering.

  • Mod-01 Lec-20 Lecture-20
    Dr. V. Shankar

    This module focuses on macroscopic balances for mass, energy, and momentum, providing students with practical applications in chemical engineering. Key topics include:

    1. Integral balances in various systems, applying them to real-world problems.
    2. Engineering Bernoulli's equation and its applications.
    3. The significance of energy conservation in fluid flow analysis.

    By the end of this module, students will have a robust understanding of how to apply these concepts to analyze fluid systems effectively.

  • Mod-01 Lec-21 Lecture-21
    Dr. V. Shankar

    In this module, students will delve into microscopic balances using differential equations to analyze fluid behavior. Key areas of focus will include:

    • A detailed study of the Navier-Stokes equations and their applications.
    • Understanding the principles of dimensional analysis.
    • Exploring inviscid and potential flows, and their relevance in various scenarios.

    This module aims to equip students with the tools needed to analyze complex fluid flow situations quantitatively.

  • Mod-01 Lec-22 Lecture-22
    Dr. V. Shankar

    This module provides an in-depth look at pipe flows, including the analysis of fittings and friction factors. Students will cover:

    1. The significance of Reynolds number in determining flow regime.
    2. Calculating pressure drops in pipe systems using friction factor charts.
    3. Understanding the impact of fittings and valves on fluid flow.

    Practical examples will be used to demonstrate these concepts in the context of real engineering applications.

  • Mod-01 Lec-24 Lecture-24
    Dr. V. Shankar

    This module covers fluid transportation methods, focusing on pumps, compressors, and valves. Key topics include:

    1. The design and operation principles of various types of pumps.
    2. Understanding the role of compressors in fluid systems.
    3. Analyzing valve functions and their impact on flow control.

    Students will gain insights into the selection and application of these components in chemical engineering processes.

  • Mod-01 Lec-25 Lecture-25
    Dr. V. Shankar

    This module covers the fundamental concepts of fluid mechanics that are essential for understanding fluid flow in chemical engineering. It introduces key principles such as fluid properties, flow classification, and the behavior of fluids at rest and in motion. Students will learn about:

    • The definitions and properties of fluids, including density, viscosity, and surface tension.
    • The distinction between laminar and turbulent flow.
    • The significance of fluid statics, including pressure variations and buoyancy.

    Through practical examples and problem-solving, students will gain a solid foundation in fluid mechanics, setting the stage for more complex topics in subsequent modules.

  • Mod-01 Lec-26 Lecture-26
    Dr. V. Shankar

    In this module, students will explore macroscopic (integral) balances for mass, energy, and momentum. The engineering Bernoulli equation will be introduced, providing a framework for understanding flow behavior in various applications. Key topics include:

    1. The principles of conservation of mass, energy, and momentum in fluid systems.
    2. Applications of the Bernoulli equation in real-life scenarios, such as flow through pipes and nozzles.
    3. Examples illustrating how these concepts apply to chemical engineering processes.

    Students will also engage in problem-solving sessions to reinforce their understanding of these vital principles.

  • Mod-01 Lec-27 Lecture-27
    Dr. V. Shankar

    This module presents the microscopic (differential) balances in fluid mechanics, focusing on the Navier-Stokes equations. Students will gain insights into:

    • The derivation and application of the Navier-Stokes equations for various fluid flow scenarios.
    • Dimensional analysis and its importance in fluid mechanics.
    • Inviscid and potential flow theory, providing a contrast to viscous flows.

    Emphasis will be placed on applying these mathematical tools to solve real-world problems faced by chemical engineers.

  • Mod-01 Lec-28 Lecture-28
    Dr. V. Shankar

    In this module, students will delve into critical fluid flow scenarios such as pipe flows and flow past solid bodies. Key topics include:

    1. Understanding the characteristics of laminar and turbulent flow in pipelines.
    2. Learning to use friction factor charts for calculating pressure drops.
    3. Analyzing flow behavior around immersed bodies and calculating drag forces.

    Through practical applications and examples, students will develop the skills needed to analyze and design fluid transport systems in chemical engineering.

  • Mod-01 Lec-29 Lecture-29
    Dr. V. Shankar

    This module introduces students to various methods of flow measurement and fluid transportation. Key areas of focus include:

    • Techniques for measuring flow rate, pressure, and other critical fluid parameters.
    • Types of pumps and compressors used in chemical processes.
    • The operational principles of valves and their role in controlling fluid flow.

    Students will also learn the importance of these measurements in ensuring the efficiency and safety of chemical engineering operations.

  • Mod-01 Lec-30 Lecture-30
    Dr. V. Shankar

    In this final module, students will explore advanced topics relevant to chemical engineers, including:

    1. Boundary layer theory and its implications in flow behavior.
    2. The characteristics and applications of non-Newtonian and viscoelastic fluids.
    3. Understanding turbulent flows and their significance in industrial applications.

    Students will engage in problem-solving and case studies to apply these concepts in practical scenarios encountered in chemical engineering.

  • Mod-01 Lec-31 Lecture-31
    Dr. V. Shankar

    In this module, students will explore the fundamentals of fluid statics, which includes understanding how fluids behave at rest. Key concepts such as pressure variation in a static fluid, hydrostatic pressure, and buoyancy will be covered. The module will also delve into the applications of these principles in real-world scenarios, including:

    • Understanding pressure measurement devices
    • Calculating forces on submerged surfaces
    • Analyzing buoyant forces and stability of floating bodies

    By the end of this module, students will have a solid grasp of fluid statics and its significance in fluid mechanics.

  • Mod-01 Lec-32 Lecture-32
    Dr. V. Shankar

    This module focuses on macroscopic (integral) balances, which are essential for analyzing the mass, energy, and momentum in fluid systems. Students will learn:

    1. The principles of conservation laws applied to fluid flow
    2. How to set up and solve integral balance equations
    3. Applications of the engineering Bernoulli equation in various scenarios

    Through worked examples, students will develop the ability to apply these concepts to practical engineering problems, enhancing their analytical skills in fluid mechanics.

  • Mod-01 Lec-33 Lecture-33
    Dr. V. Shankar

    This module introduces students to microscopic (differential) balances, emphasizing the Navier-Stokes equations that describe fluid motion. The key topics include:

    • Understanding the derivation and significance of the Navier-Stokes equations
    • Application of differential balances to simple fluid flow problems
    • Dimensional analysis and its importance in fluid mechanics

    Students will engage in problem-solving activities to reinforce their understanding of how these equations govern fluid behavior and their relevance in engineering contexts.

  • Mod-01 Lec-34 Lecture-34
    Dr. V. Shankar

    This module provides a comprehensive understanding of pipe flows, fittings, and the use of friction factor charts. Students will learn:

    1. The principles of fluid flow in pipes, including laminar and turbulent flow characteristics
    2. How to calculate head losses due to friction and fittings
    3. The application of Darcy-Weisbach and Hazen-Williams formulas

    Real-world examples will illustrate how to apply these concepts in the design and analysis of piping systems within chemical engineering.

  • Mod-01 Lec-35 Lecture-35
    Dr. V. Shankar

    This module focuses on the behavior of fluids flowing past immersed bodies, including the concepts of drag forces and settling. Key learning points include:

    • Understanding drag force and its calculation for various shapes
    • Factors affecting settling velocity in different fluid mediums
    • Practical applications of flow past objects in chemical engineering

    Students will engage in hands-on problem-solving to apply these concepts to real-world situations, enhancing their understanding of fluid dynamics.

  • Mod-01 Lec-36 Lecture-36
    Dr. V. Shankar

    This module covers fluid transportation techniques, focusing on pumps, compressors, and valves. Essential topics include:

    1. The principles of pump operation and selection
    2. Understanding compressor types and their applications
    3. The role of valves in controlling fluid flow

    Students will learn to analyze and design fluid transportation systems, preparing them for real-world chemical engineering challenges.

  • Mod-01 Lec-37 Lecture-37
    Dr. V. Shankar

    This module focuses on the fundamental concepts of fluid mechanics, laying the groundwork for understanding fluid flow behavior. Key topics discussed include:

    • Introduction to fluid mechanics principles.
    • Fundamental laws governing fluid behavior.
    • Real-world applications in engineering contexts.

    By the end of this module, students will have a solid foundation to tackle more complex fluid mechanics concepts and applications encountered in chemical engineering.

  • Mod-01 Lec-38 Lecture-38
    Dr. V. Shankar

    This module delves into macroscopic and microscopic approaches for analyzing fluid flow phenomena. Students will explore:

    1. Macroscopic (integral) balances for mass, energy, and momentum.
    2. Applications of the Engineering Bernoulli equation.
    3. Microscopic (differential) balances, particularly the Navier-Stokes equations.

    Emphasis will be placed on understanding how these concepts apply to various chemical engineering scenarios.

  • Mod-01 Lec-39 Lecture-39
    Dr. V. Shankar

    This module focuses on specific fluid flow applications relevant to chemical engineering. Key topics include:

    • Pipe flows, fittings, and friction factor charts.
    • Flow past immersed bodies and drag forces.
    • Flow through packed and fluidized beds.
    • Fluid transportation techniques involving pumps, compressors, and valves.
    • Flow measurement techniques.
    • Agitation and mixing strategies.

    Students will engage in problem-solving exercises to apply these concepts effectively.

  • Mod-01 Lec-40 Lecture-40
    Dr. V. Shankar

    This module covers specialized topics essential for understanding complex fluid behaviors. Areas of focus include:

    1. Boundary layer theory and its significance in fluid dynamics.
    2. Non-Newtonian and viscoelastic fluids, including their properties and applications.
    3. Turbulent flow phenomena and their implications for chemical engineering processes.

    Students will analyze real-world applications and engage in problem-solving to reinforce their understanding of these advanced topics.