Lecture

Mod-01 Lec-37 Vorticity Dynamics

Continuing with vorticity dynamics, this module explores complex vorticity interactions in fluid flows and their applications in engineering and real-world problems.


Course Lectures
  • This module reviews the key concepts from Fundamentals of Transport Processors I, ensuring a solid foundation for the upcoming topics. It serves as a refresher for students.

  • Mod-01 Lec-02 Introduction
    Prof. V. Kumaran

    This module serves as an introduction to the course, outlining the importance of transport processes in engineering and science. It contextualizes the upcoming topics.

  • This module explores the mathematical foundations of vectors and tensors, essential tools in fluid mechanics. Understanding these concepts is crucial for analyzing transport processes.

  • This module delves into vector calculus, providing the mathematical techniques required to solve complex fluid mechanics problems. Key operations such as divergence, curl, and gradient are emphasized.

  • Continuing with vector calculus, this module further emphasizes the importance of these mathematical tools in real-world fluid mechanics applications, enhancing problem-solving skills.

  • This module introduces curvilinear coordinates, essential for analyzing flows in non-linear systems. Students learn to apply these coordinates in practical fluid mechanics problems.

  • Mod-01 Lec-07 Kinematics
    Prof. V. Kumaran

    This module provides an overview of kinematics, focusing on the motion of particles and fluid elements. It sets the groundwork for understanding fluid behaviors.

  • Exploring the rate of deformation tensor, this module discusses how deformation affects fluid flow. It is pivotal for understanding viscous behaviors in fluids.

  • This module covers the mass conservation equation, a fundamental principle in fluid mechanics. Students learn to apply this equation to various fluid scenarios.

  • This module introduces the momentum conservation equation, essential for understanding forces acting in fluid flows. Practical applications are discussed to ensure comprehension.

  • This module focuses on the angular momentum conservation equation, highlighting its relevance in fluid mechanics. Students apply this principle to various fluid problems.

  • In this module, students learn about boundary conditions and their critical role in solving fluid dynamics problems. Practical examples illustrate the application of these concepts.

  • This module discusses mechanical energy conservation in fluid systems, emphasizing its significance in analyzing energy transfers. Applications in various engineering scenarios are also examined.

  • This module introduces unidirectional flow, presenting the simplifications that arise in fluid analysis. Students learn to apply these concepts to various flow scenarios.

  • Mod-01 Lec-15 Viscous flows
    Prof. V. Kumaran

    This module delves into viscous flows, discussing their significance in fluid mechanics. Key concepts and equations governing viscous behavior are explored.

  • Mod-01 Lec-16 Viscous flows
    Prof. V. Kumaran

    Continuing the exploration of viscous flows, this module emphasizes complex scenarios and their implications in real-world applications, enhancing problem-solving skills.

  • This module discusses flow around a sphere, analyzing the forces and flows involved. Practical applications in engineering contexts are highlighted for better understanding.

  • This module explores the forces acting on a moving sphere in a fluid, including drag and lift. Students learn to calculate these forces in practical scenarios.

  • This module analyzes the torque experienced by a rotating sphere in a fluid. Students explore its implications for design and engineering applications.

  • This module covers effective viscosity in suspensions, discussing how particles influence fluid behavior. Applications in various engineering contexts are examined for practical understanding.

  • This module examines flow in corners, detailing the complexities introduced by geometry. Students learn to analyze flow patterns and their implications in engineering designs.

  • In this module, lubrication flow is introduced, emphasizing its significance in reducing friction in mechanical systems. Theoretical and practical applications are discussed to illustrate concepts.

  • This module continues the study of lubrication flow, focusing on complex scenarios and their implications in real-world applications, enhancing understanding and practical skills.

  • This module discusses inertia in low Reynolds number flows, emphasizing the distinct behavior of fluids in these conditions. Applications in microfluidics and related fields are highlighted.

  • Mod-01 Lec-25 Potential flow
    Prof. V. Kumaran

    This module introduces potential flow, covering the theoretical foundations and applications. Students learn to analyze potential flow patterns and their significance in fluid mechanics.

  • In this module, potential flow around a sphere is analyzed, exploring the implications for engineering applications and understanding fluid behavior in spherical geometries.

  • This module covers two-dimensional potential flow, focusing on its mathematical description and implications in various engineering contexts. Real-world applications are discussed for better understanding.

  • Continuing with two-dimensional potential flow, this module emphasizes complex flow patterns and their applications in engineering, enhancing problem-solving capabilities through practical examples.

  • This module explores flow around a cylinder, analyzing drag and lift forces involved. Students learn to calculate relevant parameters crucial for engineering applications.

  • This module introduces conformal transformations in potential flow, discussing their mathematical properties and applications in simplifying complex flow problems.

  • This module focuses on boundary layer theory, explaining how fluid behavior changes near surfaces. Students learn to analyze boundary layers and their significance in engineering applications.

  • This module examines boundary layer flow past a flat plate, discussing theoretical aspects and practical implications for engineering design and analysis.

  • This module discusses stagnation point flow, analyzing the unique characteristics of flow at the stagnation point and its implications for engineering designs.

  • This module covers Falkner-Skan boundary layer solutions, exploring specialized cases in boundary layer theory. Students learn to apply these solutions in practical engineering contexts.

  • This module continues the exploration of Falkner-Skan solutions, emphasizing their applications in various practical scenarios and enhancing analytical skills in fluid dynamics.

  • This module discusses vorticity dynamics, emphasizing the role of vorticity in fluid motion. Students learn to analyze vorticity fields and their implications in fluid mechanics.

  • Continuing with vorticity dynamics, this module explores complex vorticity interactions in fluid flows and their applications in engineering and real-world problems.

  • Mod-01 Lec-38 Turbulence
    Prof. V. Kumaran

    This module introduces turbulence, covering its characteristics and significance in fluid dynamics. Students learn to analyze turbulent flows and their impact on engineering systems.

  • Mod-01 Lec-39 Turbulence
    Prof. V. Kumaran

    Continuing the discussion on turbulence, this module emphasizes advanced turbulent flow theories and their implications in engineering design and analysis.

  • This final module discusses turbulent flow in a channel, analyzing factors affecting flow behavior and their relevance to engineering applications and systems.