Lecture

Mod-01 Lec-16 Viscous flows

This module continues the discussion on viscous flows, emphasizing their relevance in complex fluid dynamics problems encountered in engineering applications.


Course Lectures
  • This module reviews key concepts from "Transport Processors I," ensuring students are equipped with foundational knowledge before diving into advanced topics.

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

    The introductory module sets the stage for the course, outlining the objectives, expectations, and significance of momentum transport in fluid mechanics.

  • In this module, students will learn about vectors and tensors, their definitions, and their applications in fluid mechanics, providing a strong mathematical foundation.

  • This module covers vector calculus, focusing on the mathematical tools essential for analyzing fluid flow and transport phenomena in various applications.

  • This module continues the exploration of vector calculus, emphasizing its application in fluid dynamics and enhancing students' analytical skills.

  • Students will learn about curvilinear coordinates, understanding how to analyze fluid flow in non-Cartesian systems, which is crucial for complex flow scenarios.

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

    The kinematics module introduces the motion of fluids, exploring velocity fields, streamline patterns, and acceleration, laying the groundwork for deeper fluid dynamics concepts.

  • This module discusses the rate of deformation tensor, its significance in analyzing fluid behavior, and its application in various flow scenarios.

  • The mass conservation equation module highlights the principles of mass continuity in fluid dynamics, essential for understanding flow behavior and system interactions.

  • This module covers the momentum conservation equation, detailing how forces impact fluid motion and the resulting changes in momentum within a system.

  • The angular momentum conservation equation module discusses the rotational dynamics of fluids, focusing on how angular momentum influences fluid motion and stability.

  • This module focuses on boundary conditions, essential for solving fluid mechanics problems and understanding how they affect flow behavior at interfaces.

  • The mechanical energy conservation module explores energy transformations within fluid systems, emphasizing the interplay between kinetic and potential energies.

  • This module discusses unidirectional flow, focusing on its characteristics, assumptions, and applications in various engineering systems.

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

    This module delves into viscous flows, discussing their properties and behaviors under varying conditions, crucial for understanding real-world fluid behavior.

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

    This module continues the discussion on viscous flows, emphasizing their relevance in complex fluid dynamics problems encountered in engineering applications.

  • The flow around a sphere module examines the dynamics of fluid motion around a spherical object, highlighting principles such as drag and lift.

  • This module focuses on the forces acting on moving spheres in a fluid, exploring concepts such as drag force and its implications for fluid mechanics.

  • This module discusses the torque on rotating spheres, examining how rotation affects fluid forces and influencing motion and stability in fluid systems.

  • The effective viscosity of a suspension module investigates how particles within a fluid affect its overall viscosity, crucial for various industrial applications.

  • This module addresses flow in a corner, focusing on the unique fluid dynamics encountered in such geometrical configurations and their implications for engineering design.

  • The lubrication flow module covers the principles of lubrication in fluid mechanics, emphasizing its significance in reducing friction and wear in mechanical systems.

  • This module continues exploring lubrication flows, discussing applications and challenges in maintaining optimal flow conditions in various engineering contexts.

  • The inertia of a low Reynolds number module investigates the behavior of fluids at low velocities, emphasizing the impact of inertia on flow characteristics and stability.

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

    This module introduces potential flow concepts, discussing how potential flow theory simplifies the analysis of fluid motion in inviscid conditions.

  • This module focuses on potential flow around a sphere, highlighting the unique flow patterns and calculations associated with this fundamental problem in fluid dynamics.

  • The two-dimensional potential flow module explores flow patterns and characteristics in two-dimensional scenarios, emphasizing their relevance in engineering applications.

  • This module continues the discussion on two-dimensional potential flow, focusing on specific case studies and their implications for real-world fluid mechanics problems.

  • This module examines the flow around a cylinder, highlighting the unique dynamics and forces at play, critical for understanding applications in engineering and design.

  • The conformal transforms in potential flow module discusses mathematical techniques for analyzing fluid motion, enhancing understanding of complex flow scenarios.

  • This module introduces boundary layer theory, discussing how fluid layers interact with surfaces and the implications for drag, lift, and flow stability.

  • The boundary layer past a flat plate module examines the characteristics of flow over flat surfaces, highlighting key factors influencing performance in engineering applications.

  • This module discusses stagnation point flow, analyzing the unique conditions and behaviors encountered when fluid approaches a stationary surface.

  • The Falkner-Skan boundary layer solutions module explores specific analytical solutions relevant to boundary layer flow, enhancing comprehension of flow behavior in various scenarios.

  • This module continues the discussion on Falkner-Skan solutions, examining additional complexities and their applications in real-world fluid dynamics problems.

  • The vorticity dynamics module investigates the behavior of vorticity in fluid flow, emphasizing its role in turbulence and flow stability.

  • This module continues the exploration of vorticity dynamics, focusing on practical implications and applications in engineering and real-world fluid systems.

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

    The turbulence module discusses turbulent flow characteristics, including its unpredictability and effects on drag and mixing in various engineering systems.

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

    This module continues the discussion on turbulence, analyzing specific case studies and their implications for modeling and predicting fluid behavior.

  • The turbulent flow in a channel module examines the complexities of channel flow and the factors influencing turbulence in confined spaces.