This learning track covers a comprehensive understanding of fluid dynamics, starting with the advanced aspects of viscous fluid flow. It delves into the Navier Stokes equations, exact solutions for steady one-dimensional rectilinear flows, steady axis symmetric flows, and more. The track further explores the analytical solution of Navier Stokes equations for simplified problems and simple geometry. It also provides a detailed understanding of fluid dynamics in cylindrical coordinates, Stokes problems, and fluid dynamics in various duct shapes. The learning track then transitions to the comprehensive understanding of lubrication theory and its applications in various mechanical systems. It also covers the comprehensive understanding of boundary layer flows, a crucial aspect of fluid dynamics. The track also explains the stability theory and analysis in fluid dynamics used to understand the transition from laminar to turbulent flow and the significance of the Reynolds number. Lastly, the track concludes with a comprehensive understanding of turbulent flows, their applications in engineering and nature, and the mathematical equations used to predict their behavior.
Viscous Fluid Flow
Innovation Course
Fundamentals of Viscous Fluid Flow
This course covers the fundamental aspects of viscous fluid flow, a topic in fluid mechanics. It delves into the Navier Stokes equations, exact solutions for steady one-dimensional rectilinear flows, steady axis symmetric flows, and more. For instance, students ...Read more
Innovation Course
Steady 1D Rectilinear Flow
This course covers the analytical solution of Navier Stokes equations for simplified problems and simple geometry. It delves into the continuity equation for Cartesian coordinate, the momentum equation for laminar incompressible flow with constant fluid properties and t...Read more
Innovation Course
Steady Axisymmetric Flow
This course covers the comprehensive exploration of fluid dynamics in cylindrical coordinates. It begins with an in-depth study of Navier Stokes equations, focusing on finding exact solutions in pipe flow. For instance, it solves two different problems: Hagen Poiseuille f...Read more
Innovation Course
Transient 1D Rectilinear Flow
This course covers the fundamental concepts of Stokes problems and fluid dynamics. It begins with an exploration of Stokes' first problem, where learners understand the effects of a moving plate in a stationary fluid medium. For instance, the course illustrates how a...Read more
Innovation Course
Steady 2D Rectilinear Flow
This course covers the comprehensive understanding of fluid dynamics in various duct shapes. For instance, the course delves into the steady pressure driven flow of incompressible Newtonian liquid through a rectangular duct, explaining the use of separation of variables...Read more
Innovation Course
Lubrication Theory and Applications
This course covers the comprehensive understanding of lubrication theory and its applications in various mechanical systems. It begins with the analysis of fluid flow in thin layers, such as in a bearing of a shaft, and the concept of creeping flow. The course ...Read more
Innovation Course
Laminar Boundary Layers - I
This course covers the comprehensive understanding of boundary layer flows, a crucial aspect of fluid dynamics. It starts with the basic definition of a boundary layer, its characteristics, and the conditions under which it forms. The course further explains the Navier S...Read more
Innovation Course
Laminar Boundary Layers - II
This course covers the comprehensive understanding of fluid dynamics, focusing on the concept of boundary layers. It starts with the derivation of the momentum integral equation and its solution using the Karmann Pohlhausen method. For instance, it explains how to calcu...Read more
Innovation Course
Laminar Free Shear Flows
This course covers the comprehensive understanding of laminar free shear flows. It begins with the exploration of two-dimensional laminar jets, explaining the governing equations and assumptions made for large Reynolds number flows. For instance, learners will understand ...Read more
Innovation Course
Linear Stability Analysis in Fluid Dynamics
This course covers the comprehensive understanding of stability theory and analysis in fluid dynamics. It begins with the exploration of the transition from laminar to turbulent flows, emphasizing the critical significance of the Reynolds number's. The ...Read more
Innovation Course
Turbulent Flows - I
This course covers the comprehensive understanding of turbulent flows, their applications in engineering and nature, and the mathematical equations used to predict their behavior. For instance, learners will explore how turbulent flows are utilized in jet flows, mixing flows, an...Read more
Innovation Course
Turbulent Flows - II
This course covers the comprehensive understanding of turbulent flows and their models. It begins with the exploration of turbulent boundary layer flows, where learners get to understand the integral solution for these flows using the momentum integral equation. For instance, t...Read more
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