Tutorial - Steady 2D Rectilinear Flow — Lesson 4

This lesson covers the process of solving problems related to the flow of a Newtonian liquid in an inclined infinitely long tube of rectangular cross-section. It explains the concept of steady unidirectional gravity-driven flow and how to calculate the velocity as a function of Z&Y. The lesson also discusses the governing equation and how to derive the velocity distribution. It further explains how to split the problem into two sub-problems and solve them using the separation of variables method. The lesson also covers the solution of a one-dimensional problem of flow over a porous flat plate. Lastly, it concludes with the problem of a solid rectangular block partially immersed in a layer of oil.

Video Highlights

00:37 - Explanation of the first problem involving steady unidirectional gravity-driven flow of a Newtonian liquid.
08:02 - Introduction to the second problem involving steady gravity-driven flow of a Newtonian rectangular flame.
18:48 - Discussion on the third problem involving flow over an infinite flat plate subject to uniform suction.
27:38 - Explanation of the fourth problem involving a solid rectangular block partially immersed in a layer of oil.

Key Takeaways

- The lesson explains the concept of steady unidirectional gravity-driven flow of a Newtonian liquid in an inclined infinitely long tube of rectangular cross-section.
- It discusses how to calculate the velocity as a function of Z&Y and derive the governing equation.
- The lesson explains how to split the problem into two sub-problems and solve them using the separation of variables method.
- It provides a detailed explanation of how to derive the velocity distribution.
- The lesson covers the solution of a one-dimensional problem of flow over a porous flat plate.
- It concludes with the explanation of the problem of a solid rectangular block partially immersed in a layer of oil.