Flow Through Equilateral Triangular Duct — Lesson 2

This lesson covers the concept of Poiseuille flow inside an equilateral triangular duct with a constant cross-section. It delves into the steady two-dimensional flow, where the velocity is a function of Y&Z, and X is the axial direction. The lesson further explains the governing equation and the methodology to find the velocity distribution inside the triangular duct. It also discusses the boundary conditions, the location of maximum velocity, and the calculation of volumetric flow rate and average velocity. The lesson concludes with the representation of velocity contours.

Video Highlights

00:30 - Introduction to the topic of Poiseuille flow inside an equilateral triangular duct with constant cross-section.
02:57 - Explanation of the boundary conditions and the velocity profile.
16:31 - Determination of the location of maximum velocity.
23:45 - Calculation of the volumetric flow rate through the equilateral triangular duct.
33:56 - Visualization of the velocity contours and the location of maximum velocity.

Key Takeaways

- The velocity distribution in an equilateral triangular duct is determined by considering a steady two-dimensional flow where the velocity is a function of Y&Z, and X is the axial direction.
- The governing equation is derived, and a methodology is adapted to find the velocity distribution inside the duct.
- The velocity profile is assumed to satisfy the boundary condition, meaning the velocity should become zero at the boundary.
- The location of maximum velocity is determined by setting del U by del Y and del U by del Z to zero.
- The volumetric flow rate and average velocity are calculated using the derived equations.