l25 - Lecture 25: Introduction to Fluid Flow 1 Last Time...

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Lecture 25: Introduction to Fluid Flow
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 Last Time… Examined physical rationale for limiter functions Applied to multidimensional situations and unstructured meshes This brings us to the end of the convection-diffusion part
Background image of page 2
3 This Time… Start looking at the computation of fluid flow Discuss issues with respect to sequential solution of continuity and momentum equations Discuss storage of pressure versus velocity
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4 Introduction to Fluid Flow So far, we have assumed that the fluid flow field is known We now turn to the computation of the fluid flow Navier-Stokes equations are special case of convection diffusion equation with = u, v or w, and = and appropriate S So why the fuss?
Background image of page 4
5 Steady 2D Navier-Stokes Equations Can write Navier-Stokes equations as: For Newtonian fluid, can confirm that:
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
6 Why The Fuss? NS equations are non-linear » Not by itself a problem » Can do Picard iteration More than one momentum equation (x,y,z) » Not a problem » Can solve each sequentially Source terms? » Stress tensor sources can be computed Main issue is that pressure is not known! » Must find a way to find it » What PDE to use?
Background image of page 6
7 Issues with Pressure Computation Two different problems » Where to store pressure vis-à-vis velocity » How to find an equation for pressure In 3D, we have 4 equations in 4 unknowns » 3 velocities, 1 pressure » 3 momentum equations and one continuity equations In principle, possible to solve
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
8 Vorticity-Stream Function Formulations Used during 70’s-80’s » Derive one PDE for stream function
Background image of page 8
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 26

l25 - Lecture 25: Introduction to Fluid Flow 1 Last Time...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online