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Physics of turbulence. muna Al_khaswneh Dr.Ahmad Al-salaymeh. Introduction. Turbulence cannot exist by itself, however; it requires a continuous supply of energy& changes in velocity& direction. Objective. The Definition of turbulence Examples of turbulence Boundary layer

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slide1

Physics of turbulence

muna Al_khaswneh

Dr.Ahmad Al-salaymeh

introduction

Introduction

Turbulence cannot exist by itself, however; it requires a continuous supply of energy& changes in velocity& direction .

objective
Objective
  • The Definition of turbulence
  • Examples of turbulence
  • Boundary layer
  • Study Reynolds numbers
  • Study the differential continuity equation
  • Study Navier-Stocks equation
  • Kolmogorov theory
  • Laminar-turbulent transition

Problems of turbulence

definition properties
Definition & properties

It is a flow with disordered in time & space .

1-three-dimensionality.

2-Unsteadiness.

3-strong vorticity.

4-Unpredictability.

5-Broad spectrum.

reynolds number
Reynolds number

1. inertia forces 2. viscous forces

1. ρ u2 ,ρ: fluid density ,u : fluid speed

2. μ u , μ: viscous fluid , d : diameter fluid d

so that reynolds number depend on fluid properties as speed pipe diameter viscosity density
So that Reynolds number depend on fluid properties as ; speed , pipe diameter ,viscosity & density .
laminar turbulent transition
Laminar-turbulent transition

.

  • Linear stability theory .
  • Primary instability of free shear flow .
  • Later stage of transition in free shear flows .
continuity equation
Continuity equation

The conservation of mass principle is applied to the control volume

continuity equation1
Continuity equation

For three dimension (our interest )

z

Δz

y

Δy

Δx

x

= uxî + uyў +uzќ

navier stokes equation
Navier-stokes equation

the momentum translate with tow ways & tow forces

ways

  • Convection transition
  • Molecular transition

forces

1.Gravity force

2.Pressure force

forces
Forces

1.Gravity force

Pressure force

kolmogorov theory
Kolmogorov theory
  • The physics of turbulence is the same in all turbulent system .
  • It is independent of large scale forcing & small scale dissipative
  • Fluctuation occur in an incompressible medium-density

4.Energy flows from large scales to small scales .

slide27

laminar

flow

(average

speed)

turbulent

pressure (drop)

later stage of transition in free shear flows
Later stage of transition in free shear flows .

Some vorticity remains between the vortices , we will call it {secondary instability} .