week # 2 mr chapter 2 tutorial #2 mr # 2.1, 2.4, 2.8. to be discussed on jan. 28, 2015. by either...

29

Week # 2 MR Chapter 2 • Tutorial #2 • MR # 2.1, 2.4, 2.8. • To be discussed on Jan. 28, 2015. • By either volunteer or class list. MARTIN RHODES (2008) Introduction to Particle Technology , 2nd Edition. Publisher John Wiley & Son, Chichester, West Sussex, England.

Upload: adan-hadland

Post on 15-Jan-2016

214 views

Category:

Documents

0 download

Report

Download

Embed Size (px):

TRANSCRIPT

Page 1: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Week # 2MR Chapter 2

• Tutorial #2• MR # 2.1, 2.4, 2.8.

• To be discussed on Jan. 28, 2015.

• By either volunteer or class list.

MARTIN RHODES (2008) Introduction to Particle Technology , 2nd Edition. Publisher John Wiley & Son, Chichester, West Sussex, England.

Page 2: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Motion of solid particles in a fluid

For a sphere

Stoke’s law

Page 3: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Standard drag curve for motion of a sphere in a fluid

Page 4: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Reynolds number ranges for single particle drag coefficient correlations

At higher relative velocity, the inertia of fluid begins to dominate.

Four regions are identified: Stoke’s law, intermediate, newton’s law, boundary layer

separation.

Table 2.1 (Schiller and Naumann (1933) : Accuracy around 7%.

Page 5: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Single Particle Terminal Velocity

Page 6: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Special Cases

• Newton’s law region:1

2( )1.74 p f

Tf

x gU

Intermediate region:

0.71.1 0.29 0.43, , ,T p f fU x

Page 7: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

To calculate UT and x

• (a) To calculate UT, for a given size x,

• (b) To calculate size x, for a given UT,

32

2

( )4Re

3f p f

D

x gC

Independent of UT

3 2

( )4

Re 3P fD

P T f

gC

U

Independent of size x

Page 8: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Particles falling under gravity through a fluid

Method for estimating terminal velocity for a given size of particle and vice versa

Page 9: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Non-spherical particles

Drag coefficient CD versus Reynolds number ReP for particles of sphericity ranging from 0.125 to 1.0

Page 10: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Effect of boundaries on terminal velocity

Sand particles falling from rest in air (particle density, 2600 kg/m3)

When a particle is falling through a fluid in the presence of a solid boundary the terminalVelocity reached by the particle is less than that for an infinite fluid.

Following Francis (1933), wall factor ( )/w Df U U

Page 11: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 12: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Limiting particle size for Stoke’s law in water

Page 13: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Limiting particle size for Stoke’s law in air

Page 14: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

850

Page 15: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 16: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 17: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 18: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 19: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 20: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 21: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 22: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 23: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 24: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 25: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

• Where the plotted line intersects the standard drag curve for a sphere ( = 1), Rep = 130.

• The diameter can be calculated from:

Re 130 f v TP

x U

Hence sphere diameter, xv = 619 m.

• For a cube having the same terminal velocity under the same conditions, the same CD vesus Rep relationship applies, only the standard drag curve is that for a cube( = 0.806)

Page 26: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 27: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 28: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Page 29: Week # 2 MR Chapter 2 Tutorial #2 MR # 2.1, 2.4, 2.8. To be discussed on Jan. 28, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

Redesign rhodes

1 Nephrology Department, General Hospital of Rhodes, Rhodes, Greece, 2 1 st Department of Internal Medicine, General Hospital of Rhodes, Rhodes, Greece

BUDDY RHODES COLORS - RCS Contractor Suppliesrcs-supplies.net/wp-content/uploads/2014/02/buddy-rhodes...Convenient pre-measured jars are each formulated for 2 bags of the Buddy Rhodes

November 2020: Issue 2 - Rhodes Avenue Primary School

Josh “J-Man” Clark Brad “Fender” Rhodes Nick “Texas Pete” Rutledge Haochen “Mr. T” Zhang Powerhouse

S WWW Rhodes Building Systems, Inc. C RBSTX T S COM ERVING … · 2 days ago · Rhodes Building Systems, Inc. Rhodes Building Systems, Inc / DQC BAST 05 / Buildings-Metal Serving

Rhodes College Strategic Plan APPROVED College Strategic Plan APPROVED.pdfA Strategic Plan for Rhodes College 2020-2030 The Rhodes Vision Rhodes College aspires to graduate students

The Rhodes Scholarships Australia - QUT...Rhodes Scholar, Lauren Dancer Most recently, the 2018 Queensland Rhodes Scholar, Dr Beth Hamilton. Dr Beth Hamilton, 2018 Queensland Rhodes

Commercial Law 202 Paper 2 - Rhodes University

By: Victoria Rhodes Mods: 1-2 8 November 2006

Quarterly Report 2016 - nimir.com.pk · PDF fileMr. Mohsin Tariq Mr ... Mr. Aamir Jamil Company Secretary ... Ernst & Young Ford Rhodes Sidat Hyder Chartered Accountants Legal Advisor

Abdullah Al-Hendi Qatar Academy Mr. Rhodes 8B Water’s Journey Through Plants

Welcome Mr. Michael L. Rhodes Acting Director of Administration & Management Ms. Ariane Whittemore Program Executive Officer Executive Lifecycle Management

RHODES TP FEB 2014 Digital - Rhodes Food Group | Food

Rhodes Framework

Rhodes Greece Lindos & Port of Rhodes - Manneli

Week # 10 MR Chapter 8 Tutorial #10 MR #8.1, 8.2. To be discussed on March 25, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction

EDWARD B. RHODES/PARKLAND POST # 2 11204 PARK AVENUE …w2usa.org/post2/octdec09.pdf · RHODES RAIDER EDWARD B. RHODES/PARKLAND POST # 2 11204 PARK AVENUE SOUTH P.O. BOX 44364 TACOMA,

Week # 12 MR Chapters 11 & 12courses.nus.edu.sg/course/chewch/CN3124E/lectures/Week12.pdfWeek # 12 MR Chapters 11 & 12 • Tutorial #12 • MR #11.2, 12.1. MARTIN RHODES (2008) Introduction

Week # 2 MR Chapter 2• Tutorial #2 • MR # 2.1, 2.4, 2.8. • To be discussed on Jan. 27, 2021. • By either volunteer or class list. MARTIN RHODES (2008) ... England. Motion of

The Rhodes Historical Review - Rhodes College | Become … · 2015-11-05 · the Department of History at Rhodes College publish The Rhodes Historical Review annually. ... The conquest

Medieval art & intellectual culture. world history i. mr. rhodes. april.2008

Greeka guide to Rhodes - Icicte · 2010. 10. 19. · Rhodes p 2/14. Map of Rhodes Organize your trip to Rhodes. Greeka.com can also help you organize your entire holiday in Rhodes

FACULTY OF EDUCATION · Diploma (Academy of Learning), BA & B Ed Hons (UWC), BA Hons (Rhodes), M Ed (UWC) Mr P Shaw, NTD (ELTC), FDE & B Ed Hons (Rhodes), MEd (Rhodes) Ms NP Bambiso,

Gratitude...Dr. and Mrs. V. James Rhodes Mr. and Mrs. William L. Riggins Dr. Joseph and Judy E. Roetheli Lewis and Martha Rone Mr. Jim Russell and the Honorable Mary Rhodes Russell

Operation Egg Drop Rhodes Science 8 Rhodes Science 8

Relationship Between a Metals Reactivity and When It Was Discovered By: Dana Asaad Class: 8B Teacher: Mr. Rhodes