MET317E · Lisans

Taşınım Olaylarının Temelleri

İ.T.Ü. Metalurji ve Malzeme Mühendisliği Bölümü'nde lisans müfredatının bir parçası olarak verilmiştir.

Ders Tanımı

Giriş ve temel kavramlar, Boyutlar ve ölçü birimleri, Çeşitli uygulamalarıyla birlikte taşınım olaylarına genel bakış, Akışkan akışı türleri ve Reynolds sayısı, Viskozite ve kinematik viskozite kavramı ile akışkanların viskozite hesapları, Newton yasası, Newtonyen ve Newtonyen olmayan akışkanlar, Akışın diferansiyel denklemlerinin uygulamaları, Laminer Akış ve Momentum Denkliği, Süreklilik denklemi ve momentum denklemi, Navier-Stokes denkleminin uygulanması, Türbülanslı ve karmaşık akışlar, Isı transferi mekanizmaları, Fourier’in ısı iletimi yasası, Malzemelerin ısıl iletkenliği, Katılarda ısı iletimi, Akıların tanımı-Fick yasaları, Farklı ortamlarda difüzyon (katılar, seramik malzemeler, sıvılar vb.)

Amaçlar

Bu mühendislik dersinin amacı, öğrenciye taşınım süreçlerinin analizinde kullanılan temel olayları, bunları yöneten denklemleri ve varsayımları anlayabilmesi için yeterli bir altyapı kazandırmaktır. Üç temel taşınım sürecinin, yani momentum, ısı ve kütle taşınımının çeşitli yönleri ele alınmaktadır. Dersi tamamlayan öğrenciler, laboratuvar uygulamaları, pilot tesisler veya endüstriyel işletme uygulamaları alanlarındaki pek çok teorik ve pratik problemde başarılı olabilmek için önem taşıyan taşınım olayları konusunda bir altyapı geliştirebileceklerdir.

Kaynaklar

Transport Phenomena in Materials Processing, D.R. Poirier, G.H. Geiger, The Minerals, Metals & Materials Society, 2016.
Fundamentals of Fluid Mechanics, B.R. Munson, T.H. Okiishi, W.W. Huebsch, A.P. Rothmayer, 7th Ed., Wiley & Sons, 2012.
Transport and Chemical Rate Phenomena, Themelis N.J., Gordon & Breach, 1995.
Transport Phenomena, Bird R.B., Stewart W.E., and Lightfoot E.N., Wiley, 1960.
Rate Phenomena in Process Metallurgy, Szekely J. and Themelis N.J., Wiley-Interscience, 1971.
Transport Phenomena in Metallurgy, Geiger G.H. and Poirier D.R., Addison-Wesley, 1973.
Transport Processes: Momentum, Heat, and Mass, Geankoplis C.J., Allyn & Bacon, Inc., 1983.

Önerilen okumalar

Uluslararası Birimler Sistemi (SI)
Laminer/türbülanslı akışlar, Reynolds sayısı, sürtünme

Videolar

Profesör John Biddle’ın tüm ders serisi (Cal Poly Pomona’da)

Lecture 1 - Fundamental Concepts, Fluid Properties

SI units (at 10:15)
Viscosity (at 15:20)
Newtonian Fluids (at 23:00)
Pressure (at 30:00)
Solution of Problem 1.77 (at 42:40) (p.35 in the book)
Hints on “how to solve a problem” – an Engineer’s approach (at 50:00)

Lecture 2 - Pascal’s Law, Hydrostatic Pressure Variations, Manometry

Unit conversions (at 32:00)
Pressure Measurement by Piezometry (at 36:20)
Example on Pressure Measurement by Manometry (at 48:50)

Lecture 3 - Forces on Submerged Surfaces (Part I)

Grading Homework ! (at 58:15) –and exam papers for that matter
Solution of Problem 1.48 (at 1:05:15) (p.33 in the book)

Lecture 4 - Forces on Submerged Surfaces (Part II)

Lecture 5 - Buoyancy & the Bernoulli Equation

Buoyancy Example (at 8:45) -Log floating on water
Bernoulli Equation (at 14:35) -graphical explanation
Bernoulli Equation (at 37:00) -explaining the terms
Solution of Problem 3.37 (at 53:30) (p.144 in the book)

Lecture 6 - Bernoulli Equation Examples

Solution of Problem 3.24 (at 2:00) (p.143 in the book)
Solution of Problem 3.61 (at 23:50) (p.147 in the book)
Solution of Problem 3.81 (at 53:15) (p.149 in the book)

Lecture 7 - Fluid Statics Examples

Lecture 8 - Fluid Kinematics

Lecture 9 - Reynolds Transport Theorem, Conservation of Mass, Kinematics

Definition of CV (Control volume) and CS (Control Surface)
Solution of Problem 4.70 (at 33:30) (p.197 in the book)
Conservation of mass (at 46:45)

Lecture 10 - Continuity Equation, Bernoulli Equation, & Kinematics Examples

Solution of Problem 3.6 (at 9:10) (p.142 in the book)
Solution of Problem 3.12 (at 16:25) (p.142 in the book)
Solution of Problem 3.46 (at 25:15) (p.145 in the book)
Problem 3.36 (at 43:45) (p.144 in the book) -just a sketch
Continuity Equation (at 50:25)
Example (at 58:20)
Example (at 1:06:30)

Lecture 11 - Linear Momentum Equation and Bernoulli Equation Examples

Example (at 7:35) – Continuity
Solution of Problem 3.50 (at 40:40)

Lecture 12 - Linear Momentum Equation Examples

Lecture 13 - Energy Equation and Kinematics Examples

Solution of Problem 5.103 (at 43:10)

Lecture 14 - Energy Equation Examples, Differential Continuity Equation

Solution of Problem 5.112 (at 4:10)
Solution of Problem 5.123 (at 13:40)
Energy Equation (at 25:05)

Lecture 15 - Navier-Stokes Equations, Conservation of Energy Examples

General differential equations of motion (at 7:40)
Equler’s equation of motion (at 11:00)
Navier-Stokes Eequation (at 19:30)
Solution of Problem 5.102 (at 33:00)
Solution of Problem 5.105 (at 38:35)
Solution of Problem 5.114 (at 47:15)
Solution of Problem 5.116 (at 52:00)
Solution of Problem 5.120 (at 55:45)
Solution of Problem 5.131 (at 1:00:10)

Lecture 16 - Viscous Flow in Pipes, Laminar Pipe Flow Characteristics

Viscous flow in pipes (Reynolds number)
Non-circuclar ducts (at 9:00)
Laminar flow (at 12:00)
Entrance region (at 17:50)
Fluid element in pipe (at 40:15)

Lecture 17 - Laminar & Turbulent Pipe Flow, The Moody Diagram

Friction factor (at 5:40)
Energy equation (at 8:45)
Turbulent flow – Moody diagram (at 23:15)
Regions of Moody diagram (at 33:15)

Lecture 18 - Minor Losses in Pipe Flow

Examples (at 2:45)
Minor Losses – Energy Equation (at 28:00)
Solution of Problem (at 38:45)

Viskozite kavramı, Newtonyen ve Newtonyen olmayan akışkanlar

Characteristics of Laminar and Turbulent Flow

Introduction to Fluid Mechanics, Podcast #4: Fluid Shear Stress

how wings work? Smoke streamlines around an airfoil

Katı bir parçacığın sürükleme katsayısı ve terminal hızı

Physics 34 Fluid Dynamics (19 of 24) The Drag Coefficient

Physics 34 Fluid Dynamics (20 of 24) Force Due to Drag Coefficient

Physics 34 Fluid Dynamics (24 of 24) Force Due to Drag Coefficient and Terminal Velocity***

Sediment deposition and Stokes' Law

Bernoulli denklemi

Physics 34 Fluid Dynamics (1 of 7) Bernoulli's Equation

Moody diyagramının kullanımı

Using a Moody Chart

Bir pompanın gücünün hesaplanması

Turbulent Flow Example: Part 1 [Fluid Mechanics #43]

Turbulent Flow Example: Part 2 [Fluid Mechanics #44]

Turbulent Flow Example: Part 3 [Fluid Mechanics #45]

Power Requirements of a Pump - example problem

Pipe Flow Introduction

Pipe Flow: Determining Power

Pipe Flow - Calculating Head Loss Example

Bir tankın boşaltılması

Inviscid Flow: Bernoulli Equation and Draining tank example problem

Draining a Spherical Tank

Draining a Conical Tank

Isı Transferi (İletim)

Lecture - 4 Heat Conduction - 1

Lecture - 5 Heat Conduction - 2

Lecture - 6 Heat Conduction - 3

Lecture - 7 Heat Conduction - 4

Seri/Paralel Düzenli Kompozit Duvar

Composite Wall with Series/Parallel Configuration

Konveksiyonla ısı transferinin temelleri

Lecture 21 (2014). Fundamentals of convection heat transfer (1 of 3)

Lecture 22 (2014). Fundamentals of convection heat transfer (2 of 3). Boundary layers

Lecture 23 (2014). Fundamentals of convection (3 of 3). Flat plate solution

Isı Transferi (Kararsız Hâl – Biot sayısı)

Transient Heat Transfer - Biot Number