Transport phenomena Ch.8 Polymeric liquid

Slides:

Advertisements

Similar presentations

An overview Food Rheology An overview

Advertisements

Lecture 1. How to model: physical grounds

Viscoelastic properties

EBB 220/3 MODEL FOR VISCO-ELASTICITY

Constitutive Equations CASA Seminar Wednesday 19 April 2006 Godwin Kakuba.

Quiz 6 – Quiz 7 –

Introduction to Viscoelasticity

Constitutive Relations in Solids Elasticity

Complex Fluids with Applications to Biology 2011/2012 VIGRE RFG

Introduction. Outline Fluid Mechanics in Chemical and Petroleum Engineering Normal Stresses (Tensile and Compressive) Shear stress General Concepts of.

Chris Macosko Department of Chemical Engineering and Materials Science NSF- MRSEC (National Science Foundation sponsored Materials Research Science and.

Forces, Energies, and Timescale in Condensed Matter 2004/10/04 C. T. Shih Special Topics on Soft Condensed Matters.

A Generalized Frame work Viscous Fluid Flow… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Construction of Navier-Stokes Equations.

Stress, Strain, and Viscosity San Andreas Fault Palmdale.

MECHANICAL PROPERTIES OF MATERIALS.  Engineers are primarily concerned with the development and design of machines, structures etc.  These products.

Viscous Fluids. Viscosity is how engineers measure the resistance of fluids when being deformed: τ = μ (du/dy) The less viscous the fluid, the greater.

Paul Drosinis UBC Phys 420. Introduction Short history on fluid dynamics Why bother studying fluid flow? Difference between Newtonian and Non-Newtonian.

CEE 262A H YDRODYNAMICS Lecture 1* Introduction and properties of fluids *Adapted from notes by Prof. Stephen Monismith 1.

Conservation Laws for Continua

PTT 204/3 APPLIED FLUID MECHANICS SEM 2 (2012/2013)

Non-Newtonian Fluids.

Chapter Six Non-Newtonian Liquid.

Viscoelasticity While water and air are Newtonian, lots of other common stuff isn’t: –Blood, paint, and many others have nonlinear viscosity (the faster.

10/11/2015BAE2023 Physical Properties of Biological Materials Lecture 10 Viscosity 1 This chapter is a study of the shear stress as a function of the shear.

1 MAE 5130: VISCOUS FLOWS Momentum Equation: The Navier-Stokes Equations, Part 2 September 9, 2010 Mechanical and Aerospace Engineering Department Florida.

Fluid Flows due to Pure Mechanical Forces… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Construction of Navier-Stokes Equations.

Department of Mathematics Comsats Institute of Information Technology

이 동 현 상 (Transport phenomena) 2009 년 숭실대학교 환경화학공학과.

Rheology At the completion of this section the student will be able to: describe Newtonian behaviour; illustrate and explain 3 different kinds of non-Newtonian.

Topic 3: Constitutive Properties of Tissues

Newtonian and non-Newtonian fluid

Viscoelasticity – 1 Lumped Parameter Models for time-dependent behavior DEQ’s as Constitutive Equations.

Tribology Lecture I.

MIT Amorphous Materials 7: Viscoelasticity and Relaxation

ME 7980 Cardiovascular Biofluid Mechanics

Spring 2015 BE 191 In-Class Activity Describing the Rheological Properties of Unknown Materials.

RHEOLOGY Young’s modulus – E = Modulus of rigidity – G =

Chapter 4 Fluid Mechanics Frank White

Continuum Mechanics (MTH487)

Part IV: Detailed Flow Structure Chap. 7: Microscopic Balances

MECHANICAL PROPERTIES OF MATERIALS

Table 8.1 SI base units for the seven fundamental dimensions.

Today’s Lecture Objectives:

Continuum Mechanics (MTH487)

Viscoelasticity and Wave Propagation

Roselyn Aperocho-Naranjo Faculty, College of Pharmacy USPF

MAE 5130: VISCOUS FLOWS Examples Utilizing The Navier-Stokes Equations

Continuum Mechanics for Hillslopes: Part IV

Continuum Mechanics for Hillslopes: Part V

Chapter 7: Solid and Fluids

1. Density y Volume,  Mass, m C Elemental Volume,   Mass, m x z.

Example: Polymer Extrusion

Lecture 10 – Viscosity and Flow (Ch. 6)

Lecture 9 – Viscosity and Flow (Ch. 6)

Lecture 10 – Viscosity and Flow (Ch. 6)

Lecture 10 Announcements

Today’s Lecture Objectives:

Dynamic-Mechanical Analysis of Materials (Polymers)

Lecture 10 – Viscosity and Flow (Ch. 6)

Concepts of stress and strain

MIT Amorphous Materials 7: Viscoelasticity and Relaxation

Lecture 9 – Viscosity and Flow (Ch. 6)

Homework Wednesday, May 08, 2019 Finish LAB Study WOW

Lecture 10 – Viscosity and Flow (Ch. 6)

29. Non-Newtonian Flow 2 CH EN 374: Fluid Mechanics.

Mechanical Properties of Biological Tissues. Strength of Biological Materials The strength of biological materials is defined by the ability of the material.

Introduction to Fluid Mechanics

Chapter 8 Shear Stress in Laminar Flow

Presentation transcript:

Transport phenomena Ch.8 Polymeric liquid 01.06.2015

Non-Newtonian Behaviors 1. Shear thinning & thickening : Nonlinear relation between shear rate & stress  Viscosity depending on shear rate Shear thinning Newtonian Shear thickening Interaction between flow & structure

Non-Newtonian Behaviors 2. Elasticity : Solid like response to deformation Elastic solid Viscous liquid Force Force Viscoelastic fluid : Force Oscillatory shear When  Ex) Water Storage modulus Loss modulus

Non-Newtonian Behaviors 3. Yield stress(Bingham plastic fluid) : Behaves as a rigid body at low stresses but flows as a viscous fluid at high stress (ex. Toothpaste, Mayonnaise) Planar pressure driven flow yield stress

Non-Newtonian Behaviors 4. Normal stress effect

Constitutive model Shear thinning & thickening Generalized Newtonian fluid - Power law viscosity :  Shear thinning ! Infinite viscosity for - Carreau model Planar pressure driven flow, power law fluid For , By symmetry,

Constitutive model Elasticity Spring - dashpot : Maxwell model : Relaxation time

Constitutive model Maxwell model : start-up shear flow, constant Stationary shear flow : Newtonian (no shear thinning & normal stress)

Constitutive model Maxwell model : Oscillatory shear

Constitutive model Scalar equation to tensor equation ??? ??? 1) Galilean invariance ??? ??? Total time derivative!

Constitutive model Scalar equation to tensor equation 1) Galilean invariance Total time derivative

Constitutive model Rotational invariance

Constitutive model Rotational invariance Position Velocity

Constitutive model Rotational invariance Velocity Shear rate?

Constitutive model Rotational invariance Velocity Shear rate?

Constitutive model Rotational invariance Transformation rule of tensor Shear rate? Transformation rule of tensor Then, how about time derivative?