Consider a fully developed, isothermal, steady, unidirectional laminar flow of an incompressible
non-Newtonian liquid flowing between two parallel plates as shown in illustration below. (Plates
are infinitely wide - meaning no influence of sidewalls on th
CHE331
OSU CBEE Department of Chemical Engineering
Transport Phenomena I
STUDIO Set #9
Thursday, October 22, 2015
Please organize into groups of 3 to work on this problem. Preferably, with folks you have not
previously worked with. Please write their name
OREGON STATE UNIVERSITY
CBEE Department of Chemical Engineering
CHE 331
Transport Phenomena1
Dr. Goran Jovanovic
Mechanical Energy Balance Equation
Flow Through Fluidized Beds
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CHE 331
Fall 2014
MECHANICAL ENERGY BALANCE EQUATIO
OREGON STATE UNIVERSITY - CBEE
DEPARTMENT OF CHEMICAL ENGINEERING
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
CHE 331
Fall 2014
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Conservation of Momentum
Momentum is subject to the first principle like mass and energ
OREGON STATE UNIVERSITY
CBEE
DEPARTMENT OF CHEMICAL ENGINEERING
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
Mechanical Energy Balance Equation I
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CHE 331
Fall 2014
MECHANICAL ENERGY BALANCE EQUATION
INTERNAL ENERGY(U) is t
CHE 331 Transport Phenomena I
Mathematical Modeling
Goran Jovanovic
Oregon State University
School of Chemical, Biological, and Environmental Engineering
(Please turn you cell-phones off)
[email protected]
People. Ideas. Innovation.
Mathematical Modelin
OREGON STATE UNIVERSITY
CBEE Department of Chemical Engineering
CHE 331
Transport Phenomena1
Dr. Goran Jovanovic
Mechanical Energy Balance Equation
for flow through Packed Beds
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CHE 331
Fall 2014
MECHANICAL ENERGY BALANCE EQUATI
Non-Newtonian Fluids Power-Law Fluid
A Seattle based company, Starbucks, is planing* to pump its world famous
drink, Caf-Lat, in a slurry pipeline from their new coffee roasting plant in
Washington all away to the East coast. This world's first coffee pip
OREGON STATE UNIVERSITY
CBEE
DEPARTMENT OF CHEMICAL ENGINEERING
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
Mechanical Energy Balance Equation II
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CHE 331
Fall 2014
MECHANICAL ENERGY BALANCE EQUATION
i
u 2 P
+ F +W Sout =
Numerical Simulations in
COMSOL
CHE 331
Transport Phenomena I
Fall 2014
CHE 331
Fall 2014
NUMERICAL SIMULATIONS
- Numerical simulations are used to solve problems with
complicated or non-existent analytical solutions
Find
?
COMSOL software for numerical s
OREGON STATE UNIVERSITY
School of Chemical Biological and Environmental Engineering
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
(please turn cell-phones OFF)
CHE-331
Fall 2014
[email protected]
OSU College of Engineering
Course Goals
1. To apply t
CHE 331
OSU Department of Chemical Engineering
Transport Phenomena I
CLASS PROBLEM
Problem Statement: Consider two immiscible fluids Fluid-I and Fluid-II flowing coaxially
in a horizontal pipe under isothermal and fully developed laminar flow conditions a
OREGON STATE UNIVERSITY
CBEE
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
Surface Tension Forces I
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CHE 331
Fall 2014
Surface Tension
There are two kinds of surface forces that create most of the liquid
surface phenomena.
OREGON STATE UNIVERSITY-CBEE
DEPARTMENT OF CHEMICAL ENGINEERING
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
Application of Navier-Stokes Equations
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CHE 331
Fall 2014
A viscous Newtonian fluid is flowing under gravity only,
OREGON STATE UNIVERSITY-CBEE
DEPARTMENT OF CHEMICAL ENGINEERING
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
Application of Navier-Stokes Equations
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CHE 331
Fall 2014
A viscous Newtonian fluid is confined between large
para
OREGON STATE UNIVERSITY SCHOOL of CBEE
DEPARTMENT OF CHEMICAL ENGINEERING
CHE 331
Transport Phenomena I
Non-Newtonian Fluids
Dr. Goran Jovanovic
Reading Assignment:
1) Liquid Viscosity Correlations for Flowmeter Calculations;
Roger Gilmont
2) Non-Ne
OREGON STATE UNIVERSITY
School of Chemical Biological and Environmental Engineering
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
(please turn cell-phones OFF)
CHE-331
Fall 2015
[email protected]
OSU College of Engineering
Course Goals
To apply the
CHE 331 Transport Phenomena I
Mathematical Modeling
Goran Jovanovic
Oregon State University
School of Chemical, Biological, and Environmental Engineering
(Please turn you cell-phones off)
[email protected]
People. Ideas. Innovation.
Mathematical Modelin
CHE 331
OSU Department of Chemical Engineering
Transport Phenomena I
Fall 2015
OSU-CBEE
Department of Chemical Engineering
Transport Phenomena I
CHE 331
EXAM
1
I neither gave nor received assistance during this examination.
Signature:
Print name:
Studio S
Numerical Simulations in
COMSOL
CHE 331
Transport Phenomena I
Fall 2015
CHE 331
Fall 2015
NUMERICAL SIMULATIONS
- Numerical simulations are used to solve problems with
complicated or non-existent analytical solutions
H us 1
H
2 H
T
+ us us = pH I +
OREGON STATE UNIVERSITY-CBEE
DEPARTMENT OF CHEMICAL ENGINEERING
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
Application of Navier-Stokes Equations
Please turn-off cell phones
CHE 331
Fall 2015
A viscous Newtonian fluid is flowing under gravity only,
OREGON STATE UNIVERSITY
CBEE Department of Chemical Engineering
CHE 331
Transport Phenomena1
Dr. Goran Jovanovic
Mechanical Energy Balance Equation
for flow through Packed Beds
Please turn-off cell phones
CHE 331
Fall 2015
MECHANICAL ENERGY BALANCE EQUATI
CHE 331
OSU CBEE Department of Chemical Engineering
Transport Phenomena 1
PROBLEM STATEMENT:
Develop a relationship (mathematical model) between the pressure difference,
Pz [ Pa ] , along a circular pipe and,
m
a) the velocity profile inside the pipe, vz
CHE331
OSU CBEE Department of Chemical Engineering
Transport Phenomena I
Fall 2013
Homework Set #7
(Due Monday, November 25, 2013 @11:00am)
1. A Newtonian fluid is in steady state, unidirectional laminar, isothermal flow through a
channel of rectangular c
CHE 331
OSU CBEE Department of Chemical Engineering
Transport Phenomena I
Fall 2013
Homework Set #8 SOLUTION
(Due Monday, December 2)
1.
Consider a flow in the annulus region between two concentric pipes. In the annulus of
length L, shown in the illustrat
CHE 331
Fall 2013
OSU Chemical, Biological and Environmental Engineering
HOMEWORK 5 SOLUTION
Page 1
PROBLEM 2 A Bingham plastic fluid 0 20 Pa , 0.02 kg / m s , 2000 kg / m3
discharges from the bottom of the storage tank through a horizontal pipe with an
An empty tank is being lled with a uid ( =1000 [kg/m3], = 0.0043 [kg/ms]) as
shown in the illustraDon below. The equivalent length of the pipe is Leq=25 [m]. A
constant work of (-WSout) = 29.43 [J/kg uid] is
OREGON STATE UNIVERSITY
CBEE
DEPARTMENT OF CHEMICAL ENGINEERING
CHE 331
Transport Phenomena I
Dr. Goran Jovanovic
Mechanical Energy Balance Equation II
Please turn-off cell phones
CHE 331
Fall 2015
MECHANICAL ENERGY BALANCE EQUATION
u
gZ +
2
Potential
Ene