ABE 307
MOMENTUM TRANSFER IN FOOD AND
BIOLOGICAL SYSTEMS
Lecture 1 : August 22nd 2016
1
FALL 2016
ABE 307-Momentum Transfer-Fall 2016
Transport Phenomenon
2
In Engineering three types of transport phenomena are encountered :
Transport of Momentum : Fluid

Boundary Layer Velocity Prole
Consider a ow of uid over a flat plate. Far from the plate let us say that the ow is uniform
with a constant velocity VuSThiS is called: J; $ He 9, SW VQADUN .
No slip condition, plate is stationary. _.:) GOMd m3 \QLdEY AhQJb

, J, m Him D) Foul/3% Fhan
I
8595 mg g 3AM _
,77,7 1777, _:L1C1 ea Z. dim _
z. , , M '"HNLL "ES dhrik? D1)
54sz : gym g 1mm In W (a [Aha5M
PM ' ! him 3 "*7Nm gmigwrm % dire/Won)
- % WQ W LS age. _
._.-7777 apfz '30
_P_s$ _('o

ABE 307
DE Novl(
Dimensionless Variables and Buckin llams Pi Theo and
In many practical cases offluid flow problems the number ofindependent parameters are
\ eVl
exceedingly larger than the basic dimensions, which leads to more unknown indices to be sol

ABE 307
Date: N O V CITholglb
Dimensional Analysis
Why is dimensional analysis needed?
To be able to validate some physical laws experimentally.
For scale up, when you want to maintain the same flow field that you observe in laboratory to a
large (pl

ABE 307
Date Nov \R'Hable
Dimensional Analysis of Eguation of Motion & Continuity
To be able to design model systems that can be later used for scale up, the equation of motion
and continuity can be written in dimensionless form and the dimensionless nu

Macroscopic Mechanical Energy Balance
ABE 307 M
Date Del/5
atlng impeller which inputs energy). Fluid can also do work by moving turbines. There is always
los . - - . . .
loss of mechanical energy m the system due to Viscous dISSipation which is related t

encountered in engineering problems.
:1) Flow through channels/
flow through artery etc.
flow.
b) Flow around submerged objects such as uid ow around heat exchanger tube, flow
around particles in a mixing tank. The main goal in these cases is to nd relati

Macroscopic Balances For Isothermal Flow Systems
ABE 307
DateJQ a a h 6010 b
In earlier part of course the equation of continuity and equation of motion were derived based on
mass balance and momentum balance respectively over a microscopic system" or sma

ABE 307
Fall 2014
Solution to Homework 6
2.
The equation of motion is given by,
v x
2vx
t
y 2
Differentiating the above equation with respect to y one obtains,
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner

ABE 307
MOMENTUM TRANSFER IN FOOD AND BIOLOGICAL SYSTEMS
Department of Agricultural and Biological Engineering
Purdue University
Fall 2016
Instructor:
Shweta Singh
Room ABE313
Phone: 496-1390
email: [email protected]
Lectures:
MW 10:30-11:20 Lamberts Fi

ABE 307
Homework 9
Fall 2016
Due: 11/28/16
1. Read Example 3.7-2 (Steady Flow in an Agitated Tank). Using the results from Example
3.7-2 what factors would need to be taken into account in designing a mixing tank for use
on the moon by using data from a s

ABE 307
Homework 7
Due Date: Nov 4th 2016
1. Potential flow near a stagnation point. (15 Points)
a) Show that the complex potential = 0 2 describes the flow near a plane
stagnation point.
b) Find the velocity components (, ) and (, ).
c) Explain the physi

ABE 307
Homework 1
Fall 2016
Assigned: 08/26/2016
Due: 09/02/2016
1. A force of 100 kN is applied at a point on a body, at an angle of 30 degree with X axis. The
Y component of the shear force on the YZ plane is 35.35 kN. Find the other component of
the s

ABE 307
Homework 3
Fall 2016
Due: 09/23/16
1. By momentum balance obtain the expression for velocity profile for flow of a Newtonian
fluid at steady state through a narrow slit that is inclined from the vertical at an angle of
. (15)
a. Identify the contr

1
ABE 307
Fall 2016
Homework 8
Due: 11/11/2016
1. Assume a simple velocity profile as given below for boundary layer in case of laminar
viscous flow over a flat plate. The fluid approaches the plate with uniform velocity .
The boundary layer develops on b

ABE 307
Homework 2
Fall 2016
Due: 09/19/16
1. The micromanometer illustrated in figure below is a useful device for accurately measuring
small pressure difference. If the densities of the two manometer fluids are nearly the same
(1 2), measurable values o

ABE 307
Homework 5
Due Date: Oct 18th 2016
1. Consider a catheter of radius Rc placed in a small artery of radius R as shown in the
figure below. The catheter moves at a constant speed V. In addition, blood flows through
the annular region between Rc and

HW 4 Solutions
1) It was done in class. See notes.
2) We need lagrangian reference to observe the whole fluid velocity profile by following the fluid
particle that can account for the effect of convection too. If you watch the video it explains how
you ge

ABE 307
Fall 2015
Homework 10
Due: 12/5/2016
1. A glass sphere of 4 cm diameter and of density 2.63 g/cc is allowed to fall through a liquid of
density 1.4 g/cc and viscosity of 1 cp. Calculate the terminal velocity of the sphere. (10)
2. A hollow sphere