MOMENTUM TRANSFER IN FOOD AND
Lecture 1 : August 22nd 2016
ABE 307-Momentum Transfer-Fall 2016
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
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Dimensionless Variables and Buckin llams Pi Theo and
In many practical cases offluid flow problems the number ofindependent parameters are
exceedingly larger than the basic dimensions, which leads to more unknown indices to be sol
Date: N O V CITholglb
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
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
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.
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
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
2) At higher altitudes and lower atmospheric pressures, liquid 1 will spill out of the
Consider the two states of the system:
Case 1 Both openings are exposed to the same pressure P.
Case 2 Open
1. A force of 115.47 kN is applied at a point on a body, at an angle of 60 degree with Y axis.
The X component of the shear force on the XZ plane is 86.6 kN. Find the other component
ABE 307, Fall 2017
September 19, 2017
Consider a thin shell as shown in the figure below:
Assume the thickness of the shell and the width of the shell to be y and b
respectively. Let th
MOMENTUM TRANSFER IN FOOD AND BIOLOGICAL SYSTEMS
Department of Agricultural and Biological Engineering
email: [email protected]
MW 10:30-11:20 Lamberts Fi
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
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
b) Find the velocity components (, ) and (, ).
c) Explain the physi
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
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
a. Identify the contr
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
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
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
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