# 0.10 Numerical simulation  (Page 4/8)

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## Assignment 12.1

Use the code in the /numer/ directory of the CENG501 web site as a starting point. Add the capability to include arbitrarily specified normal component of velocity at the boundaries. The stream function at the boundary should be numerically calculated from the specified velocity at the boundary. Test the code with Couette and Plane-Poiseuille flows first in the $x$ and then in the $y$ directions. Display vector plot of velocity and contour plots of stream function and vorticity. Show your analysis and code.

## Assignment 12.2

Form teams of two or three and do one of the following additions to the code. Find suitable problems to test code.

1. Calculate pressure and stress. Test problems: Couette and Plane-Poiseuille flows.
2. Calculate transient and finite Reynolds number flows. Test problems: Plate suddenly set in motion and flow in cavity.
3. Add option for cylindrical polar coordinates. Use the coordinate transformation, $z=lnr$ . Test problems: line source and annular rotational Couette flow.

Form new teams of two or three with one member that developed each part of the code. Include all features into the code. Test the combined features. Work together as a team to do the following simulation assignments.

## Assignment 12.3

Boundary layer on flat plate. Compute boundary layer velocity profiles and drag coefficient and compare with the Blasius solution. What assumption is made about the value of the Reynolds in the Blasius solution?

## Assignment 12.4

Flow around cylinder. Assume potential flow far from the cylinder. Calculate drag coefficient as a function of Reynolds number and compare with literature.

## Assignment 12.5

Flow around cylinder. Find the Reynolds number at which boundary layer separation occurs.

## Fortran on owlnet

Modern FORTRAN compilers in the MSWindows are very user friendly. They have built in project workspace routines, documentation, and integrated editor and debugger. If you use the FORTRAN compiler on Owlnet, it is useful to know how to use make files to compile and link FORTRAN code. The following is an example make file. You may give it the name, makefile , with no extension.

f77 -c streamf1.f; f77 -c bc1.f;f77 -c coef1.f; f77 -c asolve.f;f77 -c atimes.f; f77 -c dsprsax.f;f77 -c dsprstx.f; f77 -c linbcg.f;f77 -c snrm.f; f77 -o exe streamf1.o bc1.o coef1.o asolve.o atimes.o dsprsax.o dsprstx.o linbcg.o snrm.o

You have to give yourself permission to execute the make file with the one-time command,

chmod +x makefile

The line with the -c option compiles the source code and makes an object code file with the extension of .o. The line with the -o option links the object files into the executable file called exe . This executable file can be executed by typing its name, exe , on the command line.

This example makefile is not very efficient because it will compile every source code listed. There are instructions to recompile only the source code that has been modified or "touched" since the last time the makefile was invoked. However, I do not recall the instructions.

how do they get the third part x = (32)5/4
can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
a perfect square v²+2v+_
kkk nice
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
rolling four fair dice and getting an even number an all four dice
Kristine 2*2*2=8
Differences Between Laspeyres and Paasche Indices
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
is it 3×y ?
J, combine like terms 7x-4y
how do you translate this in Algebraic Expressions
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
what is nano technology
what is system testing?
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
how did you get the value of 2000N.What calculations are needed to arrive at it
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