2.5 | 4 ratings Rate this file 26 downloads (last 30 days) File Size: 18.66 KB File ID: #9743

Free Convection Past a Vertical Flat Plate

24 Jan 2006 (Updated 27 Nov 2007)

No BSD License

computes velocity and temperature profiles

File Information
Description	The program computes the velocity and temperature profiles for free convection past an isothermal vertical plate. Results are obtained after solving two coupled nonlinear differential equations. The shooting method is used to obtain the boundary conditions, required to solve the coupled ODEs, which match the conditions in the outer fluid. We plot velocity and temperature profiles versus a similarity variable for different Prandtl numbers (Pr=0.01, 1, 10 and 100). The figures obtained are in agreement with those given in Analysis of Transport Phenomena, William M. Deen, OUP, 1998 (figures 12-5 and 12-6 pages 500-501). This problem was solved originally by Ostrach, 'An analysis of laminar free-convection flow and heat transfer about a flat plate parallel to the direction of the generating body force', NACA Tech. Rept. No 1111, 1953. Derivation of the governing equations can be found in Deen's book. Please visit this link for a similar treatment using Mathematica: http://library.wolfram.com/infocenter/MathSource/5979/
Required Products	Optimization Toolbox
MATLAB release	MATLAB 7.0.1 (R14SP1)
Zip File Content
Other Files	FreeConv/derivation.asv, FreeConv/derivation.m, FreeConv/derivation1.m, FreeConv/freeconv.m, FreeConv/FreeConvection.gif, FreeConv/Main_FreeConvection.asv, FreeConv/Main_FreeConvection.m

Tags for This File
Everyone's Tags	chemistry, free convection, physics, shooting method, temperature and velocity profiles
Tags I've Applied
Add New Tags	Please login to tag files.

Comments and Ratings (6)
26 Jan 2006	Duane Hanselman	No help text whatsoever. Not a function. No inputs. No identified outputs. No value to users.
28 Jan 2006	urs (us) schwarz	no help; not a clean function; no enhancement for ML programmers, be, eg, a sleek new syntax or novel vectorization engine; no usable output for common users nor a generalizable function; altogether, no real value or enhancement for the ML community at large us
10 Feb 2006	John D'Errico	This is getting better. There are now useful comments to follow what was done and references to pursue the subject further. I'd have wished for an extra line or two that explained why a stiff solver was necessary for this problem. In a perfect world, I'd ask for a couple of paragraphs of intuitive explanation to draw in the student who might be interested in the subject, but lacks a complete background. These comments might, for example, explain what a Prandtl number is, and how it impacts the solution.
09 Feb 2007	FORKAN BERKENOU
30 Jul 2007	r. rajesh	verry good e book
05 Feb 2008	En.MOAMEED AYDIAN	good thinks

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Updates
27 Jan 2006	typo in description
09 Feb 2006	added comments and improved the method of resolution of this split boundary problem
27 Nov 2007	added link to Wolfram Library Archive

Tag Activity for this File
Tag	Applied By	Date/Time
chemistry	Housam Binous	22 Oct 2008 08:13:37
physics	Housam Binous	22 Oct 2008 08:13:37
free convection	Housam Binous	22 Oct 2008 08:13:37
shooting method	Housam Binous	22 Oct 2008 08:13:37
temperature and velocity profiles	Housam Binous	22 Oct 2008 08:13:37

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