Recent content by geetar_king
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Graduate Discretization in cylindrical coordinates, unit thickness for azimuth?
I've realized the azimuth drops out of the differential equation so my question no longer applies.- geetar_king
- Post #3
- Forum: Differential Equations
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Graduate Discretization in cylindrical coordinates, unit thickness for azimuth?
I am setting up a numerical simulation from a 2D discretization of the heat equation in cylindrical coordinates. my spatial variables are radius (r), height (z), and azimuth (ø). The assumption is that there is no gradient along the azimuth direction (if temperature is T then dT/dø = 0)...- geetar_king
- Thread
- Coordinates Cylindrical Cylindrical coordinates Discretization Thickness Unit
- Replies: 2
- Forum: Differential Equations
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Graduate 2D heat conduction of layered composite model
Thanks Chet, I will give it a try with finite difference method.- geetar_king
- Post #3
- Forum: Thermodynamics
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Graduate 2D heat conduction of layered composite model
Hi, I am trying to formulate a 2D model to calculate the temperature change over time in a composite material. The material consists of several layers, and is heated from all edges by a known temperature vs time profile. I was thinking of creating a finite element model. Can someone...- geetar_king
- Thread
- 2d Composite Conduction Heat Heat conduction Model
- Replies: 2
- Forum: Thermodynamics
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Graduate Closest Matching Chemical Fingerprint -what analysis?
Thanks, I will look at fuzzy clustering. I do not care really which samples come from a particular source. I also don't really know what compounds and proteins should remain unchanged in the sample over time or after exposure to different conditions, otherwise I would exclude some of the...- geetar_king
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Closest Matching Chemical Fingerprint -what analysis?
Correlation of data sets, chemical composition I have roughly 80 test results from different samples, each result set is a list of concentrations of various chemical compounds and proteins obtained through gcms (gas chromatography mass spec) There are over 50 of these compound concentrations...- geetar_king
- Thread
- Analysis Chemical
- Replies: 3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Multi Variable Optimization Problem
I have a problem that I normally find solutions to via trial and error, and they usually aren't optimized, but was wondering if there is a better way to solve this and optimize. My application is specific but this is the best way I can describe the problem. Forgive me if it doesn't make...- geetar_king
- Thread
- Optimization Variable
- Replies: 2
- Forum: Calculus
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Undergrad What does the Centroid of area under Rate vs Time plot represent?
I want some attribute to distinguish higher rates in a shorter amount of time versus lower rates for a long amount of time. Eg tall skinny area under curve vs short and wide area. I'm not sure how to do this without simply looking for shortest time, or highest avg rate.- geetar_king
- Post #5
- Forum: Classical Physics
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Undergrad What does the Centroid of area under Rate vs Time plot represent?
Thanks haruspex, if the rate coordinate of the centroid represents the variance, then I could use that for comparison. I was hoping to find something for comparison to weigh in on the value of the rate. If higher rate = better, variance won't help me in comparison. I don't want average...- geetar_king
- Post #3
- Forum: Classical Physics
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Undergrad What does the Centroid of area under Rate vs Time plot represent?
What does the "Centroid" of area under Rate vs Time plot represent? Does the 'centroid' of the area under a rate vs time plot represent anything? I have a bunch of rate vs time plots and was trying to think of a way to compare them, other than just cumulative volume which is area under the...- geetar_king
- Thread
- Area Centroid Plot Rate Time
- Replies: 6
- Forum: Classical Physics
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Graduate Area Under a Curve, 3D, with known end points and curve radius
I am trying to find out a method of determining the area below a curve. The end points of the curve are known in cartesian space, and the curvature of the curve is known. A diagram of the curve is here, shown in the images belowthis webpage [SIZE="1"]ß must be in radians...- geetar_king
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- 3d Area Curve Points Radius
- Replies: 1
- Forum: Calculus
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Graduate Diffusion equation, semi-infinite solution
it's the non homogeneous boundary conditions that are making this tough. it would be a lot easier if T=0 at each boundary- geetar_king
- Post #18
- Forum: Differential Equations
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Graduate Diffusion equation, semi-infinite solution
Feldoh, I think I have to try a different method! What do you think. Would doing a laplace transform on the PDE help me out here?- geetar_king
- Post #17
- Forum: Differential Equations
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Graduate Diffusion equation, semi-infinite solution
C1=0 would make physical sense, but I would like to be able to use for example C1 = 20 its almost like it needs to take the form T(0,0) = g(0) = f(0) = T(x,t) = [De^{-\alpha\lambda^{2}(t)}]J_{0}(\lambda (x)) + C_{1} i'm not sure because all bessels...- geetar_king
- Post #16
- Forum: Differential Equations