Recent content by Phys pilot

I'm referring to classical nuclear reactors. Basically uranium pellets. There is not much info so I guess that manufacturers have their own methods and they don't public them. Hi Astronuc, I appreciate your response, your knowledge shown in this forum always impresses me, especially...

Hello, I'm looking for some sources and bibliography focused on nuclear fuel fabrication. In this context, I am referring to the creation of fuel pellets, excluding the uranium enrichment procedures. I am aware of at least two methods, the mechanical and the ceramic one. With fabrication I...

Thank you very much for your anwer. I heard about PHITS before so I guess that it is the way to go. I'll try to get the license and hope it is easier to get than MCNP. As far as I know the pipe should be dry and I don't know the dimensions and the material yet, but I know that some are round...

Hello, I don't know if is possible to answer my own post to boost visibility after a week. Thanks.

Hello, I need to carry some simulations for my master's project and my tutor doesn't know much about simulations. I can't tell much since it is related with a private company but basically I'll have to simulate and measure the radiation emitted by some enriched uranium particles or uranium...

I see, so the spectrum would be also continuos and a similar shape? Thanks

Hello, When you have a beta decay you get the typical continuos spectrum representing counts against the kinetic energy of the electron. But what's the shape and how I get the spectrum of the kinetic energy of the neutrinos? Thanks

Hello, so for a Fourier series in the interval [-L,L] with L=L and T=2L the coefficients are given by $$a_0=\frac{1}{L}\int_{-L}^Lf(t)dt$$ $$a_n=\frac{1}{L}\int_{-L}^Lf(t)\cos{\frac{n\pi t}{L}}dt$$ $$b_n=\frac{1}{L}\int_{-L}^Lf(t)\sin{\frac{n\pi t}{L}}dt$$ But if we have an interval like [0,L]...

Yes, of course. Now I can write formulas. So I do this integral: $$a_n=2\int_0^1 (u_0(1-\cos{n\pi})+\frac{h}{2k}x^2-(2u_0+\frac{h}{2k})x)\sin{n\pi x}dx$$ Which is the sum of the following integrals: $$\int_0^1 2u_0 \sin{n\pi x}dx=-\frac{2u_0}{n\pi}((-1)^n-1)$$ $$\int_0^1 2u_0\cos{\pi x}...

Ok so I integrated a_1 separately and I got a really similar term $$-4*h/(pi^3k)$$ but the it should be just pi. The n^2-1 comes from the integration of the cosine. Could you tell me the integral that I am supposed to do? I think I did the right one integrating the expression for a_1 but I'm...

Yes, for n=1 there is an indetermination in the second term of the coefficient. But what integral I'm supposed to do for n=1? I'm lost there, I don't see how to get the term outside of the sum. Actually, I don't see clearly why the integral doesn't work for n=1. I mean, I know that doesn't work...

Hello, I posted the same in the partial differential equations section but I'm not getting responses and maybe this section is better for help with homework. I have to solve this problem: $$u_t=ku_{xx}+h \; \;\; \; \; 0<x<1 \; \; \,\; t>0$$ $$u(x,0)=u_0(1-\cos{\pi x}) \; \;\; \; \; 0\leq x \leq...

Hello, I have to solve this problem: $$u_t=ku_{xx}+h \; \;\; \; \; 0<x<1 \; \; \,\; t>0$$ $$u(x,0)=u_0(1-\cos{\pi x}) \; \;\; \; \; 0\leq x \leq 1$$ $$u(0,t)=0 \; \;\; \; \; u(1,t)=2u_0 \; \;\; \; \; t\geq0$$ So I know that I can split the solution in two (I don't know the reason. I would...

Hello, I want to plot this PDE which is non homogeneous: ut=kuxx+cut=kuxx+c u(x,0)=c0(1−cosπx)u(x,0)=c0(1−cosπx) u(0,t)=0u(1,t)=2c0u(0,t)=0u(1,t)=2c0 I have a code that can solve this problem and plot it with those boundary and initial conditions but not with the non homogeneous term...

Yes! apparently there was a mistake on the equation and it's heat equation. You wrote this: a_n = 2 \int_0^1 \left( c_0(1 - \cos(\pi x)) - \frac{c}{2k}x(x_0 - x)\right)\,dx But it should be: a_n = 2 \int_0^1 \left( c_0(1 - \cos(\pi x)) - \frac{c}{2k}x(x_0 - x)\right) \sin(n\pi x)\,dx right...