An analytical solution to the three-dimensional telegraph equation is presented. This equation has recently received some attention but so far the treatment has been one-dimensional. By using the structural similarity...An analytical solution to the three-dimensional telegraph equation is presented. This equation has recently received some attention but so far the treatment has been one-dimensional. By using the structural similarity to the Klein-Gordon equation, the telegraph equation can be solved in closed form. Illustrative examples are used to discuss the qualitative differences from the diffusion solution. A comparison with a numerical test-particle simulation reveals that some features of an intensity profile can be better explained using the telegraph approach.展开更多
The direct measurements of turbulent viscosity and effective magnetic diffusivity in turbulent flow of electro-conductive fluids under moderate magnetic Reynolds number,i.e.,1<Rm<Rm*,where Rm* denotes the dynamo...The direct measurements of turbulent viscosity and effective magnetic diffusivity in turbulent flow of electro-conductive fluids under moderate magnetic Reynolds number,i.e.,1<Rm<Rm*,where Rm* denotes the dynamo threshold,are reported.The measurements are performed in a nonstationary turbulent flow of liquid sodium,generated in a closed toroidal channel.The peak level of the Reynolds number reached 3 000 000,which corresponds to magnetic Reynolds number about 30.展开更多
文摘An analytical solution to the three-dimensional telegraph equation is presented. This equation has recently received some attention but so far the treatment has been one-dimensional. By using the structural similarity to the Klein-Gordon equation, the telegraph equation can be solved in closed form. Illustrative examples are used to discuss the qualitative differences from the diffusion solution. A comparison with a numerical test-particle simulation reveals that some features of an intensity profile can be better explained using the telegraph approach.
基金Item Sponsored by Russian Foundation for Basic Researches (project 11-01-00423a)
文摘The direct measurements of turbulent viscosity and effective magnetic diffusivity in turbulent flow of electro-conductive fluids under moderate magnetic Reynolds number,i.e.,1<Rm<Rm*,where Rm* denotes the dynamo threshold,are reported.The measurements are performed in a nonstationary turbulent flow of liquid sodium,generated in a closed toroidal channel.The peak level of the Reynolds number reached 3 000 000,which corresponds to magnetic Reynolds number about 30.