I found that 23 page document here http://www.iop.org/EJ/abstract/0032-1028/10/1/306 but glanced through and did not find anything on specifically magnetic forces. Shocks yes but not the ones I look for.
Here is the only match I can find of double shock http://www.spacedaily.com/news/future-00o.html Search for split and read around those parts. (The Opera browser is good because it highlights all occurrences of the search term.) Double shocks means double sound speeds which is simply the case in plasmas. It remains to calculate them however. This might take me years. A trivial approach is to assume that the magnetic lines are "frozen in" as they call it. Then the rho term in the calculation could be taken to be the material intertial/gravitational rho Based on http://www.mathpages.com/home/kmath109/kmath109_files/image008.gif vm^2=(p1-p0)/(rho1-rho0)=dp/drho~=p/rho=magnetic pressure/density some value could be determined. If the magnetic shock (ms) comes at lower speeds than the gas kinematic shock (gks) then the gks will be smaller since the ms has already pushed some of the medium away. If the magnetic speed vm is higher than the gas kinematic speed then the magnetic forces will deflect the medium like in potential flow and also then make the gks smaller. But it remains to show how big magnetic tension speed and the magnetic pressure speed are. The magnetic pressure should be around the magnitude as the atmospheric pressure in order to have an effect. 1 atm = 10^5 N/m^2 = B^2/2µ0 implies B=sqrt(2*10^5*µ0)=(2 * (10^5) * 4 * pi * (10^(-7)))^0.5 = 0.5 Tesla which is a fairly strong field but not unreasonably strong to be achieved by technical means around an aircraft. The problem is that the molecular collisions are too common in the atmosphere in order to have gyrating particles in the plasma to uphold the magnetic field. The Ramsauer effect could make a difference here but I have not investigated how to engineer it. Another factor is that someone has show that magnetic fields are not always frozen in, like E. A. Witalis, Phys. Plasmas 10, 747 1968 http://www.iop.org/EJ/abstract/-search=23530486.5/0032-1028/10/8/302 There is a paper by V E Semenov et al 2002 Plasma Phys. Control. Fusion 44 B293-B305 doi:10.1088/0741-3335/44/12B/321 http://www.iop.org/EJ/abstract/0741-3335/44/12B/321 showing that it is energetically feasible to lower the pressure in front of an aircraft even if the required energy is spread as internal energy in the gas (in vibrational and rotational motion in the gas molecules) i.e. heating. Magnetic forces would be energetically preferable since no energy is lost as internal energy in the gas. David On 6/29/07, Jones Beene <[EMAIL PROTECTED]> wrote:
I have a dim recollection of having read Winterberg expound on exactly what you are looking for in Zeitschrift and Fusion Technology in past years. These days all my recollections are dimming, and I no longer have easy access to these subscriptions. That's why there is google. And a google search for: Magnetic "shock wave" Winterberg returns 164 hits, including such jewels as "IMPLOSION OF A DENSE PLASMA BY HYPERVELOCITY IMPACT" but I do not have time this morning to write you a dissertation -- so you will have to take it from there ... ;-) David Jonsson wrote: > On 6/29/07, *Jones Beene* <[EMAIL PROTECTED] > <mailto:[EMAIL PROTECTED]>> wrote: > > David Jonsson wrote: > > > If someone knows about such experiments please send me references. > > The leading expert in this field is Friedwardt Winterberg, now a > professor at U. Nevada, Reno. > > Most of his publications are in the German Language in Zeitschrift für > Naturforschung, etc. but there should be a listing on his faculty page, > or here, for the information you need. > > http://en.wikipedia.org/wiki/Friedwardt_Winterberg > <http://en.wikipedia.org/wiki/Friedwardt_Winterberg> > faculty page: > http://physics.unr.edu/faculty/winterberg/ > > > I checked that and also > http://scholar.google.com/scholar?q=Friedwardt+Winterberg&hl=en&lr=&start=0&sa=N > < http://scholar.google.com/scholar?q=Friedwardt+Winterberg&hl=en&lr=&start=0&sa=N > > but failed to see the connection. Can you be more specific? > > David
