Power formula for space navigation, MHD propulsion

[soliris]

TL;DR

Power = budi
Extended power formula for space navigation with MHD propulsion, considering that planet Earth owns such an engine..

Hello

Interested in MHD propulsion, I thought this power formula in watts, inspired by the Lorentz force, might be useful:
P = B.U.D.I,
where B = Tesla magnetic field, U = rotational speed, D = diameter of a rotating magnet, and I = intensity of the injected electric current.
The model used here, I admit, is that of planet Earth, which seems to possess such an internal engine!

What do you think?

 

[Baluncore]

While MHD may be important for ionic particles suspended in the atmosphere, the Earth's magnetic field is probably insufficient to keep a juggler's balls in the air.

What were you thinking of navigating through space ?
The Earth's magnetic field might be distorted by the object's mass.

 

[soliris]

Hehe, the juggler's balls..

You're absolutely right about the outer magnetosphere: the surface field is indeed minuscule (~50 microteslas). But it's different in the ferrous core, where the Earth's thermal and magnetic engine originates, isn't it?

Actually, I was thinking more about the Earth's depths, because my formula is inspired by geodynamo models in the liquid outer core, where Lorentz forces (F = I × L × B) coupled with convection currents generate the Earth's magnetic field. So, to answer your question about space navigation: no, I don't intend to use the Earth's field as a point of leverage! The Earth analogy simply came from the idea of a moving conducting fluid." under the influence of magnetic and electric forces.

I envision instead an MHD thruster carrying its own high-temperature superconducting magnet to generate a very intense local magnetic field (B).

(I previously subjected this formula to a rigorous dimensional analysis -taking U as the linear velocity at the rotor's extremities-. The product does indeed yield Watts. Obviously, this doesn't presuppose geometric coefficients (the π factors, the flux orientation, etc.) or Joule effect losses.

You mention the distortion of the field by the object's mass; regarding the formula P = B ⋅ U ⋅ D ⋅ I, if we apply it to a closed propulsion system (such as an MHD submarine or an autonomous space propulsion system with its own magnet), are you referring to a magnetic shielding effect or a specific magnetohydrodynamic interaction within the space plasma?

 

[Point Zero]

Well, my field of research is MHD propulsion and i have given quite a lot of time to that, understanding how plasma and other particles interact at the magnetopause and heliopause, and what property changes occur at that interaction is a very critical aspect of MHD. Even though this is a very promising propulsive method we need to understand that the plasma outside the magnetopause and moreover outside the heliopause behaves in very different ways. Inside our magnetopause the plasma is in a very steady state, moving outside the magnetopause the plasma has more velocity component and moves a bit more freely, so the electromagnetic tethers have a greater chance to pick up floating bucket of plasma and generate some useable energy. Now outside the heliopause the scenario is very very different, the plasma has the most velocity and is extremely turbulent as to say, this helps the tethers to collect the maximum amount of plasma from the entire ocean and not from what was able to successfully cross the heliopause and could theoretically according to my calculations; could actually produce enough energy to power the entire satellite.

You can read this in much more detail from my research paper as soon as it is published.

 

[Point Zero]

Well, my field of research is MHD propulsion and i have given quite a lot of time to that, understanding how plasma and other particles interact at the magnetopause and heliopause, and what property changes occur at that interaction is a very critical aspect of MHD. Even though this is a very promising propulsive method we need to understand that the plasma outside the magnetopause and moreover outside the heliopause behaves in very different ways. Inside our magnetopause the plasma is in a very steady state, moving outside the magnetopause the plasma has more velocity component and moves a bit more freely, so the electromagnetic tethers have a greater chance to pick up floating bucket of plasma and generate some useable energy. Now outside the heliopause the scenario is very very different, the plasma has the most velocity and is extremely turbulent as to say, this helps the tethers to collect the maximum amount of plasma from the entire ocean and not from what was able to successfully cross the heliopause and could theoretically according to my calculations; could actually produce enough energy to power the entire satellite.

You can read this in much more detail from my research paper as soon as it is published.

Even though you r using the magnetic approach by using magnets and electric charge, I personally feel that it is a bit more unrealistic in most of the cases due to the weight it adds on. So I would just suggest that you look into the Electromagnetic tether approach as well.

But good going hope you find the solution that you intend to find.