How to Calculate Velocity of Water through a Magnetohydrodynamic Thruster?

  • Context: Graduate 
  • Thread starter Thread starter Superposed_Cat
  • Start date Start date
  • Tags Tags
    Magnetohydrodynamics
Click For Summary
SUMMARY

Calculating the velocity of water through a magnetohydrodynamic (MHD) thruster requires a comprehensive understanding of fluid dynamics, specifically the Navier-Stokes equations, modified to include magnetic body forces. Accurate calculations necessitate the application of Ampere's Law and potentially a species evolution equation to account for fluid ionization. Implementing these equations demands advanced computational simulations, as the problem is complex and not easily solvable with basic analytical methods.

PREREQUISITES
  • Understanding of Navier-Stokes equations
  • Familiarity with Ampere's Law
  • Knowledge of fluid ionization processes
  • Experience with computational fluid dynamics (CFD) simulations
NEXT STEPS
  • Research computational fluid dynamics software for MHD simulations
  • Study advanced fluid dynamics focusing on magnetohydrodynamics
  • Learn about species evolution equations in fluid mechanics
  • Explore numerical methods for solving Navier-Stokes equations
USEFUL FOR

Engineers and researchers in the fields of fluid dynamics, magnetohydrodynamics, and computational simulations, particularly those working on thruster design and optimization.

Superposed_Cat
Messages
388
Reaction score
5
Hey, I was trying to find out how to calculate velocity of water through a magetohydrodynamic thruster given current, dimensions, pure water etc and google did not help me in my search, any help appreciated.
 
As far as I know there really is no easy solution to such a problem and you will likely require a substantially complex computer simulation. You would need a series of fluid flow equations that are essentially the Navier-Stokes equations with an added term for the body force added by the magnetic field. You would also need Ampere's Law, if I recall correctly. If you wanted an accurate answer you might need to have a species evolution equation that tracks the ionization of your fluid so that you can get an accurate body force (though I suppose you could probably assume that to be constant). Then coding up and solving those equations in your given system will be required, which is not trivial.

Someone with more MHD knowledge can correct me if I am wrong anywhere up there, as I don't generally deal with the "M" portion of that field.
 

Similar threads

Graduate Resistance Force on Gas in Magnetohydrodynamic Generator
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Pressure required for water discharge
  • · Replies 17 ·
Replies
17
Views
2K
Graduate Making a Magnetoplasmadynamic (Plasma) Thruster?
  • · Replies 15 ·
Replies
15
Views
4K
Ionic thruster high school science project
  • · Replies 2 ·
Replies
2
Views
847
Sci-fi engine thrust calculations
  • · Replies 37 ·
2
Replies
37
Views
10K
High School Energy transfer water > air in a greenhouse
  • · Replies 5 ·
Replies
5
Views
589
Undergrad Apollo 11: Torque & Thrust of LM RCS Systems
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad How can electrons flow all the way through the circuit?
  • · Replies 21 ·
Replies
21
Views
3K
Graduate Finding potential of a dipole outside of a sphere
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Question about acoustics -- Wine glasses filled with varying amounts of water
  • · Replies 17 ·
Replies
17
Views
4K