Solving Riemann Sum for "Deformation of Water by Magnetic Field

Click For Summary
SUMMARY

The forum discussion centers on recreating the "Deformation of Water by Magnetic Field" experiment as detailed in the paper by Chen et al. The primary challenge identified is the calculation of the depression of the water surface using a Riemann sum, specifically the determination of values for Δh. The user has successfully obtained Δy values but is seeking guidance on how to transition from these to the required Δh values for their experiment. Clear steps and equations from the paper are necessary for accurate replication of the experiment.

PREREQUISITES
  • Understanding of Riemann sums in calculus
  • Familiarity with the principles of fluid dynamics
  • Basic knowledge of magnetic field effects on fluids
  • Ability to interpret scientific research papers
NEXT STEPS
  • Review the mathematical derivation of Riemann sums in fluid dynamics
  • Study the specific equations used in Chen et al.'s paper for Δh calculation
  • Explore experimental setups for magnetic field effects on water
  • Investigate numerical methods for approximating integrals related to fluid deformation
USEFUL FOR

Researchers, physics students, and experimental physicists interested in fluid dynamics and magnetic field interactions with liquids will benefit from this discussion.

subzero0137
Messages
91
Reaction score
4
I'm not sure if this is the right place to post this in, but I'm trying to recreate the "Deformation of water by a magnetic field" experiment by Chen et al. The PDF version of the paper can be accessed via Google (for some reason it won't let me provide a direct link).

On the 2nd page of the paper, they do a Riemann sum to calculate the value for the depression of the water surface as a function of position, but I can't figure out how they got those values for Δh. For my experiment I've managed to obtain the Δy values, but I don't know how to go from there. Any help would be appreciated.
 
Last edited:
Physics news on Phys.org
subzero0137 said:
I'm not sure if this is the right place to post this in, but I'm trying to recreate the "Deformation of water by a magnetic field" experiment by Chen et al. The PDF version of the paper can be accessed via Google (for some reason it won't let me provide a direct link).

On the 2nd page of the paper, they do a Riemann sum to calculate the value for the depression of the water surface as a function of position, but I can't figure out how they got those values for Δh. For my experiment I've managed to obtain the Δy values, but I don't know how to go from there. Any help would be appreciated.

You should type out the few confusing equations/expressions.
 

Similar threads

Graduate Magnetic Field Computation from Thick Rectangular Conductor
  • · Replies 9 ·
Replies
9
Views
5K
Undergrad Progress In Calculating The HLbL Contribution To Muon g-2
  • · Replies 0 ·
Replies
0
Views
3K
Graduate Numerically Solving Scalar Propagation in Curved Spacetime
  • · Replies 1 ·
Replies
1
Views
2K
Graduate "The 7 Strangest Coincidences in the Laws of Nature" (S. Hossenfelder)
  • · Replies 62 ·
3
Replies
62
Views
12K
Graduate How does Bell's 1964 theorem address detector independence and local realism?
  • · Replies 18 ·
Replies
18
Views
2K
Graduate How is radio wave propagation modelled in seawater?
  • · Replies 12 ·
Replies
12
Views
11K
Chemically regenerating my auto's catalytic converter?
  • · Replies 19 ·
Replies
19
Views
10K
Physical Chemistry books (Thermodynamics/Statistical Thermodynamics/Kinetics/QM)
  • · Replies 1 ·
Replies
1
Views
12K
Key papers in computational neuroscience
  • · Replies 1 ·
Replies
1
Views
12K
The Scientist as Hero - or not
  • · Replies 1 ·
Replies
1
Views
4K