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Knowledge card
MHD Lorentz Force Term
Mathematical Modelling — Fluid Dynamics & Heat TransferContinuum mechanics; boundary-layer similarity theory
Symbol
The retarding Lorentz body force opposing the motion; this momentum sink is distinct from Joule heating in the energy balance.
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In words:times.
Equation Workspace
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Calculator
Equation Workspace
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Equation workspace
Set the values you know, then calculate the remaining quantities in MHD Lorentz Force Term.
Domain Analysis
Unit status, dimensional trails, per-step checks, and custom unit expressions.
Domain Analysis
Unit status, dimensional trails, per-step checks, and custom unit expressions.
Try your own — the unit calculator
Ever wondered whether a formula “adds up”? This tool answers one plain question: do the units match? Pick a couple of quantities (distance, time, a speed…), join them with ×, ÷, +, or =, and press Run. It works out the resulting unit — for example distance ÷ time gives a speed, LT⁻¹ (metres per second) — and flags anything that can’t be right, like adding a length to a time.
Reads as: J×B
“J×B” is analysed by expanding its full defining equation (its children and their relations), not as a bare symbol. Use Check this concept’s units above for the same result.
Mathematical Analysis
Object type, lawful operations, conditions, comparisons, and derivation-step checks.
Mathematical Analysis
Object type, lawful operations, conditions, comparisons, and derivation-step checks.
Dimension I
Definition
What it is — and what it is not
- What it is
- S1The magnetic body force from a transverse field acting on the conducting fluid.
- Boundary of meaning
- S2Valid only at a small magnetic Reynolds number, where the induced field is negligible. [1.2]
- Attributes
- S3Negative because it opposes the motion (a retarding Lorentz force). [1.1]
- Common misconceptions
- S4This term is the Lorentz BODY FORCE, not “Ohmic heating”: Ohmic (Joule) dissipation σB²u² belongs to the energy equation and is neglected in this model.
Dimension II
In practice
How to deal with it
No practical guidance recorded yet.