Knowledge card
Boundary-Layer & MHD Assumptions
Mathematical Modelling — Fluid Dynamics & Heat TransferContinuum mechanics; boundary-layer similarity theory
Two-dimensional, incompressible, laminar, homogeneous, unsteady flow with a small magnetic Reynolds number. The induced field, Joule heating, and viscous dissipation are omitted from the baseline energy model; there is no slip between phases.
Dimension I
Definition
What it is — and what it is not
- What it is not
- S1No slip between the nanoparticles and the base fluid (single-phase mixture model).
- Necessary conditions
- S2Two-dimensional, incompressible, laminar, and homogeneous flow.
- S3Small magnetic Reynolds number, so the induced magnetic field is neglected.
- S4Joule heating σ_hnfB²u² and viscous dissipation τ_xyu_y are both omitted from the baseline energy equation; Lorentz momentum damping remains active.
Dimension II
In practice
How to deal with it
No practical guidance recorded yet.
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