Knowledge card
Dimensionless ODE System
Mathematical Modelling — Fluid Dynamics & Heat TransferContinuum mechanics; boundary-layer similarity theory
Symbol
ODEThe reduced equations in η: a third-order momentum ODE coupled to a second-order energy ODE, with their transformed boundary conditions.
Mathematics
Essence
S1A third-order momentum ODE for f coupled to a second-order energy ODE for θ.
Dimension I
Definition
What it is — and what it is not
- What it is
- S2The reduced ordinary differential equations in η with their boundary conditions.
Dimension II
In practice
How to deal with it
- Consequences
- S3Because the two ODEs share f and θ, they must be solved simultaneously as one BVP.
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