Encyclopedia

E

Encyclopedia

Knowledge card

The energy ODE retains both advection terms

For T_r−T∞ proportional to x, the canonical reduced balance is k₁θ″ + fθ′ − f′θ − A(2θ+ηθ′/2) = 0. The root must include −f′θ, not merely define that term elsewhere.

Dimension I

Definition

What it is — and what it is not

What it is
  • S1Correction and justification — For T_r−T∞ proportional to x, the canonical reduced balance is k₁θ″ + fθ′ − f′θ − A(2θ+ηθ′/2) = 0. The root must include −f′θ, not merely define that term elsewhere. [1.1]

Dimension II

In practice

How to deal with it

No practical guidance recorded yet.

Applies pattern

References

  1. Ishak, Nazar & Pop (2009), Meccanica

    • 1.1

      Similarity energy balance for an x-dependent thermal scale — For T_r−T∞ proportional to x, the canonical reduced balance is k₁θ″ + fθ′ − f′θ − A(2θ+ηθ′/2) = 0. The root must include −f′θ, not merely define that term elsewhere.

copyright© owned by Webiscopic Sdn. Bhd. 2026. All right reserved.
vproductionmain @ 5d8445a3