Encyclopedia

E

Encyclopedia

12 parents · 35 chains

Knowledge card

Wall Velocity U_w

Mathematical Modelling — Fluid Dynamics & Heat TransferContinuum mechanics; boundary-layer similarity theory

LT⁻¹

Symbol

Uw

Tangential surface velocity (m/s), set by the stretching rate and streamwise position.

Main equation
Level 0 of 2
Brief — named quantities
About levels

Why the levels load one at a time

Only level 0 travels with this article; the expansion runs to level 2. The complete expansion is several megabytes, so deeper levels are fetched one at a time when you ask for them.

To go deeper still, open any quantity in the reading as its own concept card — it carries its own derivation and its own depth ladder.

Dimension:LT⁻¹ (m s⁻¹)Maths:ℝ scalar(·, ·) — A single number (real numbers), depending on another quantity, another quantityDimensionally verifiedMathematically verifiedFully reduced to base quantities

In words:timesdivided by.

Equation Workspace

Set known values, calculate unknowns, inspect dependencies, and run numerical solves.

Calculator

Equation workspace

Set the values you know, then calculate the remaining quantities in Wall Velocity U_w.

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: Uw

“Uw” 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.

Also known as:U_w

Variable

Dimension I

Definition

What it is — and what it is not

What it is
  • S1The tangential wall (surface) velocity (m/s).
Attributes
  • S2Set by the stretching rate and streamwise position, growing in time.

Dimension II

In practice

How to deal with it

No practical guidance recorded yet.

Sub-topics 3

Prerequisite

References

  1. Crane (1970), ZAMP 21, 645–647.

    • 1.1

      ZAMP 21, 645–647 — The linearly stretching wall U_w ∝ x and its exact boundary-layer solution — the steady parent of the U_w = cx/(1−γt) family.

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