CHE-47

Effectiveness η

Isothermal first-order pellet.

Reading speed

GoverningEffectiveness η

Governing equation

\eta=\tanh\phi/\phi

where

phi: phi (—)
eta: Effectiveness η (—)

Lecture brief

Historical brief

From CSTR/PFR mole balances and Arrhenius rates to McCabe–Thiele stages and NTU exchangers, chemical engineering is conservation plus equilibrium. The lab is that design arithmetic. This sheet (CHE-47 — Effectiveness η) is the form associated with Effectiveness η. Working symbols: $phi$ $\rightarrow$ $eta$ . Isothermal first-order pellet. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

eta

from

phi

in Chemical engineering via

\eta=\tanh\phi/\phi

Isothermal first-order pellet. Use it when a real chemical engineering question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

phi = 2.000\,\mathrm{—}

, the governing relation

\eta=\tanh\phi/\phi

yields

eta = 0.482\,\mathrm{—}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

phi phi2 —

Outputs

Effectiveness η eta0.482 —

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Isothermal first-order pellet. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube