CHE-45

Sherwood number

Mass-transfer Nusselt analogue.

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GoverningSherwood number

Governing equation

Sh=k_L L/\mathcal{D}

where

kL: kL (m/s)
L: L (m)
D: D (m²/s)
Sh: Sherwood number (—)

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-45 — Sherwood number) is the form associated with Sherwood number. Working symbols: $kL$ , $L$ , $D$ $\rightarrow$ $Sh$ . Mass-transfer Nusselt analogue. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

Sh

from

kL

L

D

in Chemical engineering via

Sh=k_L L/\mathcal{D}

Mass-transfer Nusselt analogue. 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

kL = 1.000e-4\,\mathrm{m/s}

L = 0.010\,\mathrm{m}

D = 1.000e-9\,\mathrm{m^{2}/s}

, the governing relation

Sh=k_L L/\mathcal{D}

yields

Sh = 1000.000\,\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

kL kL0.0001 m/sL L0.01 mD D1e-9 m²/s

Outputs

Sherwood number Sh1000.000 —

Reading speed

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Narration of this film

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

Mass-transfer Nusselt analogue. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube