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# Sherwood Number Calculator

Sherwood Number is termed as a dimensionless number which is used in the study of mass- transfer operation. The Sherwood Number represents the ratio of convective to diffusive mass transport.

Table of Contents:

## Formula

**Sherwood Number :**

Sh = kl/D

**Mass Transfer Coefficient :**

k = ShD/L

**Characteristic Length :**

L = ShD/k

**Diffusion Coefficient :**

D = kl/Sh

**Where,**

Sh = Sherwood Number,

k = Mass Transfer Coefficient,

L = Characteristic Length,

D = Diffusion Coefficient.

The Sherwood Numbers is defined as a relationship between a mass transfer coefficient and a characteristic length, such as pipe diameter and a coefficient of diffusion. Sherwood Number is named in the honor of Thomas Kilgore Sherwood.

**Example:**

Calculate the Sherwood Number for the given details.

Mass Transfer Coefficient (k) = 5 m/s

Characteristic Length (L) = 15 m

Diffusion Coefficient (D) = 10 m^{2}/s

**Solution:****Apply Formula:**

Sh = kl/D

Sh = 5*15/10

Sh = 7.5**Sherwood Number (Sh) = 7.5**

**References: **

- Definition of Sherwood number | Thermopedia.