# Hydrodynamic Resistance Calculator

Here is a simple online calculator to calculate the hydrodynamic resistance. It is also referred to as Microfluidics / Hydraulic Resistance. Hydrodynamic Resistance (R_{h}) is related to the flow rate Q in a channel which is proportional to the applied pressure drop ΔP and is given as:ΔP = R_{h}Q.

In the calculator below enter the values for dynamic viscosity, circular cross section length and radius of the channel and click calculate to calculate the hydrodynamic resistance.

## Microfluidics / Hydraulic Resistance Calculation

Here is a simple online calculator to calculate the hydrodynamic resistance. It is also referred to as Microfluidics / Hydraulic Resistance. Hydrodynamic Resistance (R_{h}) is related to the flow rate Q in a channel which is proportional to the applied pressure drop ΔP and is given as:ΔP = R_{h}Q.

In the calculator below enter the values for dynamic viscosity, circular cross section length and radius of the channel and click calculate to calculate the hydrodynamic resistance.

Code to add this calci to your website

#### Formula:

R_{h} = (8 x μ x L) / (3.14 x (R^{4}))
**Where,**
R_{h} = Hydrodynamic / Microfluidics / Hydraulic resistance
μ = Dynamic Viscosity
L = Circular Cross Section Length
R = Circular Cross Section Radius
For an object which is completely immersed, the total coefficient of microfluidics / hydraulic resistance (C_{h}) is given as (C_{h}) = R_{h} / Displacement.

#### Example

**Let us consider an example to calculate the microfluidics or hydraulic resistance with the given values,**

Dynamic viscosity μ = 20

Circular cross section length L = 18

Circular cross section radius R = 8

Hydrodynamic Resistance = R_{h} = (8 x μ x L) / (3.14 x (R^{4}))

R_{h} = (8 x 20 x 18) / (3.14 x (8^{4}))

R_{h} = 0.2238
Therefore, the value of R_{h} is 0.2238.