# Concurrent and Countercurrent Cooling in Tubular Reactors with Exothermic Chemical Reactions

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The object of this Demonstration is to observe thermal runaway in a tubular reactor and identify the critical parameters that represent the crossover from a thermally well-behaved reactor to one that exhibits thermal runaway.

[more]
Contributed by: Clay Gruesbeck (March 2017)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Mass balance for reactant :

,

Thermal balance for reactive fluid within the inner pipe:

,

where is the average reactants density , is the heat capacity , is the inner pipe overall heat transfer coefficient , is the radius for the inner pipe , is the coolant temperature , and is the heat of reaction .

Thermal balance for concurrent cooling fluid in the annulus:

.

The equation for countercurrent cooling differs from the above equation by a negative sign because integration is opposite to the direction of flow. Here is the coolant density , is the coolant heat capacity , is the ratio of the velocity of the coolant to reactant fluid, is the outer pipe overall heat transfer coefficient , is the radius of the outer pipe , is the ratio , and is the ambient temperature .

This split boundary value problem is solved with:

, .

, , , , , and ,

with user-selected direction of coolant and values of , and .

Reference

[1] L. A. Belfiore,* Transport Phenomena for Chemical Reactor Design*, Hoboken, NJ: John Wiley & Sons, 2003.

## Permanent Citation