Ericsson cycle | Efficiency, P-V & T-S Diagrams | Heat & Work Table

By | May 3, 2019

Ericsson cycle is a thermodynamic cycle upon which an Ericsson Engine works. Ericsson engine is a closed cycle regenerative heat engine. It works on either air or any other gas.

Ericsson cycle is invented by John Ericsson.

Below are P-V and T-S Diagrams of the Ericsson Cycle.

Ericsson cycle P-V Diagram Ericsson cycle T-S Diagram

Ericsson Cycle is comprised of four processes

Process 1-2

It is isothermal heat addition process. Volume of the system increases due to isothermal heat addition. A drop in pressure also happens in this process.

Process 2-3

It is isobaric heat removal process. Both temperature and volume of the system decreases due to isobaric heat removal.

Process 3-4

It is isothermal heat removal process. It is a compression process hence pressure of the system increases and volume decreases.

Process 4-1

It is isobaric heat addition process. Both temperature and volume of the system increases due to isobaric heat addition.

Below is the table which shows heat and work interactions of the Ericsson cycle, along with the change in the internal energy.

Process Change in Internal Energy Heat Interaction Work Interaction
Process 1-2 0 RT1 ln(V2/V1) RT1 ln(V2/V1)
Process 2-3 CP(T3-T2) (h3 – h2) P2(V3-V2)
Process 3-4 0 RT3 ln(V4/V3) RT3 ln(V4/V3)
Process 4-1 CP(T1-T4) (h1 – h4) P1(V1-V4)

Note: Negative value of heat interaction indicates heat rejected by the system and positive value of heat interaction indicates heat added to the system. Positive value of work interaction indicates work done by the system and negative value of work interaction indicates work done on the system.

Efficiency of Ericsson Cycle

Efficiency of the Ericsson Cycle is the ratio of work output to the heat input.

Work output = [RT1 ln(V2/V1) + CP(T1-T4)] – [CP(T2-T3) + RT3 ln(V3/V4)]

Heat Input = RT1 ln(V2/V1) + CP(T1-T4)

Efficiency = Work Output/Heat Input

After putting values of heat input and work output in the above formula, we get

η = 1 – [(CP(T2-T3) + RT3 ln(V3/V4))/(RT1 ln(V2/V1) + CP(T1-T4))] … (1)

Since, Ericsson cycle is a regenerative cycle hence heat rejected in process 2-3 is used for heat addition in process 4-1. It means CP(T2-T3) gets cancelled by CP(T1-T4) hence, we can replace these values by zero in equation (1).

Also, V3/V4 = V2/V1

Hence, new thermal efficiency (after solving equation (1))

η = 1 – (T3/T1)

Which is equal to Carnot Cycle efficiency.

Featured image source

By Orignal: Viola sonansRetouch: MichaelFrey (talk) – Own work, CC BY-SA 2.0 de, https://commons.wikimedia.org/w/index.php?curid=52687648

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.