Refrigeration Cycle

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Refrigeration Cycle

Reading

11-1 → 11-7, 11-9

Problems

11-11, 11-46, 11-49, 11-103

Definitions

• the 1st law of thermodynamics tells us that heat flow occurs from a hot source to a cooler sink, therefore, energy in the form of work must be added to the process to get heat to flow from a low temperature region to a hot temperature region.

• refrigeration cycles may be classified as

– vapour compression

– gas compression

• refrigerators and heat pumps have a great deal in common. The primary difference is in the manner in which heat is utilized.

– Refrigerator ↓ C

| {z } takes heat f rom

→ H

|{z} transf ers to

– Heat Pump C

|{z} takes heat f rom

→ H ↑

| {z } transf ers to

1

The coefficient of performance (COP) is given by

COP = benef it cost where the benefit for a refrigeration process is the cooling load given as Q

L

. This is the net benefit, i.e. heat is removed from the cold space. For a heat pump, the benefit is the heat added to the hot space, i.e.

Q

H

.

COP ref rig

=

Q

L

W in

=

Q

L

Q

H

− Q

L

=

Q

H

1

− 1

Q

L

=

1

T

H

( s

4

T

L

( s

3

− s

1

)

− 1

− s

2

)

=

T

H

T

L

1

− 1

T

L

=

T

H

− T

L

COP heat pump

=

Q

H

W in

=

Q

H

Q

H

− Q

L

1

=

Q

L

1 −

Q

H

1

=

T

L

1 −

T

H

=

T

H

T

H

− T

L

2

Vapour Compression Refrigeration Cycle

Expansion

Valve sat. liquid

Room Air

Q

H

Condenser superheated vapour compressor

gas

3

2 phase

Evaporator

Food

Q

L

sat. vapour

3

Refrigeration Process

Process

1-2s:

2s-3:

3-4

4-1

Description

A reversible, adiabatic (isentropic) compression of the refrigerant.

The saturated vapour at state 1 is superheated to state 2.

⇒ w c

= h

2 s

− h

1

An internally, reversible, constant pressure heat rejection in which the working substance is desuperheated and then condensed to a saturated liquid at 3. During his process, the working substance rejects most of its energy to the condenser cooling water.

⇒ q

H

= h

2 s

− h

3

An irreversible throttling process in which the temperature and pressure decrease at constant enthalpy.

⇒ h

3

= h

4

An internally, reversible, constant pressure heat interaction in which the working fluid is evaporated to a saturated vapour at state point 1. The latent enthalpy necessary for evaporation is supplied by the refrigerated space surrounding the evaporator.

The amount of heat transferred to the working fluid in the evaporator is called the refrigeration load.

⇒ q

L

= h

1

− h

4

4

Common Refrigerants

There are several fluorocarbon refrigerants that have been developed for use in VCRC.

R11

R12

R22

R134a

R141b

Ammonia

R744

R290

CCl

2

F

2 dichlorofluoromethane

- used for refrigeration systems at higher temperature levels

- typically, water chillers and air conditioning

CHClF

2 has less chlorine, a little better for the environment than R12

- used for lower temperature applications

CF H

2

CF 3 tetrafluorethane - no chlorine

- went into production in 1991

- replacement for R12

C

2

H

3

F Cl

2 dichlorofluoroethane

N H

3 corrosive and toxic

- used in absorption systems

CO

2 propane behaves in the supercritical region

- low efficiency combustible

5

Designation Chemical Ozone Depletion Global Warming

Formula Potential 1 Potential 2

Ozone Depleting & Global Warming Chemicals

CFC-11

CFC-12

CFC-13

CFC-113

CFC-114

CFC-115

Halon-1211

Halon-1301

Halon-2402 carbon tetrachloride methyl chloroform nitrous oxide

CCl

3

F

CCl

2

F

2

CClF

3

C

2

F

3

Cl

3

C

2

F

4

Cl

2

C

2

F

5

Cl

1

CF

2

ClBr

CF

3

Br

C

2

F

4

Br

2

CCl

4

CH

3

CCl

3

N

2

O

1

0.89

0.81

0.69

0.32

2.2-3.5

8-16

5-6.2

1.13

0.14

3,400

7,100

13,000

4,500

7,000

7,000

4,900

1,300

270

Ozone Depleting & Global Warming Chemicals - Class 2

HCFC-22

HCFC-123

HCFC-124

HCFC-125

HCFC-141b

HCFC-142b

CHF

2

Cl

C

2

HF

3

Cl

2

C

2

HF

4

Cl

C

2

HF

5

C

2

H

3

F Cl

2

C

2

H

3

F

2

Cl

0.048

0.017

0.019

0.000

0.090

0.054

Global Warming, non-Ozone Depleting Chemicals carbon dioxide methane

HFC-125

HFC-134a

HFC-152a

CO

2

CH

4

CHF

2

CF

3

CF H

2

CF

3

CH

3

CHF

2 perfluorobutane perfluoropentane perfluorohexane

C

4

F

10

C

5

F

12

C

6

F

14 perfluorotributylamine N ( C

4

F

9

)

3

0

0

0

0

0

0

0

0

0

1,600

90

440

3,400

580

1800

1

11

90

1,000

2,400

5,500

5,500

5,100

4,300

1 - relative to R11

2 - relative to CO

2

6

Cascade Refrigeration System

• two or more vapour compression refrigeration cycles are combined

• used where a very wide range of temperature between T

L and T

H is required

Advantages

• the refrigerants can be selected to have reasonable evaporator and condenser pressures in the two or more temperature ranges

Q

L

( ↑ )

COP =

W net

( ↓ ) overall ( ↑ )

7

Absorption Refrigeration System

Differences between an absorption refrigeration system and a VCRC

VCRC

• vapour is compressed between the evaporator and the condenser

• process is driven by work

Absorption RS the refrigerant is absorbed by an absorbent material to form a liquid solution

• heat is added to the process to retrieve the refrigerant vapour from the liquid solution

• process is driven by heat

8

Process

liquid ammonia

Room Air

Q

H

Condenser

Expansion

Valve ammonia vapour only

Source of

Heat

Q

*

H

Generator weak ammonia water solution cold regenerator

2 phase

Evaporator

Food

Q

L dry vapour

Absorber cold sink

Q

*

L strong ammonia water solution pump

9

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