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Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation in MP…..

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Page 1: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Analysis of Irreversible Manufacturing Processes

P M V SubbaraoProfessor

Mechanical Engineering Department

Special Parameter to Account Entropy Generation in MP…..

Page 2: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Second Law for A Generalized Manufacturing System

lossenvMFQ

inMFPPW

m

i

matMFH

1

m

i

matMFS

1

n

j

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1,

n

j

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1,

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k

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1,

o

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1,

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lossenvMF

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Q

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MF SSdt

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Page 3: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Model Equations for Generalized Manufacturing System

• Conservation of mass:

o

k

scrapkMF

n

j

prodjMF

m

i

matiMF

MF mmmdt

dm

1,

1,

1,

• First Law

inMFPP

lossenvMF

inMFHS

o

k

scrapkMF

n

j

prodjMF

m

i

matMF

MF WQQHHHdt

dE

1

,1

,1

• Entropy Balance:

o

kMFirr

lossenvMF

HS

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kMF

n

j

prodjMF

m

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matiMF

MF ST

Q

T

QSSS

dt

dS

1,

0,

1,

1,

Page 4: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

SSSF Model Equations for Manufacturing System • Conservation of mass:

01

,1

,1

,

o

k

scrapkMF

n

j

prodjMF

m

i

matiMF mmm

• First Law

01

,1

,1

m

i

inMFPP

lossenvMF

inMFHS

scrapkMF

n

j

prodjMF

m

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matMF WQQHHH

• Entropy Balance:

0,01

,1

,1

,

MFirr

lossenvMF

HS

inMFHS

m

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scrapkMF

n

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prodjMF

m

i

matiMF S

T

Q

T

QSSS

MFirr

HS

inMFHS

m

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scrapkMF

n

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prodjMF

m

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lossenvMF S

T

QSSSTQ ,

1,

1,

1,0

Thermal pollution generated by a Manufacturing Process

Page 5: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Power Consumed by an irreversible Manufacturing System

01

,1

,1

m

i

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lossenvMF

inMFHS

scrapkMF

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m

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MFirr

HS

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m

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matiMF

lossenvMF S

T

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1,

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lossenvMF

inMFHS

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m

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inMFPP QQHHHW

11,

1,

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inMFHS

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n

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m

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matiMF

inMFHS

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matMF

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ST

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QHHHW

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11,

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Page 6: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Vegetable Production System : Jagadishpr , Sonipat

Page 7: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Design : Krishi Vigyan Kendra ,Jagdishpur, Sonipat5KW design with 3.7KW Irrigation Pump

Page 8: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

• Non-Renewable sources of petrol and diesel are not utilized • Whole system is noiseless and does not disturb the

surrounding with sound pollution • Water flowing through the turbine (partial pressure design II)

get oxygenated thereby effecting chemical and biological oxygen demands which have a bearing on self regeneration capacity of the soils [Pawlikewich]

• A pump with a high discharge head could be utilized with this turbines hence Water storage in upper reaches facilitate ground water recharge.

• The efficiency is the major player in power transmission and the water wheel is set to take on the costlier reaction turbines in its efficiency if it is properly worked on.

• The whole irrigation system costs around 700$ range.

ADVANTAGES OF IIT Delhi DESIGN

Page 9: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Effect of Planting methods on total irrigation time (hrs.) and yields of Cauliflower

and Pigeon pea (Quintals /ha) Crops Planting

methodIrrigations Nos.& (Time, hrs)/ I*

Water market Rates total irrigatime Irrigation time used (US$ )

AverageYields (Q/ha)

Value of Ferti use Irrigation the produce Water

Cauliflower

Raised beds

8 (3.0) $53 100 $1100 DAP<70% Drainage no other water ferti used

Flat 6 (5.5) $73 89 $990 20 kg/ha DAP ‘’ no other

Pigeon pea

Raised bed 4 (3.5) $47 223 $890 ‘’ ‘’

Flat 3(7.0) $31 200 $800 ‘’ ‘’

Preliminary results show that farmers using the micro turbine pumped water supplies stand to gain US$ 2.25 / hour of

pumping. Yhereby saving $53-73 in cauliflower and US$ 31-47 in pigeon

pea. Raised bed planting improved the value of the produce by 10

percent.

Page 10: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Efficient Reuse of Low Quality water linked to Micro Hydro

Irrigation charges @ $ 2.25 /h, amounts for savings as in cauliflower US$20/ha and pulse US$40/ ha on an average on the Whole Produce.{( KVK (HAU) , Sonepat,HARYANA,INDIA}

Page 11: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Penstock

Water Wheel

Main Shaft

Bush Bearing

Wooden Base

Grinder adjusting lever

Grinding Wheel

10” Pulley

12” Pulley

Gear Box Generator

Canal

Forbay

New Design

Workshop Powered by Pico-hydel Unit at Naya Gharat , Lacchiwala

Page 12: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Impact of System irreversibility on actual Power consumption

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m

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STQT

TQ

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1,0

1,0,

1,0,

The quantity H-TS is backbone of thermo-economic/ecological analysis and is referred to as the Gibbs free energy.

Page 13: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Thermo-economics/Thermo-ecology

• The quantity H-TS is known as the Gibbs free energy.

• In manufacturing system, a different quantity appears, H - T0S.

• The difference between this and the same quantity evaluated at the reference state is called flow exergy, B.

00 TSHSTH

• Exergy represents the maximum amount of work that could be extracted from a system as it is reversibly brought to equilibrium with a well-defined environmental reference state.

Page 14: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Exergy

• In general, the bulk-flow terms may include contributions that account for both the physical and chemical exergies.

• Hence = ph+ ch, as well as kinetic and potential exergy.

• The physical exergy is that portion of the exergy that can be extracted from a system by bringing a given state to the “restricted dead state” at a reference temperature and pressure (T0,p0).

• The chemical exergy contribution represents the additional available energy potential that can be extracted from the system at the restricted dead state by bringing the chemical potentials at that state (T0, p0) to equilibrium with its surroundings at the “ultimate dead state”.

Page 15: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Dead State

• Consider a quantity of mass that undergoes a steady-state process.

• With a given state for the mass entering the control volume, the reversible work will be a maximum when this mass leaves the control volume in equilibrium with the surroundings.

• This means that as the mass leaves the control volume, it must be at the pressure and temperature of the surroundings, be in chemical equilibrium with the surroundings, and have minimum potential energy and zero velocity.

Page 16: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Dead State

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Page 17: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Flow Exergy Balance Equation

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00 TshmSTH matMF

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Page 18: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Dead State Definition

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matMF

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000scrapMF

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matMF TshTshTsh

Page 19: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Actual and Ideal Power Consumption in terms of Flow exergy

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Second Law efficiency of a Manufacturing System

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Page 20: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation

Degree of Perfection

• DoP is defined as ratio of Exergy rate of useful products to Exergy flow rate of input material

material

prod

PMF

Page 21: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation
Page 22: Analysis of Irreversible Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department Special Parameter to Account Entropy Generation