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1




Development of a Laboratory
Scale Reactor for Biomass
Gasification
11th ME Graduate Student Conference
Louisiana State University, April 21, 2012




Mandeep Sharma
M.S. Candidate   (Expected: December 2012)



Faculty Advisor: Dr. Ingmar Schoegl, ME, LSU
2




Outline
•   Objective
•   Background Information
      •   Conical Spouted Bed (CSB) Reactor
•   Two Phases
      •     Cold Flow Study
      •     Hot Flow Study
          – Evaluation of favorable operating conditions
          – Implementation to CSB reactor
•   Experimental Setup
•   Results and Discussion
•   Acknowledgement
3




  Objective
    To develop a laboratory scale CSB reactor facility for the
       purpose of producing H2 rich synthesis gas from various
       biomass wastes* and other sustainable sources† via
       thermo-chemical routes of gasification /reforming.


   H2 rich synthesis gas
    mainly consists of H2 and CO, and traces of CO2, H2O and
       sulfur compounds.

    Clean H2 rich syngas has applications in fuel cells, gas
       turbines and engines for clean and efficient power generation.


Initial Stage biomass*: Glycerol, long Term biomass*: others and Validation Tests with
Propane †
4




Glycerol
•   Among the various types of biomass wastes, glycerol (C3H8O3),
    a byproduct of biodiesel production, has been considered an
     excellent candidate for H2 production.

•   Only in the US, biodiesel production has increased dramatically
    from 500,000 gallons in 1999 to 70 million gallons in 2005 [1].

•   For every 9 kg of biodiesel produced, about 1 kg of a crude
    glycerol by-product is formed.

•   Glycerol is a potential feedstock, for hydrogen rich syngas
    production because one mole of glycerol can produce up to four
    moles of hydrogen.


                        [1]. National Biodiesel Board, 2006.
5




CSB Reactor
Development of a CSB reactor divides into two phases:

•    Cold Flow Studies
     • Focus on Hydrodynamic Behavior for the purpose of
       establishing stable spouting limits

•    Hot Flow Studies (work in progress)

a.   Focus on evaluation of favorable operating condition for H2
     rich syn gas generation by conducting thermochemical
     analysis and simple plug-flow reactor experiments.

b.   Results from part A guides the development of the CSB
     reactor.
6




Brief Introduction
Conical Spouted Bed (CSB) Reactor
•   Mathur and Gishler initially introduced spouted beds in 1954
    as an alternative method for drying moist wheat grains.

•   Recent applications include pyrolysis of solid wastes, e.g.
    rice husk, sawdust, plastic wastes, scrap tires, etc.

•   Potential for syngas gas generation from liquid biomass
    wastes such as glycerol. (Almost no data is available)

Advantages of CSB reactor
• Perfect mixing
• Very efficient heat transfer because of cyclic movement
• Very short residence time
• Suitable for sticky, moist, irregular shaped bed material
7




  Conical Spouting Bed
  Contacting of solids with fluid by injecting a steady axial jet of
  fluidizing medium (air/N2/steam).

Schematic of CSB actual reactor model   Spouting behavior of CSB cold flow model
8




I. Cold Flow Studies
•   Cold flow studies were conducted to establish stable
    spouting range. Stable spouting occurs over a specific range
    of gas velocity called min. spouting velocity (ums)o.

                      Different Spouting Regimes
9




CSB Cold Flow Setup
Experiments were carried out at atmospheric
conditions using Alumina powder (ρ=3960 Kg/m3)
as bed material and air as spouting gas.




 Schematic of experimental set-up: (1) air manifold, (2) air filter (3), control valve, (4/5)
 rotameters, (6) air inlet pipe, (7/8) pressure taps at bed inlet and outlet, (9) U-tube
 manometer, (10) conical contactor, (11) bed material, and (12) cylindrical column.
10




Experiment

              Summary of operating parameters tested




       *

        *




* Indicates the best set of testing parameters which shows uniform cyclic
 behavior of CSB.
11




Effect of System Parameters on (ums)o

        Effect of different Ho, Do and dp on (ums)o
12




Evaluation of all existing correlations for (ums)o
   Source                           Correlation                          Eqn.
Markowski
                                                                        (1)
(1983)
Choi (1992)                                                             (2)
Gorshtein
                                                                        (3)
(1964)
Mukhlenov
                                                                        (4)
(1965)
Tsvik (1967)                                                            (5)

Olazar (1992)                                                           (6)

Olazar (1996)                                                           (7)
Bi (1997) (for
                                                                        (8)
Db/Do ≥1.66)



 They used CSBs which were significantly larger than the model investigated
 in present study
13




…Evaluation of Correlations (cont’d)
Correlations‟ predictions comparison with experimental results
for a particular set of operating parameters
14




Poor performance of correlations:
15




Proposed Correlation


   Proposed correlation shows excellent agreement with experiments
                           75                       o
                                    Present Study, 60 cone angle
                           70                                      + 16.3 %
                                      0.483 mm dp, 6.350 mm Do
                           65         0.483 mm dp, 4.572 mm Do
                           60         0.483 mm dp, 3.302 mm Do
                           55         1.092 mm dp, 6.350 mm Do
   Predicted (ums)o, m/s




                           50         1.092 mm dp, 4.572 mm Do                - 17.15 %
                           45         1.092 mm dp, 3.302 mm Do
                           40
                           35
                           30
                           25
                           20
                           15
                           10
                            5
                            0
                                0   5   10 15 20 25 30 35 40 45 50 55 60 65 70 75
                                               Experimental (ums)o, m/s
16




II. Hot Flow Studies (work in progress)
• Need to evaluate favorable operating conditions (optimum
reactants feed ratio, temperature range etc.) for H2 rich syngas
generation.

•  For validation purposes, first experiments will be tested on
simple plug flow reactor which uses propane as a supplying
fuel, while additional tests will use glycerol as a renewable fuel
source.

• In both cases, the selection of operating conditions is guided
by results from thermodynamic analysis.

• The knowledge of favorable operating conditions (through
thermodynamic analysis and plug flow reactor experiments) is
required for the further development of CSB reactor facility.
17




                 Schematic for Plug Flow Reactor Test Facility




C3H8 : N2 for dry reforming (DR)             C3H8 : N2 : Air for partial oxidation reforming (POR)
C3H8 : N2 : Steam for steam reforming (SR)   C3H8 : Air : Steam for Autothermal reforming (ATR)
18




Thermodynamic Analysis (work in progress)
• As a theoretical study, reaction kinetics, reactor design and
operation are not considered here.

• Initial tests are performed at T = 1200 K and P = 1 atm in
order to find optimum reactants ratio.

• A code written in MATLAB environment has been developed
using the „Cantera’ software library (object oriented software tools for
problems involving chemical kinetics, thermodynamics and transport properties;
Goodwin, 2006).

• Cantera‟s chemical equilibrium solver* , which involves
nonstoichiometric approach (element potential method), is used.

• ‘GRI-Mech V. 3.0’, (53 species) database have been used to
evaluate the thermodynamic properties of the chemical species
considered in the model.
 *Cantera   uses a damped Newton method to solve a set of nonlinear algebraic equations(=no. of elements, not
species).
19




Thermochemical conversion routes

Dry Reforming (DR):
fuel(CnHmOp) + carrier gas(N2/He) ⇒ H2 + CO2


Partial Oxidation (PO):
fuel(CnHmOp) + N2 + air ⇒ H2 + CO2 + N2 ; (Exothermic)


Steam Reforming (SR):
fuel(CnHmOp) + N2 + steam ⇒ H2 + CO2 + N2 ; (Endothermic)


Auto-thermal Reforming (ATR):          ATR = PO + SR
fuel(CnHmOp) + air + steam ⇒ H2 + CO2 + N2 ; (Exothermic)


last three cases will be discussed next…
20




Ternary system Plot Reading
21




… some preliminary results
   Study 1: C3H8:N2:Steam ternary reaction system (SR case)


    Directions for reading ternary plots:




 Plot(a):∆T (Tadiabatic - Treactor)         Plot(b): H2 mole fraction
22




Equillibrium analysis (more preliminary results)

         Study 1: C3H8:N2:Steam ternary reaction system




  Plot(c): CO mole fraction             Plot(d): C mole fraction
23




Equillibrium analysis (more plots)
         Study 1: C3H8:N2:Steam ternary reaction system




  Plot(e): H2O mole fraction            Plot(f): N2 mole fraction
24




… some preliminary results
      Study 2: C3H8:Air:N2 ternary reaction system (PO case)




  Plot(a): ∆T (Tadiabatic - Treactor)     Plot(b): H2 mole fraction
25




Equillibrium analysis (more plots)
          Study 2: C3H8:Air:N2 ternary reaction system




  Plot(c): CO mole fraction             Plot(d): CO mole fraction
26




Equillibrium analysis (more plots)
          Study 2: C3H8:Air:N2 ternary reaction system




  Plot(e): H2O mole fraction            Plot(f): N2 mole fraction
27




… some preliminary results
  Study 3: C3H8:Air:Steam ternary reaction system (ATR case)




  Plot(a): ∆T (Tadiabatic - Treactor)   Plot(b): H2 mole fraction
28




Equillibrium analysis (more plots)
        Study 3: C3H8:Air:Steam ternary reaction system




  Plot(c): CO mole fraction            Plot(d): C mole fraction
29




Equillibrium analysis (more plots)
        Study 3: C3H8:Air:Steam ternary reaction system




  Plot(e): H2O mole fraction           Plot(f): N2 mole fraction
30




Conclusions

I. Cold Flow Studies
• Available correlations for calculating min. spouting velocity
have shortcomings for small-sized laboratory scale CSB
studies.

• Developed Simple empirical correlation for (ums)o showed
excellent agreement with experimental findings.

• Cold flow hydrodynamic study provides a foundation for
design of hot flow CSB reactor facility.

• Hot flow tests are also needed to carefully examine the
stable spouting at high temperatures.
31




…Conclusions
II. Hot Flow Studies
•   From thermo-chemical equilibrium analysis, the optimum
    ratio of reactants in each reforming case can be decided
    based on optimum H2 mole fraction in syngas generation.

•   PO and ATR produces more H2 mole fraction as compared to
    SR, but steam mitigates the effect of carbon formation.

•   Further analysis is required to study the effect of
    temperature, reactants ratio on mole fraction of syngas
    species for propane and glycerol fuels. Experiment tests are
    required to verify the theoretical results.

•   Results from this study will lay the foundation for follow-up
    research, where similar tests will be performed for a bench-
    scale CSB reactor facility for syngas production.
32




Thank You!




Acknowledgements:

Dr. Ingmar Schoegl

Mathew Lousteau

Louisiana State University Council on Research Faculty Research
Grant Program
33




Back Up Slides
34




Evolution of Spouting regimes
35




 I. Cold Flow Study
 (Evaluation of Correlations)

For one particular data set     - e.g. 60°, 483 µm, 6.35 mm Do

         best performing correlations align with the
                       diagonal line
36




Evaluation of Correlations                      …cont’d
   Comparison of Gorshtein correlation for all data sets
37




Evaluation of Correlations                      …cont’d
  Comparison of Mukhlenov correlation for all data sets
38




Evaluation of Correlations                     …cont’d

     Comparison of Tsvik correlation for all data sets
39




Evaluation of Correlations                    …cont’d

      Comparison of Choi correlation for all data sets
40




Pressure Drop Measurements

    Effects of Ho and Do on stable pressure drops and
                 maximum pressure drops
41




…Glycerol (Cont’d)
Properties comparison of Crude Glycerol with other biomass wastes

     Content       Units         Pine            Poplar        Bagasse[2]     Almond        Grape        Crude
                               sawdust[2]      sawdust[2]                     shells[2]    stalks[2]   Glycerol[3]

    Moisture      % mass            9.4            10.0           7.1           11.50         8.0          16.1
      Ash         % mass            0.9             3.9           0.9             2.9         4.8           1.2
       C          % mass           45.2            43.1           46.0           40.9        41.3         58.20
       H          % mass            5.4             5.1           5.4             5.2         6.2         10.58
       O          % mass           39.0            37.7           40.3          38.60        39.6         29.82
       N          % mass            0.1             0.2           0.2             0.9         0.1          0.19
       S          % mass            0.0             0.0           0.1             0.0         0.0          0.01
     LHV          MJ/Kg            16.2            15.5           16.2           16.0        16.7          16.0
[2]. Baratieri M. et al., 2007, “Biomass as an energy source: Thermodynamic constraints on the performance of the conversion
process”, Bioresource Technology, vol. 99, pp. 7063 – 7073.


[3]. Scott Q. Turn et al., 2007, “Experimental Investigation of Hydrogen Production from Glycerin Reforming”, American
Chemical Society, published on web.
42




Enthalpy Calculations




Total input enthalpy is = biomass enthalpy + gasifying agent enthalpy

The enthalpy variation or change along the conversion process
represents the energy that is to be released or has to be supplied.

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Mandeep sharma 11th_gsc_lsu

  • 1. 1 Development of a Laboratory Scale Reactor for Biomass Gasification 11th ME Graduate Student Conference Louisiana State University, April 21, 2012 Mandeep Sharma M.S. Candidate (Expected: December 2012) Faculty Advisor: Dr. Ingmar Schoegl, ME, LSU
  • 2. 2 Outline • Objective • Background Information • Conical Spouted Bed (CSB) Reactor • Two Phases • Cold Flow Study • Hot Flow Study – Evaluation of favorable operating conditions – Implementation to CSB reactor • Experimental Setup • Results and Discussion • Acknowledgement
  • 3. 3 Objective  To develop a laboratory scale CSB reactor facility for the purpose of producing H2 rich synthesis gas from various biomass wastes* and other sustainable sources† via thermo-chemical routes of gasification /reforming. H2 rich synthesis gas  mainly consists of H2 and CO, and traces of CO2, H2O and sulfur compounds.  Clean H2 rich syngas has applications in fuel cells, gas turbines and engines for clean and efficient power generation. Initial Stage biomass*: Glycerol, long Term biomass*: others and Validation Tests with Propane †
  • 4. 4 Glycerol • Among the various types of biomass wastes, glycerol (C3H8O3), a byproduct of biodiesel production, has been considered an excellent candidate for H2 production. • Only in the US, biodiesel production has increased dramatically from 500,000 gallons in 1999 to 70 million gallons in 2005 [1]. • For every 9 kg of biodiesel produced, about 1 kg of a crude glycerol by-product is formed. • Glycerol is a potential feedstock, for hydrogen rich syngas production because one mole of glycerol can produce up to four moles of hydrogen. [1]. National Biodiesel Board, 2006.
  • 5. 5 CSB Reactor Development of a CSB reactor divides into two phases: • Cold Flow Studies • Focus on Hydrodynamic Behavior for the purpose of establishing stable spouting limits • Hot Flow Studies (work in progress) a. Focus on evaluation of favorable operating condition for H2 rich syn gas generation by conducting thermochemical analysis and simple plug-flow reactor experiments. b. Results from part A guides the development of the CSB reactor.
  • 6. 6 Brief Introduction Conical Spouted Bed (CSB) Reactor • Mathur and Gishler initially introduced spouted beds in 1954 as an alternative method for drying moist wheat grains. • Recent applications include pyrolysis of solid wastes, e.g. rice husk, sawdust, plastic wastes, scrap tires, etc. • Potential for syngas gas generation from liquid biomass wastes such as glycerol. (Almost no data is available) Advantages of CSB reactor • Perfect mixing • Very efficient heat transfer because of cyclic movement • Very short residence time • Suitable for sticky, moist, irregular shaped bed material
  • 7. 7 Conical Spouting Bed Contacting of solids with fluid by injecting a steady axial jet of fluidizing medium (air/N2/steam). Schematic of CSB actual reactor model Spouting behavior of CSB cold flow model
  • 8. 8 I. Cold Flow Studies • Cold flow studies were conducted to establish stable spouting range. Stable spouting occurs over a specific range of gas velocity called min. spouting velocity (ums)o. Different Spouting Regimes
  • 9. 9 CSB Cold Flow Setup Experiments were carried out at atmospheric conditions using Alumina powder (ρ=3960 Kg/m3) as bed material and air as spouting gas. Schematic of experimental set-up: (1) air manifold, (2) air filter (3), control valve, (4/5) rotameters, (6) air inlet pipe, (7/8) pressure taps at bed inlet and outlet, (9) U-tube manometer, (10) conical contactor, (11) bed material, and (12) cylindrical column.
  • 10. 10 Experiment Summary of operating parameters tested * * * Indicates the best set of testing parameters which shows uniform cyclic behavior of CSB.
  • 11. 11 Effect of System Parameters on (ums)o Effect of different Ho, Do and dp on (ums)o
  • 12. 12 Evaluation of all existing correlations for (ums)o Source Correlation Eqn. Markowski (1) (1983) Choi (1992) (2) Gorshtein (3) (1964) Mukhlenov (4) (1965) Tsvik (1967) (5) Olazar (1992) (6) Olazar (1996) (7) Bi (1997) (for (8) Db/Do ≥1.66) They used CSBs which were significantly larger than the model investigated in present study
  • 13. 13 …Evaluation of Correlations (cont’d) Correlations‟ predictions comparison with experimental results for a particular set of operating parameters
  • 14. 14 Poor performance of correlations:
  • 15. 15 Proposed Correlation Proposed correlation shows excellent agreement with experiments 75 o Present Study, 60 cone angle 70 + 16.3 % 0.483 mm dp, 6.350 mm Do 65 0.483 mm dp, 4.572 mm Do 60 0.483 mm dp, 3.302 mm Do 55 1.092 mm dp, 6.350 mm Do Predicted (ums)o, m/s 50 1.092 mm dp, 4.572 mm Do - 17.15 % 45 1.092 mm dp, 3.302 mm Do 40 35 30 25 20 15 10 5 0 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 Experimental (ums)o, m/s
  • 16. 16 II. Hot Flow Studies (work in progress) • Need to evaluate favorable operating conditions (optimum reactants feed ratio, temperature range etc.) for H2 rich syngas generation. • For validation purposes, first experiments will be tested on simple plug flow reactor which uses propane as a supplying fuel, while additional tests will use glycerol as a renewable fuel source. • In both cases, the selection of operating conditions is guided by results from thermodynamic analysis. • The knowledge of favorable operating conditions (through thermodynamic analysis and plug flow reactor experiments) is required for the further development of CSB reactor facility.
  • 17. 17 Schematic for Plug Flow Reactor Test Facility C3H8 : N2 for dry reforming (DR) C3H8 : N2 : Air for partial oxidation reforming (POR) C3H8 : N2 : Steam for steam reforming (SR) C3H8 : Air : Steam for Autothermal reforming (ATR)
  • 18. 18 Thermodynamic Analysis (work in progress) • As a theoretical study, reaction kinetics, reactor design and operation are not considered here. • Initial tests are performed at T = 1200 K and P = 1 atm in order to find optimum reactants ratio. • A code written in MATLAB environment has been developed using the „Cantera’ software library (object oriented software tools for problems involving chemical kinetics, thermodynamics and transport properties; Goodwin, 2006). • Cantera‟s chemical equilibrium solver* , which involves nonstoichiometric approach (element potential method), is used. • ‘GRI-Mech V. 3.0’, (53 species) database have been used to evaluate the thermodynamic properties of the chemical species considered in the model. *Cantera uses a damped Newton method to solve a set of nonlinear algebraic equations(=no. of elements, not species).
  • 19. 19 Thermochemical conversion routes Dry Reforming (DR): fuel(CnHmOp) + carrier gas(N2/He) ⇒ H2 + CO2 Partial Oxidation (PO): fuel(CnHmOp) + N2 + air ⇒ H2 + CO2 + N2 ; (Exothermic) Steam Reforming (SR): fuel(CnHmOp) + N2 + steam ⇒ H2 + CO2 + N2 ; (Endothermic) Auto-thermal Reforming (ATR): ATR = PO + SR fuel(CnHmOp) + air + steam ⇒ H2 + CO2 + N2 ; (Exothermic) last three cases will be discussed next…
  • 21. 21 … some preliminary results Study 1: C3H8:N2:Steam ternary reaction system (SR case) Directions for reading ternary plots: Plot(a):∆T (Tadiabatic - Treactor) Plot(b): H2 mole fraction
  • 22. 22 Equillibrium analysis (more preliminary results) Study 1: C3H8:N2:Steam ternary reaction system Plot(c): CO mole fraction Plot(d): C mole fraction
  • 23. 23 Equillibrium analysis (more plots) Study 1: C3H8:N2:Steam ternary reaction system Plot(e): H2O mole fraction Plot(f): N2 mole fraction
  • 24. 24 … some preliminary results Study 2: C3H8:Air:N2 ternary reaction system (PO case) Plot(a): ∆T (Tadiabatic - Treactor) Plot(b): H2 mole fraction
  • 25. 25 Equillibrium analysis (more plots) Study 2: C3H8:Air:N2 ternary reaction system Plot(c): CO mole fraction Plot(d): CO mole fraction
  • 26. 26 Equillibrium analysis (more plots) Study 2: C3H8:Air:N2 ternary reaction system Plot(e): H2O mole fraction Plot(f): N2 mole fraction
  • 27. 27 … some preliminary results Study 3: C3H8:Air:Steam ternary reaction system (ATR case) Plot(a): ∆T (Tadiabatic - Treactor) Plot(b): H2 mole fraction
  • 28. 28 Equillibrium analysis (more plots) Study 3: C3H8:Air:Steam ternary reaction system Plot(c): CO mole fraction Plot(d): C mole fraction
  • 29. 29 Equillibrium analysis (more plots) Study 3: C3H8:Air:Steam ternary reaction system Plot(e): H2O mole fraction Plot(f): N2 mole fraction
  • 30. 30 Conclusions I. Cold Flow Studies • Available correlations for calculating min. spouting velocity have shortcomings for small-sized laboratory scale CSB studies. • Developed Simple empirical correlation for (ums)o showed excellent agreement with experimental findings. • Cold flow hydrodynamic study provides a foundation for design of hot flow CSB reactor facility. • Hot flow tests are also needed to carefully examine the stable spouting at high temperatures.
  • 31. 31 …Conclusions II. Hot Flow Studies • From thermo-chemical equilibrium analysis, the optimum ratio of reactants in each reforming case can be decided based on optimum H2 mole fraction in syngas generation. • PO and ATR produces more H2 mole fraction as compared to SR, but steam mitigates the effect of carbon formation. • Further analysis is required to study the effect of temperature, reactants ratio on mole fraction of syngas species for propane and glycerol fuels. Experiment tests are required to verify the theoretical results. • Results from this study will lay the foundation for follow-up research, where similar tests will be performed for a bench- scale CSB reactor facility for syngas production.
  • 32. 32 Thank You! Acknowledgements: Dr. Ingmar Schoegl Mathew Lousteau Louisiana State University Council on Research Faculty Research Grant Program
  • 35. 35 I. Cold Flow Study (Evaluation of Correlations) For one particular data set - e.g. 60°, 483 µm, 6.35 mm Do best performing correlations align with the diagonal line
  • 36. 36 Evaluation of Correlations …cont’d Comparison of Gorshtein correlation for all data sets
  • 37. 37 Evaluation of Correlations …cont’d Comparison of Mukhlenov correlation for all data sets
  • 38. 38 Evaluation of Correlations …cont’d Comparison of Tsvik correlation for all data sets
  • 39. 39 Evaluation of Correlations …cont’d Comparison of Choi correlation for all data sets
  • 40. 40 Pressure Drop Measurements Effects of Ho and Do on stable pressure drops and maximum pressure drops
  • 41. 41 …Glycerol (Cont’d) Properties comparison of Crude Glycerol with other biomass wastes Content Units Pine Poplar Bagasse[2] Almond Grape Crude sawdust[2] sawdust[2] shells[2] stalks[2] Glycerol[3] Moisture % mass 9.4 10.0 7.1 11.50 8.0 16.1 Ash % mass 0.9 3.9 0.9 2.9 4.8 1.2 C % mass 45.2 43.1 46.0 40.9 41.3 58.20 H % mass 5.4 5.1 5.4 5.2 6.2 10.58 O % mass 39.0 37.7 40.3 38.60 39.6 29.82 N % mass 0.1 0.2 0.2 0.9 0.1 0.19 S % mass 0.0 0.0 0.1 0.0 0.0 0.01 LHV MJ/Kg 16.2 15.5 16.2 16.0 16.7 16.0 [2]. Baratieri M. et al., 2007, “Biomass as an energy source: Thermodynamic constraints on the performance of the conversion process”, Bioresource Technology, vol. 99, pp. 7063 – 7073. [3]. Scott Q. Turn et al., 2007, “Experimental Investigation of Hydrogen Production from Glycerin Reforming”, American Chemical Society, published on web.
  • 42. 42 Enthalpy Calculations Total input enthalpy is = biomass enthalpy + gasifying agent enthalpy The enthalpy variation or change along the conversion process represents the energy that is to be released or has to be supplied.