Thermal design, rating and second law analysis of shell and tube condensers based on Taguchi optimization for waste heat recovery based thermal desalination plants

  • Balaji Chandrakanth
  • Venkatesan G
  • Prakash Kumar L.S.S
  • Purnima Jalihal
  • Iniyan S
Original
  • 14 Downloads

Abstract

The present work discusses the design and selection of a shell and tube condenser used in Low Temperature Thermal Desalination (LTTD). To optimize the key geometrical and process parameters of the condenser with multiple parameters and levels, a design of an experiment approach using Taguchi method was chosen. An orthogonal array (OA) of 25 designs was selected for this study. The condenser was designed, analysed using HTRI software and the heat transfer area with respective tube side pressure drop were computed using the same, as these two objective functions determine the capital and running cost of the condenser. There was a complex trade off between the heat transfer area and pressure drop in the analysis, however second law analysis was worked out for determining the optimal heat transfer area vs pressure drop for condensing the required heat load.

Nomenclature

A

Net cross flow / heat transfer area (m2)

Cp

Specific heat (J/kgK)

Cgs

HTRI Shell side flow regime parameter

d

Diameter of tube

F

Cross flow correction factor

f

Friction factor

fis

Isothermal friction factor

Ffb

B stream flow fraction (≅0.6)

Fmr

Momentum recovery factor

G

Total mass flux (kg/m2s)

g

Acceleration due to gravity (m/s2)

h

Heat transfer coefficient (W/m2K)

K

Thermal conductivity of wall (W/mK)

L

Tube Length (m)

m

Total mass flow rate (kg/s)

Nt

Number of tubes

Pr

Prandtl number

pt

Tube pitch (m)

R

Heat capacity ratio

Rf

Fouling resistance (m2K/W)

Rlh

Homogenous liquid volume fraction

Re

Reynolds number

S.gen

Entropy generated

S

Thermal effectiveness

T

Temperature of Fluid (K)

U

Overall heat transfer coefficient (W/m2K)

y

Weight of vapour fraction

Δp

Pressure drop (kPa)

ΔT

Temperature difference (K)

Δpmr

Two phase momentum pressure drop (kPa)

Greek Symbols

ρ

Density (kg/m3)

μ

Homogenous dynamic Viscosity (Ns/m2)

φ

Temperature profile function

v2

Ratio of two phase to vapor phase frictional pressure drop

α

Momentum diffusivity (m2/s)

h

Physical property correction factor, heat transfer

p

Physical property correction factor, pressure drop

Suffixes

c

Cold fluid

h

Hot fluid

s

Shell side

t

Tube side

sp

Single phase

w

Wall temperature

i

In

o

Out

l

Liquid

v

Vapour

tp

Two phase

fric

Friction component

m

Momentum component

Notes

Acknowledgments

This work has been done under the funding of Ministry of Earth Sciences (MoES), Govt. of India.

References

  1. 1.
    Thullukanam K (2013) Heat exchanger design handbook, 2nd edn. Taylor & Francis, Boca RatonCrossRefGoogle Scholar
  2. 2.
    Lord RC, Minton PE, Slusser RP (1970) Design of heat exchangers/chemical engineering. McGraw-Hill, New YorkGoogle Scholar
  3. 3.
    Venkatesan G, Iniyan S, Jalihal P (2015) A desalination method utilising low-grade waste heat energy. Desalin Water Treat 56:2037–2045CrossRefGoogle Scholar
  4. 4.
    Venkatesan G, Iniyan S, Goic R (2013) A prototype flash cooling desalination system using cooling water. Int J Energy Res 37:1132–1140CrossRefGoogle Scholar
  5. 5.
    Khalifeh Soltan B, Saffar-Avval M, Damangir E (2004) Minimizing capital and operating costs of shell and tube condensers using optimum baffle spacing. Appl Therm Eng 24:2801–2810CrossRefGoogle Scholar
  6. 6.
    Allen B, Gosselin L (2008) Optimal geometry and flow arrangement for minimizing the cost of shell-and-tube condensers. Int J Energy Res 32:958–969CrossRefGoogle Scholar
  7. 7.
    Yang J, Fan A, Liu W, Jacobi AM (2014) Optimization of shell-and-tube heat exchangers conforming to TEMA standards with designs motivated by constructal theory. Energy Convers Manag 78:468–476CrossRefGoogle Scholar
  8. 8.
    Fettaka S, Thibault J, Gupta Y (2013) Design of shell-and-tube heat exchangers using multiobjective optimization. Int J Heat Mass Transf 60:343–354CrossRefGoogle Scholar
  9. 9.
    Selbas R, Kizilkan O, Reppich M (2006) A new design approach for shell and tube heat exchangers using genetic algorithms from economic point of view. Chem Eng Process 45:268–275CrossRefGoogle Scholar
  10. 10.
    Babu BV, Munawar SA (2007) Differential evolution strategies for optimal design of shell-and-tube heat exchanger. Chem Eng Sci 14:3720–3739CrossRefGoogle Scholar
  11. 11.
    Caputo AC, Pelagagge PM, Salini P (2008) Heat exchanger design based on economic optimization. Appl Therm Eng 28:1151–1159CrossRefGoogle Scholar
  12. 12.
    Sanaye S, Hajabdollahi H (2010) Multi-objective optimization of shell and tube heat exchangers. Appl Therm Eng 30:1937–1945CrossRefGoogle Scholar
  13. 13.
    Patel VK, Rao RV (2010) Design optimization of shell-and-tube heat exchanger using particle swarm optimization technique. Appl Therm Eng 30:1417–1425CrossRefGoogle Scholar
  14. 14.
    Costa ALH, Queiroz EM (2008) Design optimization of shell-and-tube heat exchangers. Appl Therm Eng 28:1798–1805CrossRefGoogle Scholar
  15. 15.
    Eryener D (2006) Thermoeconomic optimization of baffle spacing for shell and tube heat exchangers. Energy Convers Manag 47:1478–1489CrossRefGoogle Scholar
  16. 16.
    TEMA (2007) Standards of tubular exchanger manufacturers association, 9th edn. Tubular Exchanger Manufacturers Association, TarrytownGoogle Scholar
  17. 17.
    Lin JL, Wang KS, Yan BH, Tarng YS (2000) Optimization of electrical discharge machining process based on the Taguchi method with fuzzy logics. J Mater Process Technol 102:48–55CrossRefGoogle Scholar
  18. 18.
    Kang J, Hadfield M (2001) Parameter optimization by Taguchi methods for finishing advanced ceramic balls using a novel eccentric lapping machine. Proc Inst Mech Eng 215:69–78CrossRefGoogle Scholar
  19. 19.
    Phadke MS (1989) Quality engineering using robust design. Prentice Hall, Englewood CliffsGoogle Scholar
  20. 20.
    Ross PJ (1996) Taguchi techniques for quality engineering. McGraw Hill, New YorkGoogle Scholar
  21. 21.
    Shaji S, Radhakrishnan V (2003) Analysis of process parameters in surface grinding with graphite as lubricant based on the Taguchi method. J Mater Process Technol 141:51–59CrossRefGoogle Scholar
  22. 22.
    Paciska T, Jegla Z, Kilkovsky B, Reppich M, Turek V (2013) Thermal analysis of unconventional process condenser using conventional software. Chem Eng Trans 35:469–474Google Scholar
  23. 23.
    Bhatt D, Priyanka MJ (2014) Shell and tube heat exchanger performance analysis. Int J Sci Res 3(9):2319–7064Google Scholar
  24. 24.
    Cengel YA (2002) Heat transfer: a practical approach. McGraw-Hill, New YorkGoogle Scholar
  25. 25.
    Shah RK, Sekulic DP (2003) Fundamentals of heat exchanger design. Wiley, New YorkCrossRefGoogle Scholar
  26. 26.
    Kern DQ (1950) Process heat transfer. McGraw-Hill, New-YorkGoogle Scholar
  27. 27.
    Kandlikar SG (1999) Handbook of phase change: boiling and condensation. Taylor and Fransis, RoutledgeGoogle Scholar
  28. 28.
    Bell KJ, Ghaly MA (1973) An approximate generalised design method for multicomponent/partial condenser. Am Inst Chem Eng J Symp Ser 69:72–79Google Scholar
  29. 29.
    Silver L (1947) Gas cooling with aqueous condensation. Trans Inst Chem Eng 25:30–42Google Scholar
  30. 30.
    Yang ZH (2004) Shellside crossflow condensation for pure components with non condensable gases. CS-12 Heat transfer Research Inc, College StationGoogle Scholar
  31. 31.
    Baker O (1994) Simultaneous flow of oil and gas. Oil Gas J 53:185–195Google Scholar
  32. 32.
    Bell KJ, Taborek J, Fenoglio F (1970) Interpretation of horizontal in-tube condensation heat transfer correlations with a two-phase flow regime map. Chem Eng Prog Symp Ser 66:150–163Google Scholar
  33. 33.
    Mandhane JM, Gregory GA, Aziz K (1974) A flow pattern map for gas-liquid flow in horizontal pipes. Int J Multiphase Flow 1:537–553CrossRefGoogle Scholar
  34. 34.
    HTRI Xchanger Suite Design manual. Heat Transfer Research Inc., TexasGoogle Scholar
  35. 35.
    Yang ZH (2000) Reflux condensation in vertical tubes. CT-13 Heat transfer Research Inc, College StationGoogle Scholar
  36. 36.
    Bell KJ (1988) Two-phase flow regime considerations in condenser and vaporizer design. Int Comm Heat Mass Transfer 15:429–448CrossRefGoogle Scholar
  37. 37.
    Fernandez-Seara J, Uhia FJ, Sieres J, Campo A (2007) A general review of the Wilson plot method and its modifications to determine convection coefficients in heat exchange devices. Appl Therm Eng 27:2745CrossRefGoogle Scholar
  38. 38.
    Ramires MLV, de Castro Nleto CA, Nagasaka Y, Nagashima A, Assael MJ, Wakeham WA Standard reference data for thermal conductivity of water. NIST, GaithersburgGoogle Scholar
  39. 39.
    Kakac S, Shah RK, Aung W (1987) Handbook of single phase convective heat transfer. Wiley, New YorkGoogle Scholar
  40. 40.
    Zimparov V (2001) Extended performance evaluation criteria for enhanced heat transfer surfaces: heat transfer through ducts with constant heat flux. Int J Heat Mass Transf 44:169–180CrossRefMATHGoogle Scholar
  41. 41.
    Natalini G, Sciubba E (1999) Minimization of the local rates of entropy production in the design of air-cooled gas turbine blades. J Eng Gas Turbines Power 121:466–475CrossRefGoogle Scholar
  42. 42.
    Vuckovic G, Ilic G, Vukic M, Banic M, Stefanovic G (2012) CFD simulation of entropy generation in pipeline for steam transport in real industrial plant. Proceedings of ECOS-2012 the 25th international conference on efficiency, cost, optimization, simulation and environmental impact on energy systemsGoogle Scholar
  43. 43.
    Kailasam M (2004) Effect of thermal effluent discharge on benthic fauna off Tuticorin bay, south east coast of India. Indian J Mar Sci 33:194–201Google Scholar
  44. 44.
    Petrescu S (1994) Comments on the optimal spacing of parallel plates cooled by forced convection. Int J Heat Mass Transf 37:1283CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Balaji Chandrakanth
    • 1
  • Venkatesan G
    • 1
  • Prakash Kumar L.S.S
    • 1
  • Purnima Jalihal
    • 1
  • Iniyan S
    • 2
  1. 1.Energy& Fresh Water groupNational Institute of Ocean TechnologyChennaiIndia
  2. 2.Institute of Energy Studies, College of Engineering, GuindyChennaiIndia

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