Skip to main content
SpringerLink
Log in

Implementation of Fuzzy Logic on FORTRAN Coded Free Convection Around Vertical Tube

  • Conference paper
  • First Online:
Proceedings of Sixth International Conference on Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 546))

Abstract

In present study, fuzzy logic is used to predict the free convection over a heated vertical cylindrical tube. Tube has diameter 38 mm and length 500 mm. Numerical simulation involves use of implicit finite difference scheme to solve the fluidics equations for vertical tube. Tube is imposed to a fine structural grid and appropriate boundary conditions. Properties of two fluids namely air and water vapour is used for numerical simulation. Grashof number is varied from 2.04 × 106 to 2.62 × 108 and 2.69 × 106 to 3.36 × 108 for air and water vapour respectively. A computer code in FORTRAN programming language is used to draw velocity and temperature profiles. Fuzzy Interface System Mamdani is used to evaluate output membership from different fuzzy sets. Fuzzy predicted results are found in good agreement with experiments. Rayleigh number was found 1.45 × 107 to 3.63 × 108 and 2.66 × 107 to 6.67 × 108 for air and water vapour. Fuzzy logic results confirm ±4% agreement with experimental results.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Som, S.K.: Introduction to Heat Transfer. PHI Learning Pvt. Ltd., New Delhi (2008)

    Google Scholar 

  2. Sparrow, E.M., Gregg, J.L.: Laminar free convection heat transfer from the outer surface of a vertical circular cylinder. Trans. ASME 78, 1823–1829 (1956)

    Google Scholar 

  3. Blottner, F.G.: Finite difference methods of solution of the boundary-layer equations. Am. Inst. Aeronaut. Astronaut. J. 82, 193–205 (1970)

    Article  MathSciNet  MATH  Google Scholar 

  4. Douglas Jr., J., Russell, T.F.: Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. SIAM J. Numer. Anal. 19(5), 871–885 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  5. Saha, S.C., Hossain, M.A.: Natural convection flow with combined buoyancy effects due to thermal and mass diffusion in a thermally stratified media. Nonlinear Anal. Model. Control 9(1), 89–102 (2004)

    MATH  Google Scholar 

  6. Fahiminia, M., Naserian, M., Goshayeshi, H., Majidian, D.: Investigation of natural convection heat transfer coefficient on extended vertical base plates. Energy Power Eng. 3, 174–180 (2011)

    Article  Google Scholar 

  7. Zhanlav, T., Ulziibayar, V.: The best finite-difference scheme for the Helmholtz equation. Am. J. Comput. Math. 2, 207–212 (2012)

    Article  Google Scholar 

  8. Shiferaw, A., Mittal, R.C.: Fast finite difference solutions of the three dimensional Poisson’s equation in cylindrical coordinates. Am. J. Comput. Math. 3, 356–361 (2013)

    Article  Google Scholar 

  9. Ahmad, I., Bilal, M.: Numerical solution of Blasius equation through neural network algorithms. Am. J. Comput. Math. 4, 223–232 (2014)

    Article  Google Scholar 

  10. Petrova, L.: The peculiarity of numerical solving the Euler and Navier-Stokes equations. Am. J. Comput. Math. 4, 304–310 (2014)

    Article  Google Scholar 

  11. Zadeh, L.A.: Fuzzy sets. J. Inf. Control 8, 338–353 (1965)

    Article  MATH  Google Scholar 

  12. Acilar, A.M., Arslan, A.: Optimization of multiple input–output fuzzy membership functions using clonal selection algorithm. Expert Syst. Appl. 38(3), 1374–1381 (2011)

    Article  Google Scholar 

  13. Yousefi, T., Harsini, I. Ashjaee, M.: Free convection from an isothermal horizontal cylinder in a vertical channel. In: International Conference on Heat Transfer in Components and Systems for Sustainable Energy Technologies (Heat SET), Chambery (2007)

    Google Scholar 

  14. Karami, A., Yousefi, T., Rezaei, E., Amiri, A.: Modeling of the free convection heat transfer from an isothermal horizontal cylinder in a vertical channel via the fuzzy logic. Int. J. Multiphys. 6(1), 7–16 (2012)

    Article  Google Scholar 

  15. Belarbi, K., Titel, F., Bourebia, W., Benmahammed, K.: Design of Mamdani fuzzy logic controllers with rule base minimisation using genetic algorithm. J. Eng. Appl. Artif. Intell. 18, 875–880 (2005)

    Article  Google Scholar 

  16. Murlidhar, K., Biswas, G.: Advanced Engineering Fluid Mechanics. Narosa Publishing House, New Delhi (1996)

    Google Scholar 

  17. Pedrycz, W.: Why triangular membership functions? J. Fuzzy Sets Syst. 64, 21–30 (1994)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mechanical Engineering Department, Thapar University Patiala, Patiala, 147004, India

    Jashanpreet Singh & Satish Kumar

  2. Department of Mechanical Engineering, Punjabi University Patiala, Patiala, 147002, India

    Chanpreet Singh

Authors
  1. Jashanpreet Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chanpreet Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Satish Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jashanpreet Singh .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

    Kusum Deep

  2. Department of Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

  3. Department of Mathematics, National Institute of Technology, Silchar, Silchar, Assam, India

    Kedar Nath Das

  4. School of Mathematics, Thapar Institute of Engineering and Technology University, Patiala, Punjab, India

    Arvind Kumar Lal

  5. School of Mathematics, Thapar University Patiala, Patiala, Punjab, India

    Harish Garg

  6. Department of Mathematics and Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya K. Nagar

  7. Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, Roorkee, India

    Millie Pant

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this paper

Cite this paper

Singh, J., Singh, C., Kumar, S. (2017). Implementation of Fuzzy Logic on FORTRAN Coded Free Convection Around Vertical Tube. In: Deep, K., et al. Proceedings of Sixth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 546. Springer, Singapore. https://doi.org/10.1007/978-981-10-3322-3_31

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-3322-3_31

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3321-6

  • Online ISBN: 978-981-10-3322-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation