A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems

Bo Wan; F.-K. Benra; H. J. Dohmen

doi:doi:10.11648/j.ijepe.20130202.12

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A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems

Bo Wan, F.-K. Benra, H. J. Dohmen

Published in International Journal of Energy and Power Engineering (Volume 2, Issue 2)

Published: 2 April 2013

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Abstract

The goal of the current paper is to describe an in-depth study of a numerical implementation of the modified equation of fluid motion for incompressible flow. The applications of the developed solver are discussed for both laminar and turbulent flow problems. The results are evaluated by comparing them with those obtained by other methods, including the numerical results obtained by the Navier–Stokes solver measurement data. Then, the computational effort and accuracy of the solver are emphasized. The comparisons indicate that the developed solver, which is based on the modified equation of fluid motion, requires less computation time than the Navier–Stokes solver, and it produces physically reasonable results validated by measurement data

Published in	International Journal of Energy and Power Engineering (Volume 2, Issue 2)
DOI	10.11648/j.ijepe.20130202.12
Page(s)	37-45
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Modified Equation of Fluid Motion, Statistical Mechanics, CFD, Incompressible Flow, Navier–Stokes Equa-tions, Navier–Stokes Solver, Flat Plate, Airfoil, Curved Duct

References

[1]	Sohrab, S. H., "A Scale-Invariant Model of Statistical Mechanics and Modified Forms of the First and the Second Laws of Thermodynamics", International Journal of Thermal Science, vol. 38, pp. 845-853, 1999.
[2]	Sohrab, S. H., 2008, "Derivation of invariant forms of conservation equation from the invariant Boltzmann equation", Proc 5th WSEAS Int. Conf. on Fluid Mechanics, S. H. Sohrab et al., eds, WSEAS Press, Athens, pp. 183-191.
[3]	Wan, B., Benra, F.-K., and Dohmen, H. J., "Unique Numerical Scheme for a Modified Equation of Fluid Motion: Approaching New Solver Development to a Fundamental Flow Problem", Science Journal of Physics, vol. 2013, Article ID sjp-231, 2013.
[4]	Sohrab, S. H., 2008, "A Modified Scale Invariant Statistical Theory of Turbulence," Proc 6th WSEAS Int. Conf. on Fluid Mechanics, S. H. Sohrab et al., eds, WSEAS Press, Athens, pp. 165-172.
[5]	Thom, A., and Swart, P., "The forces on an aerofoil at very low speeds", Journal of the Royal Aeronautical Society, vol. 44, pp. 761-770, 1940.
[6]	Abbott, I. H., and von Doenhoff, A. E., "Theory of Wing Sections, including a Summary of Airfoil Data", Dover Publication, New York, pp. 165-169, 1959.
[7]	Jasak, H., Error Analysis and Estimation for the Finite Volume Method with Application to Fluid Flows, Ph. D. Thesis, Imperial College, London, 1996.
[8]	Schultz-Grunow, F, "New Frictional Resistance law for Smooth Plates", Luftfahrtforschung, vol. 17, pp. 239-246, 1940.
[9]	Taylor, A. M. K. P., Whitelaw, J. H., and Yianneskis, M., "Curved Ducts with Strong Secondary Motion: Velocity Measurements of Developing Laminar and Turbulence Flow", Journal of Fluids Engineering, vol. 104, pp. 350-359, 1982.

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APA Style

Bo Wan, F.-K. Benra, H. J. Dohmen. (2013). A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems. International Journal of Energy and Power Engineering, 2(2), 37-45. https://doi.org/10.11648/j.ijepe.20130202.12

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ACS Style

Bo Wan; F.-K. Benra; H. J. Dohmen. A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems. Int. J. Energy Power Eng. 2013, 2(2), 37-45. doi: 10.11648/j.ijepe.20130202.12

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AMA Style

Bo Wan, F.-K. Benra, H. J. Dohmen. A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems. Int J Energy Power Eng. 2013;2(2):37-45. doi: 10.11648/j.ijepe.20130202.12

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@article{10.11648/j.ijepe.20130202.12,
  author = {Bo Wan and F.-K. Benra and H. J. Dohmen},
  title = {A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems},
  journal = {International Journal of Energy and Power Engineering},
  volume = {2},
  number = {2},
  pages = {37-45},
  doi = {10.11648/j.ijepe.20130202.12},
  url = {https://doi.org/10.11648/j.ijepe.20130202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijepe.20130202.12},
  abstract = {The goal of the current paper is to describe an in-depth study of a numerical implementation of the modified equation of fluid motion for incompressible flow. The applications of the developed solver are discussed for both laminar and turbulent flow problems. The results are evaluated by comparing them with those obtained by other methods, including the numerical results obtained by the Navier–Stokes solver measurement data. Then, the computational effort and accuracy of the solver are emphasized. The comparisons indicate that the developed solver, which is based on the modified equation of fluid motion, requires less computation time than the Navier–Stokes solver, and it produces physically reasonable results validated by measurement data},
 year = {2013}
}

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TY  - JOUR
T1  - A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems
AU  - Bo Wan
AU  - F.-K. Benra
AU  - H. J. Dohmen
Y1  - 2013/04/02
PY  - 2013
N1  - https://doi.org/10.11648/j.ijepe.20130202.12
DO  - 10.11648/j.ijepe.20130202.12
T2  - International Journal of Energy and Power Engineering
JF  - International Journal of Energy and Power Engineering
JO  - International Journal of Energy and Power Engineering
SP  - 37
EP  - 45
PB  - Science Publishing Group
SN  - 2326-960X
UR  - https://doi.org/10.11648/j.ijepe.20130202.12
AB  - The goal of the current paper is to describe an in-depth study of a numerical implementation of the modified equation of fluid motion for incompressible flow. The applications of the developed solver are discussed for both laminar and turbulent flow problems. The results are evaluated by comparing them with those obtained by other methods, including the numerical results obtained by the Navier–Stokes solver measurement data. Then, the computational effort and accuracy of the solver are emphasized. The comparisons indicate that the developed solver, which is based on the modified equation of fluid motion, requires less computation time than the Navier–Stokes solver, and it produces physically reasonable results validated by measurement data
VL  - 2
IS  - 2
ER  -

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Author Information

Bo Wan

Department of Mechanical Engineering, Faculty of Engineering Sciences, University of Duisburg-Essen, Duisburg 47048, GERMANY
F.-K. Benra

Department of Mechanical Engineering, Faculty of Engineering Sciences, University of Duisburg-Essen, Duisburg 47048, GERMANY
H. J. Dohmen

Department of Mechanical Engineering, Faculty of Engineering Sciences, University of Duisburg-Essen, Duisburg 47048, GERMANY

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Plain Text BibTeX RIS

APA Style

Bo Wan, F.-K. Benra, H. J. Dohmen. (2013). A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems. International Journal of Energy and Power Engineering, 2(2), 37-45. https://doi.org/10.11648/j.ijepe.20130202.12

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ACS Style

Bo Wan; F.-K. Benra; H. J. Dohmen. A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems. Int. J. Energy Power Eng. 2013, 2(2), 37-45. doi: 10.11648/j.ijepe.20130202.12

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AMA Style

Bo Wan, F.-K. Benra, H. J. Dohmen. A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems. Int J Energy Power Eng. 2013;2(2):37-45. doi: 10.11648/j.ijepe.20130202.12

Copy | Download

@article{10.11648/j.ijepe.20130202.12,
  author = {Bo Wan and F.-K. Benra and H. J. Dohmen},
  title = {A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems},
  journal = {International Journal of Energy and Power Engineering},
  volume = {2},
  number = {2},
  pages = {37-45},
  doi = {10.11648/j.ijepe.20130202.12},
  url = {https://doi.org/10.11648/j.ijepe.20130202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijepe.20130202.12},
  abstract = {The goal of the current paper is to describe an in-depth study of a numerical implementation of the modified equation of fluid motion for incompressible flow. The applications of the developed solver are discussed for both laminar and turbulent flow problems. The results are evaluated by comparing them with those obtained by other methods, including the numerical results obtained by the Navier–Stokes solver measurement data. Then, the computational effort and accuracy of the solver are emphasized. The comparisons indicate that the developed solver, which is based on the modified equation of fluid motion, requires less computation time than the Navier–Stokes solver, and it produces physically reasonable results validated by measurement data},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - A Novel Numerical Scheme for a Scale-Invariant Form of Equation of Motion: Development of Solver and Application to Engineering Flow Problems
AU  - Bo Wan
AU  - F.-K. Benra
AU  - H. J. Dohmen
Y1  - 2013/04/02
PY  - 2013
N1  - https://doi.org/10.11648/j.ijepe.20130202.12
DO  - 10.11648/j.ijepe.20130202.12
T2  - International Journal of Energy and Power Engineering
JF  - International Journal of Energy and Power Engineering
JO  - International Journal of Energy and Power Engineering
SP  - 37
EP  - 45
PB  - Science Publishing Group
SN  - 2326-960X
UR  - https://doi.org/10.11648/j.ijepe.20130202.12
AB  - The goal of the current paper is to describe an in-depth study of a numerical implementation of the modified equation of fluid motion for incompressible flow. The applications of the developed solver are discussed for both laminar and turbulent flow problems. The results are evaluated by comparing them with those obtained by other methods, including the numerical results obtained by the Navier–Stokes solver measurement data. Then, the computational effort and accuracy of the solver are emphasized. The comparisons indicate that the developed solver, which is based on the modified equation of fluid motion, requires less computation time than the Navier–Stokes solver, and it produces physically reasonable results validated by measurement data
VL  - 2
IS  - 2
ER  -

Copy | Download