Skip to main content
Log in

Direct numerical simulation of a turbulent axisymmetric jet with buoyancy induced acceleration

  • Published:
Flow, Turbulence and Combustion Aims and scope Submit manuscript

Abstract

Direct numerical simulations of an axisymmetric jet with off-source volumetric heat addition are presented in this paper. The system solved here involves a three-way coupling between velocity, concentration and temperature. The computations are performed on a spherical coordinate system, and application of a traction free boundary condition at the lateral edges allows physical entrainment into the computational domain. The Reynolds and Richardson numbers based on local scales employed in the simulations are 1000 and 12 respectively. A strong effect of heat addition on the jet is apparent. Heating causes acceleration of the jet, and an increased dilution due to an increase in entrainment. Further, the streamwise velocity profile is distorted, and the cross-stream velocity is inward for all radial locations for the heated jet. Interestingly, the maximum temperature is realized off-axis and a short distance upstream of the exit of the heat injection zone (HIZ). The temperature width is intermediate between the scalar and velocity widths in the HIZ. Normalized rms of the concentration and temperature increases in the HIZ, whereas that of streamwise, cross-stream and tangential velocities increases rapidly after decreasing. Both mass flux and entrainment are larger for the heated jet as compared to their unheated counterparts. The buoyancy flux increases monotonically in the HIZ, and subsequently remains constant.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Agrawal, A., Effect of off-source volumetric heat addition on entrainment in a turbulent jet with application to cumulus clouds. Ph.D. Dissertation, University of Delaware (2002).

  2. Agrawal, A., Sreenivas, K.R. and Prasad, A.K., Velocity and temperature measurements in an axisymmetric jet with cloud-like off-source heating. Internat. J. Heat Mass Transfer 47 (2004) 1433–1444.

    Article  Google Scholar 

  3. Agrawal, A. and Prasad, A.K., Evolution of a turbulent jet subjected to volumetric heating. J. Fluid Mech. (in review).

  4. Akselvoll, K. and Moin, P., Large-eddy simulation of turbulent confined coannular jets. J. Fluid Mech. 315 (1996) 387–411.

    ADS  Google Scholar 

  5. Basu, A.J. and Narasimha, R., Direct numerical simulation of turbulent flows with cloud-like off-source heating. J. Fluid Mech. 385 (1999) 199–228.

    Article  ADS  MATH  Google Scholar 

  6. Bhat, G.S. and Narasimha, R., A volumetrically heated jet: Large eddy structure and entrainment characteristics. J. Fluid Mech. 325 (1996) 303–330.

    ADS  Google Scholar 

  7. Bird, R.B., Stewart, W.E. and Lightfoot, E.N., Transport Phenomena. Wiley, New York (1960).

    Google Scholar 

  8. Boersma, B.J., Entrainment boundary conditions for free shear flows. Internat. J. Comput. Fluid Dynam. 13 (2000) 357–363.

    MATH  MathSciNet  ADS  Google Scholar 

  9. Boersma, B.J., Brethouwer, G. and Nieuwstadt, F.T.M., A numerical investigation on the effect of the inflow conditions on the self-similar region of a round jet. Phys. Fluids 10 (1998) 899–909.

    Article  ADS  Google Scholar 

  10. Chen, C.J. and Rodi, W., Vertical Turbulent Buoyant Jets - A Review of Experimental Data. Pergamon Press, Oxford (1980) pp. 11–12.

    Google Scholar 

  11. Elavarasan, R., Bhat, G.S., Narasimha, R. and Prabhu, A., An experimental study of a jet with local buoyancy enhancement. Fluid Dynam. Res. 16 (1995) 189–202.

    Google Scholar 

  12. Emanuel, K.A., Atmospheric Convection. Oxford University Press, Oxford (1994).

    Google Scholar 

  13. Gresho, P.M., Incompressible fluid dynamics: Some fundamental formulations issues. Annu. Rev. Fluid Mech. 23 (1991) 413–453.

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. Hussein, H.J., Capp, S.P. and George, W.K., Velocity measurements in a high Reynolds number, momentum-conserving axisymmetric turbulent jet. J. Fluid Mech. 258 (1994) 31–75.

    ADS  Google Scholar 

  15. Koren, B., A robust upwind discretization method for advection, diffusion and source terms. In: Vreugdenhill, C.B. and Koren, B. (eds), Numerical Methods for Advection-Diffusion Problems, Notes on Numerical Fluid Mechanics, Vol. 45. Vieweg, Braunschweig (1993) pp. 117–138.

    Google Scholar 

  16. Lubbers, C.L., Brethouwer, G. and Boersma, B.J., Simulation of the mixing of a passive scalar in a round turbulent jet. Fluid Dynam. Res. 28 (2001) 189–208.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. Mohensi, K. and Colonius, T., Numerical treatment of polar coordinate singularities. J. Comput. Phys. 157 (2000) 787–795.

    ADS  MathSciNet  Google Scholar 

  18. Moin, P. and Mahesh, K., Direct numerical simulation: A tool in turbulence research. Annu. Rev. Fluid Mech. 30 (1998) 539–578.

    Article  ADS  MathSciNet  Google Scholar 

  19. Paluch, I.R., The entrainment mechanism in Colorado cumuli. J. Atmos. Sci. 36 (1979) 2467–2478.

    Article  ADS  Google Scholar 

  20. Rodi, W., Private communication (2003).

  21. Schlichting, H., Boundary-Layer Theory, seventh edition. McGraw-Hill, New York (1979).

    MATH  Google Scholar 

  22. Turner, J.S., Turbulent entrainment: The development of the entrainment assumption, and its application to geophysical flows. J. Fluid Mech. 173 (1986) 431–471.

    ADS  Google Scholar 

  23. Wang, H. and Law, A.W.-K., Second order integral model for a round turbulent buoyant jet. J. Fluid Mech. 459 (2002) 397–428.

    ADS  MathSciNet  MATH  Google Scholar 

  24. Warner, J., On steady-state one-dimensional models of cumulus convections. J. Atmos. Sci. 27 (1970) 1035–1040.

    ADS  Google Scholar 

  25. Zijlema, M. and Wesseling, P., Higher-order flux-limiting schemes for the finite volume computation of incompressible flow. Internat. J. Comput. Fluid Dynam. 9 (1998) 89–109.

    MathSciNet  MATH  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Agrawal, A., Boersma, B.J. & Prasad, A.K. Direct numerical simulation of a turbulent axisymmetric jet with buoyancy induced acceleration. Flow Turbulence Combust 73, 277–305 (2005). https://doi.org/10.1007/s10494-005-8051-1

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10494-005-8051-1

Key words

Navigation