Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T07:47:48.018Z Has data issue: false hasContentIssue false
  • English
  • Français

Submerged laminar jet impingement on a plane

Published online by Cambridge University Press:  20 April 2006

Mohan D. Deshpande  and
Ramesh N. Vaishnav
Mohan D. Deshpande
Affiliation:
Department of Mechanical Engineering, The Catholic University of America, Washington, D.C. 20064
Ramesh N. Vaishnav
Affiliation:
Department of Civil Engineering, The Catholic University of America, Washington, D.C. 20064
Get access Rights & Permissions [Opens in a new window]

Abstract

Submerged laminar jet impingement on a plane is studied using computation. Steady-state Navier-Stokes equations for the axisymmetric case are solved numerically. The extent of the infinite flow is approximated by applying the boundary conditions at a finite but sufficiently large distance. The tube-exit velocity profile is assumed to be either a fully developed parabolic profile or a flat profile. For the former case, two different nozzle heights from the target plane are considered. The presence of a toroid-shaped eddy at low values of Reynolds number, Re, leads to some interesting observations such as the manner in which the wall shear stress depends on Re. An increase in the height of the nozzle exit from the target plane decreases the wall shear stress, more so at lower values of Re. A change from the parabolic exit velocity profile to the flat profile leads to a decrease in wall shear stress due to decreased momentum flux. The study was motivated by experiments designed to measure the yield shear strength of the vascular endothelium wherein a small saline jet was used to erode the tissue by normal impingement.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 114 , January 1982 , pp. 213 - 236
Copyright
© 1972 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Baines, W. D. & Keffer, J. F. 1976 Shear stress and heat transfer at stagnation point. Int. J. Heat Mass Transfer 19, 21–26.Google Scholar
Bajura, R. A. & Szewczyk, A. A. 1970 Experimental investigation of a laminar two-dimensional plane wall jet. Phys. Fluids 13, 1653–1664.Google Scholar
Bakke, P. 1957 An experimental investigation of a wall jet. J. Fluid Mech. 2, 467–472.Google Scholar
Beltaos, S. & Rajaratnam, N. 1974 Impinging circular turbulent jets. J. Hydraulics Div. Proc. A.S.C.E. 100 (HY10), 1313–1328.Google Scholar
Bradbury, L. J. S. 1972 The impact of an axisymmetric jet onto a normal ground. Aero. Quart. 23, 141–147.Google Scholar
Bradshaw, P. & Love, E. M. 1961 The normal impingement of a circular air jet on a flat surface. Aero. Res. Counc. R. & M. 3205.Google Scholar
Chun, D. H. & Schwarz, W. H. 1967 Stability of the plane incompressible viscous wall jet subjected to small disturbances. Phys. Fluids 10, 911–915.Google Scholar
Deshpande, M. D., Giddens, D. P. & Mabon, R. F. 1976 Steady laminar flow through modelled vascular stenoses. J. Biomech. 9, 165–174.Google Scholar
Fry, D. L. 1973 Responses of the arterial wall to certain physical factors. Atherogenesis: Initiating factors. CIBA Foundation Symp. Vol. 12, pp. 93–125. Elsevier.
Gardon, R. & Akfirat, J. C. 1966 Heat transfer characteristics of impinging two-dimensional air jets. J. Heat Transfer 88, 101–108.Google Scholar
Glauert, M. B. 1956 The wall jet. J. Fluid Mech. 1, 625–643.Google Scholar
Gosman, A. D., Pun, W. M., Runchal, A. K., Spalding, D. B. & Wolfshtein, M. 1969 Heat and Mass Transfer in Recirculating Flows. Academic.
Kamoi, A. & Tanaka, H. 1972 Measurements of wall shear stress, wall pressure and fluctuations in the stagnation region produced by oblique jet impingement. In Fluid Dynamic Measurements in the Industrial and Medical Environment (ed. D. Cockrell), vol. 1, pp. 217–227. Leicester University Press.
Lester, W. G. S. 1961 The flow past a pitot tube at low Reynolds numbers. Aeronaut. Res. Counc. Rep. Memo. 3240.Google Scholar
Ojha, S. K. & Gollakota, S. 1977 Jet impingement on a curved surface. A.I.A.A. J. 15, 453–454.Google Scholar
Plotkin, A. 1970 A second-order correction to the Glauert wall jet solution. A.I.A.A. J. 8, 188–189.Google Scholar
Poreh, M., Tsuei, Y. G. & Cermak, J. E. 1967 Investigation of turbulent radial wall jet. J. Appl. Mech. 34, 457–463.Google Scholar
Saad, N. R., Douglas, W. J. M. & Mujumdar, A. S. 1977 Prediction of heat transfer under an axisymmetric laminar impinging jet. Ind. Engng Chem., Fundam. 16, 148–154.Google Scholar
Schlichting, H. 1979 Boundary Layer Theory. McGraw-Hill.
Strand, T. 1962 Inviscid-incompressible-flow theory of static two-dimensional solid jets in proximity to the ground. J. Aero-space Sci. 29, 170–173; 184.Google Scholar
Tani, I. & Komatsu, Y. 1964 Impingement of a round jet on a flat surface. Proc. 11th Int. Cong. Appl. Mech., Munich, Germany, 672–676.Google Scholar
Tetervin, N. 1948 Laminar flow of a slightly viscous incompressible fluid that issues from a slit and passes over a flat plate. N.A.C.A. Tech. Note 1644.Google Scholar
Tsuji, Y. & Morikawa, Y. 1979 Linear stability of a radial wall jet. Aero. Quart. 30, 544–558.Google Scholar
Vaishnav, R. N., Atabek, H. B. & Patel, D. J. 1978 Properties of intimal layer and adjacent flow. J. Engng. Mech. Div. Proc. A.S.C.E. 104, 67–77.Google Scholar
Van Heiningen, A. R. P., Mujumdar, A. S. & Douglas, W. J. M. 1976 Numerical prediction of the flow field and impingement heat transfer caused by a laminar slot jet. J. Heat Transfer 98, 654–658.Google Scholar
Wolfshtein, M. 1970 Some solutions of the plane turbulent impinging jet. Trans. A.S.M.E. D, J. Basic Engng 92, 915–922.Google Scholar