Abstract
The flow of viscous fluids is described by the Navier-Stokes equations. These equations are non-linear. Analytical solutions exist only for some simple flows. Physical and numerical experiments are therefore indispensable tools in fluid mechanics. It is not the intention to give any kind of introduction into fluid mechanics or the theory of turbulence. Excellent treatments of these topics are found in Batchelor (1960, 1967), Monin & Yaglom (1971), Hinze (1975), Tennekes & Lumley (1992) and others. The presentation of some well known and widely used balance equations for momentum, energy and enstrophy should merely illustrate what kind of expressions one wishes to determine by velocity measurements in turbulent flows.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abdel-Rahman, A., Tropea, C., Slawson, P. & Strong, A. (1987). On temperature compensation in hotwire anemometry. J. Phys. E: Sci. Instrum. 20, pp. 315.
Antonia, R. A., Shah, D. A. & Browne, L. W. B. (1987). Spectra of velocity derivatives in a turbulent wake. Phys. Fluids 30 (11), pp. 3455.
Antonia, R. A., Shah, D. A. & Browne, L. W. B. (1988). Dissipation and vorticity spectra in a turbulent wake. Phys. Fluids 31, pp. 1805.
Ashurst, W. T., Kerstein, A. R., Kerr, R. M. & Gibson, C. H. (1987). Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids 30 (8), pp. 2343.
Balint, J.-L. (1986). „Contribution á l’étude de la structure tourbillonnaire d’une couche limité turbulente au moyen d’une sonde a neup fils chauds mesurant le rotationnel“. PhD Thesis, University Claude Bernard-Lyon.
Balint, J.-L. , Wallace, J. M. , & Vukoslaviĉevié, P. (1991). The velocity and vorticity vector fields of a turbulent boundary layer. Part 2. Statistical properties. J. Fluid Mech. 228, pp. 53.
Batchelor, G. (1960). “An Introduction to Fluid Mechanics”, Cambridge Univ. Press, U.K.
Batchelor, G. (1967). “The Theory of Homogeneous Turbulence”, Cambridge Univ. Press, U.K.
Bearmann, P. W. (1971). Corrections for the effect of ambient temperature drift on hot-wire measurements in incompressible flow. DISA Inf. 11.
Betchov, R. (1956). An inequality concerning the production of vorticity in isotropic turbulence. J. Fluid Mech. 1, pp. 497.
Bruun, H. H. & Tropea, C. (1985). The calibration of inclined hot-wire probes. J. Phys. E: Sci. Instrum. 18, pp. 405.
Chew, Y. T. & Ha, S. M. (1988). The directional sensitivities of crossed and triple hot-wire probes. J. Phys. E: Sci. Instrum. 21, pp. 613.
Collis, D. C. & Williams, M. J. (1959). Two-dimensional convection from heated wires at low Reynolds numbers. J. Fluid Mech. 16, pp. 357.
Döbbeling, K. (1990). “Experimentelle und theoretische Untersuchung an stark verdrallten, turbulenten isothermen Strömungen”. PhD Thesis, TU Karlsruhe.
Dracos, T., Kholmyansky, M., Kit, E. & Tsinober, A. (1989). Some experimental results on velocityvelocity gradients measurements in turbulent grid flows. Proc. of the IUTAM Symp. on Topological Fluid Mechanics, Cambridge Univ. Press.
Foss, J. F. (1976). Accuracy and uncertainty of transverse vorticity measurements. Bull. of the Am. Phys. Soc. 21, pp. 1237.
Foss, J. F. (1981). Advanced techniques for transverse vorticity measurements. Proc. of the 7th Biennial Symp. of Turbulence, Univ. of Missouri-Rolla.
Hinze, J. O. (1975). „Turbulence“. McGraw Hill.
Idelchik, I. E. (1986). „Handbook of Hydraulic Resistance“. Springer-Verlag.
Jiménez, J., Wray, A. A, Saffman, P. G. & Rogallo, R. S. (1992). The structure of intense vorticity in homogeneous isotropic turbulence. CTR, Proc. of the Summer Progr. 1992.
Jiménez, J. (1992). Kinematic alignment effects in turbulent flows. Phys. Fluids A 4 (4), pp. 652.
Jørgensen, F. E. (1971). Directional sensitivity of wire and fiber-film probes. DISA Inf. 11.
Kastrinakis, E. G. & Eckelmann, H. (1983). Measurement of streamwise vorticity fluctuations in a turbulent channel flow. J. Fluid Mech. 137, pp. 165.
Kastrinakis, E. G., Nychas, S. G. & Eckelmann, H. (1984). Vorticity and velocity measurements in a fully developed turbulent channel flow. Turbulence and Chaotic Phenomena in Fluids (ed. T. Tatsumi), IUTAM.
Kavence, G. & Oka, S. (1973). Correcting hot-wire readings for influence of fluid temperature variations. DISA Inf. 15.
Kim, J., Moin, P. & Moser, R. (1987). Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, pp. 133.
King, L. V. (1914). On the convection of heat from small cylinders in a stream of fluid. Determination of convective constants of small platinum wires with application to hot-wire anemometry. Phil. Trans. A 214, pp. 373.
Kit, E., Tsinober, A., Balint, J.-L., Wallace, J. M. & Levich, E. (1987). An experimental study of helicity related properties of a turbulent flow past a grid. Phys. Fluids 30 (11), pp.3323.
Klebanoff, P. S. (1954). Characteristics of turbulence in a boundary layer with zero pressure gradient. NACA TN 3178.
Kovasznay, L. S. G. (1954). Turbulence measurements. Physical Measurements in Gas Dynamics and Combustion (10), Princeton Univ. Press, pp. 213.
Kramers, H. (1946). Heat transfer from spheres to flowing media. Physica 12, pp. 61.
Lasser, D. (1987). „Bernstein-Bézier-Darstellung trivariater Splines“. PhD. Thesis, TU Darmstadt.
Lemonis, G., Dracos, T. & Tsinober, A. (1994). Velocity gradient depending quantities in turbulent grid flow. Proc. of the 5th European Turbulence Conference (ed. E. Benzi), Kluwer Acad. Publ.
Lemonis, G. & Dracos, T. (1995). A new calibration and data reduction method for turbulence measurements by multi-hotwire probes. Exp. Fluids 18, pp. 319.
Lemonis, G. (1995). “An Experimental Study of the Vector Fields of Velocity and Vorticity in Turbulent Flows”. PhD Thesis, ETH Zurich.
Lomas, C. G. (1986). „Fundamentals of hot-wire anemometry“. Cambridge Univ. Press.
Mi, J. & Antonia, R. A. (1994). Vorticity characteristics of the turbulent intermediate wake. Proc. of the 5th European Turbulence Conference (ed. E. Benzi), Kluwer Acad. Publ.
Monin, A.S. & Yaglom, A.M. (1971). “Statistical Fluid Mechanics“, Vol. 1.2, MIT Press, Cambridge Mass., U.S.A.
Müller, U. R. (1987). Comparison of turbulence measurements with single, X- and triple hot-wire probes. Berichte VDI 121, pp. 62.
Ong, L. (1992). „Visualization of Turbulent Flows with Simultaneous Velocity and Vorticity Measurements“. PhD thesis. Univ. Maryland, College Park.
Pailhas, G. & Cousteix, J. (1986). Method for analyzing four-hot-wire probe measurements. Rech. Aerosp. 1986–2, pp. 79.
Perry, A. E. (1982). „Hot-wire anemometry“. Clarendon Press, Oxford.
Piomelli, U., Balint, J.-L. & Wallace, J. M. (1989). On the validity of Taylor’s hypothesis for wallbounded turbulent flows. Phys. Fluids ,A1, pp. 609.
Pompeo, L. (1992). „An experimental study of three-dimensional turbulent boundary layers“. PhD. Thesis, ETH Zurich.
Rosemann, H. (1989). Einfluß der Geometrie von Mehrfach-Hitzdrahtsonden auf die Meßergebnisse in turbulenten Strömungen. DLR-FB 89–26.
Samet, F. & Einav, S. (1987). A hot-wire technique for simultaneous measurement of instantaneous velocities in 3-D flows. J. Phys. E: Sci. Instrum., 20, pp.683.
Taylor, G. I. (1935). Statistical theory of turbulence. Proc. Roy. Soc. London, A 151, pp. 421.
Tennekes, H. & Lumley, J. L. (1992). „A First Course in Turbulence“. MIT Press.
Townsend, A. A (1976). „The Structure of Turbulent Shear Flow“. Cambridge Univ. Press.
Tsinober, A., Kit, E. & Dracos, T. (1992). Experimental investigation of the field of velocity gradients in turbulent flows. J. Fluid Mech. 242, pp. 169.
Tsinober, A., Kit, E. & Dracos, T. (1993). Velocity gradients in a turbulent jet flow. Applied Scientific Research 51. Advances in Turbulence IV (ed. F.T.M. Nieuwstadt). Kluwer Acad. Publ., pp. 185.
Vukoslaviĉeviĉ, P. , Wallace, J. M. & Balint, J.-L. (1991). The velocity and vorticity vector fields of a turbulent boundary layer. Part 1. Simultaneous measurement by hot-wire anemometry. J. Fluid Mech. 228, pp. 25.
Wagner, T. C. & Kent, J. C. (1988). On the directional sensitivity of hot-wires: a new look at an old phenomenon. Exper. Fluids 6, pp. 553.
Wallace, J. M. (1986). Methods of mneasuring vorticity in turbulent flows. Exper. Fluids 4, pp. 61.
Wallace, J. M. & Ong, L. (1994). Local isotropy of the vorticity field in a boundary layer at high Reynolds numbers. Proc. of the 5th European Turbulence Conference (ed. E. Benzi), Kluwer Acad. Publ.
Wyngaard, J. C. (1969). Spatial resolution of the vorticity meter and other hot wire arrays. J. Phys. E: Sci. Instrum. 2, pp. 983.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Lemonis, G., Dracos, T. (1996). Determination of 3-D Velocity and Vorticity Vectors in Turbulent Flows by Multi-Hotwire Anemometry. In: Dracos, T. (eds) Three-Dimensional Velocity and Vorticity Measuring and Image Analysis Techniques. ERCOFTAC Series, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8727-3_1
Download citation
DOI: https://doi.org/10.1007/978-94-015-8727-3_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4757-1
Online ISBN: 978-94-015-8727-3
eBook Packages: Springer Book Archive