Abstract
A digital tracer technique is applied to reconstruct the velocity fields in a convective flow developing in a rectangular cavity filled with a layer of fluid and having a bottom consisting of two heat exchangers kept at different temperatures. The upper boundary of the fluid is free. The structure of the secondary flows in the form of streamwise helicoidal rolls generated in the boundary layer over a hot plate is studied. It is shown that the centers of roll rotation coincide with temperature minima in the boundary layer, while the roll shape and dimensions vary with the distance from the temperature jump. With increase in the temperature difference the roll dimensions decrease but the velocity of their rotation increases.
Similar content being viewed by others
References
G.Z. Gershuni and E.M. Zhukhovitskii, “Stability of Plane-Parallel Convective Flows with Respect to Three-Dimensional Disturbances,” Prikl. Mat. Mekh. 33, 855 (1969).
E.M. Sparrow and R.B. Husar, “Longitudinal Vortices in Natural Convection Flow on Inclined Plates,” J. Fluid Mech. 37, 251 (1969).
R. Biertumpfel and H. Beer, “Natural Convection Heat Transfer Increase at the Laminar-Turbulent Transition in the Presence of Instationary Longitudinal Vortices,” Int. J. Heat Mass Transfer 46, 3109 (2003).
H. Shaukatullah and B. Gebhart, “An Experimental Investigation of Natural Convection Flow on an Inclined Surface,” Int. J. Heat Mass Transfer 21, 1481 (1978).
G.Z. Gershuni, E.M. Zhukhovitskii, and A.A. Nepomnyashchii, Stability of Convective Flows [in Russian], Nauka, Moscow (1989).
J.C. Mullarney, R.W. Griffiths, and G.O. Hughes, “Convection Driven by Differential Heating at a Horizontal Boundary,” J. Fluid Mech. 516, 181 (2004).
E. Schroder and K. Buhler, “Three-Dimensional Convection in Rectangular Domains with Horizontal Throughflow,” Int. J. Heat Mass Transfer 38, 1249 (1995).
M.C. Kim, J.S. Baik, I.G. Hwang, D.-Y. Yoon, and C. K. Choi, “Buoyancy-Driven Convection in Plane Poiseuille Flow,” Chem. Engng. Sci. 54, 619 (1999).
R.A. Brown and D. Etling, “Roll Vortices in the Planetary Boundary Layer: A Review,” Boundary-Layer Meteor. 65, 215 (1993).
J. Wurman and L. Winslow, “Intense Sub-Kilometer-Scale Boundary Layer Rolls in Hurricane Fran,” Science 280, No. 5363, 555 (1998).
I. Morrison, S. Businger, F. Marks, P. Dodge, and J. A. Businger, “An Observational Case for the Prevalence of Roll Vortices in the Hurricane Boundary Layer,” J. Atmos. Sci. 62, 2662 (2005).
R.C. Foster, “Why Rolls are Prevalent in the Hurricane Boundary Layer,” J. Atmos. Sci. 62, 2647 (2005).
I. Ginis, A.P. Khain, and E. Morozovsky, “Effects of Large Eddies on the Structure of the Marine Boundary Layer under Strong Wind Conditions,” J. Atmos. Sci. 61, 3049 (2004).
G.P. Bogatyrev, “Excitation of a Cyclonic Vortex or a Laboratory Model of a Tropical Cyclone,” Pisma ZhETF 51, 557 (1990).
V.G. Batalov, G.V. Levina, A.N. Sukhanovskii, and P.G. Frik, “Velocity Fields in a Large-Scale Vortex over a Localized Heat Source in a Rotating Fluid Layer,” in Hydrodynamics. No. 14 [in Russian], Perm Univ. Press, Perm (2004), p. 9.
N.B. Vargaftik, Handbook on the Thermophysical Properties of Gases and Liquids [in Russian], Nauka, Moscow (1972).
M. Raffel, C. Willert, and J. Kompenhans, Particle Image Velocimetry: A Practical Guide, Springer, Berlin (1988).
V.D. Zimin and P.G. Frik, Turbulent Convection [in Russian], Nauka, Moscow (1988).
J.L. Tuh and T.F. Lin, “Structure of Mixed Convective Longitudinal Vortex Air Flow Driven by a Heated Circular Plate Embedded in the Bottom of a Horizontal Flat Duct,” Int. J. Heat Mass Transfer 46, 1341 (2003).
Additional information
Original Russian Text © V.G. Batalov, A.N. Sukhanovskii, P.G. Frik, 2007, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2007, Vol. 42, No. 4, pp. 39–49.
Rights and permissions
About this article
Cite this article
Batalov, V.G., Sukhanovskii, A.N. & Frik, P.G. Experimental investigation of helicoidal rolls in an advective flow over a hot horizontal surface. Fluid Dyn 42, 540–549 (2007). https://doi.org/10.1134/S0015462807040047
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0015462807040047