Abstract
Solutions are found for a linear model of the circulation near the shore of a lake that is subject to two diurnal forcing mechanisms. The first is the day/night heating/cooling induced horizontal pressure gradient. The second is an unsteady surface stress modelling a sea breeze/gully wind pattern. The two forcing mechanisms can oppose or reinforce each other depending on their relative phase. The interplay of different dynamic balances at different times and locations in the domain lead to complex circulation patterns especially during the period of flow reversal.
Similar content being viewed by others
References
Rattray M Jr, Hansen DV (1962) A similarity solution for circulation in an estuary. J Marine Res 20:121–133
Cormack DE, Leal LG, Imberger J (1974) Natural convection in a shallow cavity with differentially heated end walls. Part 1. asymptotic theory. J Fluid Mech 65:209–229
Imberger J (1975) Natural convection in a shallow cavity with differentially heated end walls. Part 2. experimental results. J Fluid Mech 65:247–260
Cormack DE, Leal LG, Seinfeld JH (1974) Natural convection in a shallow cavity with differentially heated end walls. Part 2. numerical solutions. J Fluid Mech 65:231–246
Cormack DE, Stone GP, Leal LG (1975) The effect of upper surface conditions on convection in a shallow cavity with differentially heated end-walls. Int J Heat Mass Transf 18:635–648
Monismith SB, Imberger J, Morison ML (1990) Convective motions in the sidearm of a small reservoir. Limnol Oceanogr 35:1676–1702
Farrow DE, Patterson JC (1993) On the response of a reservoir sidearm to diurnal heating and cooling. J Fluid Mech 246:143–161
Farrow DE, Patterson JC (1994) The daytime circulation and temperature structure in a reservoir sidearm. Int J Heat Mass Transf 37(13):1957–1968
Lei C, Patterson JC (2002) Unsteady natural convection in a triangular enclosure induced by the absorption of radiation. J Fluid Mech 460:181–209
Mao YD, Lei CW, Patterson JC (2009) Unsteady natural convection in a triangular enclosure induced by absorption of radiation - a revisit by improved scaling alnalysis. J Fluid Mech 622:74–102
Farrow DE, Patterson JC (1993) On the stability of the near shore waters of a lake when subject to solar heating. Int J Heat Mass Transf 36(1):89–100
Mao Y, Lei C, Patterson JC (2010) Characteristics of instability of radiation-induced natural convection in shallow littoral waters. Intl. J. Thermal Sci. 49(1):170–181
Horsch GM, Stefan HG, Gavali S (1994) Numerical simulation of colling-induced convective currents on a littoral slope. Int. J. Numer. Meth. Fluids 19:105–134
Lei C, Patterson JC (2005) Unsteady natural convection in a triangular enclosure induced by surface cooling. Int J Heat Fluid Flow 26:307–321
Mao Y, Lei C, Patterson JC (2010) Unsteady near-shore natural convection induced by surface cooling. J Fluid Mech 642:213–233
Farrow DE (2004) Periodically forced natural convection over slowly varying topography. J Fluid Mech 508:1–21
Lei C, Patterson JC (2006) Natural convection induced by diurnal heating and cooling in a reservoir with slowly varying topography. JSME Int J Ser B 49(3):605–615
Acknowledgments
The author would like to thank S. Brown and the anonymous reviewers for useful comments on earlier drafts of this paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Farrow, D.E. Periodically driven circulation near the shore of a lake. Environ Fluid Mech 13, 243–255 (2013). https://doi.org/10.1007/s10652-012-9261-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10652-012-9261-4