MATHEMATICAL MODELING OF AN AVALANCHE RELEASE AND ESTIMATION OF FLOW PARAMETERS
MAHMOUD ZARRINI *
Department of Applied Mathematics, University of Ayatollah Boroujerdi, Boroujerd, Iran.
R. N. PRALHAD
Department of Mathematics, Defence Institute of Advanced Technology, Pune, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, estimation of velocity, maximum velocity, dynamic pressure of snow avalanche release and Run-out zone distance over mountain regions are studied. To investigate of mathematical model, we have been taken gravitational, turbulent and friction forces with momentum equation. Computation of flow parameters such as velocity (both in start to track zone and from track to run out zone), maximum velocity (in track zone) and dynamic pressure and estimation of run out distance have been calculated. The flow parameters have been computed for its variation with slope angle, frictional coefficient, eddy viscosity, and different flow heights.
Keywords: Avalanche velocity, dynamic pressure, run-out distance, snow avalanche