Transportation of sediment particles in a turbulent flow over erodible sediment beds through open channel is of fundamental importance in hydraulics. The knowledge of velocity and concentration distribution help us to understand the sediment transport mechanism in rivers. We work on turbulent flow through open channel and develop mathematical models on vertical distribution of fluid velocity, particle concentration in suspension and grain-size distribution over erodible sediment bed. All the models developed are compared with existing data in literature. Together with this, we are developing expressions on some parameters e.g. bed load layer thickness, settling velocity etc. which are essentially needed to solve the governing equations for the turbulent features previously mentioned. Apart from this deterministic approach, from 2015, we have started studying hydraulics in open channel through probabilistic approach. Entropy theory and principle of maximum entropy are being applied to develop models on velocity, concentration and several other flow characteristics in an open channel flow. Where the classical deterministic approaches to study different flow characteristics give rise to complex differential equations with the need of knowledge of several turbulent features, entropy theory provides us an easy tool for prediction of the same. Also, from 2017, we have started solving the mathematical models of the fluid flow problems through semi-analytical methods, apart from the numerical methods adopted so far for solving the differential equations. Homotopy Analysis Method has been successfully applied to non-linear differential equations arising from the physical problem for finding explicit solution in series form and convergence analysis has also been done.
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Mathematical Modelling of Streamwise Velocity Profile in Open Channels Using Tsallis Entropy Kumbhakar M., Ray R. K., Chakrabarty S. K., Ghoshal K. , Singh V. P. By Communications in Nonlinear Science and Numerical Simulation 94 - (2021)
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Hydrodynamic interaction in suspended sediment distribution of open channel turbulent flow Pal D., Ghoshal K. By Applied Mathematical Modeling - (2017)
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Unsteady two-dimensional suspended sediment transport in open channel flow subject to deposition and re-entrainment Debnath S., Ghoshal K. , Kumar J. By Journal of Engineering Mathematics 126 1-13 (2021)
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Two-dimensional distribution of streamwise velocity in open channel flow using maximum entropy principle: Incorporation of additional constraints based on conservational laws, Kumbhakar M., Ghoshal K. , Singh V. P. By Computer Methods in Applied Mechanics and Engineering 361 - (2020)
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Distribution of sediment concentration in Debris flow using Renyi entropy Ghoshal K., Singh V. P., Kumbhakar M. By Physica A: Statistical Mechanics and its applications 521 267-281 (2019)
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An entropy based model for velocity-dip-position Kundu S., Ghoshal K. By Journal of Environmental Informatics (International Society for Environmental Information Sciences) 33 113-128 (2019)
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Reinvestigation on mixing length in an open channel turbulent flow Kundu S., Kumbhakar M. , Ghoshal K. By Acta Geophysica 382 2297-2304 (2018)
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An explicit analytical expression for bed-load layer thickness based on maximum entropy principle Kumbhakar M., Kundu S. , Ghoshal K. By Physics Letters A 382 2297-2304 (2018)
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Vertical Sediment Concentration Distribution in High-Concentrated Flows: An Analytical Solution Using Homotopy Analysis Method Kumbhakar M., Saha J. , Ghoshal K. , Kumar J. , Singh V. P. By Communications in Theoretical Physics 70 367-378 (2018)
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Suspended Sediment Concentration and Discharge in Open Channels using Renyi Entropy Ghoshal K., Kumbhakar M. , Singh V. P. By Journal of Hydrologic Engineering (ASCE) 23 - (2018)
- Co-Principal Investigator
Ph. D. Students
Arun Kumar
Area of Research: Numerical Analysis
Bhabatosh Kanungo
Area of Research: Mathematical modelling of sediment transport problems
Sumit Sen
Area of Research: Mathematical Modelling of Fluid Flow Problems
Sweta Narayan Sahu
Area of Research: Mathematical modelling of turbulent channel flow and sediment transport process
