Articles written in Sadhana



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      This special issue of Sadhana is a compilation of invited papers from the 42nd National Conference on Fluid Mechanics and Fluid Power (FMFP), held at National Institute of Technology,. Surathkal, Karnataka, during December 14–16, 2015.Broadly speaking, Fluid Mechanics is a branch of continuum mechanics that describes the motion of fluids (liquids and gases). The subject has a long and rather rich history, starting perhaps with Archimedes’ ‘‘Eureka’’ moment. Importantly,solution for some of the most challenging problems being faced by our society today, e.g., prediction of climate, harnessing of renewable energy (e.g., via wind, hydrokinetic generators), creating low-cost healthcare (e.g., via point-of-care medical testing) and improvement of energy efficiency of fluid power systems, depends on improving our understanding of Fluid Mechanics.

    • Analysis of dispersion of heated effluent from power plant: a case study


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      Thermal dispersion of heated effluent in a lake near nuclear power plant is analysed. Lake Bathymetry is established by data collection at a pre-planned matrix of sample points in the lake. Threedimensional geometric model of the lake is developed based on the geometric data collected, using a high accuracy GPS and a dead weight based depth meter at respective sample points of the lake matrix. A turbine type digital flow meter is used to measure the velocities at the intake and blow down points of the lake. Numerical analysis of flow and thermal dispersion is carried out using PLIC-VOF two-phase model with the two-equationk-epsilon model for turbulence closure. Numerical results for varying flow and blow down temperature conditions and wind speed are studied. It is observed that the thermal gradients are steeper in the curved area near the blowdown point. Small increase in main inlet (inlet II) velocity suppresses the dispersion of high-temperature contours significantly. Thermal discharge and dispersed temperature is monitored using temperature sensor mounted floating buoy at various locations in the lake. It is established that the thermal dispersion is influenced by wind velocity and the presence of water hyacinth in the lake.

    • Properties of blended advection schemes for hyperbolic conservation laws


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      The fidelity of an advection-dominant numerical solution is significantly affected by the order of approximation applied for the given scalar. Numerical schemes that apply this approximation are generally prone to dissipative and dispersive errors while capturing sharp discontinuities in the scalar values. Hence, thepresent study introduces the Fromm-scheme-based blending formulation for two blended schemes that demonstrate the accuracy and monotonicity while capturing the discontinuity in the numerical solution. The present study demonstrates the spectral analysis for the stability and accuracy of these blended schemes. The proposed blended schemes are applied to the pure advection problems and are compared to their constituent higher-order schemes and other blended schemes. Furthermore, these schemes are also applied over the lid driven cavity and one-dimensional dam break problems to estimate their performance over an unknown velocity field.

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