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Dynamics of a droplet in oscillatory and pulsating flows of a Newtonian fluidin a microchannel has been studied numerically. The effects of oscillationfrequency, surface tension, and channel flow rate have been explored bysimulating the drop within a microchannel. These types of flows introduce newequilibrium positions for the drop compared to steady flows with similarconditions. The simulation results are very sensitive to the grid resolutiondue to the unsteady behavior of the base flow. Therefore, a set of fine gridshave been used in this study to capture the physics of this problem moreaccurately. However, these fine grids make the computations significantlyexpensive. Therefore, a Multi Fidelity Gaussian processes method with twolevels of fidelity has been used to predict the results of the remainingfine-grid simulations along with their uncertainties based on theircorrelations with those of the coarse-grid cases over a wide range of inputparameters.

physics of fluids

Dynamics of a droplet migration in oscillatory and pulsating  microchannel flows and prediction and uncertainty quantification of its  lateral equilibrium position using Multi Fidelity Gaussian processes