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A numerical dye method for the visualization of unsteady three-dimensional flow calculations is introduced by coupling the unsteady convection diffusion equation to the Navier Stokes equation for mass and momentum.
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The model tackles transient behavior of the system by coupling unsteady energy balance equation solver with Monte Carlo (MC) ray tracing method.
Second-order temporal accuracy is forfeited for unsteady simulations by coupling DP-LUR with dual time-stepping strategy.
The coupling between the unsteady heat release and oncoming flow disturbance is characterized by using interaction index-delay H-τ model.
Absorption of gases by a stationary droplet growing in a stagnant supersaturated medium is analyzed by solving the coupled unsteady state mass and energy balance equations for the gas and droplet phases.
By solving the coupled functions of unsteady Navier Stokes equations, six degrees of freedom dynamic equations and structural dynamic equations simultaneously, the store separation with the elastic deformation of the aircraft considered is simulated numerically.
The problem is described by the coupling of an unsteady mass (or heat) transfer phenomenon (or substance release) by diffusion (or conduction) into a body and by transport (or convection) phenomena inside the field where the fluid is flowing; the transport field is given, for example, by a potential solution (see, for example, [55]).
Wang [6] in 1990 first studied the hydrodynamics of an unsteady stretching surface in a thin liquid film of a flow by converting the unsteady Navier-Stokes equations to a nonlinear ordinary differential equations by means of a similarity transformation.
The aerodynamic model in engineering technique is instead by the real-time unsteady aerodynamic forces/moments in the new coupled technique including unsteady effect of aerodynamics induced by motion of vehicle and deflection of aileron.
Someone pulled out a penknife and, guided only by the unsteady beam of a flashlight, tried to pry him loose.
In the presence of wave, there also exists inertial force caused by the unsteady oscillating motion besides the drag force.
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