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(2)   (2) Motion equation The motion equations of oil and water phases are as follows: Oil phase: nu_{{{text{o}} {x}}} = - frac{{kk_{text{ro}} partial p}}{{mu_{text{o}} partial x}}.

Primarily six degrees of freedom (DOF) nonlinear motion equations of the vehicle are derived.

Then, the motion equations of fluid droplets along axial and radical directions were established.

The motion equations of ship are formulated and numerically solved coupling the effect of draghead.

The motion equations of the full-car dynamic model can be presented mathematically as [29].

The motion equations of systems are derived on the basis of the thin ring theory and Timoshenko׳s theory.

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The relative motion equation of the system is described using Lagrange method.

The motion equation of the wheel spider model is derived by applying a projection method [15 17].

An unconstrained motion equation is written to derive the motion equation of the wheel spider without the ground.

The motion equation of the wheel spider rolling on the slope is derived by applying constraint force on the ground to the motion equation of the wheel spider without the ground [14].

In this paper, the motion equation of the rolling wheel spider is derived by applying constraint force on the ground to a motion equation of the wheel spider without the ground and considering velocity transformation due to collision [14, 18].

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