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Equation (1) represents the equation of continuity and Eqs.
Laplace's equation is derived from Darcy's law and the equation of continuity.
The equation of continuity states mathematically that mass can neither be created nor destroyed.
The equation of continuity leads to a Poisson equation for the pressure.
The velocity is represented by stream-function expansions which directly satisfy the equation of continuity and the no-slip conditions.
The pressure field is updated using a modified version of the SIMPLER algorithm to satisfy the equation of continuity.
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Based on the equations of continuity and conservation of momentum, this model entails the outputs.
The equations of continuity and momentum balance were solved numerically using a finite volume scheme along with the renormalization-group k ɛ model.
By solving the equations of continuity, momentum and energy numerically, the velocity, pressure and temperature distributions inside the vapor chamber are obtained.
A Bingham flow model and the equations of continuity and motion were used to describe the motion of the SPH particles.
For constant pressure cake filtration, combination of the equations of continuity and motion together with the relevant boundary and initial conditions constitutes a moving boundary problem.
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