Equations of Motion 1
Equations of Motion 1 : A set of hydrodynamical equations representing the application of Newton's second law of motion to a fluid system. The total acceleration on an individual fluid particle is equated to the sum of the forces acting on the particle within the fluid.Written for a unit mass of fluid in motion in a coordinate system fixed at a point on the earth's surface, the vector equation of motion for the atmosphere is: dV = -2flxV-gk- IVp + F dt P where V is the three-dimensional velocity vector, Q the angular velocity of the earth, k a unit vec?tor directed upward, perpendicular to the earth's surface at the point in question, p the density, p the pressure, g the acceleration of gravity, and F the frictional force per unit mass. When applied to the atmosphere's horizontal motion, the coriolis acceleration terms 2Q x V are usually approximated by the two horizontal components i2Q sin
No records Found