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9 Nov 2019
SHOW ALL WORK TO GET POINTS!!
Combine the incompressible condition u x + v y = 0 with the definition of the potential function to show that the potential function also satisfies Laplace's equation phi xx + phi yy = 0. Ideal fluid flow Topics and skills: Vector fields, partial derivatives, graphing Fluid dynamics deals with the motion of materials that flow. For this reason, fluid dynamics provides the equations that describe the motion of oceans, hurricanes, lava flows, and air around the wing of a supersonic jet. The usual starting point for fluid dynamics is ideal flow. As the name implies, ideal flows are often not very realistic (the physicist Richard Feynman claimed that ideal flow applies only to "dry water"). However, ideal We consider two-dimensional flows in which the velocity vector describing the motion of the fluid at a point (x, y) is You can think of it as the east-west component of velocity and v as the north-south component (Figure 1). Two-dimensional models describe either very shallow flows or flows in which there is no variation in depth.
SHOW ALL WORK TO GET POINTS!!
Combine the incompressible condition u x + v y = 0 with the definition of the potential function to show that the potential function also satisfies Laplace's equation phi xx + phi yy = 0. Ideal fluid flow Topics and skills: Vector fields, partial derivatives, graphing Fluid dynamics deals with the motion of materials that flow. For this reason, fluid dynamics provides the equations that describe the motion of oceans, hurricanes, lava flows, and air around the wing of a supersonic jet. The usual starting point for fluid dynamics is ideal flow. As the name implies, ideal flows are often not very realistic (the physicist Richard Feynman claimed that ideal flow applies only to "dry water"). However, ideal We consider two-dimensional flows in which the velocity vector describing the motion of the fluid at a point (x, y) is You can think of it as the east-west component of velocity and v as the north-south component (Figure 1). Two-dimensional models describe either very shallow flows or flows in which there is no variation in depth.