An equation for the velocity for a 2D planar converging nozzle is w = 0 Where U is the speed of the flow entering into the nozzle, and L is the length. Determine if these satisfy the continuity equation. Write the Navier-Stokes equations in x and y directions, simplify them appropriately, and integrate to determine the pressure distribution P(x,y) in the nozzle. Assume that at x = (0, y = 0, the pressure is a known value, P.

An equation for the velocity for a 2D planar converging nozzle is w = 0 Where U is the speed of the flow entering into the nozzle, and L is the length. Determine if these satisfy the continuity equation. Write the Navier-Stokes equations in x and y directions, simplify them appropriately, and integrate to determine the pressure distribution P(x,y) in the nozzle. Assume that at x = (0, y = 0, the pressure is a known value, P.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

An equation for the velocity for a 2D planar converging nozzle is
Uy
u =U1+
w=0
L
Where U is the speed of the flow entering into the nozzle, and L is the length. Determine if these satisfy the continuity
equation. Write the Navier-Stokes equations in x and y directions, simplify them appropriately, and integrate to
determine the pressure distribution P(x.y) in the nozzle. Assume that at x = 0, y = 0, the pressure is a known value, P.

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