Concept explainers
An incompressible frictionless flow field is given by
The magnitude of the acceleration of a fluid particle at point
The direction of the acceleration of a fluid particle at point
The pressure gradient of fluid at point
Explanation of Solution
Given:
The flow field
The constants
Fluid particle point
Consider the density of water
Calculations:
From the flow field
Calculate the acceleration of the particle along x direction
Calculate the acceleration of the particle along y direction
Calculate the resultant acceleration of a fluid particle at point.
Thus, the magnitude of the acceleration of a fluid particle at point
Calculate the direction of the acceleration of fluid particle
Thus, the direction of the acceleration of a fluid particle at point
Calculate the pressure gradient in x direction.
Thus, the pressure gradient of fluid at point
Calculate the pressure gradient in y direction.
Thus, the pressure gradient of fluid at point
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Chapter 6 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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