The velocity potential for a certain inviscid, incompressible flow field is given by the equationФ = sin x eᎩwhere has the units m²/s when x and y are in meters. Determine the pressure at x = 1, y = 1if the pressure at x = 0, y = 0 is 100 kPa. The fluid is air.

To Find:The pressure at x=1, y=1 If the pressure at x=0, y=0 is 100 kPa.Given:The equation is Solution:In inviscid, incompressible flow, Bernoulli's equation relates the velocity potential, pressure, and fluid density.The expression for the Bernoulli's equation.Where, P is the pressure. is the density of the fluid.Vx and Vy are the velocity components in the x and y directions.z is the height.The velocity components can be obtained by taking the partial derivatives of with respect to x, and y.Now, let's evaluate these components at the two points.At, At, Now, use Bernoulli's equation.The pressure at is

Engineering

Mechanical Engineering

The velocity potential for a certain inviscid, incompressible flow field is given by the equation Φ sin x ex = where has the units m²/s when x and y are in meters. Determine the pressure at x = 1, y = 1 if the pressure at x = 0, y = 0 is 100 kPa. The fluid is air.

The velocity potential for a certain inviscid, incompressible flow field is given by the equation Φ sin x ex = where has the units m²/s when x and y are in meters. Determine the pressure at x = 1, y = 1 if the pressure at x = 0, y = 0 is 100 kPa. The fluid is air.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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