Engineering: The u velocity component of a steady, two-dimensional, incompressible flow field is u = 3 ax 2 - 2 bxy, where a and b are constants. Velocity component v is unknown. Generate an expression for u as a function of x and y.

The answer is D. since you need to find the radius you would divide 5.7 by two which is 2.85. but since you are leaving it in terms of pi would you keep it as 5.7 since circumference of a circle is 2*pi*r...

The u velocity component of a steady, two-dimensional,

Ответ:

janneemanoeee

31.01.2022

Engineering

The velocity component v is -6axy+2by^2+f(x)

Explanation:

Given that,

The velocity component of a steady, two-dimensional

u=3ax^2-2bxy

We need to calculate the function of x

Using given equation

u=3ax^2-2bxy

Where, a and b is constant

On differential

$\dfrac{du}{dx}=6ax-2by$

We need to calculate the velocity component v

Using equation of velocity

$\dfrac{dv}{dy}=-\dfrac{du}{dx}-\dfrac{dw}{dz}$

Put the value into the formula

$\dfrac{dv}{dy}=-6ax+2by-0$

Now, on integration w.r.t y

v=-6axy+2by^2+f(x)

Hence, The velocity component v is -6axy+2by^2+f(x)

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The u velocity component of a steady, two-dimensional, incompressible flow field is u = 3 ax 2 - 2 bxy, where a and b are constants. Velocity component v is unknown. Generate an expression for u as a function of x and y.

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