Respuesta :
Yes this equation as a general homogeneous equations.
What is homogeneous equation?
An equation with a differentiation, a function, and a number of variables is called a homogeneous differential equation. For any non-zero constant, the function f(x, y) in a homogeneous differential equation is a homogeneous function such that f(x, y) = nf(x, y).
[tex]Q= 8 μ ℓπ R 4 Δp[/tex] is given.
Put primary FLT dimensions to use.
[tex]L 3 T −1 =( 8π ) (FL −2 T) (L)(L) 4 (FL −2[/tex] Adding and removing each side's exponent.
[tex](L) (3) (T) (−1) =( 8π ) (F) (1−1) (L) (4−2+2−1) (T) (−1)[/tex]
[tex](L) 3 (T) −1 =( 8π ) (L) 3 (T) −1[/tex]
The right side and left side of the equation are identical.
The equation is consequently a general homogeneous equation.
Question:
The volume rate of flow, Q, through a pipe containing a slowly moving liquid is given by the equation:
Q=\frac{\pi R^{4} \Delta p}{8 \mu \ell}
Q= 8μℓπR 4 Δp
where R is the pipe racius, \Delta pΔp the pressure drop along the pipe, \muμ a fluid property called viscosity \left(F L^{-2} T\right)(FL
−2
T), and \ellℓ the length of pipe. What are the dimensions of the constant \pi / 8π/8? Would you classify this equation as a general homogeneous equation? Explain.
To learn more about homogeneous equation click on the link below:
https://brainly.com/question/24263638
#SPJ4
