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Two different incompressible fluids a and b flow into a chamber through two circular ports of area 0.1 and 0.2 m2 respectively.

  • Fluid a is of density 1,200 kgm−3 and flows directly into the chamber at a speed of 2 ms−1.
  • Fluid b has a density of 1,500 kgm−3 and has a velocity normal to the surface of the chamber inlet port surface of 3 ms−1.
  • The chamber has a single outlet port of area 0.3 m2.

What is the density and the speed of the mixture coming out of the outlet?

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The answer in the back of the textbook says the correct answer is 2.6 m/s for the velocity and 1461 kg/m3 for the density. Does anyone know why my numbers are slightly off, is it possibly due to the fact that fluid B enters normal to the surface. I have attached the question below.

Thanks in advance for any help

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  • $\begingroup$ plz add "homework" tag $\endgroup$
    – Pete W
    Feb 19 at 17:44

1 Answer 1

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The answer rounded the exit velocity to 2.6 instead of 2.67, then, again, dropped the fraction (0.54) after the decimal point:

$\gamma_c = \dfrac{(1200*0.1*2)+(1500*0.2*3)}{(0.3*2.6)} = 1461(.54)$

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