Milk Mass and Volume Balance Equation Quiz

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What is the equation used to express mass balance in this context?

$\rho_1A_1v_1 = \rho_2A_2(v_1 - v_3) + \rho_3A_3v_3$

$\rho_1A_1v_1 = \rho_2A_2v_2 + \rho_3A_3v_3$ (correct)

$\rho_2A_2v_2 = \rho_1(A_1v_1 - A_3v_3) + \rho_3A_3v_3$

$\rho_1A_1v_1 = \rho_2(A_1v_1 - A_3v_3) + \rho_3A_3v_3$

Based on the information provided, what does the expression $A_1v_1(\rho_1 - \rho_2) = A_3v_3(\rho_3 - \rho_2)$ represent?

Mass conservation equation

Density balance equation (correct)

Energy balance equation

Continuity equation

What is the value of volume flow rate $v_2$ when substituting known values into the provided equation?

$0.22 ms^{-1}$

$0.39 ms^{-1}$

$1.1 ms^{-1}$ (correct)

$0.23 ms^{-1}$

In the context of fluid flow analysis, what is another important quantity along with mass balance that needs consideration?

Energy balance Signup and view all the answers

What changes in terms of energy are considered between two sections of fluid flow according to the text?

Changes in gravitational energy Signup and view all the answers

If the density of water is $1000 kg/m^3$, what is the approximate density of raw milk according to the provided information?

$1035 kg/m^3$ Signup and view all the answers

What happens if inconsistent units are used in calculating the Reynolds number (Re)?

The value of (Re) is greater by a factor of 10 Signup and view all the answers

In Bernouilli's equation, what does the symbol Ef represent?

Energy loss due to friction in pipes Signup and view all the answers

What is the relationship between energy loss due to friction in pipes and Reynolds number (Re)?

Directly proportional to (Re) Signup and view all the answers

What factor influences the energy loss due to friction in pipes apart from the fluid's velocity pressure?

Viscosity of the fluid Signup and view all the answers

Why is consistency in units important when calculating energy losses in flow?

To make deductions more accurate Signup and view all the answers

Which system of units is specifically recommended for use in calculations according to the text?

Metric system Signup and view all the answers

What is the purpose of including the mechanical energy added by the pump in the energy balance of a fluid system?

To ensure the total energy balance between different sections of the fluid system Signup and view all the answers

In the context of the text, which term represents the mechanical energy added by the pump per kg of fluid?

Ec Signup and view all the answers

What does Bernoulli's equation establish in the context of fluid energy balance?

It equates the total energy of fluid entering a section to that leaving, accounting for energy losses and gains Signup and view all the answers

Which term in Bernoulli's equation represents the potential energy per unit mass at section 1 of the fluid system?

$Z_1g$ Signup and view all the answers

When considering the energy balance in a fluid system, what does Ek represent?

Kinetic energy per unit mass Signup and view all the answers

Why are compressibility terms usually ignored when dealing with gases at low pressures in an energy balance calculation?

They are negligible compared to other energy terms being considered Signup and view all the answers