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What is continuity equation for compressible fluids?
The continuity equation for compressible fluids states that the rate of change of density (ρ) in a fluid is equal to -∇⋅(ρu), where ρ is density, u is velocity, and ∇⋅ is the divergence operator. This equation is derived from the conservation of mass principle in fluid dynamics.
What is the properties of gass?
They are fluid (can flow into and takes the shape of any container), compressible (volume can decrease without change in mass), and have no fixed shape.
Does the rest mass of an object increase with temperature?
No.
Can we say mass vary with temperature for exp the mass of solid increase or decrease when temperature increase?
Mass of any chemical, in Chemistry, is always constant, no matter how much you change the conditions.
What is the significance of the continuity equation in maintaining mass conservation in compressible flow?
The continuity equation is important in compressible flow because it ensures that mass is conserved. It states that the rate of mass entering a system must equal the rate of mass leaving the system, helping to maintain balance and accuracy in calculations for compressible fluids.
Explain why fluid pressure varies with depth in a liquid and a gas?
Because the mass of the fluid column increase.
When the temperature of a liquid is increased will the mass increase?
No. That would violate the Newtonian principle of Conservation of Mass.
What happens to the density of a fluid if you change its mass but keep the volume constant?
If you change the mass of a fluid while keeping the volume constant, the density of the fluid will change. Density is calculated as mass divided by volume, so if the mass changes but the volume stays the same, the density will increase if the mass increases and decrease if the mass decreases.
What happens to the air temperature of a descending air mass?
Generally, the air temperature of a descending air mass will increase. This is due to the incredible mount of pressure placed on it. Generally, the air mass will also experience an increase in humidity.
Does a fluid's density change when it is compressed and attenuated?
Yes it does change because its mass does not change but its volume does. When it is compressed the density will increase because its volume does. When it is attenuated will decrease because the volume does. Density is mass over volume. Remember: it only works because its mass stays the same and the volume changes.
When temperature increases density increases or decreases?
An increase in temperature usually causes an increase in volume. Since the mass doesn't change, density decreases. tt
How do you increase the relative humidity of an air mass?
Add water (vapor) ... evaporation. Lower the temperature of the air mass.
