Why do we need continuity equations?

A continuity equation is useful when a flux can be defined. To define flux, first there must be a quantity q which can flow or move, such as mass, energy, electric charge, momentum, number of molecules, etc. Let ρ be the volume density of this quantity, that is, the amount of q per unit volume.

Which law is followed by equation of continuity?

the law of conservation of mass
The equation proves the law of conservation of mass in fluid dynamics. Also, if the fluid is incompressible, the density will remain constant for steady flow.

What does continuity equation represent?

The continuity equation (Eq. 4.1) is the statement of conservation of mass in the pipeline: mass in minus mass out equals change of mass.

What is continuity equation explain with respect to fluid mechanics?

The continuity equation states that in the case of steady flow, the amount of fluid flowing past one point must be the same as the amount of fluid flowing past another point, or the mass flow rate is constant. It is essentially a statement of the law of conservation of mass.

How is the continuity equation based on the principle of conservation of mass states?

The continuity equation reflects the fact that mass is conserved in any non-nuclear continuum mechanics analysis. The equation is developed by adding up the rate at which mass is flowing in and out of a control volume, and setting the net in-flow equal to the rate of change of mass within it.

Which of the following represents the continuity equation for time varying field?

-dq/dt is the rate of decrease of charge within the volume. This is equation of continuity for time varying fields.

What is the most common assumptions while dealing with fluid flow problems using continuity equation?

5. What is the most common assumption while dealing with fluid flow problems using continuity equation? Explanation: In majority of the fluid flow problems, flow is assumed to be steady. 6.

Which equation is based on the principle of conservation of mass?

1.1 Conservation of mass (continuity equation)

Is continuity equation valid for unsteady flow?

If the fluid is incompressible, then ρ is constant so variation of ρ with respect to any variable (time or space variables) will be zero. So, given continuity equation is valid for incompressible flow whether the flow is steady or unsteady.

Which equation must be satisfied while dealing with fluid flow problems?

Explanation: Continuity equation must be perfunctorily satisfied while dealing with fluid flow problems.

What are the assumptions made for a fluid flow through a pipe?

Explanation: During a fluid flow through a pipe, there are various design considerations. But, the two major assumptions are that the flow is assumed to be fully developed. Also, fluid inertia is not taken into account. Explanation: External diameter is not a global parameter.

How will you experimentally prove the law of conservation of mass?

Answer: Take copper sulphate solution and dissolve it in water in a conical flask. Put cork on the mouth of the flask so that reactants and products do not spill out of flask. The mass of flask and its contents remain the same before as well as after the reaction that proves the law of conservation of mass.

How does the continuity law apply to airfoils?

As the air flows over the airfoil, it is displaced more by the top surface than the bottom. According to the continuity law, this displacement, or loss of flow area, must lead to an increase in velocity. Consider an airfoil in a pipe with flowing water.

What is the continuity equation in piping?

Continuity equation represents that the product of cross-sectional area of the pipe and the fluid speed at any point along the pipe is always constant. This product is equal to the volume flow per second or simply the flow rate.

What is the continuity equation?

The continuity equation is defined as the product of cross sectional area of the pipe and the velocity of the fluid at any given point along the pipe is constant. Continuity Equation Derivation. Continuity equation represents that the product of cross-sectional area of the pipe and the fluid speed at any point along the pipe is always constant.

What is the Bernoulli equation for airfoils?

The Bernoulli equation states that an increase in velocity leads to an decrease in pressure. Thus the higher the velocity of the flow, the lower the pressure. Air flowing over an airfoil will decrease in pressure. The pressure loss over the top surface is greater than that of the bottom surface.