What does it mean to satisfy the continuity equation?

The continuity equation is an expression representing the idea that matter is conserved in a flow. Per unit volume, the sum of all masses flowing in and out per unit time must be equal to the change of mass due to change in density per unit time.

What are the assumptions of the continuity equation?

Assumption of Continuity Equation The tube is having a single entry and single exit. The fluid flowing in the tube is non-viscous. The flow is incompressible. The fluid flow is steady.

What does the equation of continuity tell us about movement of an ideal fluid?

The equation of continuity can show how much the speed of a liquid increases if it is forced to flow through a smaller area. For example, if the area of a pipe is halved, the velocity of the fluid will double.

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

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

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.

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

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.

Why is the continuity equation called the continuity equation?

Since there is no flow through the side walls of the duct, what mass comes in over A_1 goes out of A_2, (the flow is steady so that there is no mass accumulation). This equation is called the continuity equation for steady one-dimensional flow.

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 of the following Cannot be the value of a fluid’s absolute pressure at any point?

Which of the following cannot be the value of absolute pressure of a fluid at any point? Explanation: Absolute zero pressure is the reference used for the measurement of absolute pressure. Absolute zero pressure is possible (theoretically). Hence, 0 and positive values are possible, but a negative value is impossible.

Which equation must be perfunctorily satisfied?

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

What is the more general form of the continuity equation?

The more general form for the continuity equation is based on conservation of mass (i.e., mass per time entering = mass per time exiting), and states where is the mass flow rate (i.e., mass per time). This means that if the fluid increases in velocity, it must decrease in density.

How does the equation of continuity relate to mass conservation?

The equation of continuity expresses the law of mass conservation. Specifically, the equation of continuity expresses how fluid density changes according to the mass flow from a certain unit volume. The first term on the left-hand side of Eq. (2.7) expresses the time change of fluid density per unit domain.

What is the principle of continuity in physics?

What is the principle of continuity? The continuity equation describes the transport of some quantities like fluid or gas. For example, the equation explains how a fluid conserves mass in its motion. Many physical phenomena like energy, mass, momentum, natural quantities, and electric charge are conserved using the continuity equations.

What is the continuity equation for an incompressible fluid?

In the form you’ve stated it ( A 1 v 1 = A 2 v 2 ), the continuity equation is only holds for incompressible fluids. So what you’ve found is that the type of accelerated flow you’re describing cannot happen for an incompressible fluid in a pipe of uniform cross-section.