# Does continuity equation apply to viscous flow?

## Does continuity equation apply to viscous flow?

The more viscous the fluid, the larger the pressure drop need to obtain the same volumetric flow rate, or the same average velocity V. The only (and short) answer to the question is yes – if you are talking about volumetric flow rate and incompressible flow: it is a direct consequence of the continuity equation.

### What does the continuity equation tell us?

The continuity equation describes the transport of some quantities like fluid or gas. 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.

Which is correct relation for equation of continuity?

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ρ A v = constant The equation proves the law of conservation of mass in fluid dynamics.

What is the equation of continuity in fluid dynamics?

In fluid dynamics, the continuity equation states that the rate at which mass enters a system is equal to the rate at which mass leaves the system plus the accumulation of mass within the system. ∂ρ ∂t + ∇. (ρ q)=0.

## 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.

What is the viscosity for real fluid?

Real fluid: Fluid that have viscosity(μ > 0) and their motion known as viscous flow. All the fluids in actual practice are real fluids.

Which one of the following is the continuity equation in differential form?

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One way to analyze the mass in a system is by using a control volume. In turn, this will result in the continuity equation ∂∂t∫CVρdV+∫CSρv·ˆndA=0.

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

continuity principle, orcontinuity equation, Principle of fluid mechanics. Stated simply, what flows into a defined volume in a defined time, minus what flows out of that volume in that time, must accumulate in that volume. The principle is a consequence of the law of conservation of mass.

### 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 equation of continuity give two of its application?

This statement is called the Equation of Continuity. Common application where the Equation of Continuity are used are pipes, tubes and ducts with flowing fluids or gases, rivers, overall processes as power plants, diaries, logistics in general, roads, computer networks and semiconductor technology and more.

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

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

## What is the continuity equation in fluid dynamics?

The continuity equation in fluid dynamics describes that in any steady-state process, the rate at which mass leaves the system is equal to the rate at which mass enters a system. When can the Continuity equation be used?

### What is the difference between viscosity and density in fluid dynamics?

In fluid dynamics, viscosity is the parameter to measure the thickness or thinness of any given fluid. Density is the measure of spaces between two particles in a given fluid.

What is the effect of temperature on viscosity?

In general, for any fluids, when the temperature is increased, its density decreases, thus the fluid becomes less viscous. In fluids, Kinematic viscosity is the ratio of dynamic viscosity to density.

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.