# What is the equation of continuity of fluid?

Table of Contents

## What is the equation of continuity of fluid?

Also, if the fluid is incompressible, the density will remain constant for steady flow. So, ρ1 =ρ2. This was the derivation of continuity equation.

Is equation of continuity valid for compressible fluids?

The continuity equation applies to all fluids, compressible and incompressible flow, Newtonian and non-Newtonian fluids. It expresses the law of conservation of mass at each point in a fluid and must therefore be satisfied at every point in a flow field.

### What is spherical coordinate system in physics?

Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three dimensional systems. In three dimensional space, the spherical coordinate system is used for finding the surface area. These coordinates specify three numbers: radial distance, polar angles and azimuthal angle.

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.

#### What do you mean by equation of continuity explain?

The equation of continuity is simply a mass balance of a fluid flowing through a stationary volume element. It states that the rate of mass accumulation in this volume element equals the rate of mass in minus the rate of mass out.

What are spherical polar coordinates in chemistry?

In three dimensional space, the spherical coordinate system is used for finding the surface area. These coordinates specify three numbers: radial distance, polar angles and azimuthal angle. These are also called spherical polar coordinates.

## What is dA in spherical coordinates?

where dA is an area element taken on the surface of a sphere of radius, r, centered at the origin. We have just shown that the solid angle associated with a sphere is 4π steradians (just as the circle is associated with 2π radians).

What is difference between incompressible fluid and compressible fluid?

The property of volume change is called compressibility and a fluid whose volume changes is called compressible fluid. On the other hand, an incompressible fluid is a fluid which is not compressed or expanded, and its volume is always constant. In reality, a rigorous incompressible fluid does not exist.

### What is the continuity equation and what are its implications relative to fluid flow?

The continuity equation is simply a mathematical expression of the principle of conservation of mass. For a control volume that has a single inlet and a single outlet, the principle of conservation of mass states that, for steady-state flow, the mass flow rate into the volume must equal the mass flow rate out.

What is the significance of continuity equation?

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.