#### Mass conservation equation

## What is conservation of mass in physics?

Conservation of mass, principle that the mass of an object or collection of objects never changes, no matter how the constituent parts rearrange themselves. Mass has been viewed in physics in two compatible ways.

## What is meant by equation of continuity?

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 is the continuity equation for incompressible flow?

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. So, ρ_{1} =ρ_{2}. This was the derivation of continuity equation.

## Who gives law of conservation of mass?

Antoine Lavoisier’s

## What is law of conservation of mass with example?

The law of conservation of mass states that matter cannot be created or destroyed in a chemical reaction. For example, when wood burns, the mass of the soot, ashes, and gases, equals the original mass of the charcoal and the oxygen when it first reacted. So the mass of the product equals the mass of the reactant.

## What are the 3 conditions of continuity?

Key Concepts. For a function to be continuous at a point, it must be defined at that point, its limit must exist at the point, and the value of the function at that point must equal the value of the limit at that point.

## Why do we use continuity equation?

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.

## What is the equation of Bernoulli’s Theorem?

The simplified form of Bernoulli’s equation can be summarized in the following memorable word equation: static pressure + dynamic pressure = total pressure. Every point in a steadily flowing fluid, regardless of the fluid speed at that point, has its own unique static pressure p and dynamic pressure q.

## What is the principle of continuity?

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.

## What is meant by continuity of flow?

If steady flow exists in a channel and the principle of conservation of mass is applied to the system, there exists a continuity of flow, defined as: “The mean velocities at all cross sections having equal areas are then equal, and if the areas are not equal, the velocities are inversely proportional to the areas of

## What is steady flow?

fluid mechanics In steady flow, the fluid is in motion but the streamlines are fixed. Where the streamlines crowd together, the fluid velocity is relatively high; where they open out, the fluid becomes relatively stagnant.

## What are the three equation of motion?

There are three equations of motion that can be used to derive components such as displacement(s), velocity (initial and final), time(t) and acceleration(a). The following are the three equation of motion: First Equation of Motion : v=u+at. Second Equation of Motion : s=ut+frac{1}{2}at^2.

## How is flow rate calculated?

The flow rate formula, in general, is Q = A × v, where Q is the flow rate, A is the cross-sectional area at a point in the path of the flow and v is the velocity of the liquid at that point.