## Introduction to Food Engineering

### Bernoulli's Equation and Power Requirements of a Pump

#### Learning Outcomes

At the end of this module, you will be able to:

1. write various terms of Bernoulli's equation
2. discuss the assumptions used in deriving Bernoulli's equation
3. account for all quantities required to determine power requirments of a pump

In this module, we will discuss Bernoulli’s equation and the assumptions made to derive it. We will not derive Bernoulli’s equation in this module, which we obtain by conducting a force balance on a fluid element as it flows through a pipe. We will consider the various assumptions to help ensure that we apply it to given problems in the correct manner. In the next video, we will examine these assumptions and also write Bernoulli’s equation using “head,” a frequently used term in calculations involving fluids.

The next video is about determining the power requirements of a pump to move a fluid from one location to another in a pipe. We will use Bernoulli’s equation to consider changes in the energy as the fluid moves through the pumping system.

In the above video, we obtained an expression that includes all terms needed for determining the power requirements of a pump. In the next video, we will use the obtained expression to solve a numerical problem. This example should give you a good understanding of how to solve problems involving the power requirements of a pump.

Recap

In this module, you learned various terms and assumptions made in deriving the Bernoulli’s equation. We then used Bernoulli’s equation and other quantities to develop an expression to determine the power requirements of a pump. You solved a numerical example of pumping fluid from one tank to another using the equations developed in this module