Question

Can Bernoulli’s equation be used to describe the flow of water through a rapid in a river? Explain.

Answer 1

Hint: The flow of water is chaotic into a fast in a river. Bernoulli's theory states in fluid mechanics that a rise in a fluid's velocity happens concurrently with a reduction in static pressure or as well as a decrease throughout the potential energy of the flow.

Complete answer:
Bernoulli’s equation is the theory that is named following Daniel Bernoulli, who introduced it in 1738 in the book Hydrodynamica. While Bernoulli deduced the pressure decreases when the flow velocity increases, Bernoulli's equation is given by Leonhard Euler. The theory refers only to isentropic flows: if the consequences of permanent (such as turbulence) or non-adiabatic processes become minimal and can be ignored.

The theory of Bernoulli can be generalized to various kinds of fluid flow, resulting in different versions of the equation of Bernoulli; with different flow types, there's many different forms for Bernoulli's equation. For incompressible flows, the simple form for Bernoulli's equation is true. More advanced forms can be applied to higher Mach numbers for compressible flows.

It is possible to derive Bernoulli's theory from the principle for energy conservation. This notes it at all points on that streamline, the sum of any and all sources of energy in a liquid along a streamline is the same as in a steady flow. The sum for kinetic energy, internal energy and potential energy must also remain stable.

Hence, Bernoulli's equation can-not be used to describe the flow of water through a rapid in a river.

Note:An increase throughout the velocity of the fluid happens with a simultaneous decrease in the sum of all its potential energy or internal energy, indicating an increase from its kinetic energy (dynamic pressure). The amount of all sources of energy on all flow directions is the same when the fluid flows from a source, since the amount of energy volume will be the same anywhere in a reservoir.