Question

Determine how density affects the fluid flow velocity. Be specific by coming up with a mathematical relationship between density and fluid flow velocity.

Answer 1

Step-by-step explanation:

The rate of fluid flow through any crossection are is given by

Q = A x v x d

where, A be the area of crossection, d be the density of fluid and v be the velocity of fluid.

So, rate of fluid flow is directly proportional to the velocity of fluid.

So, the velocity of flow increases, the rate of fluid flow also increases.

Answer 2

`Q=\rho.A.v`

Step-by-step explanation:

We have the relation of continuity equation as for compressible fluid flow:

`\dot Q=\rho.A.v`

where:

`\rho=`density of the fluid

A = area of cross-section of the fluid flow

v = velocity of flow

For a compressible fluid, the density varies.

It is also called mass flow rate, having unit as kilogram per second and is proportional to density.

The higher the density more is the mass flow rate of the fluid.