CE 3305 Engineering Fluid Mechanics
Spring 2024 Exercise Set 3

LAST NAME, FIRST NAME

R00000000


Purpose :

Apply concept of density and hydrostatic pressure in different fluids and determine pressure variation in layered fluids of different densities. Apply principles of manometry to determine density of unknown fluid.

Assessment Criteria :

Completion, plausible solutions, use of Jupyter Notebook or equivalent as a calculator/documentation method


Problem 1.

Imagine two tanks (both open to air). Tank A is filled to a depth $h$ with water. Tank B is filled to a depth $h$ with oil.

Determine:

  1. Which tank has the largest pressure?
  2. Why?
  3. Where in the tank does the largest pressure occur?

sketch here

list known quantities

list unknown quantities

governing principles

solution (step-by-step)

In [1]:
# code cell(s) here

discussion


Problem 2.

Below is a schematic of a closed tank with Bourdon-tube gages tapped into it.

Determine:

  1. The specific gravity of the oil?
  2. The pressure reading on gage C?

sketch here

list known quantities

list unknown quantities

governing principles

solution (step-by-step)

In [1]:
# code cell(s) here

discussion


Problem 3.

A device for measuring the specific weight of a liquid consists of a (U-,You-, or Ewe-) Tube manometer as depicted below. The manometer tube has an internal diameter of $0.5~cm$ and originally has water in it. Exactly $2~cm^3$ of unknown liquid is poured into one leg of the manometer, and a displacement of $5~cm$ is measured between the free surfaces as shown.

Determine:

  1. The specific weight of the unknown liquid?

sketch here

list known quantities

list unknown quantities

governing principles

solution (step-by-step)

In [1]:
# code cell(s) here

discussion

In [ ]: