Show that this equation is dimensionally homogeneous

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.41P
icon
Related questions
Question

Find: Show that this equation is dimensionally homogeneous

Problem 2
Given: The expression for evaluating the armor weight of a breakwater is
YaH3
W
Kp (Sa – 1)3 cot(a)
where W is the calculated armor weight; H is the design wave height; Ya and Sa are the
specific weight and specific gravity of the armor unit, respectively; K, is an experimentally
determined stability coefficient for the particular armor unit (dimensionless); and a slope
angle of the breakwater.
Required: Show that this equation is dimensionally homogeneous.
Transcribed Image Text:Problem 2 Given: The expression for evaluating the armor weight of a breakwater is YaH3 W Kp (Sa – 1)3 cot(a) where W is the calculated armor weight; H is the design wave height; Ya and Sa are the specific weight and specific gravity of the armor unit, respectively; K, is an experimentally determined stability coefficient for the particular armor unit (dimensionless); and a slope angle of the breakwater. Required: Show that this equation is dimensionally homogeneous.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi…
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning