In fluid dynamics it is common to describe quantities that vary both with location (x, y, z) and with time (t), e.g. q=f(x, y, z, t). Dą _ aq *+ (v. ) q The total derivative of q is expressed as Dt at a) What are the names of the two terms on the right hand side, and what are their meanings? Dp b) If such quantity is the scalar density of the fluid, p in kg/m³, what principle does indicate? Dt

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
In fluid dynamics it is common to describe quantities that vary both with location (x, y, z) and
with time (t), e.g.
9-f (x, у, z, t).
Dą _ aq
(V.7) q
The total derivative of q is expressed as
+
Dt
a) What are the names of the two terms on the right hand side, and what are their meanings?
DP.
b) If such quantity is the scalar density of the fluid, p in kg/m³, what principle does
indicate?
Dt
c) If the quantity is the vector velocity of the fluid, V = f(x, y, z, t) in m/s, what conservation
principle is expressed as V.V = 0 ?
Transcribed Image Text:In fluid dynamics it is common to describe quantities that vary both with location (x, y, z) and with time (t), e.g. 9-f (x, у, z, t). Dą _ aq (V.7) q The total derivative of q is expressed as + Dt a) What are the names of the two terms on the right hand side, and what are their meanings? DP. b) If such quantity is the scalar density of the fluid, p in kg/m³, what principle does indicate? Dt c) If the quantity is the vector velocity of the fluid, V = f(x, y, z, t) in m/s, what conservation principle is expressed as V.V = 0 ?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Matrix algebra for structural analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning