Fluids defs

Question 1

What is equation relating real velocity potential to polar coordinates velocity

Answer 1

Question 2

Define particle Path

Answer 2

Question 3

Define real velocity potential

Answer 3

Question 4

State conservation of mass formula

Answer 4

Question 5

Derive relation for dw/dz

Answer 5

Question 6

What are equations relating velocity potential and u and v

Answer 6

Question 7

Froude Number

Answer 7

Question 8

Prove circle theorem

Answer 8

Question 9

What is solution to to phi and z for wave with finite depth

Answer 9

Question 10

Define vorticity

Answer 10

Question 11

equations relating real velocity and stream function to polar coodinates.

Answer 11

Question 12

State euler equation

Answer 12

Question 13

Complex potential of a line source

Answer 13

Question 14

What are equations relating streamfunction with u and v.

Answer 14

Question 15

Define complex potential of a line vortex

Answer 15

Question 16

State material derivative wrt u

Answer 16

Question 17

Define Streakline

Answer 17

Question 18

Define Streamline

Answer 18

Question 19

equations for u and v in terms of potential velocity and stream function

Answer 19

Question 20

How is ń defined, what are w , lambda, wave speed blah defined

Answer 20

Question 21

What are equations relating streamfunction to velocity in polar coodinates

Answer 21

Question 22

State circle theorem

Answer 22

Question 23

How to find solution to phi and z for wave equation with infinite depth

Answer 23

Question 25

Derive hydrostatic pressure

Answer 25

Question 26

Define velocity potential (real) and justify governing equation for real velocity potential.

Answer 26

Question 27

Define Bernoulli Law

Answer 27

Question 28

what are equations satisfying laplace equation for finding stream function and velocity potential in terms of sin, cos etc.

Answer 28