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A general equation for a steady, two-dimensional velocity
Chapter 4, Problem 59P(choose chapter or problem)
Problem 59P
A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions (x and y) is
Where U and V and the coefficients are constants. Their dimensions are assumed to be appropriately defined. Calculate the x- and y-components of the acceleration field.
Questions & Answers
QUESTION:
Problem 59P
A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions (x and y) is
Where U and V and the coefficients are constants. Their dimensions are assumed to be appropriately defined. Calculate the x- and y-components of the acceleration field.
ANSWER:
Step 1:
Consider a two dimensional steady state flow of fluid. The equation of velocity field is
= = + ------(1)
The components of velocity field are
= -----(2)
= -----(3)
Where U and V and coefficients (a,b) are constants
To calculate the acceleration field of the flow by interpreting the velocity field