(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A velocity field is given by [itex]\vec{V}[/itex]= [Ax[itex]^{3}[/itex] + Bxy[itex]^{2}[/itex]][itex]\hat{i}[/itex] + [Ay[itex]^{3}[/itex] + Bx[itex]^{2}[/itex]y][itex]\hat{j}[/itex]; A=0.2 m[itex]^{-2}[/itex]s[itex]^{-1}[/itex], B is a constant, and the

coordinates are measured in meters. Determine the value and

units for B if this velocity field is to represent an incompressible

flow. Calculate the acceleration of a fluid particle at point

(x, y)=(2, 1). Evaluate the component of particle acceleration

normal to the velocity vector at this point.

2. Relevant equations

u=[itex]\frac{\partial\Psi}{\partial y}[/itex] v=-[itex]\frac{\partial\Psi}{\partial x}[/itex]

3. The attempt at a solution

I used the above equation to get value equations u and v, there is something I'm missing, a bit of reasoning that has to be made using the given information to determine a constraint that exists since the fluid is incompressible. This should link the rates of change to each other. But that's where I get stuck, having trouble hanging on to all the concepts..

u = [2Bxy][itex]\hat{i}[/itex] + [.6y[itex]^{2}[/itex] + Bx[itex]^{2}[/itex]][itex]\hat{j}[/itex]

v = -[.6x[itex]^{2}[/itex] + By[itex]^{2}[/itex]][itex]\hat{i}[/itex] - [2Bxy][itex]\hat{j}[/itex]

Assumptions:

1. Incompressible flow

2. B is constant

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Fluid mechanics: calc the acceleration of a particle at a point.

Tags:

**Physics Forums | Science Articles, Homework Help, Discussion**