Problem 6.2Given:Velocity fieldFind:Acceleration of particle and pressure gradient at (0.7,2)Solution:Basic equationsFor this flowuxy, ()Ax⋅By⋅−=vxy, () A−y⋅=axuxu∂∂⋅vyu∂∂⋅+=Ax⋅⋅−()x⋅⋅−∂∂⋅A−y⋅y⋅⋅−∂∂⋅+=axA2x⋅=ayuxv∂∂⋅vyv∂∂⋅+=⋅⋅−xA−y⋅∂∂⋅A−y⋅yA−y⋅∂∂⋅+=ayA2y⋅=Hence at (0.7,2)ax1s⎛⎝⎞⎠20.7×m⋅=ax0.7ms2=ay1s⎛⎝⎞⎠22×m⋅=ay2ms2=aax2ay2+=θatanayax⎛⎜⎝⎞⎟⎠=a2.12ms2=θ70.7 deg⋅=For the pressure gradientxp∂∂ρ
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This note was uploaded on 08/25/2011 for the course AME 331 taught by Professor Zohar during the Fall '08 term at Arizona.