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A4_Deformations_in_a_Continuum

# A4_Deformations_in_a_Continuum - 2 A velocity field is...

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ASSIGNMENT 4 EATS 2470 Page 1 of 2 EATS 2470 INTRODUCTION TO CONTINUUM MECHANICS ASSIGNMENT 4 1. The Lagrangian description of a flow is: t a t a a y 3 4 2 1 1 2 1 2 2 t a a y t a a y 2 3 3 Find the: (a) position of point P(1,2,4) at time 2 t (b) displacement of point P at time 2 t (c) velocity of point P at time 2 t (d) acceleration of point P at time 2 t (e) Eulerian description of the displacement vector (f) velocity vector using the Eulerian description (do not perform the calculations, just describe the sequence) (g) acceleration vector if the Eulerian velocity vector is known (do not perform the calculations, just describe the sequence) (h) Eulerian description of velocity vector if its Lagrangian description is known (i) Eulerian description of acceleration if its Lagrangian description is known

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Unformatted text preview: 2. A velocity field is defined as: t y t y q 2 2 1 1 2 2 2 1 2 2 t y t y q 3 q Find the: (a) velocity at point P(2,1,3) at 2 t (b) acceleration at point P(2,1,3) at 2 t (c) Lagrangian description of the velocity (d) Lagrangian description of the acceleration ASSIGNMENT 4 EATS 2470 Page 2 of 2 3. For the velocity field: 2 2 1 1 3 2 t y t y q 3 2 1 2 2 t y t y q 3 q determine whether the continuity condition is satisfied if: (a) dt d (b) 2 2 y (c) 3 1 2 y y (d) t y y t y 2 3 1 2 3...
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