The Cauchy stress tensor for a (compressible) Newtonian fluid is given by S(x, t) = -p(x, t)I + X (V · v(x, t)) I +2µ sym Vv(x, t). Choose from the list below the expression corresponding to the divergence of the Cauchy stress. O V S(x, t) = −Vp(x, t) + µ▲v(x, t) O V S(x, t) = −▼p(x, t) + XV (V · v(x, t)) + µAv(x, t) None of the above O V S(x, t) = −▼p(x, t) + (λ + µ) ▼ (▼ · v(x, t)) + µAv(x, t)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The Cauchy stress tensor for a (compressible) Newtonian fluid is given by
S(x, t) = -p(x, t)I+ A (V · v(x, t)) I+ 2µ sym Vv(x, t).
Choose from the list below the expression corresponding to the divergence of the Cauchy stress.
V. S(x, t) = - Vp(x,t) + µ Av(x, t)
|
V. S(x, t) = - Vp(x, t) + AV (V · v(x, t))+ µAv(x, t)
None of the above
V (x, t) = - Vp(x, t) + (A + µ)▼ (V · v(x, t)) + µ Av(x, t)
Transcribed Image Text:The Cauchy stress tensor for a (compressible) Newtonian fluid is given by S(x, t) = -p(x, t)I+ A (V · v(x, t)) I+ 2µ sym Vv(x, t). Choose from the list below the expression corresponding to the divergence of the Cauchy stress. V. S(x, t) = - Vp(x,t) + µ Av(x, t) | V. S(x, t) = - Vp(x, t) + AV (V · v(x, t))+ µAv(x, t) None of the above V (x, t) = - Vp(x, t) + (A + µ)▼ (V · v(x, t)) + µ Av(x, t)
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