Engineering > QUESTIONS & ANSWERS > BME 331 - Chapters 5, 6, & 7 Questions & Answers | 85 Questions with 100% Correct Answers | Updated (All)
The following form of the continuity equation is expressed in coordinate-free notation ∂ρ∂t+▽⃗ ⋅(ρV⃗ )=0 - ✔✔True Under the incompressible flow assumption the continuity equation ... ∂ρ∂t+▽⃗ ⋅(ρV⃗ )=0 can be reduced to the equation: ▽⃗ ⋅(V⃗ )=0 - ✔✔True If the density is stratified in the z-direction (i.e.,ρ=ρ(z)), then the continuity equation ∂ρ∂t+▽⃗ ⋅(ρV⃗ )=0 can be reduced to the equation:▽⃗ ⋅V⃗ =0 - ✔✔False two-dimensional stream function is always constant along a streamline in steady flow (i.e., dψ= 0 along streamline). - ✔✔True If we take the vorticity of the two-dimensional stream function, ςz=vx−uy, then it is always zero provided it is twice differentiable in x and y. - ✔✔False The motion of a fluid particle can be decomposed into four basic components: translation, rotation, linear deformation (stretching/contracting), and angular deformation (shearing). - ✔✔True Particle rotation is related to angular velocity and vorticity. - ✔✔True Particle linear deformation is related to volumetric strain (compression/expansion). - ✔✔True [Show More]
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