Question

12. In the equation below, plot the term (or terms) to be omitted if the equation is to be applied to an weightless and incompressible viscous fluid $$ \frac{D\vec{U}}{Dt} = \vec{F} - \frac{1}{\rho} \text{grad } p + v\nabla^2 \vec{U} + \frac{1}{3} v \text{grad } (\text{div } \vec{U}) $$ Justify your answer.

Name: 12 in the equation below plot the term or terms to be omitted if the equation is to be applied to an weightless and incompressible viscous fluid fracdvecudt vecf frac1rho textgrad p vnabla2 22831
Uploaded: 2022-01-14T13:10:50-08:00
Duration: 3 min 25 s
Channel: Khoobchandra Agrawal
Description: 12 in the equation below plot the term or terms to be omitted if the equation is to be applied to an weightless and incompressible viscous fluid fracdvecudt vecf frac1rho textgrad p vnabla2 22831

          12. In the equation below, plot the term (or terms) to be omitted if the equation is to be applied to an weightless and incompressible viscous fluid
$$ \frac{D\vec{U}}{Dt} = \vec{F} - \frac{1}{\rho} \text{grad } p + v\nabla^2 \vec{U} + \frac{1}{3} v \text{grad } (\text{div } \vec{U}) $$
Justify your answer.

$12 in the equation below plot the term or terms to be omitted if the equation is to be applied to an weightless and incompressible viscous fluid fracdvecudt vecf frac1rho textgrad p vnabla2 22831$

Added by Kristen S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

01/14/2022

Step 1

The given equation is a form of the Navier-Stokes equation, which describes the motion of viscous fluid substances. The conditions are: 1. Weightless fluid: This implies that the body force $\vec{F}$ due to gravity is zero. 2. Incompressible fluid: For an Show more…

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12. In the equation below, plot the term (or terms) to be omitted if the equation is to be applied to an weightless and incompressible viscous fluid $$ \frac{D\vec{U}}{Dt} = \vec{F} - \frac{1}{\rho} \text{grad } p + v\nabla^2 \vec{U} + \frac{1}{3} v \text{grad } (\text{div } \vec{U}) $$ Justify your answer.