Which of the following best represents Stephanie Redfern Saylor Fluid

Question 40 / 40: Which of the following best represents the simplified conservation of axial momentum equation in differential form for fully developed pipe flow of a Newtonian fluid? (Here w is the axial velocity component.) I. $${{1}\over{r}} {{\partial}\over{\partial r}} ( r {{\partial w} \over {\partial r}} )= - {{1}\over{\mu}} {{\partial p}\over{\partial z}}$$ II. $${{1}\over{r}} {{\partial}\over{\partial r}} ( w {{\partial w} \over {\partial r}} )= {{1}\over{\mu}} {{\partial p}\over{\partial z}}$$ III. $${{1}\over{r}} {{\partial}\over{\partial r}} ( r {{\partial w} \over {\partial r}} )= {{1}\over{\mu}} {{\partial p}\over{\partial z}}$$ IV. $${{1}\over{r}} {{\partial}\over{\partial r}} ( r {{\partial w} \over {\partial r}} )= {{w}\over{\mu}} {{\partial p}\over{\partial z}}$$

A I only

B II only

C III and IV only

D I, II, and IV only

E II and III only

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Fluid Mechanics ME201

Author:

Stephanie Redfern

The Saylor Foundation

USA

Access: Public Instant Grading

Attribution: Stephanie Redfern and Tuan Dinh. Fluid Mechanics. The Saylor Academy 2014, http://www.saylor.org/courses/me201/

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