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Now suppose we are dealing with a Non-Newtonian material such as baking dough, say. We must specify a constitutive relation for this material; note that the following expression has a nonlinear term: σij ​=2μeij ​+α(eij eij​ ) a. Calculate the components of σij ​for baking dough undergoing this simple shearing motion. b. Determine the components of the traction vector t on the top plate (where t =σ. n and represents the force per unit area exerted by the plate on the baking dough. Note that we are ignoring the static contribution in the last expression.) c. Note that a flow as sketched in Fig. 2 below can be closely approximated by a Couette flow. Therefore, use the results of part b to explain why baking dough tends to rise up the shaft of a mixer. d. Would your explanation still hold if baking dough were a

Now suppose we are dealing with a Non-Newtonian material such as baking dough, say. We must specify a constitutive relation for this material; note that the following expression has a nonlinear term: σij ​=2μeij ​+α(eij eij​ ) a. Calculate the components of σij ​for baking dough undergoing this simple shearing motion. b. Determine the components of the traction vector t on the top plate (where t =σ. n and represents the force per unit area exerted by the plate on the baking dough. Note that we are ignoring the static contribution in the last expression.) c. Note that a flow as sketched in Fig. 2 below can be closely approximated by a Couette flow. Therefore, use the results of part b to explain why baking dough tends to rise up the shaft of a mixer. d. Would your explanation still hold if baking dough were a

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Now suppose we are dealing with a Non-Newtonian material such as baking dough, say. We must specify a constitutive relation for this material; note that the following expression has a nonlinear term: σij ​=2μeij ​+α(eij eij​ )

a. Calculate the components of σij ​for baking dough undergoing this simple shearing motion.

b. Determine the components of the traction vector t on the top plate (where t =σ. n and represents the force per unit area exerted by the plate on the baking dough. Note that we are ignoring the static contribution in the last expression.)

c. Note that a flow as sketched in Fig. 2 below can be closely approximated by a Couette flow. Therefore, use the results of part b to explain why baking dough tends to rise up the shaft of a mixer.

d. Would your explanation still hold if baking dough were a Newtonian material?

uly)= ; v = w = 0
Transcribed Image Text:uly)= ; v = w = 0
let re1
Transcribed Image Text:let re1
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