6 A simple and popular model for two nonnewtonian fl uids in Fig. 1.8 a is the power-law

Chapter 1, Problem p1.46

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6 A simple and popular model for two nonnewtonian fl uids in Fig. 1.8 a is the power-law : < C a du dy b n where C and n are constants fi t to the fl uid [16]. FromFig.1.8 a , deduce the values of the exponent n for whichthe fl uid is ( a ) newtonian, ( b ) dilatant, and ( c ) pseudoplastic.Consider the specifi c model constant C 5 0.4 N s n /m 2 ,with the fl uid being sheared between two parallel plates asin Fig.1.7. If the shear stress in the fl uid is 1200 Pa, fi nd thevelocity V of the upper plate for the cases ( d ) n 5 1.0,( e ) n 5 1.2, and ( f ) n 5 0.8.

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