(a) Explanation Write the equation of volumetric flow rate at D. Q d = 0.5 π 2 D 2 N d c sin A cos A (I) Here, the volumetric flow rate at D is Q d , the screw channel diameter is D , the screw channel depth is d c , the flight angle is A , and the screw rotational speed is N . Write the equation for the maximum pressure. p max = 6 π D N L η cot A d c 2 (II) Here, the viscosity is η , length is L , and the maximum pressure is p max . Write the expression for the extruder characteristic equation. Q x = Q d − ( Q d p max ) p (III) Here, the resulting flow rate of polymer melt in the extruder is Q x and the head pressure is p . Conclusion: Substitute, 100 mm for D , 50 rev/min for N , 7.5 mm for d c . 17 ° for A , and 3.14 for π in equation (I). Q d = { 0.5 ( 3.14 ) 2 [ ( 100 mm ) ( 1 × 10 − 3 m 1 mm ) ] 2 [ ( 50 rev/min ) ( 1 min 60 s ) ] [ ( 7.5 mm ) ( 1 × 10 − 3 m 1 mm ) ] sin ( 17 ° ) cos ( 17 ° ) } = ( 308.1 m 3 /s ) ( 0.2924 ) ( 0.9563 ) = 86.2 × 10 − 6 m 3 /s Substitute 3.14 for π , 100 mm for D , 50 rev/min for N , 7.5 mm for d c . 17 ° for A , 2.8 m for L , and 175 Pa ⋅ s for η in equation (II) (b) To determine The shape factor. (c) To determine The operating point.

Fundamentals of Modern Manufacturing, Binder Ready Version: Materials, Processes, and Systems

6th Edition

ISBN: 9781119128694

Author: Mikell P. Groover

Publisher: WILEY

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Question

Chapter 13, Problem 10P

(a)

To determine

The extruder characteristic.

(b)

To determine

The shape factor.

(c)

To determine

The operating point.

Expert Solution & Answer

Chapter 13 Solutions

Fundamentals of Modern Manufacturing, Binder Ready Version: Materials, Processes, and Systems

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Ch. 13 - Prob. 11RQ Ch. 13 - Prob. 12RQ Ch. 13 - Prob. 13RQ Ch. 13 - Prob. 14RQ Ch. 13 - Prob. 15RQ Ch. 13 - Prob. 16RQ Ch. 13 - Prob. 17RQ Ch. 13 - Prob. 18RQ Ch. 13 - Prob. 19RQ Ch. 13 - Prob. 20RQ Ch. 13 - Prob. 21RQ Ch. 13 - Prob. 22RQ Ch. 13 - Prob. 23RQ Ch. 13 - Prob. 24RQ Ch. 13 - Prob. 25RQ Ch. 13 - 13.26 True or false: In rotational molding, the...Ch. 13 - Prob. 27RQ Ch. 13 - Prob. 28RQ Ch. 13 - Prob. 29RQ Ch. 13 - Prob. 30RQ Ch. 13 - Prob. 31RQ Ch. 13 - Prob. 32RQ Ch. 13 - Prob. 1P Ch. 13 - Prob. 2P Ch. 13 - Prob. 3P Ch. 13 - Prob. 4P Ch. 13 - Prob. 5P Ch. 13 - Prob. 6P Ch. 13 - Prob. 7P Ch. 13 - Prob. 8P Ch. 13 - Prob. 9P Ch. 13 - Prob. 10P Ch. 13 - Prob. 11P Ch. 13 - Prob. 12P Ch. 13 - Prob. 14P Ch. 13 - Prob. 15P Ch. 13 - Prob. 16P Ch. 13 - Prob. 17P Ch. 13 - Prob. 18P Ch. 13 - Prob. 19P Ch. 13 - Prob. 20P Ch. 13 - Prob. 21P Ch. 13 - Prob. 22P Ch. 13 - Prob. 23P Ch. 13 - Prob. 24P Ch. 13 - Prob. 25P Ch. 13 - 13.26 The problem in a thermoforming operation is...

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