With increasing grain height in a deep cylindrical grain bin, the pressure at its base will
Options:
(A) decrease initially and then increase
(B) increase initially and then decrease
(C) decrease initially and then remain constant
(D) increase initially and then remain constant
Official Answer Key:
D
Step-by-Step Solution & Explanation
This follows Janssen's theory of pressure in deep bins: unlike a liquid, granular material transfers part of its self-weight to the bin walls via friction as depth increases. Initially (shallow depth) the base pressure rises roughly hydrostatically with grain height, but as depth increases further the wall friction increasingly supports the added weight, so the base pressure asymptotically approaches a constant limiting value with further increase in height. Answer: (D).
Section 7
Heat and Mass Transfer
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