Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

4. (20 pts) Grain stored in a silo can self-heat due to fermentation, causing temperature runaway and spontaneous combustion (https://extension.psu.edu/silo-fires)! Consider a tall cylindrical

image text in transcribed

4. (20 pts) Grain stored in a silo can self-heat due to fermentation, causing temperature runaway and spontaneous combustion (https://extension.psu.edu/silo-fires)! Consider a tall cylindrical silo (diameter D = 6 m) filled with dry corn (bulk thermal conductivity k = 0.5 W m K-). The fermentation process causes volumetric heating with q"" = 50 W m. Assume ambient air blows over the outside of the silo (h = 10 W m K, T = 20C). a. (7 pts) Sketch the grain silo, indicating the main heat generation and heat transfer processes in the system. List appropriate simplifying assumptions for this problem. b. (7 pts) Simplify the governing heat conduction equation for this silo (hint - use the cylindrical coordinate form). Specify the boundary conditions. c. (6 pts) Solve the governing equation for the steady temperature profile in the silo. Make a plot of the temperature profile (T(r)) and indicate the peak temperature.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Engineering Mechanics Statics

Authors: R. C. Hibbeler

12th Edition

136077900, 978-0136077909

More Books

Students also viewed these Mechanical Engineering questions