ME405_Lecture_34

# ME405_Lecture_34 - ME 405 Fall 2006 Professor John M...

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ME 405 Fall 2006 Professor John M. Cimbala Lecture 34 11/27/2006 Today, we will : Discuss Particle Statistics in Section 8.2 Discuss an example particle size distribution in detail – see class handout The data shown below are from the class handout, so you can follow along. j = class (bin number) D p ,min, j (lower limit) D p ,max, j (upper limit) D p, j value) Δ D p , j width n j class) n j / Δ D p , j class width f ( D p , j ) = n j /( Δ D p , j n t )= fraction per class width probability in this class = f ( D p , j )* Δ D p, j = n j / n t 1 1 4 2.5 3 104 34.667 0.0347 0.104 2 4 6 5 2 160 80.000 0.0800 0.16 3 6 8 7 2 161 80.500 0.0805 0.161 4 8 9 8.5 1 75 75.000 0.0750 0.075 5 9 10 9.5 1 67 67.000 0.0670 0.067 6 10 14 12 4 186 46.500 0.0465 0.186 7 14 16 15 2 61 30.500 0.0305 0.061 8 16 20 18 4 79 19.750 0.0198 0.079 9 20 35 27.5 15 90 6.000 0.0060 0.09 10 35 50 42.5 15 17 1.133 0.0011 0.017 11 50 100 75 50 0 0.000 0.0000 0 Minimum diameter in class j Maximum diameter in class j Middle diameter in class j : D p , j = ( D p ,min, j + D p ,max, j ) / 2 Width of class j : Δ D p , j = D p ,max, j D p ,min, j Number of particles in class j (see Plot 1) Number of particles in class j divided by class width: n j / Δ D p , j (see Plot 2) Fraction of particles in class

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ME405_Lecture_34 - ME 405 Fall 2006 Professor John M...

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