S 101 Sodium Chloride Silo Specification Sheet and Design [PDF]

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Technological Institute of the Philippines

SODIUM CHLORIDE SILO (S-101)

Technological Institute of the Philippines

EQUIPMENT SPECIFICATION Equipment Tag: S-101 Description: To store Sodium Chloride Sheet No.: 4 OPERATING DATA MATERIAL OF 5 Carbon Steel CONSTRUCTION OPERATING 30 ºC 3.5 atm PRESSURE Sodium Chloride

Sodium Chloride Silo Data Sheet

NO. REQUIRED

OPERATING TEMPERATURE CONTENTS TANK CAPACITY 175.58 m3 ACTUAL DIMENSION OF THE TANK ACTUAL CYLINDER 22.84 m CIRCUMFERENCE ACTUAL CYLINDER OUTSIDE 7.27 m DIAMETER ACTUAL CYLINDER INSIDE 7.30 m DIAMETER 23.94 m2 ACTUAL CONE SURFACE AREA 6.30 m ACTUAL HEIGHT OF CYLINDER 2.31 m ACTUAL HEIGHT OF CONE 8.61 m ACTUAL TANK HEIGHT DESIGN DIMENSIONS 2.31 m HEIGHT OF CONICAL HOPPER 7.30 m TANK INSIDE DIAMETER 7.27 m TANK OUTSIDE DIAMETER 11.21 mm SHELL THICKNESS INSIDE DIAMETER AT THE 0.0857 m DISCHARGE INSIDE RADIUS AT THE 0.0428 m DISCHARGE 6.30 m HEIGHT OF CYLINDER 2.31 m HEIGHT OF TRUNCATED CONE 8.61 m TOTAL HEIGHT OF THE SILO

1 2 3 4 5 6 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 28

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Technological Institute of the Philippines

From Material Balance: STREAM 6 Component NaCl TOTAL

Mass, kg/hr 3,340.95 3,340.95

Mass % 100.00 100.00

DATA AND ASSUMPTIONS 1. 20% Volumetric allowance (ref: Walas, S. M. (1990). Chemical Process 2. Equipment Selection and Design. USA: Butterworth-Heinemann.) 3. Operating Temperature is 30°C 4. Operating Pressure is at 1 atm 5. Since there will be 5 silos required, the mass flow rate from the previous 6. equipment will be divided into 3. 7. Feed rate = 3,340.95 kg/h 8. Assumed mass flowrate at the discharge is 5 kg/s DESIGN CALCULATIONS Capacity of the tank kg m3 (Ref.: Perry’s Chemical Engineers’ Handbook 8th Edition) 1282

Capacity of the Tank (for the basis of 7 days, or 168 hrs)

V=

kg x 168 hr hr = 𝟖𝟖𝐦𝟑 kg 1282 3 m

668.1

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Technological Institute of the Philippines

Design Volume Vtank = 87(1.20) 𝐕𝐭𝐚𝐧𝐤 = 𝟏𝟎𝟓. 𝟎𝟕 𝐦𝟑 Diameter at the Discharge Using Beverloo Equation: mass flow rate = 0.58ρb × g 0.5 × (D − kdp)2.5 (Ref.: http://www.thermopedia.com/content/821/. Granular Materials, Discharge through Orifices) 2

mass flowrate 5 D=( ) + kdp 0.58ρb × g 0.5 Where: ρb = 1282

kg m3

k = 1.4 2

5 kg 5 s D=( ) + 1.4(0.000000055) kg 0.58 × 1282 3 × 9.810.5 m

𝐃 = 𝟎. 𝟎𝟖𝟓𝟕 𝐦 𝐫1 = 𝟎. 𝟎𝟒𝟐𝟖 𝐦 For Conical Hopper ∅ = 𝟒𝟓° (Ref.: The American Institute of Steel Construction. (March, 2013). Best Angle Design for the bottom of a Silo. Chicago: The Chicago Curve.)

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Technological Institute of the Philippines

Height of Conical Hopper tan∅ = h=

Di 2h

Di 2tan45°

Inside Diameter Vt = Vcyl + Vr.c Vt =

π 2 1 Di L + π(r22 + r1 r2 + r12 )h 4 3

Where: L = 1.2Di r2 =

Di 2

𝐫𝟏 = 𝟎. 𝟎𝟒𝟐𝟖 𝐦 h= 105.07 m3 =

Di 2

π 2 1 Di 2 Di Di Di (1.2Di ) + π (( ) + (0.0428 m)( ) + (0.04298 m)2 ) 4 3 2 2 2 𝐃𝐢 = 𝟒. 𝟔𝟏𝐦 r𝟐 =

4.61 m 2

𝐡 = 𝐫𝟐 = 𝟐. 𝟑𝟏 𝐦 Volume of Truncated Cone 1 VTruncated Cone = π(r22 + r1 r2 + r12 )h 3 1 VTruncated Cone = π((2.31)2 + 0.0428 m × 2.31 m + (0.0428)2 )2.31 m 3 𝐕𝐓.𝐂 = 𝟏𝟑. 𝟏𝟓 𝐦𝟑

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Technological Institute of the Philippines Volume of Cylinder Vcyl = Vcyl =

π 2 D (1.2Di ) 4 i

π 4.612 (1.2 × 4.61 m) 4

𝐕𝐜𝐲𝐥 = 𝟗𝟐. 𝟑𝟒 𝐦𝟑 Shell Thickness

Design Stress at a temperature of 30°C is based on the data provided by RK Sinnott in Table 13.2 page 812. @ 30°C, design stress for carbon steel is 88.9 N/mm2 Shell Thickness

ts = f = 140.31 (0.3546375 ts =

(2)(1) (88.9

Pi Di +C 2Jf − Pi N , C = 2 mm mm2

N ) (4610 mm) mm2

N N ) − (0.3546375 ) mm2 mm2

+ 2 mm

𝐭 s = 𝟏𝟏. 𝟐𝟏 𝐦𝐦 Outside Diameter D𝐨 = Di + 2t s D𝐨 = 4.61 m + 0.02242 𝐃𝐨 = 𝟒. 𝟔𝟑 𝐦 Silo Tank Actual Dimensions Based on the standard measurements of readily available steel plate (20 feet by 6 feet)

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Technological Institute of the Philippines CT = π(4.63) 𝐂𝐓 = 𝟏𝟒. 𝟓𝟓 𝐦 D𝐨,𝐚𝐜𝐜𝐭 =

14.55 m π

𝐃𝐨,𝐚𝐜𝐜𝐭 = 𝟕. 𝟐𝟕 𝐦 Maintaining the 0.02242m thickness, Dt,acct = 7.27 m − 0.02242m 𝐃𝐭,𝐚𝐜𝐜𝐭 = 𝟕. 𝟑𝟎 𝐦 Surface Area of Truncated Cone A = (r1 + r2 )π√(r1 − r2 )2 + h2 A = (0.0468 + 2.31)π√(0.0468 − 2.31)2 + 2.312 𝐀 = 𝟐𝟑. 𝟗𝟒 𝐦𝟐

Height of Cylinder 105.07 m3 =

π (4.61 m)2 L 4

𝐋 = 𝟔. 𝟑𝟎 𝐦 Height of Truncated Cone A = (r1 + r2 )π√(r1 − r2 )2 + h2 23.94 m2 = (0.0468 + 2.31)π√(0.0468 − 2.31)2 + h2 𝐡 = 𝟐. 𝟑𝟏 𝐦 Total Height of the Silo

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Technological Institute of the Philippines H𝐓 = L + h H𝐓,𝐚𝐜𝐜𝐭 = 6.30 + 2.31 m 𝐇𝐓,𝐚𝐜𝐜𝐭 = 𝟖. 𝟔𝟏 𝐦 Total Silo Volume Vt = Vt =

π 2 1 Di L + π(r22 + r1 r2 + r12 )h 4 3

π 1 (7.30 m)2 (6.30) + π(2.312 + (0.0468)(2.31) + 0.04682 )2.31 m 4 3 𝐕𝐭 = 𝟐𝟕𝟔. 𝟖𝟓𝐦𝟑

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