Technical Analysis of Blender Vat Size Schematic Layout Design

This report presents a technical analysis of a blender vat design, focusing on key parameters such as vat diameter (D), vat height (H), total vat volume (V), and volume of the mixture (Vm). It outlines the relationships between these parameters, including the formulas for calculating the surface area (Av) and estimating the cost (Cv) of the vat. The analysis considers mass loss during drying and the density of the mixture. The report also establishes the minimum and maximum volumes of the mixture (Vm) based on given dimensions and provides a cost estimation equation. The conclusion presents the recommended ranges for the vat diameter (0.5 m ≤ D ≤ 1 m) and height (H = 1.3 m), as well as the mixture volume range (0.255 m3 ≤ Vm ≤ 1.021 m3).

Technical Analysis of Blender Vat Size

Schematic Layout
Fig. 1 Schematic of Blender Vat

Design Parameter of Blender Vat
D – vat diameter (m)
H – vat height (m)
V – total vat volume (m3) (required volume + 20%)
VM – volume of mixture (m3)
HC – height of ceiling (3.8 m)
F – free space above vat (0.7 m)
B – base height of vat (1.8 m)
AV – surface area of vat (m2)
CV – cost of the vat ($)
m1 – mass (g) of each bar before drying
m2 – mass (g) of each bar after drying
loss% – the percentage loss of mass (35%) during drying
ρ – density of the mixture
T – duration of a production run

Relations Between Different Parameters
Initial mass =
Final mass =
Mass losses =
Relation of masses
1 2
1
1
100 %
m m
m m
  
   
  
1m
2m
Relation of volumes
Total volume of the vat = V
Volume of the mixture = mV
0.8mV V 
Relations between V, D & H
2
4
V D H


Relations between D, H & vA
21
2
vA DH D
  
1 2
1
1
100 %
m m
m m
  
   
  
1m
2m
mV
0.8mV V 
2
4
V D H


vA
21
2
vA DH D
  

Minimum and Maximum Volume of Mixture
H 1.3 1.3 1.3 1.3 1.3 1.3
D 0.5 0.6 0.7 0.8 0.9 1
0.255 0.367 0.5 0.653 0.827 1.021mVmV

Cost Estimation of Vat
the equation for the cost of the vat CV
v m vC C A 
Where,
Av = Surface area of vat and
Mv = Metal cost per unit area
v m vC C A 

Conclusion
• 0.5 m ≤ D ≤ 1 m
• H = 1.3 m
• 0.255 m3 ≤Vm≤ 1.021

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