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Depth of Torisperical Head Formula

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Depth of Head refers to the vertical distance between the top of the vessel and the liquid level in the vessel when it is filled to its maximum operating capacity. Check FAQs

h o = R c - \sqrt{(R c - \frac{D o}{2}) \cdot (R c + \frac{D o}{2} - 2 \cdot R k)}

h_o - Depth of Head?R_c - Crown Radius for Jacketed Reaction Vessel?D_o - Vessel Shell Outer Diameter?R_k - Knuckle Radius?

Depth of Torisperical Head Example

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Here is how the Depth of Torisperical Head equation looks like with Values.

Here is how the Depth of Torisperical Head equation looks like with Units.

Here is how the Depth of Torisperical Head equation looks like.

73.1009 = 1401 - \sqrt{(1401 - \frac{550}{2}) \cdot (1401 + \frac{550}{2} - 2 \cdot 55)}

73.1009mm = 1401mm - \sqrt{(1401mm - \frac{550mm}{2}) \cdot (1401mm + \frac{550mm}{2} - 2 \cdot 55mm)}

73.1009 = 1401 - \sqrt{(1401 - \frac{550}{2}) \cdot (1401 + \frac{550}{2} - 2 \cdot 55)}

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Depth of Torisperical Head Solution

Follow our step by step solution on how to calculate Depth of Torisperical Head?

FIRST Step Consider the formula

h o = R c - \sqrt{(R c - \frac{D o}{2}) \cdot (R c + \frac{D o}{2} - 2 \cdot R k)}

Next Step Substitute values of Variables

∴

h o = 1401mm - \sqrt{(1401mm - \frac{550mm}{2}) \cdot (1401mm + \frac{550mm}{2} - 2 \cdot 55mm)}

Next Step Prepare to Evaluate

∴

h o = 1401 - \sqrt{(1401 - \frac{550}{2}) \cdot (1401 + \frac{550}{2} - 2 \cdot 55)}

Next Step Evaluate

∴

h o = 0.0731009074481601m

Next Step Convert to Output's Unit

∴

h o = 73.1009074481601mm

LAST Step Rounding Answer

∴

h o = 73.1009mm

Depth of Torisperical Head Formula Elements

Variables

Functions

Depth of Head

Depth of Head refers to the vertical distance between the top of the vessel and the liquid level in the vessel when it is filled to its maximum operating capacity.

Symbol: h_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Head

Crown Radius for Jacketed Reaction Vessel

Crown Radius for Jacketed Reaction Vessel is the horizontal distance, as seen in plan view, from the trunk of a tree to the edge of the crown.

Symbol: R_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Crown Radius for Jacketed Reaction Vessel

Vessel Shell Outer Diameter

Vessel Shell Outer Diameter refers to the outermost dimension of the cylindrical shell of a vessel, such as a tank or pressure vessel.

Symbol: D_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Vessel Shell Outer Diameter

Knuckle Radius

Knuckle Radius refers to the radius of curvature between the bottom of the vessel's cylindrical shell and the vessel's bottom head or dished end.

Symbol: R_k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Knuckle Radius

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Jacketed Reaction Vessel category

Go Required Thickness for Jacket Closer Member with Jacket Width

t rc = 0.886 \cdot w j \cdot \sqrt{\frac{p j}{f j}}

Go Jacket Width

w j = \frac{D ij - OD Vessel}{2}

Go Required Plate Thickness for Dimple Jacket

t j (minimum) = Maximum Pitch \cdot \sqrt{\frac{p j}{3 \cdot f j}}

Go Maximum Hoop Stress in Coil at Junction with Shell

f cc = \frac{p j \cdot d i}{2 \cdot t coil \cdot J coil}

How to Evaluate Depth of Torisperical Head?

Depth of Torisperical Head evaluator uses Depth of Head = Crown Radius for Jacketed Reaction Vessel-sqrt((Crown Radius for Jacketed Reaction Vessel-Vessel Shell Outer Diameter/2)*(Crown Radius for Jacketed Reaction Vessel+Vessel Shell Outer Diameter/2-2*Knuckle Radius)) to evaluate the Depth of Head, Depth of Torisperical Head refers to the vertical distance between the top of the vessel and the liquid level in the vessel when it is filled to its maximum operating capacity. Depth of Head is denoted by h_o symbol.

How to evaluate Depth of Torisperical Head using this online evaluator? To use this online evaluator for Depth of Torisperical Head, enter Crown Radius for Jacketed Reaction Vessel (R_c), Vessel Shell Outer Diameter (D_o) & Knuckle Radius (R_k) and hit the calculate button.

FAQs on Depth of Torisperical Head

What is the formula to find Depth of Torisperical Head?

The formula of Depth of Torisperical Head is expressed as Depth of Head = Crown Radius for Jacketed Reaction Vessel-sqrt((Crown Radius for Jacketed Reaction Vessel-Vessel Shell Outer Diameter/2)*(Crown Radius for Jacketed Reaction Vessel+Vessel Shell Outer Diameter/2-2*Knuckle Radius)). Here is an example- 73100.91 = 1.401-sqrt((1.401-0.55/2)*(1.401+0.55/2-2*0.055)).

How to calculate Depth of Torisperical Head?

With Crown Radius for Jacketed Reaction Vessel (R_c), Vessel Shell Outer Diameter (D_o) & Knuckle Radius (R_k) we can find Depth of Torisperical Head using the formula - Depth of Head = Crown Radius for Jacketed Reaction Vessel-sqrt((Crown Radius for Jacketed Reaction Vessel-Vessel Shell Outer Diameter/2)*(Crown Radius for Jacketed Reaction Vessel+Vessel Shell Outer Diameter/2-2*Knuckle Radius)). This formula also uses Square Root (sqrt) function(s).

Can the Depth of Torisperical Head be negative?

No, the Depth of Torisperical Head, measured in Length cannot be negative.

Which unit is used to measure Depth of Torisperical Head?

Depth of Torisperical Head is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Depth of Torisperical Head can be measured.

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Depth of Torisperical Head Formula

Depth of Torisperical Head Example

Depth of Torisperical Head Solution

Depth of Torisperical Head Formula Elements

Other formulas in Jacketed Reaction Vessel category

How to Evaluate Depth of Torisperical Head?

FAQs on Depth of Torisperical Head

Variable Name