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Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period Formula

GoDrying Surface Area based on Initial to Critical Moisture Content for Constant Rate Period Formula

GoDrying Surface Area based on Initial to Critical Weight of Moisture for Constant Rate Period Formula

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The Drying Surface Area is the total area in the drying mass transfer operation i.e. exposed in contact with the drying medium. Check FAQs

A = (\frac{W S}{t f}) \cdot (\frac{X i(Falling) - X Eq}{N c}) \cdot (\ln (\frac{X i(Falling) - X Eq}{X f(Falling) - X Eq}))

A - Drying Surface Area?W_S - Dry Weight of Solid?t_f - Falling Rate Drying Time?X_i(Falling) - Initial Moisture Content for Falling Rate Period?X_Eq - Equilibrium Moisture Content?N_c - Rate of Constant Drying Period?X_f(Falling) - Final Moisture Content for Falling Rate Period?

Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period Example

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Here is how the Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period equation looks like with Values.

Here is how the Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period equation looks like with Units.

Here is how the Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period equation looks like.

0.0813 = (\frac{100}{37}) \cdot (\frac{0.1 - 0.05}{2}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))

0.0813m² = (\frac{100kg}{37s}) \cdot (\frac{0.1 - 0.05}{2kg/s/m²}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))

0.0813 = (\frac{100}{37}) \cdot (\frac{0.1 - 0.05}{2}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))

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Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period Solution

Follow our step by step solution on how to calculate Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period?

FIRST Step Consider the formula

A = (\frac{W S}{t f}) \cdot (\frac{X i(Falling) - X Eq}{N c}) \cdot (\ln (\frac{X i(Falling) - X Eq}{X f(Falling) - X Eq}))

Next Step Substitute values of Variables

∴

A = (\frac{100kg}{37s}) \cdot (\frac{0.1 - 0.05}{2kg/s/m²}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))

Next Step Prepare to Evaluate

∴

A = (\frac{100}{37}) \cdot (\frac{0.1 - 0.05}{2}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))

Next Step Evaluate

∴

A = 0.0813495138058065m²

LAST Step Rounding Answer

∴

A = 0.0813m²

Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period Formula Elements

Variables

Functions

Drying Surface Area

The Drying Surface Area is the total area in the drying mass transfer operation i.e. exposed in contact with the drying medium.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Drying Surface Area

Dry Weight of Solid

The Dry Weight of Solid is the weight of dry solid present in the system in the drying mass transfer operation.

Symbol: W_S

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Dry Weight of Solid

Falling Rate Drying Time

The Falling rate drying time is the time taken for drying operation in the falling rate period.

Symbol: t_f

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Falling Rate Drying Time

Initial Moisture Content for Falling Rate Period

The Initial Moisture Content for Falling Rate Period is defined as the ratio of the weight of moisture to the weight of dry solid present initially in the wet solid for drying operation.

Symbol: X_i(Falling)

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Initial Moisture Content for Falling Rate Period

Equilibrium Moisture Content

The Equilibrium Moisture Content is defined as the ratio of the weight of moisture in equilibrium with the solid to the weight of dry solid.

Symbol: X_Eq

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Equilibrium Moisture Content

Rate of Constant Drying Period

The Rate of Constant Drying Period is the rate of drying that takes place for a given set of drying conditions in the constant rate period.

Symbol: N_c

Measurement: Mass FluxUnit: kg/s/m²

Note: Value should be greater than 0.

Formulas to find Rate of Constant Drying Period

Final Moisture Content for Falling Rate Period

The Final Moisture Content for Falling Rate Period is defined as the ratio of the weight of moisture to the weight of dry solid present after the completion of the drying process.

Symbol: X_f(Falling)

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Final Moisture Content for Falling Rate Period

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Drying Surface Area

Go Drying Surface Area based on Initial to Critical Moisture Content for Constant Rate Period

A = W S \cdot \frac{X i(Constant) - X c}{t c \cdot N c}

Go Drying Surface Area based on Initial to Critical Weight of Moisture for Constant Rate Period

A = \frac{M i(Constant) - M c}{t c \cdot N c}

Other formulas in Drying from Initial to Final Moisture category

Go Total Drying Time based on Constant Drying Time and Falling Drying Time

t = t c + t f

Go Constant Drying Time from Initial to Critical Moisture Content

t c = W S \cdot \frac{(X i(Constant) - X c)}{(A \cdot N c)}

How to Evaluate Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period?

Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period evaluator uses Drying Surface Area = (Dry Weight of Solid/Falling Rate Drying Time)*((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/Rate of Constant Drying Period)*(ln((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/(Final Moisture Content for Falling Rate Period-Equilibrium Moisture Content))) to evaluate the Drying Surface Area, The Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period formula is defined as the drying surface area required for drying from initial to final moisture content in the falling rate period for the specified drying conditions. Drying Surface Area is denoted by A symbol.

How to evaluate Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period using this online evaluator? To use this online evaluator for Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period, enter Dry Weight of Solid (W_S), Falling Rate Drying Time (t_f), Initial Moisture Content for Falling Rate Period (X_i(Falling)), Equilibrium Moisture Content (X_Eq), Rate of Constant Drying Period (N_c) & Final Moisture Content for Falling Rate Period (X_f(Falling)) and hit the calculate button.

FAQs on Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period

What is the formula to find Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period?

The formula of Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period is expressed as Drying Surface Area = (Dry Weight of Solid/Falling Rate Drying Time)*((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/Rate of Constant Drying Period)*(ln((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/(Final Moisture Content for Falling Rate Period-Equilibrium Moisture Content))). Here is an example- 0.08135 = (100/37)*((0.1-0.05)/2)*(ln((0.1-0.05)/(0.065-0.05))).

How to calculate Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period?

With Dry Weight of Solid (W_S), Falling Rate Drying Time (t_f), Initial Moisture Content for Falling Rate Period (X_i(Falling)), Equilibrium Moisture Content (X_Eq), Rate of Constant Drying Period (N_c) & Final Moisture Content for Falling Rate Period (X_f(Falling)) we can find Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period using the formula - Drying Surface Area = (Dry Weight of Solid/Falling Rate Drying Time)*((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/Rate of Constant Drying Period)*(ln((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/(Final Moisture Content for Falling Rate Period-Equilibrium Moisture Content))). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Drying Surface Area?

Here are the different ways to Calculate Drying Surface Area-

Drying Surface Area=Dry Weight of Solid*(Initial Moisture Content for Constant Rate Period-Critical Moisture Content)/(Constant Rate Drying Time*Rate of Constant Drying Period)
Drying Surface Area=(Initial Weight of Moisture for Constant Rate-Critical Weight of Moisture)/(Constant Rate Drying Time*Rate of Constant Drying Period)
Drying Surface Area=Dry Weight of Solid*(Initial Moisture Content for Constant Rate Period-Final Moisture Content for Constant Rate Period)/(Constant Rate Drying Time*Rate of Constant Drying Period)

Can the Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period be negative?

No, the Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period, measured in Area cannot be negative.

Which unit is used to measure Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period?

Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period can be measured.

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Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period Formula

​GoDrying Surface Area based on Initial to Critical Moisture Content for Constant Rate Period Formula

​GoDrying Surface Area based on Initial to Critical Weight of Moisture for Constant Rate Period Formula

Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period Example

Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period Solution

Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period Formula Elements

Other Formulas to find Drying Surface Area

Other formulas in Drying from Initial to Final Moisture category

How to Evaluate Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period?

FAQs on Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period

Variable Name

GoDrying Surface Area based on Initial to Critical Moisture Content for Constant Rate Period Formula

GoDrying Surface Area based on Initial to Critical Weight of Moisture for Constant Rate Period Formula