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Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period Formula

GoRate of Constant Drying Period based on Critical Moisture Content Formula

GoRate of Constant Drying Period based on Final Moisture Content Formula

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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. Check FAQs

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

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

Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period Example

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Here is how the Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period equation looks like with Values.

Here is how the Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period equation looks like with Units.

Here is how the Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period equation looks like.

2.248 = (\frac{100}{37}) \cdot (\frac{0.11 - 0.05}{0.1}) \cdot (\ln (\frac{0.11 - 0.05}{0.065 - 0.05}))

2.248kg/s/m² = (\frac{100kg}{37s}) \cdot (\frac{0.11 - 0.05}{0.1m²}) \cdot (\ln (\frac{0.11 - 0.05}{0.065 - 0.05}))

2.248 = (\frac{100}{37}) \cdot (\frac{0.11 - 0.05}{0.1}) \cdot (\ln (\frac{0.11 - 0.05}{0.065 - 0.05}))

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period

Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period Solution

Follow our step by step solution on how to calculate Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N c = (\frac{100kg}{37s}) \cdot (\frac{0.11 - 0.05}{0.1m²}) \cdot (\ln (\frac{0.11 - 0.05}{0.065 - 0.05}))

Next Step Prepare to Evaluate

∴

N c = (\frac{100}{37}) \cdot (\frac{0.11 - 0.05}{0.1}) \cdot (\ln (\frac{0.11 - 0.05}{0.065 - 0.05}))

Next Step Evaluate

∴

N c = 2.24804490992415kg/s/m²

LAST Step Rounding Answer

∴

N c = 2.248kg/s/m²

Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period Formula Elements

Variables

Functions

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.

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.

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.

Critical Moisture Content

The Critical Moisture Content is the ratio of amount of moisture present in the solids at the transition of constant and falling rate period to that of the weight of dry solid.

Symbol: X_c

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

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.

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.

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.

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

Syntax: ln(Number)

Credits

Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has created this Formula and 300+ more formulas!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Formula and 1600+ more formulas!

Other Formulas to find Rate of Constant Drying Period

Go Rate of Constant Drying Period based on Critical Moisture Content

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

Go Rate of Constant Drying Period based on Final Moisture Content

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

Other formulas in Drying from Critical 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 Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period?

Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period evaluator uses Rate of Constant Drying Period = (Dry Weight of Solid/Falling Rate Drying Time)*((Critical Moisture Content-Equilibrium Moisture Content)/Drying Surface Area)*(ln((Critical Moisture Content-Equilibrium Moisture Content)/(Final Moisture Content for Falling Rate Period-Equilibrium Moisture Content))) to evaluate the Rate of Constant Drying Period, The Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period formula is defined as Rate of Constant Drying Period calculated based on its relation with the drying process in the falling rate period. Rate of Constant Drying Period is denoted by N_c symbol.

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

FAQs on Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period

What is the formula to find Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period?

The formula of Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period is expressed as Rate of Constant Drying Period = (Dry Weight of Solid/Falling Rate Drying Time)*((Critical Moisture Content-Equilibrium Moisture Content)/Drying Surface Area)*(ln((Critical Moisture Content-Equilibrium Moisture Content)/(Final Moisture Content for Falling Rate Period-Equilibrium Moisture Content))). Here is an example- 2.248045 = (100/37)*((0.11-0.05)/0.1)*(ln((0.11-0.05)/(0.065-0.05))).

How to calculate Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period?

With Dry Weight of Solid (W_S), Falling Rate Drying Time (t_f), Critical Moisture Content (X_c), Equilibrium Moisture Content (X_Eq), Drying Surface Area (A) & Final Moisture Content for Falling Rate Period (X_f(Falling)) we can find Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period using the formula - Rate of Constant Drying Period = (Dry Weight of Solid/Falling Rate Drying Time)*((Critical Moisture Content-Equilibrium Moisture Content)/Drying Surface Area)*(ln((Critical Moisture Content-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 Rate of Constant Drying Period?

Here are the different ways to Calculate Rate of Constant Drying Period-

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

Can the Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period be negative?

No, the Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period, measured in Mass Flux cannot be negative.

Which unit is used to measure Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period?

Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period is usually measured using the Kilogram per Second per Square Meter[kg/s/m²] for Mass Flux. Kilogram per Hour per Square Meter[kg/s/m²], Kilogram per Hour per Square Foot[kg/s/m²], Pound per Hour per Square Foot[kg/s/m²] are the few other units in which Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period can be measured.

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Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period Formula

​GoRate of Constant Drying Period based on Critical Moisture Content Formula

​GoRate of Constant Drying Period based on Final Moisture Content Formula

Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period Example

Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period Solution

Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period Formula Elements

Credits

Other Formulas to find Rate of Constant Drying Period

Other formulas in Drying from Critical to Final Moisture category

How to Evaluate Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period?

FAQs on Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period

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GoRate of Constant Drying Period based on Critical Moisture Content Formula

GoRate of Constant Drying Period based on Final Moisture Content Formula