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Total Heat Transfer during Time Interval Formula

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Heat Transfer is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings. Check FAQs

Q = ρ \cdot c \cdot V T \cdot (T o - t f) \cdot (1 - (\exp (- (Bi \cdot Fo))))

Q - Heat Transfer?ρ - Density?c - Specific Heat?V_T - Total Volume?T_o - Initial Temperature?t_f - Fluid Temperature?Bi - Biot Number?Fo - Fourier Number?

Total Heat Transfer during Time Interval Example

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Here is how the Total Heat Transfer during Time Interval equation looks like with Values.

Here is how the Total Heat Transfer during Time Interval equation looks like with Units.

Here is how the Total Heat Transfer during Time Interval equation looks like.

2583.765 = 5.51 \cdot 120 \cdot 63 \cdot (20 - 10) \cdot (1 - (\exp (- (0.0124 \cdot 0.5))))

2583.765J = 5.51kg/m³ \cdot 120J/(kg*K) \cdot 63m³ \cdot (20K - 10K) \cdot (1 - (\exp (- (0.0124 \cdot 0.5))))

2583.765 = 5.51 \cdot 120 \cdot 63 \cdot (20 - 10) \cdot (1 - (\exp (- (0.0124 \cdot 0.5))))

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Home » Physics » Mechanical » Heat and Mass Transfer » Total Heat Transfer during Time Interval

Total Heat Transfer during Time Interval Solution

Follow our step by step solution on how to calculate Total Heat Transfer during Time Interval?

FIRST Step Consider the formula

Q = ρ \cdot c \cdot V T \cdot (T o - t f) \cdot (1 - (\exp (- (Bi \cdot Fo))))

Next Step Substitute values of Variables

∴

Q = 5.51kg/m³ \cdot 120J/(kg*K) \cdot 63m³ \cdot (20K - 10K) \cdot (1 - (\exp (- (0.0124 \cdot 0.5))))

Next Step Prepare to Evaluate

∴

Q = 5.51 \cdot 120 \cdot 63 \cdot (20 - 10) \cdot (1 - (\exp (- (0.0124 \cdot 0.5))))

Next Step Evaluate

∴

Q = 2583.76500357691J

LAST Step Rounding Answer

∴

Q = 2583.765J

Total Heat Transfer during Time Interval Formula Elements

Variables

Functions

Heat Transfer

Heat Transfer is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings.

Symbol: Q

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Specific Heat

The Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

Symbol: c

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Total Volume

Total Volume is the overall amount of space that a substance or object occupies or that is enclosed within a container.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Initial Temperature

The Initial Temperature is defined as the measure of heat under initial state or conditions.

Symbol: T_o

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Fluid Temperature

Fluid Temperature is the temperature of the fluid surrounding the object.

Symbol: t_f

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Biot Number

Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.

Symbol: Bi

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Fourier Number

Fourier Number is the ratio of diffusive or conductive transport rate to the quantity storage rate, where the quantity may be either heat or matter.

Symbol: Fo

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Credits

Created by Ravi Khiyani

Indian Institute of Technology, Madras (IIT Madras), Chennai

Ravi Khiyani has created this Formula and 200+ more formulas!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

Other formulas in Transient Heat Conduction category

Go Instantaneous heat transfer rate

Q rate = h \cdot A \cdot (T o - t f) \cdot (\exp (- \frac{h \cdot A \cdot t}{ρ \cdot V T \cdot C o}))

Go Time Constant in unsteady state heat transfer

T c = \frac{ρ \cdot C o \cdot V T}{h \cdot A}

How to Evaluate Total Heat Transfer during Time Interval?

Total Heat Transfer during Time Interval evaluator uses Heat Transfer = Density*Specific Heat*Total Volume*(Initial Temperature-Fluid Temperature)*(1-(exp(-(Biot Number*Fourier Number)))) to evaluate the Heat Transfer, The Total Heat Transfer during Time Interval formula calculates the rate of heat transfer through a lumped body in a given period of time using that it will be equal to the change in internal energy of the lumped body. Heat Transfer is denoted by Q symbol.

How to evaluate Total Heat Transfer during Time Interval using this online evaluator? To use this online evaluator for Total Heat Transfer during Time Interval, enter Density (ρ), Specific Heat (c), Total Volume (V_T), Initial Temperature (T_o), Fluid Temperature (t_f), Biot Number (Bi) & Fourier Number (Fo) and hit the calculate button.

FAQs on Total Heat Transfer during Time Interval

What is the formula to find Total Heat Transfer during Time Interval?

The formula of Total Heat Transfer during Time Interval is expressed as Heat Transfer = Density*Specific Heat*Total Volume*(Initial Temperature-Fluid Temperature)*(1-(exp(-(Biot Number*Fourier Number)))). Here is an example- 2583.765 = 5.51*120*63*(20-10)*(1-(exp(-(0.012444*0.5)))).

How to calculate Total Heat Transfer during Time Interval?

With Density (ρ), Specific Heat (c), Total Volume (V_T), Initial Temperature (T_o), Fluid Temperature (t_f), Biot Number (Bi) & Fourier Number (Fo) we can find Total Heat Transfer during Time Interval using the formula - Heat Transfer = Density*Specific Heat*Total Volume*(Initial Temperature-Fluid Temperature)*(1-(exp(-(Biot Number*Fourier Number)))). This formula also uses Exponential Growth (exp) function(s).

Can the Total Heat Transfer during Time Interval be negative?

Yes, the Total Heat Transfer during Time Interval, measured in Energy can be negative.

Which unit is used to measure Total Heat Transfer during Time Interval?

Total Heat Transfer during Time Interval is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Total Heat Transfer during Time Interval can be measured.

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Total Heat Transfer during Time Interval Formula

Total Heat Transfer during Time Interval Example

Total Heat Transfer during Time Interval Solution

Total Heat Transfer during Time Interval Formula Elements

Credits

Other formulas in Transient Heat Conduction category

How to Evaluate Total Heat Transfer during Time Interval?

FAQs on Total Heat Transfer during Time Interval

Variable Name