Capacitance of Thermal System by Lumped Heat Capacity Method Calculator

✖Density of Body is the physical quantity that expresses the relationship between its mass and its volume.ⓘ Density of Body [ρ_B]			+10% -10%
✖Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.ⓘ Specific Heat Capacity [c]			+10% -10%
✖Volume of Object is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume of Object [V]			+10% -10%

✖Capacitance of Thermal System is defined as the product of the mass of an object and its specific heat.ⓘ Capacitance of Thermal System by Lumped Heat Capacity Method [C_Th]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Unsteady State Heat Conduction Formulas PDF PDF Image

Capacitance of Thermal System by Lumped Heat Capacity Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capacitance of Thermal System = Density of Body*Specific Heat Capacity*Volume of Object
C_Th = ρ_B*c*V
This formula uses 4 Variables

Variables Used

Capacitance of Thermal System - (Measured in Joule per Kelvin) - Capacitance of Thermal System is defined as the product of the mass of an object and its specific heat.
Density of Body - (Measured in Kilogram per Cubic Meter) - Density of Body is the physical quantity that expresses the relationship between its mass and its volume.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Volume of Object - (Measured in Cubic Meter) - Volume of Object is the amount of space that a substance or object occupies or that is enclosed within a container.

STEP 1: Convert Input(s) to Base Unit

Density of Body: 15 Kilogram per Cubic Meter --> 15 Kilogram per Cubic Meter No Conversion Required
Specific Heat Capacity: 1.5 Joule per Kilogram per K --> 1.5 Joule per Kilogram per K No Conversion Required
Volume of Object: 6.541 Cubic Meter --> 6.541 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_Th = ρ_B*c*V --> 15*1.5*6.541

Evaluating ... ...

C_Th = 147.1725

STEP 3: Convert Result to Output's Unit

147.1725 Joule per Kelvin --> No Conversion Required

FINAL ANSWER

147.1725 Joule per Kelvin <-- Capacitance of Thermal System

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Heat Transfer » Unsteady State Heat Conduction » Capacitance of Thermal System by Lumped Heat Capacity Method

Credits

Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

Ayush gupta has created this Calculator and 300+ more calculators!

Verified by Prerana Bakli

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

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< Unsteady State Heat Conduction Calculators

Fourier Number using Biot Number

LaTeX Go Fourier Number = (-1/(Biot Number))*ln((Temperature at Any Time T-Temperature of Bulk Fluid)/(Initial Temperature of Object-Temperature of Bulk Fluid))

Biot Number using Fourier Number

LaTeX Go Biot Number = (-1/Fourier Number)*ln((Temperature at Any Time T-Temperature of Bulk Fluid)/(Initial Temperature of Object-Temperature of Bulk Fluid))

Initial Internal Energy Content of Body in Reference to Environment Temperature

LaTeX Go Initial Energy Content = Density of Body*Specific Heat Capacity*Volume of Object*(Initial Temperature of Solid-Ambient Temperature)

Biot Number using Heat Transfer Coefficient

LaTeX Go Biot Number = (Heat Transfer Coefficient*Thickness of Wall)/Thermal Conductivity

Capacitance of Thermal System by Lumped Heat Capacity Method Formula

LaTeX Go

Capacitance of Thermal System = Density of Body*Specific Heat Capacity*Volume of Object
C_Th = ρ_B*c*V

What is Unsteady State Heat Transfer?

Unsteady State Heat Transfer refers to the heat transfer process in which a system's temperature changes with time. This type of heat transfer can happen in different forms, such as conduction, convection, and radiation. It occurs in various systems, including solid materials, fluids, and gases. The heat transfer rate in an unsteady state is directly proportional to the rate of temperature change. This means that the heat transfer rate is not constant and can vary over time. It's an important aspect in the design and optimization of thermal systems, and understanding this process is crucial in many research areas, such as combustion, electronics, and aerospace.

What is Lumped Parameter Model?

Interior temperatures of some bodies remain essentially uniform at all times during a heat transfer process. The temperature of such bodies are only a function of time, T = T(t). The heat transfer analysis based on this idealization is called lumped system analysis.

How to Calculate Capacitance of Thermal System by Lumped Heat Capacity Method?

Capacitance of Thermal System by Lumped Heat Capacity Method calculator uses Capacitance of Thermal System = Density of Body*Specific Heat Capacity*Volume of Object to calculate the Capacitance of Thermal System, The Capacitance of Thermal System by Lumped Heat Capacity Method formula is defined as the function of density of body, specific heat capacity of object and volume of object. The thermal capacity of the system is “charged” initially at the potential T0 by closing the switch S. Then, when the switch is opened, the energy stored in the thermal capacitance is dissipated through the resistance 1/hA. The analogy between this thermal system and an electric system is apparent, and we could easily construct an electric system that would behave exactly like the thermal system. In the thermal system we store energy, while in the electric system we store electric charge. Capacitance of Thermal System is denoted by C_Th symbol.

How to calculate Capacitance of Thermal System by Lumped Heat Capacity Method using this online calculator? To use this online calculator for Capacitance of Thermal System by Lumped Heat Capacity Method, enter Density of Body (ρ_B), Specific Heat Capacity (c) & Volume of Object (V) and hit the calculate button. Here is how the Capacitance of Thermal System by Lumped Heat Capacity Method calculation can be explained with given input values -> 147.1725 = 15*1.5*6.541.

FAQ

What is Capacitance of Thermal System by Lumped Heat Capacity Method?

The Capacitance of Thermal System by Lumped Heat Capacity Method formula is defined as the function of density of body, specific heat capacity of object and volume of object. The thermal capacity of the system is “charged” initially at the potential T0 by closing the switch S. Then, when the switch is opened, the energy stored in the thermal capacitance is dissipated through the resistance 1/hA. The analogy between this thermal system and an electric system is apparent, and we could easily construct an electric system that would behave exactly like the thermal system. In the thermal system we store energy, while in the electric system we store electric charge and is represented as C_Th = ρ_B*c*V or Capacitance of Thermal System = Density of Body*Specific Heat Capacity*Volume of Object. Density of Body is the physical quantity that expresses the relationship between its mass and its volume, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount & Volume of Object is the amount of space that a substance or object occupies or that is enclosed within a container.

How to calculate Capacitance of Thermal System by Lumped Heat Capacity Method?

The Capacitance of Thermal System by Lumped Heat Capacity Method formula is defined as the function of density of body, specific heat capacity of object and volume of object. The thermal capacity of the system is “charged” initially at the potential T0 by closing the switch S. Then, when the switch is opened, the energy stored in the thermal capacitance is dissipated through the resistance 1/hA. The analogy between this thermal system and an electric system is apparent, and we could easily construct an electric system that would behave exactly like the thermal system. In the thermal system we store energy, while in the electric system we store electric charge is calculated using Capacitance of Thermal System = Density of Body*Specific Heat Capacity*Volume of Object. To calculate Capacitance of Thermal System by Lumped Heat Capacity Method, you need Density of Body (ρ_B), Specific Heat Capacity (c) & Volume of Object (V). With our tool, you need to enter the respective value for Density of Body, Specific Heat Capacity & Volume of Object and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search