Product of Biot and Fourier Number in terms of system properties Calculator

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✖Convection heat transfer coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit kellvin.ⓘ Convection heat transfer coefficient [h]			+10% -10%
✖The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.ⓘ Surface Area [SA]			+10% -10%
✖Time elapsed after a particular task is started.ⓘ Time elapsed [t]			+10% -10%
✖Density is the degree of compactness of a substance.ⓘ Density [ρ]			+10% -10%
✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V]			+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%

✖Constant is the number that has a fixed value in a given situation or universally or that is characteristic of some substance or instrument.ⓘ Product of Biot and Fourier Number in terms of system properties [a]

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Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

Ravi Khiyani has created this Calculator and 100+ more calculators!

Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Product of Biot and Fourier Number in terms of system properties Solution

STEP 0: Pre-Calculation Summary

Formula Used

constantt = (Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity)
a = (h*SA*t)/(ρ*V*c)
This formula uses 6 Variables

Variables Used

Convection heat transfer coefficient - Convection heat transfer coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit kellvin. (Measured in Watt per Meter² per K)
Surface Area - The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
Time elapsed - Time elapsed after a particular task is started. (Measured in Second)
Density - Density is the degree of compactness of a substance. (Measured in Kilogram per Meter³)
Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)
Specific Heat Capacity - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount. (Measured in Kilojoule per Kilogram per K)

STEP 1: Convert Input(s) to Base Unit

Convection heat transfer coefficient: 1 Watt per Meter² per K --> 1 Watt per Meter² per K No Conversion Required
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Time elapsed: 1 Second --> 1 Second No Conversion Required
Density: 5.51 Kilogram per Meter³ --> 5.51 Kilogram per Meter³ No Conversion Required
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (h*SA*t)/(ρ*V*c) --> (1*50*1)/(5.51*63*4184)

Evaluating ... ...

a = 3.44259695413343E-05

STEP 3: Convert Result to Output's Unit

3.44259695413343E-05 --> No Conversion Required

FINAL ANSWER

3.44259695413343E-05 <-- Constant

(Calculation completed in 00.016 seconds)

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Product of Biot and Fourier Number in terms of system properties

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Instantaneous heat transfer rate

heat_rate = Convection heat transfer coefficient*Surface Area*(Initial Temperature-Fluid temperature)*(exp(-(Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity))) Go

Temperature after given time elapsed

temperature = ((Initial Temperature-Fluid temperature)*(exp(-(Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity))))+Fluid temperature Go

Total heat transfer during a time interval

heat_transfer_KJ = Density*Specific heat*Volume*(Initial Temperature-Fluid temperature)*(1-(exp(-(Biot number*Fourier Number)))) Go

Ratio of temperature difference for given time elapsed

temperature_ratio = exp(-(Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity)) Go

Power on exponential of temperature-time relation

constantt = -(Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity) Go

Product of Biot and Fourier Number in terms of system properties

constantt = (Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity) Go

Time Constant in unsteady state heat transfer

tau_mi = (Density*Specific Heat Capacity*Volume)/(Convection heat transfer coefficient*Surface Area) Go

Thermal Capacitance

thermal_capacitance = Density*Specific Heat Capacity*Volume Go

Ratio of temperature difference for given time elapsed in terms of Biot and Fourier Number

temperature_ratio = exp(-(Biot number*Fourier Number)) Go

Power on exponential of temperature-time relation in terms of Biot and Fourier Number

constantt = -(Biot number*Fourier Number) Go

Product of Biot and Fourier Number in terms of system properties Formula

constantt = (Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity)
a = (h*SA*t)/(ρ*V*c)

What is Biot Number?

Biot Number is the ratio of conductive resistance to convective resistance. Biot number smaller than 0.1 imply that the heat conduction inside the body is much faster than the heat convection away from its surface, and temperature gradients are negligible inside of it.

How to Calculate Product of Biot and Fourier Number in terms of system properties?

Product of Biot and Fourier Number in terms of system properties calculator uses constantt = (Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity) to calculate the Constant, Product of Biot and Fourier Number in terms of system properties formula calculates the product using the system properties which simplify the calculation of temperature in the unsteady state heat transfer. Constant is denoted by a symbol.

How to calculate Product of Biot and Fourier Number in terms of system properties using this online calculator? To use this online calculator for Product of Biot and Fourier Number in terms of system properties, enter Convection heat transfer coefficient (h), Surface Area (SA), Time elapsed (t), Density (ρ), Volume (V) & Specific Heat Capacity (c) and hit the calculate button. Here is how the Product of Biot and Fourier Number in terms of system properties calculation can be explained with given input values -> 3.443E-5 = (1*50*1)/(5.51*63*4184).

FAQ

What is Product of Biot and Fourier Number in terms of system properties?

Product of Biot and Fourier Number in terms of system properties formula calculates the product using the system properties which simplify the calculation of temperature in the unsteady state heat transfer and is represented as a = (h*SA*t)/(ρ*V*c) or constantt = (Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity). Convection heat transfer coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit kellvin, The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides, Time elapsed after a particular task is started, Density is the degree of compactness of a substance, Volume is the amount of space that a substance or object occupies or that is enclosed within a container & Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

How to calculate Product of Biot and Fourier Number in terms of system properties?

Product of Biot and Fourier Number in terms of system properties formula calculates the product using the system properties which simplify the calculation of temperature in the unsteady state heat transfer is calculated using constantt = (Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity). To calculate Product of Biot and Fourier Number in terms of system properties, you need Convection heat transfer coefficient (h), Surface Area (SA), Time elapsed (t), Density (ρ), Volume (V) & Specific Heat Capacity (c). With our tool, you need to enter the respective value for Convection heat transfer coefficient, Surface Area, Time elapsed, Density, Volume & Specific Heat Capacity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Constant?

In this formula, Constant uses Convection heat transfer coefficient, Surface Area, Time elapsed, Density, Volume & Specific Heat Capacity. We can use 10 other way(s) to calculate the same, which is/are as follows -

heat_rate = Convection heat transfer coefficient*Surface Area*(Initial Temperature-Fluid temperature)*(exp(-(Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity)))
heat_transfer_KJ = Density*Specific heat*Volume*(Initial Temperature-Fluid temperature)*(1-(exp(-(Biot number*Fourier Number))))
tau_mi = (Density*Specific Heat Capacity*Volume)/(Convection heat transfer coefficient*Surface Area)
constantt = -(Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity)
constantt = -(Biot number*Fourier Number)
temperature_ratio = exp(-(Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity))
temperature_ratio = exp(-(Biot number*Fourier Number))
temperature = ((Initial Temperature-Fluid temperature)*(exp(-(Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity))))+Fluid temperature
constantt = (Convection heat transfer coefficient*Surface Area*Time elapsed)/(Density*Volume*Specific Heat Capacity)
thermal_capacitance = Density*Specific Heat Capacity*Volume

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