Ratio of temperature difference for given time elapsed Calculator

✖Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.ⓘ 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 [A]			+10% -10%
✖Time Elapsed after a particular task is started.ⓘ Time Elapsed [t]			+10% -10%
✖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.ⓘ Density [ρ]			+10% -10%
✖Total Volume is the overall amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Total Volume [V_T]			+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_o]			+10% -10%

✖Temperature Ratio is the ratio of temperatures at different instances of any process or environment.ⓘ Ratio of temperature difference for given time elapsed [T_ratio]

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Ratio of temperature difference for given time elapsed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature Ratio = exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity))
T_ratio = exp(-(h*A*t)/(ρ*V_T*C_o))
This formula uses 1 Functions, 7 Variables

Functions Used

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

Variables Used

Temperature Ratio - Temperature Ratio is the ratio of temperatures at different instances of any process or environment.
Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.
Surface Area - (Measured in Square Meter) - The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
Time Elapsed - (Measured in Second) - Time Elapsed after a particular task is started.
Density - (Measured in Kilogram per Cubic Meter) - 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.
Total Volume - (Measured in Cubic Meter) - Total Volume is the overall amount of space that a substance or object occupies or that is enclosed within a container.
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.

STEP 1: Convert Input(s) to Base Unit

Convection Heat Transfer Coefficient: 0.04 Watt per Square Meter per Kelvin --> 0.04 Watt per Square Meter per Kelvin No Conversion Required
Surface Area: 18 Square Meter --> 18 Square Meter No Conversion Required
Time Elapsed: 12 Second --> 12 Second No Conversion Required
Density: 5.51 Kilogram per Cubic Meter --> 5.51 Kilogram per Cubic Meter No Conversion Required
Total Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Specific Heat Capacity: 4 Joule per Kilogram per K --> 4 Joule per Kilogram per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_ratio = exp(-(h*A*t)/(ρ*V_T*C_o)) --> exp(-(0.04*18*12)/(5.51*63*4))

Evaluating ... ...

T_ratio = 0.993796866683215

STEP 3: Convert Result to Output's Unit

0.993796866683215 --> No Conversion Required

FINAL ANSWER

0.993796866683215 ≈ 0.993797 <-- Temperature Ratio

(Calculation completed in 00.004 seconds)

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

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< Transient Heat Conduction Calculators

Instantaneous heat transfer rate

LaTeX Go Heat Rate = Convection Heat Transfer Coefficient*Surface Area*(Initial Temperature-Fluid Temperature)*(exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity)))

Total Heat Transfer during Time Interval

LaTeX Go Heat Transfer = Density*Specific Heat*Total Volume*(Initial Temperature-Fluid Temperature)*(1-(exp(-(Biot Number*Fourier Number))))

Power on exponential of temperature-time relation

LaTeX Go Constant B = -(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity)

Time Constant in unsteady state heat transfer

LaTeX Go Time Constant = (Density*Specific Heat Capacity*Total Volume)/(Convection Heat Transfer Coefficient*Surface Area)

Ratio of temperature difference for given time elapsed Formula

LaTeX Go

Temperature Ratio = exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity))
T_ratio = exp(-(h*A*t)/(ρ*V_T*C_o))

What is Temperature-Time relation?

The temperature-time relationship of unsteady-state heat transfer helps to determine the rate of heat transfer that has been conducted in the lumped system in a given time period.

How to Calculate Ratio of temperature difference for given time elapsed?

Ratio of temperature difference for given time elapsed calculator uses Temperature Ratio = exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity)) to calculate the Temperature Ratio, Ratio of temperature difference for given time elapsed formula calculates the exponential term given in the temperature-time relationship for a lumped body. Temperature Ratio is denoted by T_ratio symbol.

How to calculate Ratio of temperature difference for given time elapsed using this online calculator? To use this online calculator for Ratio of temperature difference for given time elapsed, enter Convection Heat Transfer Coefficient (h), Surface Area (A), Time Elapsed (t), Density (ρ), Total Volume (V_T) & Specific Heat Capacity (C_o) and hit the calculate button. Here is how the Ratio of temperature difference for given time elapsed calculation can be explained with given input values -> 0.993797 = exp(-(0.04*18*12)/(5.51*63*4)).

FAQ

What is Ratio of temperature difference for given time elapsed?

Ratio of temperature difference for given time elapsed formula calculates the exponential term given in the temperature-time relationship for a lumped body and is represented as T_ratio = exp(-(h*A*t)/(ρ*V_T*C_o)) or Temperature Ratio = exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total 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 temperature, 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, 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, Total Volume is the overall 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 Ratio of temperature difference for given time elapsed?

Ratio of temperature difference for given time elapsed formula calculates the exponential term given in the temperature-time relationship for a lumped body is calculated using Temperature Ratio = exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity)). To calculate Ratio of temperature difference for given time elapsed, you need Convection Heat Transfer Coefficient (h), Surface Area (A), Time Elapsed (t), Density (ρ), Total Volume (V_T) & Specific Heat Capacity (C_o). With our tool, you need to enter the respective value for Convection Heat Transfer Coefficient, Surface Area, Time Elapsed, Density, Total 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 Temperature Ratio?

In this formula, Temperature Ratio uses Convection Heat Transfer Coefficient, Surface Area, Time Elapsed, Density, Total Volume & Specific Heat Capacity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Temperature Ratio = exp(-(Biot Number*Fourier Number))

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