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outside surface temperature for annular space between concentric cylinders Solution

STEP 0: Pre-Calculation Summary
Formula Used
outside_temperature = Inside Temperature-(Heat transfer*((ln(1/Inside temperature))/(2*pi*Thermal conductivity)))
to = ti-(e′*((ln(1/Ti))/(2*pi*keff)))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
Inside Temperature - Inside Temperature is the temperature of air present inside. (Measured in Fahrenheit)
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.
Inside temperature- Inside temperature is the temperature value at the inside surface
Thermal conductivity - Thermal conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient. (Measured in Watt per Meter per K)
STEP 1: Convert Input(s) to Base Unit
Inside Temperature: 98 Fahrenheit --> 309.816662311554 Kelvin (Check conversion here)
Heat transfer: 1 --> No Conversion Required
Inside temperature: 30 --> No Conversion Required
Thermal conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
to = ti-(e′*((ln(1/Ti))/(2*pi*keff))) --> 309.816662311554-(1*((ln(1/30))/(2*pi*10)))
Evaluating ... ...
to = 309.870794049126
STEP 3: Convert Result to Output's Unit
309.870794049126 Kelvin -->98.0974385237712 Fahrenheit (Check conversion here)
FINAL ANSWER
98.0974385237712 Fahrenheit <-- Outside Temperature
(Calculation completed in 00.016 seconds)

10+ Free convection Calculators

Boundary layer thickness on vertical surfaces
boundary_layer_thicknes_at_distance_x_from_leading_edge = 3.93*Distance from Point to YY Axis*(Prandtl number^(-0.5))*((0.952+Prandtl number)^0.25)*(Grashof number^(-0.25)) Go
Average Nusselt number for constant wall temperature
average_nusselt_number_upto_l = 0.68+((0.67*((Grashof number*Prandtl number)^0.25))/((1+((0.492/Prandtl number)^0.5625)^0.444))) Go
Nusselt number for all the value of GrPr and constant wall temperature
nusselt_number = (0.825+((0.387*((Grashof number*Prandtl number)^0.167))/((1+((0.492/Prandtl number)^0.5625)^0.296))))^2 Go
Nusselt number for all the value of GrPr and constant heat flux
nusselt_number = (0.825+((0.387*((Grashof number*Prandtl number)^0.167))/((1+((0.437/Prandtl number)^0.5625)^0.296))))^2 Go
Local Nusselt number for constant heat flux
local_nusselt_number_ = 0.508*(Prandtl number^0.5)*((0.952+Prandtl number)^(-0.25))*(Grashof number^0.25) Go
Convective mass transfer coefficient at distance X from the leading edge
convective_mass_transfer_coefficient = (2*Thermal Conductivity)/Boundary layer thickens Go
Local Nusselt number
local_nusselt_number = Distance from Point to YY Axis/Boundary layer thickens Go
Nusselt number for higher value of GrPr
average_nusselt_number_upto_l = 0.59*(Grashof number*Prandtl number)^0.25 Go
Local Nusselt number given Grashof number
local_nusselt_number_ = 0.6*((Grashof number*Prandtl number)^0.2) Go
Average Nusselt number upto L
average_nusselt_number_upto_l = (5/4)*Nusselt number Go

outside surface temperature for annular space between concentric cylinders Formula

outside_temperature = Inside Temperature-(Heat transfer*((ln(1/Inside temperature))/(2*pi*Thermal conductivity)))
to = ti-(e′*((ln(1/Ti))/(2*pi*keff)))

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid. Convection is the process of heat transfer in fluids by the actual motion of matter. It happens in liquids and gases. It may be natural or forced. It involves a bulk transfer of portions of the fluid.

How to Calculate outside surface temperature for annular space between concentric cylinders?

outside surface temperature for annular space between concentric cylinders calculator uses outside_temperature = Inside Temperature-(Heat transfer*((ln(1/Inside temperature))/(2*pi*Thermal conductivity))) to calculate the Outside Temperature, The outside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the outside surface of the cylinder. Outside Temperature and is denoted by to symbol.

How to calculate outside surface temperature for annular space between concentric cylinders using this online calculator? To use this online calculator for outside surface temperature for annular space between concentric cylinders, enter Inside Temperature (ti), Heat transfer (e′), Inside temperature (Ti) and Thermal conductivity (keff) and hit the calculate button. Here is how the outside surface temperature for annular space between concentric cylinders calculation can be explained with given input values -> 73.2147 = (-0.214034551291851)-(1*((ln(1/30))/(2*pi*10))).

FAQ

What is outside surface temperature for annular space between concentric cylinders?
The outside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the outside surface of the cylinder and is represented as to = ti-(e′*((ln(1/Ti))/(2*pi*keff))) or outside_temperature = Inside Temperature-(Heat transfer*((ln(1/Inside temperature))/(2*pi*Thermal conductivity))). Inside Temperature is the temperature of air present inside, 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, Inside temperature is the temperature value at the inside surface and Thermal conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient.
How to calculate outside surface temperature for annular space between concentric cylinders?
The outside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the outside surface of the cylinder is calculated using outside_temperature = Inside Temperature-(Heat transfer*((ln(1/Inside temperature))/(2*pi*Thermal conductivity))). To calculate outside surface temperature for annular space between concentric cylinders, you need Inside Temperature (ti), Heat transfer (e′), Inside temperature (Ti) and Thermal conductivity (keff). With our tool, you need to enter the respective value for Inside Temperature, Heat transfer, Inside temperature and Thermal conductivity 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 Outside Temperature?
In this formula, Outside Temperature uses Inside Temperature, Heat transfer, Inside temperature and Thermal conductivity. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • boundary_layer_thicknes_at_distance_x_from_leading_edge = 3.93*Distance from Point to YY Axis*(Prandtl number^(-0.5))*((0.952+Prandtl number)^0.25)*(Grashof number^(-0.25))
  • convective_mass_transfer_coefficient = (2*Thermal Conductivity)/Boundary layer thickens
  • local_nusselt_number = Distance from Point to YY Axis/Boundary layer thickens
  • local_nusselt_number_ = 0.508*(Prandtl number^0.5)*((0.952+Prandtl number)^(-0.25))*(Grashof number^0.25)
  • local_nusselt_number_ = 0.6*((Grashof number*Prandtl number)^0.2)
  • average_nusselt_number_upto_l = (5/4)*Nusselt number
  • average_nusselt_number_upto_l = 0.68+((0.67*((Grashof number*Prandtl number)^0.25))/((1+((0.492/Prandtl number)^0.5625)^0.444)))
  • average_nusselt_number_upto_l = 0.59*(Grashof number*Prandtl number)^0.25
  • nusselt_number = (0.825+((0.387*((Grashof number*Prandtl number)^0.167))/((1+((0.437/Prandtl number)^0.5625)^0.296))))^2
  • nusselt_number = (0.825+((0.387*((Grashof number*Prandtl number)^0.167))/((1+((0.492/Prandtl number)^0.5625)^0.296))))^2
Where is the outside surface temperature for annular space between concentric cylinders calculator used?
Among many, outside surface temperature for annular space between concentric cylinders calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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