Credits

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 1000+ more calculators!

Inside surface temperature for annular space between concentric cylinders Solution

STEP 0: Pre-Calculation Summary
Formula Used
inside_temperature = (Heat transfer*((ln(Outside temperature))/(2*pi*Thermal conductivity)))+Outside Temperature
ti = (e′*((ln(To))/(2*pi*keff)))+to
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
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.
Outside temperature- Outside temperature is the value of the temperature at outside 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)
Outside Temperature - Outside Temperature is the temperature of air present outside. (Measured in Fahrenheit)
STEP 1: Convert Input(s) to Base Unit
Heat transfer: 1 --> No Conversion Required
Outside temperature: 35 --> No Conversion Required
Thermal conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Outside Temperature: 102 Fahrenheit --> 312.03888463974 Kelvin (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ti = (e′*((ln(To))/(2*pi*keff)))+to --> (1*((ln(35))/(2*pi*10)))+312.03888463974
Evaluating ... ...
ti = 312.09546976158
STEP 3: Convert Result to Output's Unit
312.09546976158 Kelvin -->102.101854700107 Fahrenheit (Check conversion here)
FINAL ANSWER
102.101854700107 Fahrenheit <-- Inside Temperature
(Calculation completed in 00.000 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

Inside surface temperature for annular space between concentric cylinders Formula

inside_temperature = (Heat transfer*((ln(Outside temperature))/(2*pi*Thermal conductivity)))+Outside Temperature
ti = (e′*((ln(To))/(2*pi*keff)))+to

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 Inside surface temperature for annular space between concentric cylinders?

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

How to calculate Inside surface temperature for annular space between concentric cylinders using this online calculator? To use this online calculator for Inside surface temperature for annular space between concentric cylinders, enter Heat transfer (e′), Outside temperature (To), Thermal conductivity (keff) and Outside Temperature (to) and hit the calculate button. Here is how the Inside surface temperature for annular space between concentric cylinders calculation can be explained with given input values -> 76.09137 = (1*((ln(35))/(2*pi*10)))+(-0.222770655426213).

FAQ

What is Inside surface temperature for annular space between concentric cylinders?
The Inside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the inside surface of the cylinder and is represented as ti = (e′*((ln(To))/(2*pi*keff)))+to or inside_temperature = (Heat transfer*((ln(Outside temperature))/(2*pi*Thermal conductivity)))+Outside Temperature. 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, Outside temperature is the value of the temperature at outside surface, Thermal conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient and Outside Temperature is the temperature of air present outside.
How to calculate Inside surface temperature for annular space between concentric cylinders?
The Inside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the inside surface of the cylinder is calculated using inside_temperature = (Heat transfer*((ln(Outside temperature))/(2*pi*Thermal conductivity)))+Outside Temperature. To calculate Inside surface temperature for annular space between concentric cylinders, you need Heat transfer (e′), Outside temperature (To), Thermal conductivity (keff) and Outside Temperature (to). With our tool, you need to enter the respective value for Heat transfer, Outside temperature, Thermal conductivity and Outside Temperature 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 Inside Temperature?
In this formula, Inside Temperature uses Heat transfer, Outside temperature, Thermal conductivity and Outside Temperature. 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 Inside surface temperature for annular space between concentric cylinders calculator used?
Among many, Inside 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 -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!