Diameter of Rod Circular Fin given Area of Cross-Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi)
drod = sqrt((Aflow*4)/pi)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diameter of Circular Rod - (Measured in Meter) - Diameter of Circular Rod is the distance between two points on the rod's circumference, passing through the center of the rod.
Cross-sectional area - (Measured in Square Meter) - The cross-sectional area, which is perpendicular to the path of heat flow.
STEP 1: Convert Input(s) to Base Unit
Cross-sectional area: 41 Square Meter --> 41 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
drod = sqrt((Aflow*4)/pi) --> sqrt((41*4)/pi)
Evaluating ... ...
drod = 7.22515199384357
STEP 3: Convert Result to Output's Unit
7.22515199384357 Meter --> No Conversion Required
FINAL ANSWER
7.22515199384357 7.225152 Meter <-- Diameter of Circular Rod
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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13 Heat and Mass Transfer Calculators

Heat Transfer by Conduction at Base
Go Rate of Conductive Heat Transfer = (Thermal Conductivity*Cross Sectional Area of Fin*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature)
Heat Exchange by Radiation due to Geometric Arrangement
Go Heat Transfer = Emissivity*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Black Bodies Heat Exchange by Radiation
Go Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Heat Transfer According to Fourier's Law
Go Heat Flow Through a Body = -(Thermal Conductivity of Material*Surface Area of Heat Flow*Temperature Difference/Thickness)
One Dimensional Heat Flux
Go Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Non Ideal Body Surface Emittance
Go Real Surface Radiant Surface Emittance = Emissivity*[Stefan-BoltZ]*Surface Temperature^(4)
Convective Processes Heat Transfer Coefficient
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery temperature)
Thermal Conductivity given Critical Thickness of Insulation for Cylinder
Go Thermal Conductivity of Fin = Critical Thickness of Insulation*Heat Transfer Coefficient at Outer Surface
Diameter of Rod Circular Fin given Area of Cross-Section
Go Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi)
Critical Thickness of Insulation for Cylinder
Go Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient
Thermal Resistance in Convection Heat Transfer
Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)
Heat Transfer
Go Heat Flow Rate = Thermal Potential Difference/Thermal Resistance

5 Heat Transfer Parameters Calculators

Absolute Humidity of Air at Initial Air Temperature
Go Absolute Humidity of Air(tg) = (((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Gas Phase Mass Transfer Coefficient*Enthalpy of Evaporation))+Absolute Humidity (ti)
Biot Number using Characteristic Length
Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)
Heat Flux
Go Heat Flux = Thermal Conductivity of Fin*Temperature of Conductor/Length of Conductor
Diameter of Rod Circular Fin given Area of Cross-Section
Go Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi)
Characteristic Length for Lumped System
Go Characteristic Length = (Volume)/(Area)

Diameter of Rod Circular Fin given Area of Cross-Section Formula

Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi)
drod = sqrt((Aflow*4)/pi)

What is steady state heat flow?

Steady-state conduction is the form of conduction that happens when the temperature difference(s) driving the conduction are constant, so that (after an equilibration time), the spatial distribution of temperatures (temperature field) in the conducting object does not change any further.

How to Calculate Diameter of Rod Circular Fin given Area of Cross-Section?

Diameter of Rod Circular Fin given Area of Cross-Section calculator uses Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi) to calculate the Diameter of Circular Rod, Diameter of Rod Circular Fin given area of cross-section formula gives the value of the diameter of Rod Circular Fin with the given cross-sectional area. Diameter of Circular Rod is denoted by drod symbol.

How to calculate Diameter of Rod Circular Fin given Area of Cross-Section using this online calculator? To use this online calculator for Diameter of Rod Circular Fin given Area of Cross-Section, enter Cross-sectional area (Aflow) and hit the calculate button. Here is how the Diameter of Rod Circular Fin given Area of Cross-Section calculation can be explained with given input values -> 7.225152 = sqrt((41*4)/pi).

FAQ

What is Diameter of Rod Circular Fin given Area of Cross-Section?
Diameter of Rod Circular Fin given area of cross-section formula gives the value of the diameter of Rod Circular Fin with the given cross-sectional area and is represented as drod = sqrt((Aflow*4)/pi) or Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi). The cross-sectional area, which is perpendicular to the path of heat flow.
How to calculate Diameter of Rod Circular Fin given Area of Cross-Section?
Diameter of Rod Circular Fin given area of cross-section formula gives the value of the diameter of Rod Circular Fin with the given cross-sectional area is calculated using Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi). To calculate Diameter of Rod Circular Fin given Area of Cross-Section, you need Cross-sectional area (Aflow). With our tool, you need to enter the respective value for Cross-sectional area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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