Thin Rectangular Plate Buried in Semi-Infinite Medium Calculator

✖Width of plate is the measurement or extent from side to side.ⓘ Width of Plate [W_plate]			+10% -10%
✖Length of Plate is the distance between two extreme points along one side of the base plate.ⓘ Length of Plate [L_plate]			+10% -10%

✖Conduction shape factor is defined as the value used to determine the heat transfer rate for the configurations which are very complex and require high calculation time.ⓘ Thin Rectangular Plate Buried in Semi-Infinite Medium [S]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Conduction Shape Factors for Different Configurations Formulas PDF PDF Image

Thin Rectangular Plate Buried in Semi-Infinite Medium Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate)
S = (2*pi*W_plate)/ln((4*W_plate)/L_plate)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Conduction Shape Factor - (Measured in Meter) - Conduction shape factor is defined as the value used to determine the heat transfer rate for the configurations which are very complex and require high calculation time.
Width of Plate - (Measured in Meter) - Width of plate is the measurement or extent from side to side.
Length of Plate - (Measured in Meter) - Length of Plate is the distance between two extreme points along one side of the base plate.

STEP 1: Convert Input(s) to Base Unit

Width of Plate: 35.42548 Meter --> 35.42548 Meter No Conversion Required
Length of Plate: 0.05 Meter --> 0.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (2*pi*W_plate)/ln((4*W_plate)/L_plate) --> (2*pi*35.42548)/ln((4*35.42548)/0.05)

Evaluating ... ...

S = 28.0000040604345

STEP 3: Convert Result to Output's Unit

28.0000040604345 Meter --> No Conversion Required

FINAL ANSWER

28.0000040604345 ≈ 28 Meter <-- Conduction Shape Factor

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Conduction » Conduction Shape Factors for Different Configurations » Mechanical » Semi Infinite Medium » Thin Rectangular Plate Buried in Semi-Infinite Medium

Credits

Created by Ravi Khiyani

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

Ravi Khiyani has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Semi Infinite Medium Calculators

Row of Equally Spaced Parallel Isothermal Cylinders Buried in Semi-infinite Medium

LaTeX Go Conduction Shape Factor 2 = (2*pi*Length of Cylinder)/(ln((2*Distance Between Centers)/(pi*Diameter of Cylinder)*sinh((2*pi*Distance from Surface to Centre of Object)/Distance Between Centers)))

Isothermal Sphere Buried in Semi-Infinite Medium whose Surface is Insulated

LaTeX Go Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object)

Vertical Isothermal Cylinder Buried in Semi-Infinite Medium

LaTeX Go Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1))

Thin Rectangular Plate Buried in Semi-Infinite Medium

LaTeX Go Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate)

Thin Rectangular Plate Buried in Semi-Infinite Medium Formula

LaTeX Go

Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate)
S = (2*pi*W_plate)/ln((4*W_plate)/L_plate)

Why we use conduction shape factor?

Conduction shape factors are generally used when the geometries and configurations of the system are complex which makes the calculation of heat transfer very difficult.

How to Calculate Thin Rectangular Plate Buried in Semi-Infinite Medium?

Thin Rectangular Plate Buried in Semi-Infinite Medium calculator uses Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate) to calculate the Conduction Shape Factor, Thin Rectangular Plate Buried in Semi-Infinite Medium formula is defined as a measure of the thermal resistance of a thin rectangular plate buried in a semi-infinite medium, which is essential in understanding heat transfer and thermal management in various engineering applications. Conduction Shape Factor is denoted by S symbol.

How to calculate Thin Rectangular Plate Buried in Semi-Infinite Medium using this online calculator? To use this online calculator for Thin Rectangular Plate Buried in Semi-Infinite Medium, enter Width of Plate (W_plate) & Length of Plate (L_plate) and hit the calculate button. Here is how the Thin Rectangular Plate Buried in Semi-Infinite Medium calculation can be explained with given input values -> 18.4971 = (2*pi*35.42548)/ln((4*35.42548)/0.05).

FAQ

What is Thin Rectangular Plate Buried in Semi-Infinite Medium?

Thin Rectangular Plate Buried in Semi-Infinite Medium formula is defined as a measure of the thermal resistance of a thin rectangular plate buried in a semi-infinite medium, which is essential in understanding heat transfer and thermal management in various engineering applications and is represented as S = (2*pi*W_plate)/ln((4*W_plate)/L_plate) or Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate). Width of plate is the measurement or extent from side to side & Length of Plate is the distance between two extreme points along one side of the base plate.

How to calculate Thin Rectangular Plate Buried in Semi-Infinite Medium?

Thin Rectangular Plate Buried in Semi-Infinite Medium formula is defined as a measure of the thermal resistance of a thin rectangular plate buried in a semi-infinite medium, which is essential in understanding heat transfer and thermal management in various engineering applications is calculated using Conduction Shape Factor = (2*pi*Width of Plate)/ln((4*Width of Plate)/Length of Plate). To calculate Thin Rectangular Plate Buried in Semi-Infinite Medium, you need Width of Plate (W_plate) & Length of Plate (L_plate). With our tool, you need to enter the respective value for Width of Plate & Length of Plate 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 Conduction Shape Factor?

In this formula, Conduction Shape Factor uses Width of Plate & Length of Plate. We can use 3 other way(s) to calculate the same, which is/are as follows -

Conduction Shape Factor = (2*pi*Length of Cylinder 1)/(ln((4*Length of Cylinder 1)/Diameter of Cylinder 1))
Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object)
Conduction Shape Factor = (2*pi*Diameter of Sphere)/(1-((0.25*Diameter of Sphere)/Distance from Surface to Centre of Object))

Home

FREE PDFs

🔍 Search