Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium Calculator

✖Length of parallelepiped is the length of a three-dimensional figure called parallelepiped formed by six parallelograms.ⓘ Length of Parallelepiped [L_pr]			+10% -10%
✖Distance from Surface to Surface of Object is the lateral distance between the two surfaces of the objects.ⓘ Distance from Surface to Surface of Object [D_ss]			+10% -10%
✖Width of parallelepiped is the width of a three-dimensional figure called parallelepiped formed by six parallelograms.ⓘ Width of Parallelepiped [W_pr]			+10% -10%
✖Height of parallelepiped is the height of a three-dimensional figure called a parallelepiped formed by six parallelograms.ⓘ Height of Parallelepiped [H]			+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.ⓘ Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium [S]

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Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conduction Shape Factor = 1.685*Length of Parallelepiped*(log10(1+Distance from Surface to Surface of Object/Width of Parallelepiped))^(-0.59)*(Distance from Surface to Surface of Object/Height of Parallelepiped)^(-0.078)
S = 1.685*L_pr*(log10(1+D_ss/W_pr))^(-0.59)*(D_ss/H)^(-0.078)
This formula uses 1 Functions, 5 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(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.
Length of Parallelepiped - (Measured in Meter) - Length of parallelepiped is the length of a three-dimensional figure called parallelepiped formed by six parallelograms.
Distance from Surface to Surface of Object - (Measured in Meter) - Distance from Surface to Surface of Object is the lateral distance between the two surfaces of the objects.
Width of Parallelepiped - (Measured in Meter) - Width of parallelepiped is the width of a three-dimensional figure called parallelepiped formed by six parallelograms.
Height of Parallelepiped - (Measured in Meter) - Height of parallelepiped is the height of a three-dimensional figure called a parallelepiped formed by six parallelograms.

STEP 1: Convert Input(s) to Base Unit

Length of Parallelepiped: 7.0479 Meter --> 7.0479 Meter No Conversion Required
Distance from Surface to Surface of Object: 8 Meter --> 8 Meter No Conversion Required
Width of Parallelepiped: 11 Meter --> 11 Meter No Conversion Required
Height of Parallelepiped: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = 1.685*L_pr*(log10(1+D_ss/W_pr))^(-0.59)*(D_ss/H)^(-0.078) --> 1.685*7.0479*(log10(1+8/11))^(-0.59)*(8/9)^(-0.078)

Evaluating ... ...

S = 28.0000045619557

STEP 3: Convert Result to Output's Unit

28.0000045619557 Meter --> No Conversion Required

FINAL ANSWER

28.0000045619557 ≈ 28 Meter <-- Conduction Shape Factor

(Calculation completed in 00.020 seconds)

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

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< 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)

Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium Formula

LaTeX Go

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 Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium?

Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium calculator uses Conduction Shape Factor = 1.685*Length of Parallelepiped*(log10(1+Distance from Surface to Surface of Object/Width of Parallelepiped))^(-0.59)*(Distance from Surface to Surface of Object/Height of Parallelepiped)^(-0.078) to calculate the Conduction Shape Factor, Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium formula is defined as a method to estimate the spreading resistance of a rectangular parallelepiped heat source buried in a semi-infinite medium, which is essential in thermal management and heat transfer analysis in various engineering applications. Conduction Shape Factor is denoted by S symbol.

How to calculate Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium using this online calculator? To use this online calculator for Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium, enter Length of Parallelepiped (L_pr), Distance from Surface to Surface of Object (D_ss), Width of Parallelepiped (W_pr) & Height of Parallelepiped (H) and hit the calculate button. Here is how the Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium calculation can be explained with given input values -> 190.6951 = 1.685*7.0479*(log10(1+8/11))^(-0.59)*(8/9)^(-0.078).

FAQ

What is Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium?

Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium formula is defined as a method to estimate the spreading resistance of a rectangular parallelepiped heat source buried in a semi-infinite medium, which is essential in thermal management and heat transfer analysis in various engineering applications and is represented as S = 1.685*L_pr*(log10(1+D_ss/W_pr))^(-0.59)*(D_ss/H)^(-0.078) or Conduction Shape Factor = 1.685*Length of Parallelepiped*(log10(1+Distance from Surface to Surface of Object/Width of Parallelepiped))^(-0.59)*(Distance from Surface to Surface of Object/Height of Parallelepiped)^(-0.078). Length of parallelepiped is the length of a three-dimensional figure called parallelepiped formed by six parallelograms, Distance from Surface to Surface of Object is the lateral distance between the two surfaces of the objects, Width of parallelepiped is the width of a three-dimensional figure called parallelepiped formed by six parallelograms & Height of parallelepiped is the height of a three-dimensional figure called a parallelepiped formed by six parallelograms.

How to calculate Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium?

Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium formula is defined as a method to estimate the spreading resistance of a rectangular parallelepiped heat source buried in a semi-infinite medium, which is essential in thermal management and heat transfer analysis in various engineering applications is calculated using Conduction Shape Factor = 1.685*Length of Parallelepiped*(log10(1+Distance from Surface to Surface of Object/Width of Parallelepiped))^(-0.59)*(Distance from Surface to Surface of Object/Height of Parallelepiped)^(-0.078). To calculate Isothermal Rectangular Parallelepiped Buried in Semi-Infinite Medium, you need Length of Parallelepiped (L_pr), Distance from Surface to Surface of Object (D_ss), Width of Parallelepiped (W_pr) & Height of Parallelepiped (H). With our tool, you need to enter the respective value for Length of Parallelepiped, Distance from Surface to Surface of Object, Width of Parallelepiped & Height of Parallelepiped 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 Length of Parallelepiped, Distance from Surface to Surface of Object, Width of Parallelepiped & Height of Parallelepiped. 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*Width of Plate)/ln((4*Width of Plate)/Length of Plate)
Conduction Shape Factor = (2*pi*Diameter of Sphere Insulated)/(1+(0.25*Diameter of Sphere Insulated)/Distance from Surface to Centre of Object)

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