Thermal resistance for conduction through 2 resistances in parallel Calculator

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Basics of HMT

Conduction

Convection

Convective Mass Transfer

✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Thermal Conductivity 1 is the thermal conductivity of the first body.ⓘ Thermal Conductivity 1 [k₁]			+10% -10%
✖Point 1 Cross-Sectional Area at is defined as the area of the section at point 1.ⓘ Point 1 Cross-Sectional Area [A₁]			+10% -10%
✖Thermal Conductivity 2 is the thermal conductivity of the second body.ⓘ Thermal Conductivity 2 [k₂]			+10% -10%
✖Point 2 Cross-Sectional Area is defined as the area of the section at point 2.ⓘ Point 2 Cross-Sectional Area [A₂]			+10% -10%

✖Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.ⓘ Thermal resistance for conduction through 2 resistances in parallel [R_th]

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Formula

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Thermal resistance for conduction through 2 resistances in parallel

Formula

`"R"_{"th"} = ("L")/(("k"_{"1"}*"A"_{"1"})+("k"_{"2"}*"A"_{"2"}))`

Example

`"5K/W"=("40m")/(("0.4W/(m*K)"*"10m²")+("0.5W/(m*K)"*"8m²"))`

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Thermal resistance for conduction through 2 resistances in parallel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Resistance = (Length)/((Thermal Conductivity 1*Point 1 Cross-Sectional Area)+(Thermal Conductivity 2*Point 2 Cross-Sectional Area))
R_th = (L)/((k₁*A₁)+(k₂*A₂))
This formula uses 6 Variables

Variables Used

Thermal Resistance - (Measured in Kelvin per Watt) - Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Thermal Conductivity 1 - (Measured in Watt per Meter per K) - Thermal Conductivity 1 is the thermal conductivity of the first body.
Point 1 Cross-Sectional Area - (Measured in Square Meter) - Point 1 Cross-Sectional Area at is defined as the area of the section at point 1.
Thermal Conductivity 2 - (Measured in Watt per Meter per K) - Thermal Conductivity 2 is the thermal conductivity of the second body.
Point 2 Cross-Sectional Area - (Measured in Square Meter) - Point 2 Cross-Sectional Area is defined as the area of the section at point 2.

STEP 1: Convert Input(s) to Base Unit

Length: 40 Meter --> 40 Meter No Conversion Required
Thermal Conductivity 1: 0.4 Watt per Meter per K --> 0.4 Watt per Meter per K No Conversion Required
Point 1 Cross-Sectional Area: 10 Square Meter --> 10 Square Meter No Conversion Required
Thermal Conductivity 2: 0.5 Watt per Meter per K --> 0.5 Watt per Meter per K No Conversion Required
Point 2 Cross-Sectional Area: 8 Square Meter --> 8 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_th = (L)/((k₁*A₁)+(k₂*A₂)) --> (40)/((0.4*10)+(0.5*8))

Evaluating ... ...

R_th = 5

STEP 3: Convert Result to Output's Unit

5 Kelvin per Watt --> No Conversion Required

FINAL ANSWER

5 Kelvin per Watt <-- Thermal Resistance

(Calculation completed in 00.021 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 6 Basics of HMT Calculators

Thermal resistance for conduction through 2 resistances in parallel

Go Thermal Resistance = (Length)/((Thermal Conductivity 1*Point 1 Cross-Sectional Area)+(Thermal Conductivity 2*Point 2 Cross-Sectional Area))

Total Thermal Resistance for Conduction through Two Resistances in Parallel

Go Thermal Resistance in Parallel = (Thermal Resistance 1*Thermal Resistance 2)/(Thermal Resistance 1+Thermal Resistance 2)

Total Thermal Resistance for Conduction through Three Resistances in Series

Go Thermal Resistance in Series = Thermal Resistance 1+Thermal Resistance 2+Thermal resistance 3

Heat Flux

Go Heat Flux = Thermal Conductivity of Fin*Temperature of Conductor/Length of Conductor

Total Thermal Resistance for Conduction through Two Resistances in Series

Go Thermal Resistance = Thermal Resistance 1+Thermal Resistance 2

Thermal Conductance for given Thermal Resistance

Go Thermal Conductance = 1/Thermal Resistance

Thermal resistance for conduction through 2 resistances in parallel Formula

Thermal Resistance = (Length)/((Thermal Conductivity 1*Point 1 Cross-Sectional Area)+(Thermal Conductivity 2*Point 2 Cross-Sectional Area))
R_th = (L)/((k₁*A₁)+(k₂*A₂))

What is thermal resistance?

Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow. Thermal resistance is the reciprocal of thermal conductance

How to Calculate Thermal resistance for conduction through 2 resistances in parallel?

Thermal resistance for conduction through 2 resistances in parallel calculator uses Thermal Resistance = (Length)/((Thermal Conductivity 1*Point 1 Cross-Sectional Area)+(Thermal Conductivity 2*Point 2 Cross-Sectional Area)) to calculate the Thermal Resistance, The Thermal resistance for conduction through 2 resistances in parallel formula is defined as equivalent thermal resistance for conduction through 2 thermal resistances in parallel, when length, thermal conductivity, and area of each resistance are known. Thermal Resistance is denoted by R_th symbol.

How to calculate Thermal resistance for conduction through 2 resistances in parallel using this online calculator? To use this online calculator for Thermal resistance for conduction through 2 resistances in parallel, enter Length (L), Thermal Conductivity 1 (k₁), Point 1 Cross-Sectional Area (A₁), Thermal Conductivity 2 (k₂) & Point 2 Cross-Sectional Area (A₂) and hit the calculate button. Here is how the Thermal resistance for conduction through 2 resistances in parallel calculation can be explained with given input values -> 8.333333 = (40)/((0.4*10)+(0.5*8)).

FAQ

What is Thermal resistance for conduction through 2 resistances in parallel?

The Thermal resistance for conduction through 2 resistances in parallel formula is defined as equivalent thermal resistance for conduction through 2 thermal resistances in parallel, when length, thermal conductivity, and area of each resistance are known and is represented as R_th = (L)/((k₁*A₁)+(k₂*A₂)) or Thermal Resistance = (Length)/((Thermal Conductivity 1*Point 1 Cross-Sectional Area)+(Thermal Conductivity 2*Point 2 Cross-Sectional Area)). Length is the measurement or extent of something from end to end, Thermal Conductivity 1 is the thermal conductivity of the first body, Point 1 Cross-Sectional Area at is defined as the area of the section at point 1, Thermal Conductivity 2 is the thermal conductivity of the second body & Point 2 Cross-Sectional Area is defined as the area of the section at point 2.

How to calculate Thermal resistance for conduction through 2 resistances in parallel?

The Thermal resistance for conduction through 2 resistances in parallel formula is defined as equivalent thermal resistance for conduction through 2 thermal resistances in parallel, when length, thermal conductivity, and area of each resistance are known is calculated using Thermal Resistance = (Length)/((Thermal Conductivity 1*Point 1 Cross-Sectional Area)+(Thermal Conductivity 2*Point 2 Cross-Sectional Area)). To calculate Thermal resistance for conduction through 2 resistances in parallel, you need Length (L), Thermal Conductivity 1 (k₁), Point 1 Cross-Sectional Area (A₁), Thermal Conductivity 2 (k₂) & Point 2 Cross-Sectional Area (A₂). With our tool, you need to enter the respective value for Length, Thermal Conductivity 1, Point 1 Cross-Sectional Area, Thermal Conductivity 2 & Point 2 Cross-Sectional Area 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 Thermal Resistance?

In this formula, Thermal Resistance uses Length, Thermal Conductivity 1, Point 1 Cross-Sectional Area, Thermal Conductivity 2 & Point 2 Cross-Sectional Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

Thermal Resistance = Thermal Resistance 1+Thermal Resistance 2

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