Heat flow rate through a cylindrical composite wall of 3 layers Calculator

Category	Physics ↺
Physics	Heat and Mass Transfer ↺
Heat-And-Mass-Transfer	Conduction ↺
Conduction	Cylinders ↺

✖Inner surface temperature is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc.)ⓘ inner surface temperature [Ti]			+10% -10%
✖outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc.) ⓘ outer surface temperature [To]			+10% -10%
✖radius2 is the radius of the second concentric circle or circle.ⓘ radius2 [r2]			+10% -10%
✖Radius1 is the distance from the centre of the concentric circles to any point on the first/smallest concentric circle or the radius of the first circle.ⓘ radius1 [r1]			+10% -10%
✖Thermal conductivity 1 is the thermal conductivity of the first bodyⓘ thermal conductivity 1 [k1]			+10% -10%
✖The length of cylinder.ⓘ length of cylinder [l]			+10% -10%
✖radius 3 is the distance from the centre of the concentric circles to any point on the third concentric circle or radius of the third circle.ⓘ radius 3 [r3]			+10% -10%
✖Thermal conductivity 2 is the thermal conductivity of the second body ⓘ thermal conductivity 2 [k2]			+10% -10%
✖radius4 is the radius of a fourth concentric circle or fourth circleⓘ radius4 [r4]			+10% -10%
✖Thermal conductivity 3 is the thermal conductivity of the third body ⓘ thermal conductivity 3 [k3]			+10% -10%

✖Heat flow rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.ⓘ Heat flow rate through a cylindrical composite wall of 3 layers [Q]

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Heat flow rate through a cylindrical composite wall of 3 layers

Sai Venkata Phanindra Chary Arendra

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

Sai Venkata Phanindra Chary Arendra has created this Calculator and 50+ more calculators!

Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Total thermal resistance of 3 cylindrical resistances connected in series

Thermal resistance=((ln(radius2/radius1))/(2*pi*thermal conductivity 1*length of cylinder))+((ln(radius 3/radius2))/(2*pi*thermal conductivity 2*length of cylinder))+((ln(radius4/radius 3))/(2*pi*thermal conductivity 3*length of cylinder)) GO

Total thermal resistance of 2 cylindrical resistances connected in series.

Thermal resistance=((ln(radius2/radius1))/(2*pi*thermal conductivity 1*length of cylinder))+((ln(radius 3/radius2))/(2*pi*thermal conductivity 2*length of cylinder)) GO

Radial Heat flowing through a cylinder

Heat=(Thermal Conductivity*2*pi*(outer radius-inner radius)*Temperature Difference*length of cylinder)/((ln(outer radius/inner radius))*(outer radius-inner radius)) GO

Thermal resistance of a composite wall with 3 layers in series

Thermal resistance=(length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area))+(length 3/(thermal conductivity 3*Area)) GO

Thermal resistance for conduction through 2 resistances in parallel

Thermal resistance=(Length)/((thermal conductivity 1*Cross Sectional area 1)+(thermal conductivity 2*Cross-Sectional area at a point 2)) GO

Thermal conductivity of the material required to maintain a given temperature difference

Thermal Conductivity=(heat flow rate*Length)/((inner surface temperature -outer surface temperature)*Area) GO

Area of the plane wall required for a given temperature difference

Area=(heat flow rate*Length)/((inner surface temperature -outer surface temperature)*Thermal Conductivity) GO

Thickness of the plane wall required for a given temperature difference

Length=((inner surface temperature -outer surface temperature)*Thermal Conductivity*Area)/heat flow rate GO

Thermal resistance of a composite wall with 2 layers in series

Thermal resistance=(length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area)) GO

Thermal resistance for radial heat conduction offered by a cylinder wall

Thermal resistance=ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*length of cylinder) GO

Capacitance of a Cylindrical Capacitor

Capacitance=dielectric constant*length of cylinder/(2*[Coulomb]*(outer radius-inner radius)) GO

< 7 Other formulas that calculate the same Output

Heat flow rate through a cylindrical composite wall of 2 layers

Heat flow rate through a spherical composite wall of 2 layers in series

heat flow rate=(inner surface temperature -outer surface temperature)/(((1/(4*pi*thermal conductivity 1))*((1/radius1)-(1/radius2)))+((1/(4*pi*thermal conductivity 2))*((1/radius2)-(1/radius 3)))) GO

Heat flow rate through a composite wall of 3 layers in series

heat flow rate=(inner surface temperature -outer surface temperature)/((length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area))+(length 3/(thermal conductivity 3*Area))) GO

Heat flow rate through a composite wall of 2 layers in series

heat flow rate=(inner surface temperature -outer surface temperature)/((length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area))) GO

Heat flow rate through a cylindrical wall

heat flow rate=(inner surface temperature -outer surface temperature)/((ln(radius2/radius1))/(2*pi*Thermal Conductivity*length of cylinder)) GO

Heat flow rate through a spherical wall

heat flow rate=(inner surface temperature -outer surface temperature)/((radius2-radius1)/(4*pi*radius1*radius2*Thermal Conductivity)) GO

Heat flow required

heat flow rate=Area*Overall Heat Transfer Coefficient*Logarithmic mean temperature difference GO

Heat flow rate through a cylindrical composite wall of 3 layers Formula

heat flow rate=(inner surface temperature -outer surface temperature)/(((ln(radius2/radius1))/(2*pi*thermal conductivity 1*length of cylinder))+((ln(radius 3/radius2))/(2*pi*thermal conductivity 2*length of cylinder))+((ln(radius4/radius 3))/(2*pi*thermal conductivity 3*length of cylinder)))
Q=(Ti-To)/(((ln(r2/r1))/(2*pi*k1*l))+((ln(r3/r2))/(2*pi*k2*l))+((ln(r4/r3))/(2*pi*k3*l)))

More formulas

Thermal resistance for radial heat conduction offered by a cylinder wall GO

Total thermal resistance of 2 cylindrical resistances connected in series. GO

Total thermal resistance of 3 cylindrical resistances connected in series GO

Heat flow rate through a cylindrical wall GO

Thermal conductivity of a cylindrical wall for a given temperature difference GO

Length of the cylindrical wall for a given heat flow rate GO

Outer surface temperature of a cylindrical wall for a given heat flow rate GO

Inner surface temperature of a cylindrical wall for a given heat flow rate GO

Heat flow rate through a cylindrical composite wall of 2 layers GO

Outer surface temperature of the cylindrical composite wall of 2 layers GO

Total thermal resistance of a cylindrical wall with convection either side GO

Convection resistance for a cylindrical layer GO

What is heat conduction?

Heat conduction is the transfer of internal thermal energy by the collisions of microscopic particles and the movement of electrons within a body. The microscopic particles in the heat conduction can be molecules, atoms, and electrons.

How to Calculate Heat flow rate through a cylindrical composite wall of 3 layers?

Heat flow rate through a cylindrical composite wall of 3 layers calculator uses heat flow rate=(inner surface temperature -outer surface temperature)/(((ln(radius2/radius1))/(2*pi*thermal conductivity 1*length of cylinder))+((ln(radius 3/radius2))/(2*pi*thermal conductivity 2*length of cylinder))+((ln(radius4/radius 3))/(2*pi*thermal conductivity 3*length of cylinder))) to calculate the heat flow rate, The Heat flow rate through a cylindrical composite wall of 3 layers formula is the rate of heat flow through a cylindrical composite wall of 3 layers when the inner and outer surface temperatures, the radius of layers, length of the cylinders, and thermal conductivities are known. heat flow rate and is denoted by Q symbol.

How to calculate Heat flow rate through a cylindrical composite wall of 3 layers using this online calculator? To use this online calculator for Heat flow rate through a cylindrical composite wall of 3 layers, enter inner surface temperature (Ti), outer surface temperature (To), radius2 (r2), radius1 (r1), thermal conductivity 1 (k1), length of cylinder (l), radius 3 (r3), thermal conductivity 2 (k2), radius4 (r4) and thermal conductivity 3 (k3) and hit the calculate button. Here is how the Heat flow rate through a cylindrical composite wall of 3 layers calculation can be explained with given input values -> NaN = (1-1)/(((ln(1/1))/(2*pi*1*1))+((ln(1/1))/(2*pi*1*1))+((ln(1/1))/(2*pi*1*1))).

FAQ

What is Heat flow rate through a cylindrical composite wall of 3 layers?

The Heat flow rate through a cylindrical composite wall of 3 layers formula is the rate of heat flow through a cylindrical composite wall of 3 layers when the inner and outer surface temperatures, the radius of layers, length of the cylinders, and thermal conductivities are known and is represented as Q=(Ti-To)/(((ln(r2/r1))/(2*pi*k1*l))+((ln(r3/r2))/(2*pi*k2*l))+((ln(r4/r3))/(2*pi*k3*l))) or heat flow rate=(inner surface temperature -outer surface temperature)/(((ln(radius2/radius1))/(2*pi*thermal conductivity 1*length of cylinder))+((ln(radius 3/radius2))/(2*pi*thermal conductivity 2*length of cylinder))+((ln(radius4/radius 3))/(2*pi*thermal conductivity 3*length of cylinder))). Inner surface temperature is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc.), outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc.) , radius2 is the radius of the second concentric circle or circle, Radius1 is the distance from the centre of the concentric circles to any point on the first/smallest concentric circle or the radius of the first circle, Thermal conductivity 1 is the thermal conductivity of the first body, The length of cylinder, radius 3 is the distance from the centre of the concentric circles to any point on the third concentric circle or radius of the third circle, Thermal conductivity 2 is the thermal conductivity of the second body , radius4 is the radius of a fourth concentric circle or fourth circle and Thermal conductivity 3 is the thermal conductivity of the third body .

How to calculate Heat flow rate through a cylindrical composite wall of 3 layers?

The Heat flow rate through a cylindrical composite wall of 3 layers formula is the rate of heat flow through a cylindrical composite wall of 3 layers when the inner and outer surface temperatures, the radius of layers, length of the cylinders, and thermal conductivities are known is calculated using heat flow rate=(inner surface temperature -outer surface temperature)/(((ln(radius2/radius1))/(2*pi*thermal conductivity 1*length of cylinder))+((ln(radius 3/radius2))/(2*pi*thermal conductivity 2*length of cylinder))+((ln(radius4/radius 3))/(2*pi*thermal conductivity 3*length of cylinder))). To calculate Heat flow rate through a cylindrical composite wall of 3 layers, you need inner surface temperature (Ti), outer surface temperature (To), radius2 (r2), radius1 (r1), thermal conductivity 1 (k1), length of cylinder (l), radius 3 (r3), thermal conductivity 2 (k2), radius4 (r4) and thermal conductivity 3 (k3). With our tool, you need to enter the respective value for inner surface temperature , outer surface temperature, radius2, radius1, thermal conductivity 1, length of cylinder, radius 3, thermal conductivity 2, radius4 and thermal conductivity 3 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 heat flow rate?

In this formula, heat flow rate uses inner surface temperature , outer surface temperature, radius2, radius1, thermal conductivity 1, length of cylinder, radius 3, thermal conductivity 2, radius4 and thermal conductivity 3. We can use 7 other way(s) to calculate the same, which is/are as follows -

heat flow rate=(inner surface temperature -outer surface temperature)/((length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area)))
heat flow rate=(inner surface temperature -outer surface temperature)/((length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area))+(length 3/(thermal conductivity 3*Area)))
heat flow rate=(inner surface temperature -outer surface temperature)/((ln(radius2/radius1))/(2*pi*Thermal Conductivity*length of cylinder))
heat flow rate=(inner surface temperature -outer surface temperature)/(((ln(radius2/radius1))/(2*pi*thermal conductivity 1*length of cylinder))+((ln(radius 3/radius2))/(2*pi*thermal conductivity 2*length of cylinder)))
heat flow rate=(inner surface temperature -outer surface temperature)/((radius2-radius1)/(4*pi*radius1*radius2*Thermal Conductivity))
heat flow rate=(inner surface temperature -outer surface temperature)/(((1/(4*pi*thermal conductivity 1))*((1/radius1)-(1/radius2)))+((1/(4*pi*thermal conductivity 2))*((1/radius2)-(1/radius 3))))
heat flow rate=Area*Overall Heat Transfer Coefficient*Logarithmic mean temperature difference

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