Heat Transfer Coefficient for Subcooling Inside Vertical Tubes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inside Subcooling Coefficient = 7.5*(4*(Mass Flowrate in Heat Exchanger/(Fluid Viscosity at Average Temperature*Pipe Inner Diameter in Exchanger*pi))*((Specific Heat Capacity*Fluid Density in Heat Transfer^2*Thermal Conductivity in Heat Exchanger^2)/Fluid Viscosity at Average Temperature))^(1/3)
hsc inner = 7.5*(4*(Mf/(μ*Di*pi))*((Cp*ρf^2*kf^2)/μ))^(1/3)
This formula uses 1 Constants, 7 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Inside Subcooling Coefficient - (Measured in Watt per Square Meter per Kelvin) - Inside Subcooling Coefficient is the heat transfer coefficient when the condensed vapor is further subcooled to lower temperature in a condenser inside a tube.
Mass Flowrate in Heat Exchanger - (Measured in Kilogram per Second) - Mass Flowrate in Heat Exchanger is the mass of a substance that passes per unit of time in a Heat Exchanger.
Fluid Viscosity at Average Temperature - (Measured in Pascal Second) - Fluid viscosity at Average Temperature in Heat Exchanger is a fundamental property of fluids that characterizes their resistance to flow in a heat exchanger.
Pipe Inner Diameter in Exchanger - (Measured in Meter) - Pipe Inner Diameter in Exchanger is the inner diameter where in the flow of fluid takes place. Pipe thickness is not taken into account.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific heat capacity is the amount of energy required in order to raise the temperature of a unit mass by a unit degree in temperature.
Fluid Density in Heat Transfer - (Measured in Kilogram per Cubic Meter) - Fluid Density in Heat Transfer is defined as the ratio of mass of given fluid with respect to the volume that it occupies.
Thermal Conductivity in Heat Exchanger - (Measured in Watt per Meter per K) - Thermal Conductivity in Heat Exchanger is the proportionality constant for the heat flux during conduction heat transfer in a heat exchanger.
STEP 1: Convert Input(s) to Base Unit
Mass Flowrate in Heat Exchanger: 14 Kilogram per Second --> 14 Kilogram per Second No Conversion Required
Fluid Viscosity at Average Temperature: 1.005 Pascal Second --> 1.005 Pascal Second No Conversion Required
Pipe Inner Diameter in Exchanger: 11.5 Millimeter --> 0.0115 Meter (Check conversion ​here)
Specific Heat Capacity: 4.186 Joule per Kilogram per K --> 4.186 Joule per Kilogram per K No Conversion Required
Fluid Density in Heat Transfer: 995 Kilogram per Cubic Meter --> 995 Kilogram per Cubic Meter No Conversion Required
Thermal Conductivity in Heat Exchanger: 3.4 Watt per Meter per K --> 3.4 Watt per Meter per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hsc inner = 7.5*(4*(Mf/(μ*Di*pi))*((Cp*ρf^2*kf^2)/μ))^(1/3) --> 7.5*(4*(14/(1.005*0.0115*pi))*((4.186*995^2*3.4^2)/1.005))^(1/3)
Evaluating ... ...
hsc inner = 31419.4370975165
STEP 3: Convert Result to Output's Unit
31419.4370975165 Watt per Square Meter per Kelvin --> No Conversion Required
FINAL ANSWER
31419.4370975165 31419.44 Watt per Square Meter per Kelvin <-- Inside Subcooling Coefficient
(Calculation completed in 00.020 seconds)

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Heat Transfer Coefficient in Heat Exchangers Calculators

Heat Transfer Coefficient for Condensation Outside Horizontal Tubes
​ LaTeX ​ Go Average Condensation Coefficient = 0.95*Thermal Conductivity in Heat Exchanger*((Fluid Density in Heat Transfer*(Fluid Density in Heat Transfer-Density of Vapor)*([g]/Fluid Viscosity at Average Temperature)*(Number of Tubes in Heat Exchanger*Length of Tube in Heat Exchanger/Mass Flowrate in Heat Exchanger))^(1/3))*(Number of Tubes in Vertical Row of Exchanger^(-1/6))
Heat Transfer Coefficient for Condensation Inside Vertical Tubes
​ LaTeX ​ Go Average Condensation Coefficient = 0.926*Thermal Conductivity in Heat Exchanger*((Fluid Density in Heat Transfer/Fluid Viscosity at Average Temperature)*(Fluid Density in Heat Transfer-Density of Vapor)*[g]*(pi*Pipe Inner Diameter in Exchanger*Number of Tubes in Heat Exchanger/Mass Flowrate in Heat Exchanger))^(1/3)
Heat Transfer Coefficient for Condensation Outside Vertical Tubes
​ LaTeX ​ Go Average Condensation Coefficient = 0.926*Thermal Conductivity in Heat Exchanger*((Fluid Density in Heat Transfer/Fluid Viscosity at Average Temperature)*(Fluid Density in Heat Transfer-Density of Vapor)*[g]*(pi*Pipe Outer Dia*Number of Tubes in Heat Exchanger/Mass Flowrate in Heat Exchanger))^(1/3)
Heat Transfer Coefficient for Plate Heat Exchanger
​ LaTeX ​ Go Plate Film Coefficient = 0.26*(Thermal Conductivity in Heat Exchanger/Equivalent Diameter in Heat Exchanger)*(Reynold Number for Fluid^0.65)*(Prandlt Number for Fluid^0.4)*(Fluid Viscosity at Average Temperature/Fluid Viscosity at Tube Wall Temperature)^0.14

Heat Transfer Coefficient for Subcooling Inside Vertical Tubes Formula

​LaTeX ​Go
Inside Subcooling Coefficient = 7.5*(4*(Mass Flowrate in Heat Exchanger/(Fluid Viscosity at Average Temperature*Pipe Inner Diameter in Exchanger*pi))*((Specific Heat Capacity*Fluid Density in Heat Transfer^2*Thermal Conductivity in Heat Exchanger^2)/Fluid Viscosity at Average Temperature))^(1/3)
hsc inner = 7.5*(4*(Mf/(μ*Di*pi))*((Cp*ρf^2*kf^2)/μ))^(1/3)

What is a Condenser with Subcooling?

Vertical Condenser with sub-cooling is a shell and tube heat exchanger in which the tube orientation is in vertical manner. When the vapors are allowed to condensed, the phase changes from gas to liquid. When this liquid is further cooled down to a much lower temperature, we call it as sub-cooling.

What is the significance of Vertical Condensers?

Vertical Condensers are quite economical in process industries as they require less spacing for operations and also their performance is quite significant. The condensed vapors are generally formed around the pipe periphery.

How to Calculate Heat Transfer Coefficient for Subcooling Inside Vertical Tubes?

Heat Transfer Coefficient for Subcooling Inside Vertical Tubes calculator uses Inside Subcooling Coefficient = 7.5*(4*(Mass Flowrate in Heat Exchanger/(Fluid Viscosity at Average Temperature*Pipe Inner Diameter in Exchanger*pi))*((Specific Heat Capacity*Fluid Density in Heat Transfer^2*Thermal Conductivity in Heat Exchanger^2)/Fluid Viscosity at Average Temperature))^(1/3) to calculate the Inside Subcooling Coefficient, The Heat Transfer Coefficient for Subcooling Inside Vertical Tubes formula is defined as the film coefficient when the vapors are condensed inside a vertical tube and the corresponding liquid phase is further subcooled. Inside Subcooling Coefficient is denoted by hsc inner symbol.

How to calculate Heat Transfer Coefficient for Subcooling Inside Vertical Tubes using this online calculator? To use this online calculator for Heat Transfer Coefficient for Subcooling Inside Vertical Tubes, enter Mass Flowrate in Heat Exchanger (Mf), Fluid Viscosity at Average Temperature (μ), Pipe Inner Diameter in Exchanger (Di), Specific Heat Capacity (Cp), Fluid Density in Heat Transfer f) & Thermal Conductivity in Heat Exchanger (kf) and hit the calculate button. Here is how the Heat Transfer Coefficient for Subcooling Inside Vertical Tubes calculation can be explained with given input values -> 31419.44 = 7.5*(4*(14/(1.005*0.0115*pi))*((4.186*995^2*3.4^2)/1.005))^(1/3).

FAQ

What is Heat Transfer Coefficient for Subcooling Inside Vertical Tubes?
The Heat Transfer Coefficient for Subcooling Inside Vertical Tubes formula is defined as the film coefficient when the vapors are condensed inside a vertical tube and the corresponding liquid phase is further subcooled and is represented as hsc inner = 7.5*(4*(Mf/(μ*Di*pi))*((Cp*ρf^2*kf^2)/μ))^(1/3) or Inside Subcooling Coefficient = 7.5*(4*(Mass Flowrate in Heat Exchanger/(Fluid Viscosity at Average Temperature*Pipe Inner Diameter in Exchanger*pi))*((Specific Heat Capacity*Fluid Density in Heat Transfer^2*Thermal Conductivity in Heat Exchanger^2)/Fluid Viscosity at Average Temperature))^(1/3). Mass Flowrate in Heat Exchanger is the mass of a substance that passes per unit of time in a Heat Exchanger, Fluid viscosity at Average Temperature in Heat Exchanger is a fundamental property of fluids that characterizes their resistance to flow in a heat exchanger, Pipe Inner Diameter in Exchanger is the inner diameter where in the flow of fluid takes place. Pipe thickness is not taken into account, Specific heat capacity is the amount of energy required in order to raise the temperature of a unit mass by a unit degree in temperature, Fluid Density in Heat Transfer is defined as the ratio of mass of given fluid with respect to the volume that it occupies & Thermal Conductivity in Heat Exchanger is the proportionality constant for the heat flux during conduction heat transfer in a heat exchanger.
How to calculate Heat Transfer Coefficient for Subcooling Inside Vertical Tubes?
The Heat Transfer Coefficient for Subcooling Inside Vertical Tubes formula is defined as the film coefficient when the vapors are condensed inside a vertical tube and the corresponding liquid phase is further subcooled is calculated using Inside Subcooling Coefficient = 7.5*(4*(Mass Flowrate in Heat Exchanger/(Fluid Viscosity at Average Temperature*Pipe Inner Diameter in Exchanger*pi))*((Specific Heat Capacity*Fluid Density in Heat Transfer^2*Thermal Conductivity in Heat Exchanger^2)/Fluid Viscosity at Average Temperature))^(1/3). To calculate Heat Transfer Coefficient for Subcooling Inside Vertical Tubes, you need Mass Flowrate in Heat Exchanger (Mf), Fluid Viscosity at Average Temperature (μ), Pipe Inner Diameter in Exchanger (Di), Specific Heat Capacity (Cp), Fluid Density in Heat Transfer f) & Thermal Conductivity in Heat Exchanger (kf). With our tool, you need to enter the respective value for Mass Flowrate in Heat Exchanger, Fluid Viscosity at Average Temperature, Pipe Inner Diameter in Exchanger, Specific Heat Capacity, Fluid Density in Heat Transfer & Thermal Conductivity in Heat Exchanger 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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