Heat Transfer Coefficient for Subcooling Inside Vertical Tubes Formula

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Inside Subcooling Coefficient is the heat transfer coefficient when the condensed vapor is further subcooled to lower temperature in a condenser inside a tube. Check FAQs

h sc inner = 7.5 \cdot {(4 \cdot (\frac{M f}{μ \cdot D i \cdot π}) \cdot (\frac{Cp \cdot {ρ f}^{2} \cdot {k f}^{2}}{μ}))}^{\frac{1}{3}}

h_{sc inner} - Inside Subcooling Coefficient?M_f - Mass Flowrate in Heat Exchanger?μ - Fluid Viscosity at Average Temperature?D_i - Pipe Inner Diameter in Exchanger?Cp - Specific Heat Capacity?ρ_f - Fluid Density in Heat Transfer?k_f - Thermal Conductivity in Heat Exchanger?π - Archimedes' constant?

Heat Transfer Coefficient for Subcooling Inside Vertical Tubes Example

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Here is how the Heat Transfer Coefficient for Subcooling Inside Vertical Tubes equation looks like with Values.

Here is how the Heat Transfer Coefficient for Subcooling Inside Vertical Tubes equation looks like with Units.

Here is how the Heat Transfer Coefficient for Subcooling Inside Vertical Tubes equation looks like.

31419.4371 = 7.5 \cdot {(4 \cdot (\frac{14}{1.005 \cdot 11.5 \cdot 3.1416}) \cdot (\frac{4.186 \cdot 995^{2} \cdot {3.4}^{2}}{1.005}))}^{\frac{1}{3}}

31419.4371W/m²*K = 7.5 \cdot {(4 \cdot (\frac{14kg/s}{1.005Pa*s \cdot 11.5mm \cdot 3.1416}) \cdot (\frac{4.186J/(kg*K) \cdot {995kg/m³}^{2} \cdot {3.4W/(m*K)}^{2}}{1.005Pa*s}))}^{\frac{1}{3}}

31419.4371 = 7.5 \cdot {(4 \cdot (\frac{14}{1.005 \cdot 11.5 \cdot 3.1416}) \cdot (\frac{4.186 \cdot 995^{2} \cdot {3.4}^{2}}{1.005}))}^{\frac{1}{3}}

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Heat Transfer Coefficient for Subcooling Inside Vertical Tubes Solution

Follow our step by step solution on how to calculate Heat Transfer Coefficient for Subcooling Inside Vertical Tubes?

FIRST Step Consider the formula

h sc inner = 7.5 \cdot {(4 \cdot (\frac{M f}{μ \cdot D i \cdot π}) \cdot (\frac{Cp \cdot {ρ f}^{2} \cdot {k f}^{2}}{μ}))}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

h sc inner = 7.5 \cdot {(4 \cdot (\frac{14kg/s}{1.005Pa*s \cdot 11.5mm \cdot π}) \cdot (\frac{4.186J/(kg*K) \cdot {995kg/m³}^{2} \cdot {3.4W/(m*K)}^{2}}{1.005Pa*s}))}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

h sc inner = 7.5 \cdot {(4 \cdot (\frac{14kg/s}{1.005Pa*s \cdot 11.5mm \cdot 3.1416}) \cdot (\frac{4.186J/(kg*K) \cdot {995kg/m³}^{2} \cdot {3.4W/(m*K)}^{2}}{1.005Pa*s}))}^{\frac{1}{3}}

Next Step Convert Units

∴

h sc inner = 7.5 \cdot {(4 \cdot (\frac{14kg/s}{1.005Pa*s \cdot 0.0115m \cdot 3.1416}) \cdot (\frac{4.186J/(kg*K) \cdot {995kg/m³}^{2} \cdot {3.4W/(m*K)}^{2}}{1.005Pa*s}))}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h sc inner = 7.5 \cdot {(4 \cdot (\frac{14}{1.005 \cdot 0.0115 \cdot 3.1416}) \cdot (\frac{4.186 \cdot 995^{2} \cdot {3.4}^{2}}{1.005}))}^{\frac{1}{3}}

Next Step Evaluate

∴

h sc inner = 31419.4370975165W/m²*K

LAST Step Rounding Answer

∴

h sc inner = 31419.4371W/m²*K

Heat Transfer Coefficient for Subcooling Inside Vertical Tubes Formula Elements

Variables

Constants

Inside Subcooling Coefficient

Inside Subcooling Coefficient is the heat transfer coefficient when the condensed vapor is further subcooled to lower temperature in a condenser inside a tube.

Symbol: h_{sc inner}

Measurement: Heat Transfer CoefficientUnit: W/m²*K