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Shell Side Heat Transfer Coefficient Formula

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Shell Side Heat Transfer Coefficient is the heat transfer coefficient value for the the fluid that is allocated on the shell side of heat exchanger. Check FAQs

h s = J h \cdot Re \cdot ({Pr}^{0.333}) \cdot (\frac{k f}{d e}) \cdot {(\frac{μ}{μ W})}^{0.14}

h_s - Shell Side Heat Transfer Coefficient?J_h - Heat Transfer Factor?Re - Reynold Number for Fluid?Pr - Prandlt Number for Fluid?k_f - Thermal Conductivity in Heat Exchanger?d_e - Equivalent Diameter in Heat Exchanger?μ - Fluid Viscosity at Average Temperature?μ_W - Fluid Viscosity at Tube Wall Temperature?

Shell Side Heat Transfer Coefficient Example

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Here is how the Shell Side Heat Transfer Coefficient equation looks like with Values.

Here is how the Shell Side Heat Transfer Coefficient equation looks like with Units.

Here is how the Shell Side Heat Transfer Coefficient equation looks like.

1876.7844 = 0.008 \cdot 1000 \cdot ({3.27}^{0.333}) \cdot (\frac{3.4}{21.5}) \cdot {(\frac{1.005}{1.006})}^{0.14}

1876.7844W/m²*K = 0.008 \cdot 1000 \cdot ({3.27}^{0.333}) \cdot (\frac{3.4W/(m*K)}{21.5mm}) \cdot {(\frac{1.005Pa*s}{1.006Pa*s})}^{0.14}

1876.7844 = 0.008 \cdot 1000 \cdot ({3.27}^{0.333}) \cdot (\frac{3.4}{21.5}) \cdot {(\frac{1.005}{1.006})}^{0.14}

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Shell Side Heat Transfer Coefficient Solution

Follow our step by step solution on how to calculate Shell Side Heat Transfer Coefficient?

FIRST Step Consider the formula

h s = J h \cdot Re \cdot ({Pr}^{0.333}) \cdot (\frac{k f}{d e}) \cdot {(\frac{μ}{μ W})}^{0.14}

Next Step Substitute values of Variables

∴

h s = 0.008 \cdot 1000 \cdot ({3.27}^{0.333}) \cdot (\frac{3.4W/(m*K)}{21.5mm}) \cdot {(\frac{1.005Pa*s}{1.006Pa*s})}^{0.14}

Next Step Convert Units

∴

h s = 0.008 \cdot 1000 \cdot ({3.27}^{0.333}) \cdot (\frac{3.4W/(m*K)}{0.0215m}) \cdot {(\frac{1.005Pa*s}{1.006Pa*s})}^{0.14}

Next Step Prepare to Evaluate

∴

h s = 0.008 \cdot 1000 \cdot ({3.27}^{0.333}) \cdot (\frac{3.4}{0.0215}) \cdot {(\frac{1.005}{1.006})}^{0.14}

Next Step Evaluate

∴

h s = 1876.78436632618W/m²*K

LAST Step Rounding Answer

∴

h s = 1876.7844W/m²*K

Shell Side Heat Transfer Coefficient Formula Elements

Variables

Shell Side Heat Transfer Coefficient

Shell Side Heat Transfer Coefficient is the heat transfer coefficient value for the the fluid that is allocated on the shell side of heat exchanger.

Symbol: h_s

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Shell Side Heat Transfer Coefficient

Heat Transfer Factor

Heat Transfer Factor is a dimensionless quantity used to characterize the amount of Heat Transfered by a fluid as it flows through a pipe or conduit.

Symbol: J_h

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Heat Transfer Factor

Reynold Number for Fluid

Reynold Number for Fluid is defined as the ratio of inertial force to the viscous force of fluid.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynold Number for Fluid

Prandlt Number for Fluid

Prandlt number for Fluid is the ratio of conductive to convective heat transfer of the fluid.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandlt Number for Fluid

Thermal Conductivity in Heat Exchanger

Thermal Conductivity in Heat Exchanger is the proportionality constant for the heat flux during conduction heat transfer in a heat exchanger.

Symbol: k_f

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity in Heat Exchanger

Equivalent Diameter in Heat Exchanger

Equivalent diameter in Heat Exchanger represents a single characteristic length that takes into account the cross-sectional shape and flow path of a non-circular or irregularly shaped channel or duct.

Symbol: d_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Equivalent Diameter in Heat Exchanger

Fluid Viscosity at Average Temperature

Fluid viscosity at Average Temperature in Heat Exchanger is a fundamental property of fluids that characterizes their resistance to flow in a heat exchanger.

Symbol: μ

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Fluid Viscosity at Average Temperature

Fluid Viscosity at Tube Wall Temperature

Fluid Viscosity at Tube Wall Temperature is defined at the temperature of the wall of pipe or Tube at which the fluid is in contact with it.

Symbol: μ_W

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Fluid Viscosity at Tube Wall Temperature

Other formulas in Heat Transfer Coefficient in Heat Exchangers category

Go Heat Transfer Coefficient for Condensation Inside Vertical Tubes

h average = 0.926 \cdot k f \cdot {((\frac{ρ f}{μ}) \cdot (ρ f - ρ V) \cdot [g] \cdot (π \cdot D i \cdot \frac{N t}{M f}))}^{\frac{1}{3}}

Go Heat Transfer Coefficient for Condensation Outside Horizontal Tubes

h average = 0.95 \cdot k f \cdot ({(ρ f \cdot (ρ f - ρ V) \cdot (\frac{[g]}{μ}) \cdot (N t \cdot \frac{L t}{M f}))}^{\frac{1}{3}}) \cdot ({N Vertical}^{- \frac{1}{6}})

How to Evaluate Shell Side Heat Transfer Coefficient?

Shell Side Heat Transfer Coefficient evaluator uses Shell Side Heat Transfer Coefficient = Heat Transfer Factor*Reynold Number for Fluid*(Prandlt Number for Fluid^0.333)*(Thermal Conductivity in Heat Exchanger/Equivalent Diameter in Heat Exchanger)*(Fluid Viscosity at Average Temperature/Fluid Viscosity at Tube Wall Temperature)^0.14 to evaluate the Shell Side Heat Transfer Coefficient, The Shell Side Heat Transfer Coefficient formula is defined as the heat transfer coefficient of the fluid that is allocated on the shell side of Heat Exchanger. It quantifies how effectively heat is exchanged between the fluid inside the tubes (tube-side fluid) and the fluid outside the tubes (shell-side fluid) in a Heat Exchanger. Shell Side Heat Transfer Coefficient is denoted by h_s symbol.

How to evaluate Shell Side Heat Transfer Coefficient using this online evaluator? To use this online evaluator for Shell Side Heat Transfer Coefficient, enter Heat Transfer Factor (J_h), Reynold Number for Fluid (Re), Prandlt Number for Fluid (Pr), Thermal Conductivity in Heat Exchanger (k_f), Equivalent Diameter in Heat Exchanger (d_e), Fluid Viscosity at Average Temperature (μ) & Fluid Viscosity at Tube Wall Temperature (μ_W) and hit the calculate button.

FAQs on Shell Side Heat Transfer Coefficient

What is the formula to find Shell Side Heat Transfer Coefficient?

The formula of Shell Side Heat Transfer Coefficient is expressed as Shell Side Heat Transfer Coefficient = Heat Transfer Factor*Reynold Number for Fluid*(Prandlt Number for Fluid^0.333)*(Thermal Conductivity in Heat Exchanger/Equivalent Diameter in Heat Exchanger)*(Fluid Viscosity at Average Temperature/Fluid Viscosity at Tube Wall Temperature)^0.14. Here is an example- 1876.784 = 0.008*1000*(3.27^0.333)*(3.4/0.0215)*(1.005/1.006)^0.14.

How to calculate Shell Side Heat Transfer Coefficient?

With Heat Transfer Factor (J_h), Reynold Number for Fluid (Re), Prandlt Number for Fluid (Pr), Thermal Conductivity in Heat Exchanger (k_f), Equivalent Diameter in Heat Exchanger (d_e), Fluid Viscosity at Average Temperature (μ) & Fluid Viscosity at Tube Wall Temperature (μ_W) we can find Shell Side Heat Transfer Coefficient using the formula - Shell Side Heat Transfer Coefficient = Heat Transfer Factor*Reynold Number for Fluid*(Prandlt Number for Fluid^0.333)*(Thermal Conductivity in Heat Exchanger/Equivalent Diameter in Heat Exchanger)*(Fluid Viscosity at Average Temperature/Fluid Viscosity at Tube Wall Temperature)^0.14.

Can the Shell Side Heat Transfer Coefficient be negative?

No, the Shell Side Heat Transfer Coefficient, measured in Heat Transfer Coefficient cannot be negative.

Which unit is used to measure Shell Side Heat Transfer Coefficient?

Shell Side Heat Transfer Coefficient is usually measured using the Watt per Square Meter per Kelvin[W/m²*K] for Heat Transfer Coefficient. Watt per Square Meter per Celcius[W/m²*K], Joule per Second per Square Meter per Kelvin[W/m²*K], Kilocalorie (IT) per Hour per Square Foot per Celcius[W/m²*K] are the few other units in which Shell Side Heat Transfer Coefficient can be measured.

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Shell Side Heat Transfer Coefficient Formula

Shell Side Heat Transfer Coefficient Example

Shell Side Heat Transfer Coefficient Solution

Shell Side Heat Transfer Coefficient Formula Elements

Other formulas in Heat Transfer Coefficient in Heat Exchangers category

How to Evaluate Shell Side Heat Transfer Coefficient?

FAQs on Shell Side Heat Transfer Coefficient

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