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Overall Heat Transfer Coefficient for Unfinned Tube Formula

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Overall Heat Transfer Coefficient after Fouling is defined as the overall HT Coefficient of uncleaned heat exchanger after fouling has occured in it. Check FAQs

U d = \frac{1}{(\frac{1}{h outside}) + R o + (\frac{(d o \cdot (\ln (\frac{d o}{d i})))}{2 \cdot k}) + (\frac{R i \cdot A o}{A i}) + (\frac{A o}{h inside \cdot A i})}

U_d - Overall Heat Transfer Coefficient after Fouling?h_outside - External Convection Heat Transfer Coefficient?R_o - Fouling Factor on Outside of Tube?d_o - Outside Tube Diameter?d_i - Inside Tube Diameter?k - Thermal Conductivity?R_i - Fouling Factor on Inside of Tube?A_o - Outside Tube Surface Area?A_i - Inside Tube Surface Area?h_inside - Inside Convection Heat Transfer Coefficient?

Overall Heat Transfer Coefficient for Unfinned Tube Example

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Here is how the Overall Heat Transfer Coefficient for Unfinned Tube equation looks like with Values.

Here is how the Overall Heat Transfer Coefficient for Unfinned Tube equation looks like with Units.

Here is how the Overall Heat Transfer Coefficient for Unfinned Tube equation looks like.

0.9759 = \frac{1}{(\frac{1}{17}) + 0.001 + (\frac{(2.68 \cdot (\ln (\frac{2.68}{1.27})))}{2 \cdot 10.18}) + (\frac{0.002 \cdot 14}{12}) + (\frac{14}{1.35 \cdot 12})}

0.9759W/m²*K = \frac{1}{(\frac{1}{17W/m²*K}) + 0.001m²K/W + (\frac{(2.68m \cdot (\ln (\frac{2.68m}{1.27m})))}{2 \cdot 10.18W/(m*K)}) + (\frac{0.002m²K/W \cdot 14m²}{12m²}) + (\frac{14m²}{1.35W/m²*K \cdot 12m²})}

0.9759 = \frac{1}{(\frac{1}{17}) + 0.001 + (\frac{(2.68 \cdot (\ln (\frac{2.68}{1.27})))}{2 \cdot 10.18}) + (\frac{0.002 \cdot 14}{12}) + (\frac{14}{1.35 \cdot 12})}

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Overall Heat Transfer Coefficient for Unfinned Tube Solution

Follow our step by step solution on how to calculate Overall Heat Transfer Coefficient for Unfinned Tube?

FIRST Step Consider the formula

U d = \frac{1}{(\frac{1}{h outside}) + R o + (\frac{(d o \cdot (\ln (\frac{d o}{d i})))}{2 \cdot k}) + (\frac{R i \cdot A o}{A i}) + (\frac{A o}{h inside \cdot A i})}

Next Step Substitute values of Variables

∴

U d = \frac{1}{(\frac{1}{17W/m²*K}) + 0.001m²K/W + (\frac{(2.68m \cdot (\ln (\frac{2.68m}{1.27m})))}{2 \cdot 10.18W/(m*K)}) + (\frac{0.002m²K/W \cdot 14m²}{12m²}) + (\frac{14m²}{1.35W/m²*K \cdot 12m²})}

Next Step Prepare to Evaluate

∴

U d = \frac{1}{(\frac{1}{17}) + 0.001 + (\frac{(2.68 \cdot (\ln (\frac{2.68}{1.27})))}{2 \cdot 10.18}) + (\frac{0.002 \cdot 14}{12}) + (\frac{14}{1.35 \cdot 12})}

Next Step Evaluate

∴

U d = 0.975937149366369W/m²*K

LAST Step Rounding Answer

∴

U d = 0.9759W/m²*K

Overall Heat Transfer Coefficient for Unfinned Tube Formula Elements

Variables

Functions

Overall Heat Transfer Coefficient after Fouling

Overall Heat Transfer Coefficient after Fouling is defined as the overall HT Coefficient of uncleaned heat exchanger after fouling has occured in it.

Symbol: U_d

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Overall Heat Transfer Coefficient after Fouling

External Convection Heat Transfer Coefficient

External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.

Symbol: h_outside

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find External Convection Heat Transfer Coefficient

Fouling Factor on Outside of Tube

Fouling Factor on Outside of Tube represents the theoretical resistance to heat flow due to the buildup of a fouling layer on the Outside of tube surfaces of the heat exchanger.

Symbol: R_o

Measurement: Fouling FactorUnit: m²K/W

Note: Value should be greater than 0.

Formulas to find Fouling Factor on Outside of Tube

Outside Tube Diameter

Outside Tube Diameter is defined as the Outer diameter of the tube present in heat exchanger.

Symbol: d_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Outside Tube Diameter

Inside Tube Diameter

Inside Tube Diameter is defined as the Outer diameter of the tube present in heat exchanger.

Symbol: d_i

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Inside Tube Diameter

Thermal Conductivity

Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.

Symbol: k

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

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Fouling Factor on Inside of Tube

Fouling Factor on Inside of Tube represents the theoretical resistance to heat flow due to the buildup of a fouling layer on the Inside of tube surfaces of the heat exchanger.

Symbol: R_i

Measurement: Fouling FactorUnit: m²K/W

Note: Value should be greater than 0.

Formulas to find Fouling Factor on Inside of Tube

Outside Tube Surface Area

Outside Tube Surface Area is the outer surface area of the tube.

Symbol: A_o

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Outside Tube Surface Area

Inside Tube Surface Area

Inside Tube Surface Area is the inside surface area of the tube.

Symbol: A_i

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Inside Tube Surface Area

Inside Convection Heat Transfer Coefficient

Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc.

Symbol: h_inside

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Inside Convection Heat Transfer Coefficient

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Heat Exchanger category

Go Capacity Rate

C = ṁ \cdot c

Go Fouling Factor

R f = (\frac{1}{U d}) - (\frac{1}{U})

How to Evaluate Overall Heat Transfer Coefficient for Unfinned Tube?

Overall Heat Transfer Coefficient for Unfinned Tube evaluator uses Overall Heat Transfer Coefficient after Fouling = 1/((1/External Convection Heat Transfer Coefficient)+Fouling Factor on Outside of Tube+(((Outside Tube Diameter*(ln(Outside Tube Diameter/Inside Tube Diameter))))/(2*Thermal Conductivity))+((Fouling Factor on Inside of Tube*Outside Tube Surface Area)/Inside Tube Surface Area)+(Outside Tube Surface Area/(Inside Convection Heat Transfer Coefficient*Inside Tube Surface Area))) to evaluate the Overall Heat Transfer Coefficient after Fouling, The Overall Heat Transfer Coefficient for Unfinned Tube formula is defined as the function of Outside Tube Surface Area, Inside Tube Surface Area, Thermal Resistance for Conduction Offered By Tube, Inside Convection Heat Transfer Coefficient, External Convection Heat Transfer Coefficient. Overall Heat Transfer Coefficient after Fouling is denoted by U_d symbol.

How to evaluate Overall Heat Transfer Coefficient for Unfinned Tube using this online evaluator? To use this online evaluator for Overall Heat Transfer Coefficient for Unfinned Tube, enter External Convection Heat Transfer Coefficient (h_outside), Fouling Factor on Outside of Tube (R_o), Outside Tube Diameter (d_o), Inside Tube Diameter (d_i), Thermal Conductivity (k), Fouling Factor on Inside of Tube (R_i), Outside Tube Surface Area (A_o), Inside Tube Surface Area (A_i) & Inside Convection Heat Transfer Coefficient (h_inside) and hit the calculate button.

FAQs on Overall Heat Transfer Coefficient for Unfinned Tube

What is the formula to find Overall Heat Transfer Coefficient for Unfinned Tube?

The formula of Overall Heat Transfer Coefficient for Unfinned Tube is expressed as Overall Heat Transfer Coefficient after Fouling = 1/((1/External Convection Heat Transfer Coefficient)+Fouling Factor on Outside of Tube+(((Outside Tube Diameter*(ln(Outside Tube Diameter/Inside Tube Diameter))))/(2*Thermal Conductivity))+((Fouling Factor on Inside of Tube*Outside Tube Surface Area)/Inside Tube Surface Area)+(Outside Tube Surface Area/(Inside Convection Heat Transfer Coefficient*Inside Tube Surface Area))). Here is an example- 0.718493 = 1/((1/17)+0.001+(((2.68*(ln(2.68/1.27))))/(2*10.18))+((0.002*14)/12)+(14/(1.35*12))).

How to calculate Overall Heat Transfer Coefficient for Unfinned Tube?

With External Convection Heat Transfer Coefficient (h_outside), Fouling Factor on Outside of Tube (R_o), Outside Tube Diameter (d_o), Inside Tube Diameter (d_i), Thermal Conductivity (k), Fouling Factor on Inside of Tube (R_i), Outside Tube Surface Area (A_o), Inside Tube Surface Area (A_i) & Inside Convection Heat Transfer Coefficient (h_inside) we can find Overall Heat Transfer Coefficient for Unfinned Tube using the formula - Overall Heat Transfer Coefficient after Fouling = 1/((1/External Convection Heat Transfer Coefficient)+Fouling Factor on Outside of Tube+(((Outside Tube Diameter*(ln(Outside Tube Diameter/Inside Tube Diameter))))/(2*Thermal Conductivity))+((Fouling Factor on Inside of Tube*Outside Tube Surface Area)/Inside Tube Surface Area)+(Outside Tube Surface Area/(Inside Convection Heat Transfer Coefficient*Inside Tube Surface Area))). This formula also uses Natural Logarithm (ln) function(s).

Can the Overall Heat Transfer Coefficient for Unfinned Tube be negative?

No, the Overall Heat Transfer Coefficient for Unfinned Tube, measured in Heat Transfer Coefficient cannot be negative.

Which unit is used to measure Overall Heat Transfer Coefficient for Unfinned Tube?

Overall Heat Transfer Coefficient for Unfinned Tube 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 Overall Heat Transfer Coefficient for Unfinned Tube can be measured.

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Overall Heat Transfer Coefficient for Unfinned Tube Formula

Overall Heat Transfer Coefficient for Unfinned Tube Example

Overall Heat Transfer Coefficient for Unfinned Tube Solution

Overall Heat Transfer Coefficient for Unfinned Tube Formula Elements

Other formulas in Heat Exchanger category

How to Evaluate Overall Heat Transfer Coefficient for Unfinned Tube?

FAQs on Overall Heat Transfer Coefficient for Unfinned Tube

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