Average temperature difference between plate and fluid Calculator

✖Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".ⓘ Heat Flux [q']			+10% -10%
✖Distance L is the distance from the leading edge.ⓘ Distance L [L]			+10% -10%
✖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.ⓘ Thermal Conductivity [k]			+10% -10%
✖Reynolds number at location L is denoted by the symbol ReL. It is used to determine the type of flow pattern as laminar or turbulent while flowing through a pipe.ⓘ Reynolds Number at Location L [ReL]			+10% -10%
✖The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Prandtl Number [Pr]			+10% -10%

✖Average temperature difference is the the average value of temperature difference between two values.ⓘ Average temperature difference between plate and fluid [δT_avg]

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Average temperature difference between plate and fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333))
δT_avg = ((q'*L/k))/(0.679*(ReL^0.5)*(Pr^0.333))
This formula uses 6 Variables

Variables Used

Average Temperature Difference - Average temperature difference is the the average value of temperature difference between two values.
Heat Flux - (Measured in Watt per Square Meter) - Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".
Distance L - (Measured in Meter) - Distance L is the distance from the leading edge.
Thermal Conductivity - (Measured in Watt per Meter per K) - 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.
Reynolds Number at Location L - Reynolds number at location L is denoted by the symbol ReL. It is used to determine the type of flow pattern as laminar or turbulent while flowing through a pipe.
Prandtl Number - The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

STEP 1: Convert Input(s) to Base Unit

Heat Flux: 400 Watt per Square Meter --> 400 Watt per Square Meter No Conversion Required
Distance L: 0.39 Meter --> 0.39 Meter No Conversion Required
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Reynolds Number at Location L: 2.5 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δT_avg = ((q'*L/k))/(0.679*(ReL^0.5)*(Pr^0.333)) --> ((400*0.39/10.18))/(0.679*(2.5^0.5)*(0.7^0.333))

Evaluating ... ...

δT_avg = 16.0738308727467

STEP 3: Convert Result to Output's Unit

16.0738308727467 --> No Conversion Required

FINAL ANSWER

16.0738308727467 ≈ 16.07383 <-- Average Temperature Difference

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » External flow » Flow over Flat Plate » Mechanical » Laminar Flow » Average temperature difference between plate and fluid

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< Laminar Flow Calculators

Hydrodynamic boundary layer thickness at distance X from leading edge

LaTeX Go Hydrodynamic Boundary Layer Thickness = 5*Distance from Point to YY Axis*Reynolds Number(x)^(-0.5)

Thermal boundary layer thickness at distance X from leading edge

LaTeX Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)

Displacement thickness

LaTeX Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3

Momentum thickness

LaTeX Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Average temperature difference between plate and fluid Formula

LaTeX Go

Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333))
δT_avg = ((q'*L/k))/(0.679*(ReL^0.5)*(Pr^0.333))

What is external flow?

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.

An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Average temperature difference between plate and fluid?

Average temperature difference between plate and fluid calculator uses Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333)) to calculate the Average Temperature Difference, Average temperature difference between plate and fluid formula is defined as a measure of the average temperature difference between the plate and the fluid flowing over it, which is a critical parameter in understanding the heat transfer phenomenon in various engineering applications, particularly in flow over flat plates. Average Temperature Difference is denoted by δT_avg symbol.

How to calculate Average temperature difference between plate and fluid using this online calculator? To use this online calculator for Average temperature difference between plate and fluid, enter Heat Flux (q'), Distance L (L), Thermal Conductivity (k), Reynolds Number at Location L (ReL) & Prandtl Number (Pr) and hit the calculate button. Here is how the Average temperature difference between plate and fluid calculation can be explained with given input values -> 16.07383 = ((400*0.39/10.18))/(0.679*(2.5^0.5)*(0.7^0.333)).

FAQ

What is Average temperature difference between plate and fluid?

Average temperature difference between plate and fluid formula is defined as a measure of the average temperature difference between the plate and the fluid flowing over it, which is a critical parameter in understanding the heat transfer phenomenon in various engineering applications, particularly in flow over flat plates and is represented as δT_avg = ((q'*L/k))/(0.679*(ReL^0.5)*(Pr^0.333)) or Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333)). Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q", Distance L is the distance from the leading edge, 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, Reynolds number at location L is denoted by the symbol ReL. It is used to determine the type of flow pattern as laminar or turbulent while flowing through a pipe & The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

How to calculate Average temperature difference between plate and fluid?

Average temperature difference between plate and fluid formula is defined as a measure of the average temperature difference between the plate and the fluid flowing over it, which is a critical parameter in understanding the heat transfer phenomenon in various engineering applications, particularly in flow over flat plates is calculated using Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333)). To calculate Average temperature difference between plate and fluid, you need Heat Flux (q'), Distance L (L), Thermal Conductivity (k), Reynolds Number at Location L (ReL) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Heat Flux, Distance L, Thermal Conductivity, Reynolds Number at Location L & Prandtl Number 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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