Density of fluid flowing over flat plate given Stanton Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density of Fluid = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity)
ρfluid = hx/(St*c*u)
This formula uses 5 Variables
Variables Used
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Local Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Local heat transfer coefficient at a particular point on the heat-transfer surface, equal to the local heat flux at this point divided by the local temperature drop.
Stanton Number - The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Free Stream Velocity - (Measured in Meter per Second) - Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.
STEP 1: Convert Input(s) to Base Unit
Local Heat Transfer Coefficient: 500 Watt per Square Meter per Kelvin --> 500 Watt per Square Meter per Kelvin No Conversion Required
Stanton Number: 0.4 --> No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion here)
Free Stream Velocity: 70 Meter per Second --> 70 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρfluid = hx/(St*c*u) --> 500/(0.4*4184*70)
Evaluating ... ...
ρfluid = 0.00426795957388692
STEP 3: Convert Result to Output's Unit
0.00426795957388692 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
0.00426795957388692 0.004268 Kilogram per Cubic Meter <-- Density of Fluid
(Calculation completed in 00.004 seconds)

Credits

Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has created this Calculator and 200+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

12 Reynolds Analogy Calculators

Local skin friction coefficient
Go Local Skin-Friction Coefficient = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Free Stream Velocity)
Local heat transfer coefficient
Go Local Heat Transfer Coefficient = (Local Skin-Friction Coefficient*Density of Fluid*Specific Heat Capacity*Free Stream Velocity)/2
Specific heat capacity of fluid flowing over flat plate
Go Specific Heat Capacity = (2*Local Heat Transfer Coefficient)/(Density*Local Skin-Friction Coefficient*Free Stream Velocity)
Free stream velocity of fluid flowing over flat plate
Go Free Stream Velocity = (2*Local Heat Transfer Coefficient)/(Density*Specific Heat Capacity*Local Skin-Friction Coefficient)
Density of fluid flowing over flat plate
Go Density = (2*Local Heat Transfer Coefficient)/(Local Skin-Friction Coefficient*Specific Heat Capacity*Free Stream Velocity)
Specific heat capacity of fluid flowing over flat plate given Stanton Number
Go Specific Heat Capacity = Local Heat Transfer Coefficient/(Density of Fluid*Stanton Number*Free Stream Velocity)
Free stream velocity of fluid flowing over flat plate given Stanton Number
Go Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat Capacity*Stanton Number)
Stanton Number given local heat transfer coefficient and fluid properties
Go Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat Capacity*Free Stream Velocity)
Density of fluid flowing over flat plate given Stanton Number
Go Density of Fluid = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity)
Local heat transfer coefficient given Stanton Number
Go Local Heat Transfer Coefficient = (Stanton Number*Density of Fluid*Specific Heat Capacity*Free Stream Velocity)
Stanton Number given local skin friction coefficient
Go Stanton Number = Local Skin-Friction Coefficient/2
Local skin friction coefficient given Stanton Number
Go Local Skin-Friction Coefficient = 2*Stanton Number

Density of fluid flowing over flat plate given Stanton Number Formula

Density of Fluid = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity)
ρfluid = hx/(St*c*u)

What is Reynolds analogy?

Reynolds analogy describes a relationship between heat transfer and friction coefficients when a fluid is flowing over the surface of a flat plate or inside the tube. Reynolds analogy can be used for both laminar as well as for turbulent flow it is misconceptualized that it can only be used for turbulent flow.

How to Calculate Density of fluid flowing over flat plate given Stanton Number?

Density of fluid flowing over flat plate given Stanton Number calculator uses Density of Fluid = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity) to calculate the Density of Fluid, The Density of fluid flowing over flat plate given Stanton Number formula calculates the density of the fluid flowing over a flat plate by using Reynolds analogy when there is Stanton Number is given. Density of Fluid is denoted by ρfluid symbol.

How to calculate Density of fluid flowing over flat plate given Stanton Number using this online calculator? To use this online calculator for Density of fluid flowing over flat plate given Stanton Number, enter Local Heat Transfer Coefficient (hx), Stanton Number (St), Specific Heat Capacity (c) & Free Stream Velocity (u) and hit the calculate button. Here is how the Density of fluid flowing over flat plate given Stanton Number calculation can be explained with given input values -> 0.017072 = 500/(0.4*4184*70).

FAQ

What is Density of fluid flowing over flat plate given Stanton Number?
The Density of fluid flowing over flat plate given Stanton Number formula calculates the density of the fluid flowing over a flat plate by using Reynolds analogy when there is Stanton Number is given and is represented as ρfluid = hx/(St*c*u) or Density of Fluid = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity). Local heat transfer coefficient at a particular point on the heat-transfer surface, equal to the local heat flux at this point divided by the local temperature drop, The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount & Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.
How to calculate Density of fluid flowing over flat plate given Stanton Number?
The Density of fluid flowing over flat plate given Stanton Number formula calculates the density of the fluid flowing over a flat plate by using Reynolds analogy when there is Stanton Number is given is calculated using Density of Fluid = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity). To calculate Density of fluid flowing over flat plate given Stanton Number, you need Local Heat Transfer Coefficient (hx), Stanton Number (St), Specific Heat Capacity (c) & Free Stream Velocity (u). With our tool, you need to enter the respective value for Local Heat Transfer Coefficient, Stanton Number, Specific Heat Capacity & Free Stream Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!