Pressure at Inlet considering Maximum Flow Rate of Fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure at Nozzle Inlet = (Specific Heat Ratio+1)/(2*Specific Heat Ratio)*Density of Air Medium*Velocity of Flow at Nozzle Outlet^2
P1 = (y+1)/(2*y)*ρa*Vf2^2
This formula uses 4 Variables
Variables Used
Pressure at Nozzle Inlet - (Measured in Pascal) - Pressure at Nozzle Inlet is the pressure of the fluid at the inlet point of the orifice or the nozzle.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.
Density of Air Medium - (Measured in Kilogram per Cubic Meter) - Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.
Velocity of Flow at Nozzle Outlet - (Measured in Meter per Second) - The Velocity of Flow at Nozzle Outlet is velocity of the fluid at the outlet of the orifice or the nozzle.
STEP 1: Convert Input(s) to Base Unit
Specific Heat Ratio: 1.4 --> No Conversion Required
Density of Air Medium: 1.29 Kilogram per Cubic Meter --> 1.29 Kilogram per Cubic Meter No Conversion Required
Velocity of Flow at Nozzle Outlet: 251 Meter per Second --> 251 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P1 = (y+1)/(2*y)*ρa*Vf2^2 --> (1.4+1)/(2*1.4)*1.29*251^2
Evaluating ... ...
P1 = 69661.1057142857
STEP 3: Convert Result to Output's Unit
69661.1057142857 Pascal -->69661.1057142857 Newton per Square Meter (Check conversion here)
FINAL ANSWER
69661.1057142857 69661.11 Newton per Square Meter <-- Pressure at Nozzle Inlet
(Calculation completed in 00.020 seconds)

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Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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7 Multiphase Compressible Flow Calculators

Pressure at Inlet of Tank or Vessel considering Compressible Fluid Flow
Go Pressure of Still Air = Stagnation Pressure in Compressible Flow/((1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)))
Density of Fluid considering Velocity at Outlet of Orifice
Go Density of Air Medium = (2*Specific Heat Ratio*Pressure at Nozzle Inlet)/(Velocity of Flow at Nozzle Outlet^2*(Specific Heat Ratio+1))
Pressure at Inlet considering Maximum Flow Rate of Fluid
Go Pressure at Nozzle Inlet = (Specific Heat Ratio+1)/(2*Specific Heat Ratio)*Density of Air Medium*Velocity of Flow at Nozzle Outlet^2
Velocity of Sound Wave using Adiabatic Process
Go Velocity of Sound in Medium = sqrt(Specific Heat Ratio*Gas Constant in Compressible Flow*Absolute Temperature)
Absolute Temperature for Velocity of Sound Wave using Adiabatic Process
Go Absolute Temperature = (Velocity of Sound in Medium^2)/(Specific Heat Ratio*Gas Constant in Compressible Flow)
Velocity of Sound Wave using Isothermal Process
Go Velocity of Sound in Medium = sqrt(Gas Constant in Compressible Flow*Absolute Temperature)
Absolute Temperature for Velocity of Sound Wave in Isothermal Process
Go Absolute Temperature = (Velocity of Sound in Medium^2)/Gas Constant in Compressible Flow

Pressure at Inlet considering Maximum Flow Rate of Fluid Formula

Pressure at Nozzle Inlet = (Specific Heat Ratio+1)/(2*Specific Heat Ratio)*Density of Air Medium*Velocity of Flow at Nozzle Outlet^2
P1 = (y+1)/(2*y)*ρa*Vf2^2

What is a nozzle?

A nozzle is a device designed to control the direction or characteristics of a fluid flow as it exits an enclosed chamber or pipe. A nozzle is often a pipe or tube of varying cross-sectional area, and it can be used to direct or modify the flow of a fluid.

Does nozzle increase velocity?

Nozzles are frequently used to control the rate of flow, speed, direction, mass, shape, and/or the pressure of the stream that emerges from them. In a nozzle, the velocity of fluid increases at the expense of its pressure energy.

How to Calculate Pressure at Inlet considering Maximum Flow Rate of Fluid?

Pressure at Inlet considering Maximum Flow Rate of Fluid calculator uses Pressure at Nozzle Inlet = (Specific Heat Ratio+1)/(2*Specific Heat Ratio)*Density of Air Medium*Velocity of Flow at Nozzle Outlet^2 to calculate the Pressure at Nozzle Inlet, The Pressure at inlet considering maximum flow rate of fluid formula is known while considering the specific heat ratio, velocity of flow through the nozzle outlet, and the density of fluid at point one. Pressure at Nozzle Inlet is denoted by P1 symbol.

How to calculate Pressure at Inlet considering Maximum Flow Rate of Fluid using this online calculator? To use this online calculator for Pressure at Inlet considering Maximum Flow Rate of Fluid, enter Specific Heat Ratio (y), Density of Air Medium a) & Velocity of Flow at Nozzle Outlet (Vf2) and hit the calculate button. Here is how the Pressure at Inlet considering Maximum Flow Rate of Fluid calculation can be explained with given input values -> 69661.11 = (1.4+1)/(2*1.4)*1.29*251^2.

FAQ

What is Pressure at Inlet considering Maximum Flow Rate of Fluid?
The Pressure at inlet considering maximum flow rate of fluid formula is known while considering the specific heat ratio, velocity of flow through the nozzle outlet, and the density of fluid at point one and is represented as P1 = (y+1)/(2*y)*ρa*Vf2^2 or Pressure at Nozzle Inlet = (Specific Heat Ratio+1)/(2*Specific Heat Ratio)*Density of Air Medium*Velocity of Flow at Nozzle Outlet^2. The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow, Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume & The Velocity of Flow at Nozzle Outlet is velocity of the fluid at the outlet of the orifice or the nozzle.
How to calculate Pressure at Inlet considering Maximum Flow Rate of Fluid?
The Pressure at inlet considering maximum flow rate of fluid formula is known while considering the specific heat ratio, velocity of flow through the nozzle outlet, and the density of fluid at point one is calculated using Pressure at Nozzle Inlet = (Specific Heat Ratio+1)/(2*Specific Heat Ratio)*Density of Air Medium*Velocity of Flow at Nozzle Outlet^2. To calculate Pressure at Inlet considering Maximum Flow Rate of Fluid, you need Specific Heat Ratio (y), Density of Air Medium a) & Velocity of Flow at Nozzle Outlet (Vf2). With our tool, you need to enter the respective value for Specific Heat Ratio, Density of Air Medium & Velocity of Flow at Nozzle Outlet 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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